A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?

Answers

Answer 1

Answer:

Step-by-step explanation:

Givens

These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.

x1  = - 1

x2 = m

y1 = - 2

y2 = 10

Second line formula for m

m = (y2 - y1) / (x2 - x1)            Substitute values for this equation

Solution

Note that the m you seek is both the slope of the second line, and the x  coordinate of one of the points.

m = (10 -  - 2) / (m - - 1)           Change the double minus, and combine

m = 12 / (m + 1)                       Multiply both sides by (m + 1)

m(m+1) = 12                             Remove the brackets

m^2 + m = 12                          Subtract 12 from both sides.

m^2 + m - 12 = 0                    Factor

(m + 4)(m - 3) = 0

We are told that m >0

So m- 3 = 0

m = 3

Answer

The value for m = 3. The first line also has a slope of 3


Related Questions

math pls help i’ve been stuck on this for the longest

Answers

Answers: Choice B, Choice C, Choice D

Basically it's almost everything but choice A

==================================================

Explanation:

When intersecting two lines to form an X shape, the vertical angles are the ones that form opposite one another. They do not have to align vertically, meaning they don't have to be stacked on top of one another. They could be side by side.

This applies to the following angle pairs

1 and 32 and 45 and 76 and 89 and 1110 and 1213 and 1514 and 16

The items in bold apply to choices B through D

Side note: Vertical angles are always congruent.

Answer:

2nd, 3rd and 4th options

Step-by-step explanation:

when two lines intersect to make an X , angles on opposite sides of the X are called vertical angles. These angles are congruent.

from the listed angles the following are vertical angles.

∠ 5 and ∠ 7

∠ 3 and ∠ 1

∠ 4 and ∠ 2

Other vertical angles in the diagrm include

∠ 6 and ∠ 8

∠ 9 and ∠ 11

∠ 10 and ∠ 12

∠ 13 and ∠ 15

∠ 14 and ∠ 16

Use the calculator to find the product of 4.17 and 2.3 × 106. Which statements are true about finding the product? Check all that apply.

4.17 is equivalent to 4.17 × 100.

4.17 is equivalent to 4.17 × 101.

The product has a positive exponent.

The coefficient is 6.

The E in the product is the indicator that the solution is in scientific notation.

The exponent of the product is the product of the original exponents.
PLSSS HELP

Answers

Answer:

I'm assuming that "106" is really 10^6

Step-by-step explanation:

4.17 is equivalent to 4.17 × 100.  NO  4.17 x 100 = 417

[If this is really 4.17 is equivalent to 4.17 × 10^0.  Then YES.  10^0 = 1]

4.17 is equivalent to 4.17 × 101.   NO  4.17 x 101 = 421.17

Again, if this is 10^1, then no.  10^1 = 10

The product has a positive exponent.   YES  

The coefficient is 6.

Coefficient?  NO.  Exponent?  Then YES

The E in the product is the indicator that the solution is in scientific notation.  YES  4.17E6 is 4.17 x 10^6

The exponent of the product is the product of the original exponents.

NO.  In multiplication, the exponents are added (as long as they have the same base)

A)4.17 is equivalent to 4.17 × 100.B)The product has a positive exponent.C)The E in the product is the indicator that the solution is in scientific notation.

EDGE 2022

Can someone give me the answer quickly

Answers

Answer:

I think the answer is 42%

I don't really know for sure though

-. Find the missing part that will make the equation a perfect square
U2 + 34u +

Answers

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

pls help me i need help

Answers

Answer:

[tex]4p^2-3[/tex]

Step-by-step explanation:

Please help me with this please and thank you

Answers

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

HELLLPP MEEE


An experiment consists of rolling a die and then flipping a coin.


The following tree diagram shows the possible outcomes.



A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.


What is the probability of rolling an even number or flipping a tail?


Enter your answer as a reduced fraction, like this: 3/14

Answers

Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by:

[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

find the missing side.

