What is the slope of the given line? (Use only whole numbers or fractions to answer)

What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)

What Is The Slope Of The Given Line? (Use Only Whole Numbers Or Fractions To Answer)What Is The Y-intercept

Answers

Answer 1

Answer:

Slope m= -12/5

Step-by-step explanation:

Slope Solution

m=riserun=ΔyΔx

m=y2−y1x2−x1

m=−9−37−2

m=−125

m=−125

In decimals:

m = -2.4

Point Slope Form

y−y1=m(x−x1)

y−3=−125(x−2)

In decimals:

y−3=−2.4(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−3=−125(x−2)

y−3=−125x−(−125×2)

y−3=−125x−−245

y−3=−125x+245

y=−125x+245+3

y=−125x+395

m=−125

b=395

In decimals:

y=−2.4x+7.8

Standard Form of a Linear Equation

Ax+By=C

Starting with y = mx + b

y=−125x+395

Multiply through by the common denominator, 5, to eliminate the fractions:

5y=−12x+39

Then rearrange to the Standard Form Equation:

12x+5y=39

A=12

B=5

C=39

y-Intercept, when x = 0

y=mx+b

y=−125x+395

When x = 0

y=−125×0+395

y=395

y-intercept=395

(x,y)=(0,395)

In decimals:

(x,y)=(0,7.8)

x-Intercept, when y = 0

y=mx+b

y=−125x+395

When y = 0

0=−125x+395

125x=395

x=395×512

x=3912

x=134

x-intercept=134

(x,y)=(134,0)

In decimals:

(x,y)=(3.25,0)


Related Questions

14 White shapes and black shapes
Some of the shapes are circles.
All the other shapes are squares
are used is a game
The ratio of the number of white shapes to the number of black shapes is 3:7
The ratio of the number of white circles to the sumber of white squares is 4:5
The ratio of the number of black circles to the number of black squares is 2:5
Work out what fraction of all the shapes are circles.

Answers

Answer:

1/3

Step-by-step explanation:

Check the attachment.

help me please i am so confused please

Answers

Answer: 75$

Step-by-step explanation:

1/4 is equal to 25/100.

meaning that 1/4 is 25 out of 100.

Based on that, if we subtract 25 from 100 we get 75.

How do I know if a score is good or not on a math map test

Answers

Answer:

on the math and reading test, 240 (reading) and 250 (math) are typical top scores.

Step-by-step explanation:

A washer and dryer cost a total of $1184. The cost of the washer is three times the cost of the dryer. Find the cost of each of them.

Answers

The cost of a washer is $1184 while the cost of a drier is $296

Word Problem

Given Data

Total cost of washer and dryer = $1184let the cost of a washer be  = wlet the cost of a drier be = d

Hence,

w+d = 1184 -------------1

we know that the cost of the washer is three times the cost of the dryer.

w = 3d -------------------2

put w = 3d in equation 1

3d + d = 1184

4d = 1184

d = 1184/4

d = 296

The cost of a drier is $296

put d = $296 in equation 2

w = 3*296

w = $888

Check:

$888+$296 = $1184

Learn more about word problem here:

https://brainly.com/question/25693822

For time measured in seconds, where t is greater than or equal to zero, the velocity of a particle

Answers

Answer: So, to find velocity we take the first derivative of the equation.

just in case you do not know how to take a derivative or a polynomial

the derivative of axn  = naxn-1  where a is a coefficient and n is the exponent.

s' = 3t2 - 24t +36 this is your velocity in time t.

to solve for your velocity at t = 3 seconds we will plug 3 seconds into any t in the velocity equation.

s' = v this is just stating that s' is equal to your velocity

v = 3(3)2 - 24(3) + 36

v = 27 - 72 + 36

v = -9 m/s

to find when the particle is at rest we must consider the at rest velocity which is 0. An object at rest has no velocity(only applies to Newtonian mechanics)

so, we will change v to 0 and solve for t

0 = 3t2 - 24t + 36

to solve this we need to factor to quadratic equation.

to solve this we first will factor out 3 from the equation.

