The points (-11, r) and (-7,5) lie on a line with slope
3
4
Find the missing coordinate r.

The Points (-11, R) And (-7,5) Lie On A Line With Slope34Find The Missing Coordinate R.

Answers

Answer 1

Answer:

r = 2

Step-by-step explanation:

Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)

m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )

5 - r = 3 ( subtract 5 from both sides )

- r = - 2 ( multiply both sides by - 1 )

r = 2


Related Questions

A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?

Answers

Answer:

x=5

Step-by-step explanation:

5+2=7

5+8=13

13*7=91

Answer: 5 ft

Step-by-step explanation:

Our equation can be (x + 8)(x + 2) = 91. Now we solve:

(x + 8)(x + 2) = 91

x^2 + 2x + 8x + 16 = 91    expand

x^2 + 10x + 16 = 91           simplify

x^2 + 10x - 75 = 0            subtract 91 from both sides

(x + 15)(x - 5) = 0               factor

x + 15 = 0              x - 5 = 0

x [tex]\neq \\[/tex] -15                    x = 5

x can't equal -15 because you cannot have negative feet, so x = 5 feet

8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?

Answers

Answer:

19.75. The apples cost 19.75 before the tax.

Step-by-step explanation:

0.97(x)=19.16

19.75

The fabric for Isabella’s new dress is sold by the yard. The pattern for the dress requires 8 feet of fabric. How many yards of fabric does Isabella need to purchase if 1 yard is equal to 3 feet?

1 third yard

2 2 over 3 yards



6 yards

24 yards

Answers

Answer:

2 2/3 yd

Step-by-step explanation:

Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?

8 ft x 1 yd/3 ft = 8/3 yd

As a mixed number:

8/3 = 2 2/3 yd of fabric

Me. Parsons wants to build a new banister for the staircase shown. If the rise of the stairs of a building is 5 feet and the run is 12 feet, what will be the length of the new banister?

I need this to be explained

Answers

This is the answer for your question hope it is help ful

In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.

Answers

Answer:

C

Step-by-step explanation:

I think

What's the largest eight-digit base 2 integer? Express your answer in base 10.

Answers

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp

Answers

The answer is D, 5/8

pls help i give brainliest and 5 stars​

Answers

Answer:

r = 9 m

Step-by-step explanation:

The volume of a sphere is defined as:

[tex]V = \frac43 \pi r^3\\[/tex]

if this is equal to 972π, then r³ = 972 * 3/4

so r = ∛729 = 9

Answer:

The radius of sphere is 9m.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

Let V = 972π,

[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]972 = \frac{4}{3} {r}^{3} [/tex]

[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]

[tex] {r}^{3} = 729[/tex]

[tex]r = \sqrt[3]{729} [/tex]

[tex]r = 9metres[/tex]

M is directly proportional to r3
When r = 4, M = 160
a) Work out the value of M when r = 2.​

Answers

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

6) Name all factors of x3 – 3x2 – 10x.


A. x

B. x + 5

C. x – 5

D. x + 2

E. x – 2

F. 2

G. 5

H. None of the above


its not on edg

Answers

Answer:

A. x

C. x – 5

D. x + 2

Step-by-step explanation:

From the question above, we are asked to find the factors of an algebraic expression that is given as:

x³ - 3x² - 10x

We would use the step of factorisation

Step 1

x(x² - 3x- 10)

The first factor of the algebraic expression has been obtained = x

Step 2

We factorise x² - 3x - 10

x² +2x - 5x - 10

(x²+2x) - (5x - 10)

x(x + 2) -5(x + 2)

(x + 2)(x - 5)

Step 3

x³ - 3x² - 10x

x(x² - 3x- 10)

(x)(x + 2)(x - 5)

Therefore, the factors of the algebraic expression are:

(x), (x + 2), (x - 5)

question 3 <><><><><><><><><><><>

Answers

Answer: C. none of the above

Step-by-step explanation:

Because you are dealing with a positive and a negative number here, the only way you would be able to get a positive number out of both would be if you squared both of the numbers in parentheses. (grab a calculator and try it if you have one)

(6)^2 and (-6)^2 both give you 36.

And, 6)^3 and (-6)^3 both give you 216.

But, because there are no parentheses in the equation, then the answers would be different, so the correct answer is none of the above.

Which expression is equivalent to 3x + 6y?

Answers

Answer:

3x+6y =0

-6y

3x=-6y

x=-2y

Step-by-step explanation:

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?

The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.

Answers

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:

RectangleSquarerhombus

A line of symmetry is a line that divides a shape such that they become mirror images of each other.

Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).

Learn more here: https://brainly.com/question/19670823

Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27

Answers

Answer:

D

Step-by-step explanation:

Took it on Ed but it might be different

Answer:

D

Step-by-step explanation:

I did the math :)

If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°

Answers

Answer:

B) 102°

Step-by-step explanation:

Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.

