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4 years ago

Find h(-9) for the function: h(x)= 1 + 7x

Mathematics

1 answer:

Anni [7]4 years ago

4 0

Answer:

-62

Step-by-step explanation:

= 1 + 7 (-9)

= 1 + (-63)

= 1 - 63

= - 62

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Brady made a scale drawing of a rectangular swimming pool on a coordinate grid. The points (-20, 25), (30, 25), (30, -10) and (-

djverab [1.8K]

Answer:

Length = 50 units

width = 35 units

Step-by-step explanation:

Let A, B, C and D be the corner of the pools.

Given:

The points of the corners are.

$A(x_{1}, y_{1}})=(-20, 25)$

$B(x_{2}, y_{2}})=(30, 25)$

$C(x_{3}, y_{3}})=(30, -10)$

$D(x_{4}, y_{4}})=(-20, -10)$

We need to find the dimension of the pools.

Solution:

Using distance formula of the two points.

$d(A,B)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ ----------(1)

For point AB

Substitute points A(30, 25) and B(30, 25) in above equation.

$AB=\sqrt{(30-(-20))^{2}+(25-25)^{2}}$

$AB=\sqrt{(30+20)^{2}}$

$AB=\sqrt{(50)^{2}$

AB = 50 units

Similarly for point BC

Substitute points B(-20, 25) and C(30, -10) in equation 1.

$d(B,C)=\sqrt{(x_{3}-x_{2})^{2}+(y_{3}-y_{2})^{2}}$

$BC=\sqrt{(30-30)^{2}+((-10)-25)^{2}}$

$BC=\sqrt{(-35)^{2}}$

BC = 35 units

Similarly for point DC

Substitute points D(-20, -10) and C(30, -10) in equation 1.

$d(D,C)=\sqrt{(x_{3}-x_{4})^{2}+(y_{3}-y_{4})^{2}}$

$DC=\sqrt{(30-(-20))^{2}+(-10-(-10))^{2}}$

$DC=\sqrt{(30+20)^{2}}$

$DC=\sqrt{(50)^{2}}$

DC = 50 units

Similarly for segment AD

Substitute points A(-20, 25) and D(-20, -10) in equation 1.

$d(A,D)=\sqrt{(x_{4}-x_{1})^{2}+(y_{4}-y_{1})^{2}}$

$AD=\sqrt{(-20-(-20))^{2}+(-10-25)^{2}}$

$AD=\sqrt{(-20+20)^{2}+(-35)^{2}}$

$AD=\sqrt{(-35)^{2}}$

AD = 35 units

Therefore, the dimension of the rectangular swimming pool are.

Length = 50 units

width = 35 units

7 0

3 years ago

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Vesna [10]

Answer:

39/80

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The St. Croix junior hockey

Alja [10]

Answer:

Step-by-step explanation:

56 divided by 4 is 14

7 0

3 years ago

Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now?

Colt1911 [192]

Answer:

Step-by-step explanation:

Present age of Barry = b

Present age of sister = s

Barry is 8 years older than his sister means if we subtract 8 from present age of Barry both will be of equal age

s=b-8 ............(1)

In 3 years means we have to add 3 in their present age

s+3=b+3

then

he will be twice as old as

2(s+3)=(b+3

2s+6=b+3

2s=b+3-6

2s=b-3...............(2)

Put the value of s from (1) to (2), we have

2(b-8)=b-3

2b-16=b-3

2b-b=-3+16

b=13

Put the value of b in (1)

s=13-8

s=5

Present age of Barry = b = 13

Present age of sister = s = 5

7 0

3 years ago

Points b,d, and f are midpoints of the sides of triangle ACE. EC=30 and DF= 17 find AC

Margaret [11]

Answer:

Your answer should be AC=2DF=34

Step-by-step explanation:

5 0

3 years ago