1) 2304
2) 3600
3) 1296
4) 36

Answers

Answer:

heya! ^^

here , we've been given a right angled triangle along with the measure of two of its sides.

and , we've to find the measure of its third side.

so , we'll be using Pythagoras Theorem to find the measure of the third side.

but first , let's take a look at what Pythagoras Theorem is-

Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.

according to the figure ,

side AB = hypotenuse = 60 cm

side AC = perpendicular = 48 cm

side BC = base = a

now by using Pythagoras Theorem ,

[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]

therefore ,

option ( 4 ) 36 is correct.

hope helpful :D

Answer:

36. (Option 4)

[tex] \\ [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

The base (BC) is a

The perpendicular (AC) is 48

The hypotenuse (AB) is 60.

[tex] \\ [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]

Therefore,

The measure of the third side (a) is 36.

so

x+y=24
x=2y

I need step by step ple

Answers

Answer:

y = 8x = 16

Explanation:

x + y = 24x = 2(y)

solve, insert equation 2 into 1

2(y) + y = 243(y) = 24y = 8

Find x:

x = 2(y)

x = 2(8)

x = 16

Answer:

y = 8

x = 16

Step-by-step explanation:

Given equations:

x + y = 24x = 2y

Reorganize the equations:

[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

Subtract:

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]

[tex]{ {{x - x + y + 2y= 24}[/tex]

[tex]3y= 24}[/tex]

Divide 3 both sides:

[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]

[tex]y = 8[/tex]

Substitute y in any equation:

[tex]x = 2(y)[/tex]

[tex]x = 2(8) = 16[/tex]

Evaluate the limit. (-2)^nn/4+n

Answers

Answer:

n

(

2

)

n

4

+

n

Step-by-step explanation:

pleaseeeeeeeee help me out here

Answers

Answer:

Step-by-step explanation:

-2  1/2 = -2.5( i between -2 and -3

 -3/4   One mark short to 1

        or 3 marks from  zero

Answer:

The -2 1/2 would goin the middle of the -3 and -2. 3/4 would go on the 3rd line between 0 and 1. Hope this helped

Step-by-step explanation:

Use what you know about triangles to classify this triangle.

Triangle with two acute angles and one ninety degree angle. Two sides are the same length.

Answers

Isosceles triangle!!!

Answer:

I believe this is an isosceles triangle! Hope this helps ^^

NEED HELP ASAP! WILL GIVE BRAINLIEST!!


1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?

1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?

A. one fourth x 6,766 = ________

B. 6 x 6,766 = ________

C. one half x 6,766 = ________

D. 1 x 6,766 = ________

1. A and C
2. D and B
3. A and B
4. C and D

Answers

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

It the C and D I promise you it’s correct.

)) What is the area of this figure?
5 mm
7 mm
6 mm
9 mm
7 mm
16 mm
3 mm
10 mm
)) Write your answer using decimals, if necessary.
1))
square millimeters

Answers

there’s no figure ……

Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
A=(
6 in
1
14 in
26 in
15 in

Answers

Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

183 in² = Area of shaded region

story with these 5 letters comprehend, collect, compare, community, college asap

Answers

In the word document :)

What is the volume of the rectangular prism below in cubic inches?

Answers

Answer:

24

Step-by-step explanation:

The volume formula is all the dimensions multiplied together, or lengthxwidthxheight.

So, you do 1x1x2 which is 2 feet. HOWEVER, it is looking for CUBIC INCHES, not cubic FEET.

There are twelve inches in a foot so 2x12=24 inches.

Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i

29 i - 20

- 21 i

29

Answers

(2 - 5i) ( 2 + 5i) (i)
(4 + 10i -10i -25) (i)
(4 - 25) (i)
-21i

A gift box in the shape of a
rectangular prism has a base area
of 56 square inches and a height of
4 inches. What is the volume of the
box in cubic inches?

F) 224
G) 448
H) 896
J) 12,544

Answers

I think it’s 224 but i’m not quite sure
56 * 4 = 224

So the volume is F (224 inches)

1000 to the fourth power(?