In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.

Please help me i dont understand this is 15 points

Answers

Answer:

2. y =13x + 143

Step-by-step explanation:

plug in numbers in your calculator; go to stat → edit,then again to stat → calculate →linear reg→ enter and get a and b, round the numbers

a = 13 , b = 143

Which is the graph of y=[x]-2?

Answers

It’s the last graph that shows y = [x] - 2

Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?

Answers

Answer:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:

b = 2.5 r

or

b = 5r/2

Step-by-step explanation:

In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:

Proportion = 45/18 = 2.5 or 5/2

Having this, you can make the equation taking into account the proportion:

b = 2.5 r

This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:

b = 2.5 r b = 2.5 (18) b = 45

How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.

Answer:

b = 2.5 r

or

b = 5r/2

PLEASE HELP ME! I BEG YOU! ILL EVEN GIVE BRAINLIEST!! HELP ASAP!!!

Answers

D because u have to look the fraction

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)

Answers

Answer:

-10x + y = 63

Step-by-step explanation:

Let's find the slope of this line.  Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10).  Thus, the slope, m, is m = rise / run = 10 / 1 = 10.

Using the point-slope version of the equation of a straight line, we get

y + 7 = 10(x + 7)

Performing the multiplication results in

y + 7 = 10x  + 70.

Rearranging these terms in the form Ax + By = C, we get:

-10x + y = 63

Check this by substituting -6 for x and 3 for y:

-10(-6) + 3 = 63     This is TRUE

How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three​

Answers

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)


Which statement about the temperatures in Tucson must be true?


About half of the days in December had average temperatures above 60 degrees.


About half of the days in December had average temperatures between 52 and 60 degrees.


The coldest day in December was 52 degrees.


The hottest day in December was 65 degrees.

Answers

Answer:

About half of the days in December has average tempetare between 52 and 60 degrees

(SEE THE ATTACHMENT)

Step-by-step explanation:

See the box-and-whisker plot.

Median = 58

1st quartile (which is the median of all value below 58) = 52

2nd quartile (which is the median of all value above 58) = 60

From 1st quartile to median = Almost quarter of the values

From median to 2nd quartile = Almost quarter of the values

From 1st quatile to 2nd quartile = Almost half of the values

So

1st statement is wrong

2nd statement is correct

3rd statement is wrong (Coldest day was 49 degrees)

4rth statement is wrong (Hottest day was 68 degrees)

Which took place in 1853?
O The US made the Gadsden Purchase.
The US received payment from Mexico for Texas.
Mexico won the Mexican-American War.
Mexico paid the US for the Mexican Cession.

Answers

The first choice is the correct answer.

Answer:

The answer is a

Step-by-step explanation:

I hoped i helped

f(x)=5x−3
f(5) = ???

Answers

Answer:

22

Step-by-step explanation:

5(5) -3

25-3

22

Answer:

the answer is 22.

Step-by-step explanation:

9x - 3y = -42 and -9x + 8y =22

Answers

Answer:

(-5 1/9, -4)

Step-by-step explanation:

Add the equations

5y=-20

y=-4

-9x+8(-4)=22

-9x-32=22

-9x=46

x= - 5 1/9

If f(x) = 5x, what is y(x)?

Answers

Answer:

Step-by-step explanation:

y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.

f(x) = 5x = y(x).

4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2

Answers

Answer:

8x^4 - 28x^3 + 4x^2.

Step-by-step explanation:

4x(2x^3 - 7x^2  + x)

= 4 * 2x^3 + 4x*-7x^2 + 4x*x

= 8x^4 - 28x^3 + 4x^2.

Answer:

8[tex]x^{4}[/tex]-28x³+4x²

Step-by-step explanation:

4x(2x³-7x²+x)=

8[tex]x^{4}[/tex]-28x³+4x²

2x³ × 4x = 8[tex]x^{4}[/tex]

7x² × 4x = 28x³

x × 4x = 4x²

What is the constant in 15-8y
A 15
B 8
C-8
D -15

Answers

Simplifying
15 + 8y = 15

Add '-15' to each side of the equation.
15 + -15 + 8y = 15 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = 15 + -15
8y = 15 + -15

Combine like terms: 15 + -15 = 0
8y = 0

Solving
8y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '8'.
y = 0

Simplifying
y = 0

please help me find the volume for this triangular prism

Answers

Answer:

140 yd³

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Ah ( A is the area of the triangular face and h is the depth )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

   = 0.5 × 5 × 8 = 20 yd² , thus

V = 20  × 7 = 140 yd³

Inside triangle ABC point O was drawn such that ∠OAB, ∠OBA, ∠OBC, and ∠OCA are all congruent. It is also true that ∠OAC and ∠OCB congruent. Find the angle measures in triangle ABC.

Answers

Answer:

m∠A = 60

m∠B = 60

m∠C = 60

Step-by-step explanation:

Please mark Branilest

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