0 = 3(t2 - 8t + 12)

now we can factor. we need two numbers that when multiplied together give 12 but when added give -8. since the addition is negative and the multiplication is positive we know that we are dealing with two negative integers.

we end up with

0 = (t-2)(t-6)   the three was divided on both sides to eliminate it from the equation.

so, the particle is at 0 at t = 2 seconds and t = 6 seconds.

Now, just because the particle has 0 velocity does not mean it has no acceleration. However, I do not believe the acceleration is important for this problem.

To find when the particle is moving forward you must consider again when it is at 0. When it is at 0 a speed change is happening. So, to find out if velocity is positive or negative we will test a number before 2 after 2 but before 6 and after 6.

So, we can start with t = 0 for the before 2 number

v = 3(0) - 24(0) + 36

we get v = 36 which is positive. So, the particle was moving forward before 2 seconds.

now we have already used 3 seconds and we got a negative velocity. So, the particle is moving backwards at t = 3 seconds.

So the last one to check is after 6 seconds. We will choose 10 for this one because it is easy to multiply with.

v = 300 - 120 + 36 = a positive number. You do not actually need to know what number as long as you know it is positive. That means the particle was moving forward after 6 seconds.

to find the total distance traveled we must break up the distance equation by direction of travel. So, we must take the distance traveled by the particle in pieces using the original equation.

s = t3 -12t2 + 36t

first we will solve for the distance traveled in 2 seconds.

s = 8 - 48 + 72 = 32 meters

Now we will solve for 6 seconds and figure out the distance traveled from 32 meters in the opposite direction. Then we will add the two numbers together.

s =216 - 432 + 192 = -24 meters

To find the distance travelled between 2 and 6 seconds we add the absolute value of the values together.

We end up with distance traveled between 2 and 6 seconds was

56 meters

we then add this to the original 24 meters to get the distance traveled from 0 to 6 seconds of

88 meters

then we solve for the distance at 8 seconds

s = 512 - 768 + 288 = 32 meters

so, again we add the absolute values of the previous time interval with the one we just calculated for.

24 + 32 = 56 meters. So, the particle traveled back up at this point.

We add the new 56 with the current total of 88 meters to get

total distance traveled  = 144 meters

this shows us that the particle is moving in a wave pattern from 0 to 8 seconds. So, if you were to draw a graph you would have a particle start at s = 0 and t = 0, then the particle would move much like the graph of sine instead of stopping at 1 it would stop at s = 32 then drop down to s = -24 and rise up continuously after that.

Step-by-step explanation:

Please help me with this problem I’m very confused and cannot figure it out

Answers

There has to be a common denominator in order to add fraction.
1 / a + b and 5 / 2 ( a + b)

the common denominator would be 2(a+b) therefore multiple thé first fraction by 2, and the second by 1.

2 / 2(a + b) + 5 / 2(a + b)

2 + 5 = 7
the denominator stays the same
so 7 / 2(a + b)

Mrs. Reyes had some apples. If she gave each student 3 apples, she would have 2 apples left have. If she gave each students 4 apples each she would be 2 short. How many apples did she have.

Answers

Answer:

14 apples

Step-by-step explanation:

Let

Number of apples = aNumber of students = s

According to question we have equations

a = 3s + 2a = 4s - 2

Find the number of students by substitution

3s + 2 = 4s - 24s - 3s = 2 + 2s = 4

Find the number of apples

a = 3*4 + 2 = 12 + 2 = 14

Answer:

14 apples

Step-by-step explanation:

Let x = number of students

Let y = total number of apples

Create a system of equations with the given information.

