2 years ago

Line g passes through points (1, 1) and (10,9). Line h is perpendicular to g. What is the

Mathematics

1 answer:

shusha [124]2 years ago

5 0

Answer:

-9/8

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

using (1,1) and (10,9)

m = (9 - 1)/(10 - 1)

m = (8)/(9)

m = 8/9

slope of line g is 8/9

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of h is -9/8

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dimulka [17.4K]

Answer:

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3 0

3 years ago

Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m

MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn): <u>x = 8 m</u></h3><h3> The lenght (side parallel to the barn): <u>y = 16 m</u> </h3>

Step-by-step explanation:

x - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing: A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x ← quadratic function

The maximum value of quadratic function occurs at: $x=-\frac b{2a}$

a = -2, b = 32

$x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8$

32-2x = 32 - 2•8 = 16

4 0

2 years ago

Which unit is part of the SI system?

Orlov [11]

Gallon should be correct

7 0

3 years ago

Listen

disa [49]

Answer:

A 29 is the answer to the problem

5 0

2 years ago

$75 lunch; 18% tip what is the total

Ghella [55]

Answer:

88.5

Step-by-step explanation:

75 x .18

tip= 13.5

75 + 13.5 = 88.5

8 0

2 years ago