Answers

Answer:

Step-by-step explanation:

Answer: Raise 1000 to the power of 4

1000000000000

The answer to this is 1,000,000,000,000. We need to find the value of 4th power of this number. In this, we multiply the same number 4 times to obtain the term.

I need help with this
Conclusion
And discussion
It’s a science assignments

Answers

Answer:

Step-by-step explanation:

more hcl = less time.

error in table drawing or values not precise. more explanation needed in pic.

yes.                       more hcl = less time.

I need this answered real quick

Answers

Answer:

11x+60° =93

11x =93-60

x=33/11

x=3

z+93 = 180 (being angles in st. line)

z=180-93

z= 87

Answer:

x=3

z=87

Step-by-step explanation:

Using the vertical angles rule, we can set 11x+60=93, solve for x:

[tex]11x+60=93\\11x=33\\x=3[/tex]

Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:

[tex]180=93+z\\87=z[/tex]

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

Answers

Answer:

24

Step-by-step explanation:

Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]

Solving:

[tex]a^2+7^2=25^2[/tex]

[tex]a^2+49=625[/tex]

[tex]a^2=579[/tex]

[tex]\sqrt{a^2} = \sqrt{579}[/tex]

[tex]a=24[/tex]

Checking:

[tex]24^2+7^2=25^2[/tex]

Answer:

24

Step-by-step explanation:

Use the Pythagorean Theorem:

A^2 + B^2 = C^2

See the attached image.

21 - 25 . Alex is trying to balance his time in academics, chores and other activities. In order to do this, he decided to

1/3 divide his time according to the tasks he needs to do in a day. If Alex will spend of his day on sleeping, 1/12 1/8 1/4 * on studyingon household chores and for other activities like eating and taking a bath, how much time does he have left for leisure activities?

Answers

Why were the Jews victims of genocide during World War II?
Bankers for the previous corrupt German government had been mostly from Jewish families.
Many Germans believed that Jews had masterminded the Russian communist revolution.
Many believed that the Jews were planning to take control of the German parliament.
The German government was determined to eliminate all non-Christians from German soil.

At how many hours will blake earn the same amount in both jobs?

Answers

Answer: 6.15 you already solved it congrats

Step-by-step explanation:

you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay

Graph 1 on the numberline?

Answers

Answer:

directly before 5/4

Step-by-step explanation:

graph a straight vertical line directly before 5/4

or maybe it's just asking for where the value 1 should is and it's the same.

Answer:

It is the line to the left of 5/4

Step-by-step explanation:

it goes 5/4 then 4/4 or 1 then 3/4,  2/4, 1/4 then 0

The kite below is formed by four right triangles. If AB= 3, DE= 12, and AB = BC = DB, what is the area of the kite?

Answers

Answer:

50.46???

Step-by-step explanation: im bad at  this so if it help ima be proud nut uhhh i tryed ...

can somebody please tell me the awnser

Answers

Answer: 50ft I think

Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only

Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.

If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.

Now let's add all the sides together.

9 + 6 + 5 + 10 + 4 + 16 = 50

The perimeter of this shape is 50, if my geometry memory serves me correctly.

I hope this answers your question.

-Toremi

In parallelogram crhs, the measure of angle c is 48.Find the measure of angle h?

Answers

Answer:

48°

Step-by-step explanation:

we know that opposite angle of parallelogram is equal

so,

angel C is equal to opposite angle H

H = 48

angle C = 48°

angle R = 132°

angle H = 48° (opposite of angle C)

angle S = 132°(opposite of angle R)

Mark me Brainiest please

Please help it’s due soon

Answers

Answer:

D)  30

Step-by-step explanation:

AB is the diameter of the circle

AB = AE + EB

     = 25 + 9

     = 34

OB, OC and OD are all the radius of the circle.

Radius = half the diameter

Therefore, OB = OC = OD = 34 ÷ 2 = 17

ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE

OE = OB - 9

     = 17 - 9

     = 8

Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]

(where a is one of the congruent side lengths and h is the height)

[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]

[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]

[tex]\implies CD=30[/tex]

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