Equation 1

If she gave each student 3 apples, she would have 2 apples left:

⇒ y - 3x = 2

Equation 2

If she gave each students 4 apples each she would be 2 short:

⇒ y - 4x = -2

Rewrite Equation 1 to make y the subject:

⇒ y = 2 + 3x

Substitute this into Equation 2 and solve for x:

⇒ (2 + 3x) - 4x = -2

⇒ 2 + 3x - 4x = -2

⇒ 2 - x = -2

⇒ -x = -4

⇒ x = 4

Substitute the found value of x into the rewritten Equation 1 and solve for y:

⇒ y = 2 + 3(4)

⇒ y = 2 + 12

⇒ y = 14

Therefore, Mrs Reyes had 14 apples.

round to the nearest whole number

Answers

Answer:

SA = 527.52 cm²

Step-by-step explanation:

Cone SA = πr(r + √(h² + r²))

π = 3.14r = 7h = ?

Find h

Step 1. Create a right triangle with the radius (attached image)

Step 2. Pythagorean Theorem

a² + b² = c²

7² + b² = 17²

b² = 289 - 49

b = √240

b or h = 4√15

Solve for SA

SA = πr(r + √(h² + r²))

SA = 3.14 · 7 · (7 + √(4√15² + 7²))

SA = 21.98(7 + √(240 + 49))

SA = 21.98 (7 + 17)

SA = 527.52 cm²

Hope this helps!

Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

Answers

The wedge is an illustration of arc lengths, and Tyler's ledge is larger than Priya's wedge

How to determine the larger wedge?

From the question, the arc length of Tyler's wedge is:

L = 12 cm

For Priya's wedge, we have the following highlights:

Radius = 9 cm

Angle = 60 degrees i.e. the angle when a circle is divided into 6 sectors

Priya's arc length is then calculated as:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]L = \frac{60}{360} * 2 * 3.14 * 9[/tex]

Evaluate

L = 9.42

By comparing the arc lengths 9.42 and 12 cm, we have 12 cm > 9.42 cm

Hence, Tyler's ledge is larger than Priya's wedge

#SPJ1

Read more about arc lengths at:

https://brainly.com/question/15589041

In lancaster, the library is 9 miles due south of the courthouse and 4 miles due west of the
community swimming pool. what is the distance between the courthouse and the community
swimming pool? if necessary, round the nearest tenth.

Answers

use brainly to find the answer

The radius,R, of a sphere is8.2mm . Calculate the sphere's volume,V .
Use the value 3.14 for[tex]\pi[/tex] , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

( Sphere’s volume ) = 4 x 3.14 x r^3 / 3

The answer is 2308.4

Yo imma need this quick.

Answers

Answer:2 11/12

Step-by-step explanation:

7/12+28/12= 35/12= 2 11/12

28/12=7/3 btw

2 4/12+7/12=2 11/12

Answer:

Ok the answer is going to be 35/12

try that I hope I helped you

Step-by-step explanation:

Hello Brainilest Brains, I was wondering what 87x72 is. Please say the answer in the answer section below. Thanks for the help!

Answers

Answer:

6,264

Step-by-step explanation:

Answer:

6264

Step-by-step explanation:

72 x 8 = 576

576 x 10 = 5760

72 x 7 = 504

5760 + 504

6264

please help me....asap

Answers

Answer:

a.

Step-by-step explanation:

the study is on teens, and its impossible to survey every teen since they didnt specify how many teens there were. so the answer is a, survey 100 teens.

help me please, please

Answers

The little square means a right angle which is equal to 90 degrees.

X + 30 = 90

X = 60 degrees

A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40

Answers

By using the given domain and range, we will see that the false statements are:

1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88

Which statement is false?

What we know about the function f(x) is:

The domain is: -10 ≤ x ≤ 20

The range is: -40 ≤ f(x) ≤ -10

Which statements are false:

1)  f(0)= 0

This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.

2. f(1) = 13

Same reasoning than above, 13 is outside of the range.

3. f(-15) =- 20

The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.

4)  f(-9) = 88

88 is outside the range of the function, so this is false.

