Write the equation of the line that passes through (-3,5) and (2, 10) in slope-intercept form.
Oy=x+8
Oy=x-8
Oy= -5x - 10
Oy=-5x + 20

Answers

Answer 1

Answer:

[tex]y=x+8[/tex]

Step-by-step explanation:

Slope of straight line can be calculated as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex](x_1, y_1)=(-3, 5) \ and \ (x_2, y_2) = (2, 10)[/tex]

[tex]m =\frac{10-5}{2-(-3)}\\m=1[/tex]

Equation of straight line in slope intercept form is

[tex]y-y_1=m(x-x_1)\\y-5=(x+3)[/tex]

[tex]y=x+8[/tex]


Related Questions

Step 1:draw a triangle
Step 2:label the triangle using the given information .
Step 3: create and solve an equation to find the missing or angle.


At a point 30 feet from the base of a tree, the angle formed with the ground looking to
the top measures 53. Find, to the nearest foot, the height of the tree.

Can someone help me?

Answers

Answer:

40 feet to the nearest foot.

Step-by-step explanation:

The tree , the distance from the base of the tree on the ground (30 ft) and the distance from this point to the top of the tree form a right triangle.

So if the height of the tree is h:

tan 53 = h / 30

h = 30 tan53

h = 39.81 feet.

plz helpppppppppppppppppppppppppppppppppppp i will give brainliest

Answers

Answer:

You cannot see the question?

Step-by-step explanation:

I will mark brainliest if you explain the answer

Answers

Answer:

it is -2/3 because you move the point to the left twice and down three times.

2(13+x) less than or equal to 16

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

2(13+x)≤ 16

step 2

2(13+x)≤ 16  simplify

2x≤-10

step 3

[tex]\frac{2x}{2}\leq \frac{-10}{2}[/tex]  Divide both sides by (2)

answer

x≤-5

mind if i get brainliest?

Joe's Car Shop received a shipment of 40 cars. The cars each weighed the same amount. The total shipment weighed 55 tons. What
was the weight of each car in tons?

If anyone knows the answer please say the answer I need it by today.

Answers

Answer: Each car would be 1.25

Step-by-step explanation: I found this answer by dividing 50 by 44 since the thing all together weighed 5 and there were 44 cars and to check my thing i did 1.25 times 44 and i got 50 and if you add 1.25 44 timed you get 50!

A car moving at a constant speed passed a timing device at t=0. After 7 ​seconds, the car has traveled 567 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.

Answers

Answer:

The required equation is:

d = 81tf(t) = 81t

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 ​seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

                                        = [567 - 0] / [7-0]

                                        = 567 / 7

                                        = 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

what is the approximate distance between points A and B. giving brainlyest.

Answers

Answer:

7.62

Step-by-step explanation:

We can use the distance formula

d = sqrt(  (x2-x1)^2 + ( y2- y1) ^2 )

  d = sqrt(  (1 - -2)^2 + ( 4 - -3) ^2 )

  d = sqrt(  (1 +2)^2 + ( 4 +3) ^2 )

d = sqrt(  (3)^2 + ( 7) ^2 )

d = sqrt( 9+49)

d = sqrt( 58)

7.615773106 or approximately 7.62

Answer:

7.62

Step-by-step explanation:

Ultimately, you want to create the two imaginary lines to form a triangle and to find the hypotenuse which is the distance between point A and point B.  From point B to the center of point A but not at it is 7 units and from there to point A, it is 3 units.  7^2 and 3^2 make up 49 and 9 which equals to 58.  Finally, square root that number and you will get 7.62 as your distance.

An exercise machine with an original selling price of 1,275 is marked down by 20% . What is the sale price of the exercise​ machine?

Answers

Answer:

1020

Step-by-step explanation:

15(3x - 4y)
Use Distributive property

Answers

45x -4y is the answer

Answer:

45x - 60y

Step-by-step explanation:

15 × 3x = 45x

15 × 4y = 60y

put them together

45x - 60y

Complete the inequality statement.

8 5/12___ 8 3/8

>
<
=

Answers

Kkkkkkkkkkkkkkkkkkkk = 5

Need help with these 2 questions pls help me will mark brainiest

Answers

Answer: Which questions?

Answer:

The two questions are not available for the question.

Step-by-step explanation:

what are the domain and range?

