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4 years ago

Name the coordinate of P(-5, 8) under a translation along the (x+2, y -1)

1 answer:

5 0

(-3, 7)

Explanation: the point (-5,8) moves to the left (x axis) 2 points and down (y axis) 1 point. Thus -5 + 2 = -3 and 8 - 1 = 7, so the answer is (-3, 7)

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

8 0

3 years ago

If f(x) = 4x ^ 2 - 3 and g(x) = x + 1 , find (f - g)(x) O A. 4x ^ 2 - x - 2 B. x - 4x ^ 2 - 2 O C. 4x ^ 3 - 3 O D. 4x ^ 2 - x -

Yuliya22 [10]

Answer:

Step-by-step explanation:

If f(x) = 4x ^ 2 - 3 and g(x) = x + 1 , find (f - g)(x)

A. 4x ^ 2 - x - 2

B. x - 4x ^ 2 - 2

C. 4x ^ 3 - 3

D. 4x ^ 2 - x - 4

(f - g)(x) = f(x) - g(x)

4x ^ 2 - 3 - (x + 1 ) Multiply the brackets by the negative.

4x ^ 2 - 3 -x - 1 Add like terms.

4x ^ 2 - x - 4 Final Answer

5 0

3 years ago

Help please middle school question will give brainlist

matrenka [14]

Answer:

-11, -6, 0, 3, 9, 10

Step-by-step explanation:

I don't really know how to explain but that is correct

4 0

2 years ago

Read 2 more answers

Date

ololo11 [35]

Answer: 22%, 0.22, 11/50

Step-by-step explanation:

As a percent, 44/200 × 100 =

0.22 × 100

= 22%

As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22

As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11

Divide 4 by denominator = 50

44/200 as a fraction = 11/50

5 0

3 years ago

Debra has two scarves. One is square and each side is 32 inches long. The other is rectangular and is 48 inches long and 20 inch

nika2105 [10]

Answer:

the statement that says each side s 32 inches long has a greater area than 48 inches long and 20 inches wide

Step-by-step explanation:

6 0

3 years ago