If you want to learn more about functions, you can read:

https://brainly.com/question/4025726


Jenny paid $8.54 for a pizza. She now has $16.79. With how much money did she start


It needs to be written as an equation

Answers

Answer:

16.79 - 8.54= ? so the answer is 8.25

Step-by-step explanation:

~Hope this helps you~

C
250
4.9 cm
80°
A
3.8 cm
D
B
ABC is a triangle.
D is a point on AB.
Work out the area of triangle BCD.
Give your answer correct to 3 significant figures.

Answers

Answer:

[tex]10.4\: \sf cm^2\:(3\:sf)[/tex]

Step-by-step explanation:

[tex]\Large\boxed{\sf Formulae}[/tex]

Sine Rule

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Cosine rule

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

Area of a triangle

[tex]\textsf{Area of a triangle}=\dfrac12ab\sin C[/tex]

where:

C is the anglec is the side opposite the anglea and b are the sides adjacent the angle

[tex]\Large\boxed{\sf Calculation}[/tex]

To find the area of ΔBCD, find:

length of CDangle CDBlength of BD

Then use the sine rule for area of a triangle

Calculate length CD using cosine rule:

[tex]\implies CD^2=4.9^2+3.8^2-2(4.9)(3.8)\cos 80^{\circ}[/tex]

[tex]\implies CD^2=31.98334186...[/tex]

[tex]\implies CD=5.655381673...\:\sf cm[/tex]

Calculate ∠ADC using sine rule:

[tex]\implies \dfrac{\sin 80}{CD}=\dfrac{\sin ADC}{4.9}[/tex]

[tex]\implies ADC=\sin^{-1}\left(\dfrac{4.9 \sin 80}{CD}\right)=58.568949^{\circ}[/tex]

Therefore, ∠CDB = 180° - 58.568949° = 121.431051°

Use sine rule to calculate DB:

[tex]\implies \dfrac{DB}{\sin 25}=\dfrac{CD}{\sin CBD}[/tex]

[tex]\implies DB=\dfrac{5.655381673\sin25}{\sin 33.568949}=4.322471258..\: \sf cm[/tex]

[tex]\Large\boxed{\sf Solution}[/tex]

Use the sine rule for area of a triangle to find area of ΔBCD:

[tex]\implies A=\dfrac12(CD)(DB)\sin CDB[/tex]

[tex]\implies A=\dfrac12(5.655381673)(4.322471258)\sin (121.431051)[/tex]

[tex]\implies A=10.4\: \sf cm^2\:(3\:sf)[/tex]

Help please an explanation would be appreciated!!

An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 21.6-foot wall that has been built is 6 inches long on the blueprint. What is the scale for this blueprint?

A. 1 in. : 3.6 ft.
B. 1 in. : 6.3 ft.
C. 1 in. : 36 ft.
D. 1 in. : 63 ft.

Answers

Answer:

The answer is - A. 1 in. : 3.6 ft.

Step-by-step explanation:

In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it:

scale: 21.6/6

scale: 3.6

So, now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.

(I hope I helped you)

Ms. O'hara brought 2 bags of cookies and 1 pie from Carl. She paid with a $20 bill. What is the total amount of change, in dollars, Ms. O'hara should receive?

A bag of cookies sells for $3.
A pie sells for $8.

Answers

Answer:

$6.00 (Six dollars)

Step-by-step explanation:

Two bags of cookies = $6 (2 x $3)

One pie = $8

$6 + $8 = $14

$20-$14 = $6

Ms. O'hara should receive $6 in change.

What is the answer this math problem. -6+ -(8x - 3)

Answers

Answer:

x = -3÷8

or x = -0.375

Explanation:

-6+ -(8x-3)= -6-8x+3

= -8x -3

-8x-3= 0

-8x = 3

8x = -3

x = -3÷8

A cylinder has a volume of 825.192 cubic centimeters. The diameter of the cylinder is 12 cm. What is the height of the cylinder?