Answers

Answer

Domain= {-6, -4, 3, 6}

Range= {2, 4, 6}

x + 6 = −x − 6
(so i can ask)kjhgfdccfghjk

Answers

Answer:

x = -6

Step-by-step explanation:

Equations

Solve the equation:

x + 6 = -x - 6

We must find the value of x that makes the identity above true.

Let's join all the variables on the left side and the numbers on the right side.

Adding x:

x + 6 + x = -x - 6 + x

The variables cancel out on the right side:

2x + 6 = -6

Subtracting 6:

2x + 6 - 6 = -6 -6

The 6 and -6 are canceled out:

2x = -12

Dividing by 2:

x = -12/2

x = -6

What is b x (5x 10) x to y

Answers

b^5 x b^10 = b^5+10

b^15

b^15 to y

1. Select the equations where y = 3 is the
solution. Circle all that apply.
A. y - 2=5
B. x = 0
c. = 1.5
D. y + 5 = 8
E. 15 - y = 12
F. 5y = 18


Pleaseee help

Answers

D and e is the answer
The only ones I know are that D is one because y=3 so 3+5=8 and E because 15-3=12

pls help due soon !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: ( B ) 10
Explanation: I hope this helps you with your stuff

14. Write the equation of a horizontal line that passes through the point (-2, 2).
y=2
x=-2
x=2
y=-2

Answers

Answer:

y=2

Step-by-step explanation:

horizontal lines are y= the y intercept

if you want the line to go through the point (-2,2) it would be y=2 because points are written as (x,y)

the line y=2 would cross through the y access at 2 and also cross through every other point that is (x,2)


3
Tanner purchased a new car for $10,000. The car's value is depreciating (Decreasing) by 5% each year. If this is an exponential situation, write an equation
for this situation, then determine the new value of the car after 3 years. Round your answer to two decimal places

Answers

Answer:

$8573.75

Step-by-step explanation:

The value of the car as a function of the number of years (t) is

V = $10,000(1.00-0.05)^t

which, after 3 years, comes to V = $10,000(1.00-0.05)^3 = $8573.75

Solve for x, 3-5x=18

Answers

Answer:

X = 3

Step-by-step explanation:

18 - 3 = 15

5x = 15

divide both sides by 5

X = 3

Answer:

[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]

x=-3 is the right answer.

a cube is dilated by a scale factor of 3/4 to create a new cube. what is the surface area of the new cube.

Answers

Answer:

9/16

Step-by-step explanation:

i took the test ;)

The surface area of the new cube is (27/8) times the surface area of the original cube

What is the surface area of cube?

The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.

Surface area S = 6a² ,

where a is the side of the cube

Given data ,

Let the original cube have side length 's'.

The surface area of the original cube is given by 6s^2, since a cube has 6 equal square faces.

When the cube is dilated by a scale factor of 3/4, each side length of the new cube is 3/4 times the length of the corresponding side of the original cube. Therefore, the side length of the new cube is:

s' = (3/4) s

The surface area of the new cube is also given by 6 times the area of one of its faces, which is:

(3/4)s x (3/4)s = (9/16)s²

Therefore, the surface area of the new cube is 6 times (9/16)s^2, or:

6 x (9/16)s² = (27/8)s²

Hence , the surface area of the new cube is (27/8) times the surface area of the original cube

To learn more about surface area of cube click :

https://brainly.com/question/12079637

#SPJ3

Can you please help me

Answers

250 * 5= 1250 i think

Six times a number minus 12. The result is Seventy two. What is the number?

Answers

Answer:

20 is the answer

Step-by-step explanation:

From the question we can deduce the formula to be 16 + 3n = 76

3n - 76 - 16

3n = 60

n = 20

20 is the answer.

Answer:

6x14-12=72

Step-by-step explanation:

6x14=84

84-12=72

20 points! I will mark brainliest

Answers

Answer:

the shortest distance is the distance from a point to a line that make 90° .

so AC is the shortest distance.

step by step explanationthen we have the find the distance between point A and C.to find that we use the distance formula .

d^2=(-3-1)^2 + (-3--1)^2

=(-4)^2 + (-2)^2

=16 + 4

=20

d=√20

this is the distance between point A and point C.

a) solve x + x + x = 54
b) solve y/5 = 7
c) solve 4t+6=24​

Answers

Answer:

a) x = 18

b) y = 35

c) t = 4.5

Step-by-step explanation:

a) x + x + x = 54

3x = 54

x = 54 ÷ 3

x = 18

b) y/5 = 7

(y/5) × 5 = 7 × 5

y = 35

c) 4t + 6 = 24

4t +6 - 6 = 24 -6

4t = 18

4t ÷ 4 = 18 ÷ 4

t = 4.5

Answer:

a) 18

b) 35

c) -4.5

Step-by-step explanation:

a) x + x + x = 54

combine like terms.

