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Arada [10]
3 years ago
8

Write the equation of the line in slope-intercept form that has a slope of -5/2 and passes through the point (14,-39)

Mathematics
1 answer:
bonufazy [111]3 years ago
4 0

Answer:

Step-by-step explanation:

The equation of the line in point-slope form;

y+39 = (-5/2)(x-14)

Rearrange to solve for y:

y+39 = (-5/2)x + 35

y = (-5/2)x + 4

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Which angles are corresponding angles with angle 8
Bumek [7]

Step-by-step explanation:

<h2><4 and <12 </h2>

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7 0
3 years ago
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Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer
Otrada [13]

Let 2n+1 be the smaller integer. The larger integer is then 2n+3, and we have

(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13

\implies4n^2+2n-12=0

\implies2n^2+n-6=0

\implies(2n-3)(n+2)=0

\implies 2n-3=0\text{ or }n+2=0

\implies n=\dfrac32\text{ or }n=-2

We omit n=-2, since 2(-2)+1=-3 is negative.

Then for n=\dfrac32 we find 2\left(\dfrac32\right)+1=4, but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0
3 years ago
Unit cube:
Nutka1998 [239]

Answer:

12 unit cubes

Step-by-step explanation:

There are 4 unit cubes on each layer, and there are 3 layers as you can see. So 4 × 3 would equal 12.

8 0
3 years ago
Tiana is on a 25-foot ladder that is leaning against her house. Its base is 7 feet from the base of the house. The ladder slips
Lostsunrise [7]

Answer:

4 ft downwards

Step-by-step explanation:

old height off the ground :

7^2+b^2=25^2

49+b^2=625

b^2=576

b=24

new height off the ground :

7+8=15

15^2+ b^2 =25^2

225+b^2 = 625

b^2 = 400

b=20

difference between heights :

24 - 20 =  4

4 0
3 years ago
The Kellogg Company periodically compares sales across departments. In one particular instance, they would like to determine if
alex41 [277]

Answer:

H₀: μs = μf

H₁: μs ≠ μf

Step-by-step explanation:

Hello!

If the company wants to compare the sales of both departments "snacks" and "frozen foods" to see if there is any difference, the best is to compare the average number of sales of them.

Then the parameters of interest will be:

μs= average number of sales of the "snacks" department.

μf= average number of sales of the "frozen food" department.

The objective is to test if there is any difference between both departments, then the hypothesis should be two-tailed:

H₀: μs = μf

H₁: μs ≠ μf

I hope it helps!

7 0
3 years ago
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