Answers

Answer:

Step-by-step explanation:

diameter = 12 cm

r = 12 ÷2 = 6cm

Volume of cylinder

[tex]\boxed{Volume=\pi r^{2}h}[/tex]

πr²h = 825.192 cubic cm

3.14 * 6 * 6 * h = 825.192

                   [tex]h =\dfrac{825.192}{3.14*6*6}[/tex]

                  h = 7.3 cm

Answer:

Height of cylinder is 7.3 cm

Step-by-step explanation:

Given :-

Diameter of cylinder is 12m , so radius would be 6mVolume of cylindrical is 825.192 cm³

To find :-

Height of cylinder

Solution:-

Volume of Cylinder = πr²h

825.192 cm³ = 3.14 × 6 × 6 × h

825.192/113.04 = h

7.3 cm = h

Find three rational numbers between - 2 and - 3

And please write in step by step explination. ​

Answers

Step-by-step explanation:

follow these steps with tbe no. of -2 and - 3 you will come with answer

Answer:

- 21/10, -5/2 and -11/4.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not zero).

So three naumbers between - 2 and -3 are

-2.1, -2.5 and -2.75  which can be written as:

- 21/10, -5/2 and -11/4.

The question is what is the range of the function shown on the graph above?

Answers

Answer:

0 ≤ y ≤ 7

Step-by-step explanation:

Hey there! :)

Please see an explanation for better understanding, and let me know if you have any questions!

What is Range?

Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.

For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.

Steps

To find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.

From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.

Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.

In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.

Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7

A bag contains 10 yellow cubes, 5 red cubes, and 15 blue cubes. Determine whether the following event is impossible, unlikely, as likely as not, likely, or certain.
A red cube is randomly drawn from the bag.

Answers

Answer:

I would say likely.

Step-by-step explanation:

I hope this helps.

there are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?

Answers

Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.

Step-by-step explanation:

Ratio
= boys : girls
= 15 : 10
=15/10
= 3/2
= 3:2
Hence the ratio of boys to girls is 3:2

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Using the Pythagorean theorem:

X^2 = 10^2 + 24^2

X^2 = 100 + 576

X^2 = 676

X = sqrt(676)

X = 26


answer: 26

Answer:

26 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Now lets find the square root!!

[tex]\sqrt{676}[/tex] = 26

Have an amazing day!!!

Please rate and mark brainliest!!

f g(x) = 2x + 2, find g(a + h) - g(a).

Answers

Answer: 2h

Step-by-step explanation:

A survey on healthy choices was given to gym members at Work It Out. The results showed that 90% of its members drank protein shakes. Of the members who drank protein shakes, 30% took weight-loss medication whereas only 10% of members who did not drink protein shakes took weight-loss medication. What is the probability that a gym member does not take weight-loss medication?

Answers

Answer:

63%

Step-by-step explanation:

First, create an easy number to start being able to grasp the concept.

Let us start with 100 members of "Work it Out"

90% drank protein shakes, which translates to 90 people.

30% of 90 people took weight loss medication, this is equal to 27 people. The 10% of the members that didn't take protein shakes (10) took weight loss medication. Add 10 to 27, then subtract from 100 to get the people that don't use weight loss medication. This gets us 63, then put over the total number of members to get 63%.

Hope this helps, and please mark me brainliest! :)

Answer:

63%

Step-by-step explanation:

Mark other person, I don't have a good explanation

To read her book report book, Jodi needs to read 365 pages in 10 days. Choose the correct equation and answer for this situation.

A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages
B. 365 ÷ 10= 2/73 pages
C. 10÷365 = 365/10 = 3 5/10= 3 1/2 pages
D. 10÷365 = 2/73 pages
(PLS ANSWER ONE OF THE OPTIONS)

Answers

Answer: A

Step-by-step explanation:

365/10 is the best way to figure it out

Answer:

A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages

Explanation:

rate = total pages/total days

Here:

total pages = 365 pagestotal days = 10 days

Rate:

365 ÷ 10 = 365/10 = 36 1/2 pages per day

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