3x = 54

Divide both sides by 3.

x = 18

b) y / 5 = 7

Multiply both sides by 5.

y = 5 × 7

y = 35

c) 4t + 6 = 24

Take 6 to right side.

4t = 24 - 6

4t =  -18

Divide both sides by 4.

t =  -4.5

Point A is located in which quadrant?
5
3
6
8
Quadrant
Quadrant II
Quadrant III
O Quadrant IV

Answers

Answer:

Step-by-step explanation:

Quadrante 5

Quadrant II and the coordinates should be -5, 5

what is the y-intercept of the function f(x)=-2/9x + 1/3 ?​

Answers

Answer:

Approximately 0.333

Step-by-step explanation:

If we graph this we see that the line goes over the y-axis at (0,0.333)

*I use desmos graphing calculator*

Answer:

1/3 is the y-intercept of the function f(x)=-2/9x + 1/3.

Step-by-step explanation:

[tex]f(x) = mx + c \\ f(x) = - \frac{2}{9} x + \frac{1}{3}\\where,\:c\: is\: the\: intercept. [/tex]

Wile E. Coyote is pursuing the Road Runner across Great Britain toward Scotland. The Road Runner chooses his route randomly, such that there is a probability of 0.8 that he'll take the high road and 0.2 that he'll take the low road. If he takes the high road, the probability that Wile E. Catches him is 0.01. If he takes the low road, the probability he gets caught is 0.05.

Answers

Answer:

0.444

Step-by-step explanation:

The objective is to draw the tree diagram and find the probability that the roadrunner took the high road, given that he was caught.

The tree diagram is attached in the image below:

The required probability can be computed as:

[tex]P(high\ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)} {P(caught)} \\ \\ P(high \ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)}{P(high \ road \ and \ caught)+P(low \ road \ and \ caught)}[/tex]

[tex]P(high \ road \ | \ caught) =\dfrac{ 0.8*0.01 }{ 0.80*0.01 + 0.20*0.05} \\ \\ P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.008 + 0.01} \\ \\[/tex]

[tex]P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.018}[/tex]

[tex]\mathbf{P(high \ road \ | \ caught) = 0.444}[/tex]

The probability that he took the high road, given that he was caught is 0.444 and this can be determined by using the properties of probability.

Given :

The Road Runner chooses his route randomly, such that there is a probability of 0.8 that he'll take the high road and 0.2 that he'll take the low road. If he takes the high road, the probability that Wile E. Catches him is 0.01.If he takes the low road, the probability he gets caught is 0.05.

The required probability is given by:

[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(Caught)}[/tex]

[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(High \;road \;and \;caught)+P(Low\; road\; and \;caught)}[/tex]

[tex]\rm P=\dfrac{0.8\times 0.01}{0.8\times 0.01 + 0.2\times 0.05}[/tex]

[tex]\rm P=\dfrac{0.008}{0.018}[/tex]

P = 0.444

The probability that he took the high road, given that he was caught is 0.444.

For more information, refer to the link given below:

https://brainly.com/question/23044118

State which ordered pair could be added to the table of values to keep it a function.-

PLS HELP, I'LL MARK BRAINLEST AND GIVE 90 POINTS D:

Answers

Answer:

5

65

Step-by-step explanation:

+1

+10

Solve the system of equations.
x+6y=-7
2x+12y=-14

x=
y=

Answers

Answer:

Solve the system of equations.

x+6y=-7

2x+12y=-14

x=1

y=12

Step-by-step explanation:

Answer:

∞ amount of solutions

PLEASE SOMEONE HELP A LOT OF POINTS!!

Answers

Answer:

-5 or -3

Step-by-step explanation:

correct me if im wrong

PLEASE GIVE ME BRAINLEST I WORK HARD

Answer:

-3

Plzzzzz give me Brainliest!!!!!

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