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2 years ago

A straight line passes through A (-2, 0) and B (2,-k). The line is

Mathematics

1 answer:

gtnhenbr [62]2 years ago

3 0

Answer:

Step-by-step explanation:

Let the slope of the first line be m1

Let the slope of the second line be m2

If both lines are perpendicular, then;

m1m2 = -1

Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).

m1 = y2-y1/x2-x1

m1 = -k-0/2-(-2)

m1 = -k/4

Get the slope of the line 3y + 2x = 5

Rewrite the equation;

3y = -2x + 5

y = -2/3 x + 5/3

Hence the slope of the line m2 is -2/3

Since m1m2 = -1, then;

-k/4(-2/3) = -1

2k/12 = -1

k/6 = -1

k = -6

Hence the value of k is -6

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Find the area of the composite figure

Pavlova-9 [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Two sides of a triangle are given as 28 inches and 42 inches. find all possible lengths for the third side of the triangle

timofeeve [1]

The longest side of a triangle must be less than the sum of the other 2 sides

2 senarios

the 3rd side is the longest
the 3rd side is not the longest

for the 3rd side is the longest

3rdside<28+42
3rdside<70

for 3rd side isn't the longest
42 is longest
42<28+3rdside
14<3rdside

so we've got
3rdside<70 and 14<3rdside

so
14<3rdside<70

the 3rd side can be any number from 14in to 70in except 14in and 70in

6 0

2 years ago

Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta

LUCKY_DIMON [66]

The expression (-4x + 9)^2 cannot be equal to (-4x)^2 + 9^2 because it is actually equal to the product of two factors (3 + 2sqrt x) (3- 2 sqrt x). One cannot use obviously distributive property. Hence the answer to this problem should be C. as she did not understand both perfect square trinomial and did not determine the product

4 0

2 years ago

Read 2 more answers

in 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate sch

eduard

Answer:

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 303, \sigma = 13$

What is the minimum score needed to be considered for admission to Stanfords graduate school?

Top 2.5%.

So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96

$Z = \frac{X - \mu}{\sigma}$

$1.96 = \frac{X - 303}{13}$

$X - 303 = 13*1.96$

$X = 328.48$

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

3 0

3 years ago

For babysitting, Angie charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitti

Ghella [55]

Answer:

C=5h+3 when h=5

C=28

Step-by-step explanation:

She charges $5 per hour (5h)

and a flat fee of $3 (+3).

Replace the h (the number of hours babysitting) with 5 (the amount of hours you want to find for).

Then you multiple 5 and 5, then add 3.

Which gives you an answer of $28.

Hope this helped!

7 0

3 years ago