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3 years ago

Evaluate each function. h(a)= |-3a|; Find h(-9)

Mathematics

1 answer:

pashok25 [27]3 years ago

5 0

Answer:

h(-9)=27

Step-by-step explanation:

find the absolute value of |-3(-9)|, simplifies to |27|, which is just 27. hope it helps

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Jim adds 20 to it, then doubles it and gets an answer of 99.2. What was the original number?

riadik2000 [5.3K]

(n+20)*2 = 99.2

distribute

2n + 40 = 99.2

subtract 40 from each side

2n = 59.2

divide each side by 2

n = 29.6

7 0

3 years ago

What is the perimeter of triangle ABC ? 11 units 14 units 16 units 20 units Coordinate graph showing triangle A B C. Triangle A

professor190 [17]

Answer:

The perimeter is equal to $16\ units$

Step-by-step explanation:

we have that

$A(-1,1),B(2,5),C(5,1)$

The perimeter of triangle ABC is equal to

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$A(-1,1),B(2,5)$

$AB=\sqrt{(5-1)^{2}+(2+1)^{2}}$

$AB=\sqrt{(4)^{2}+(3)^{2}}$

$AB=\sqrt{25}$

$AB=5\ units$

step 2

Find the distance BC

$B(2,5),C(5,1)$

$BC=\sqrt{(1-5)^{2}+(5-2)^{2}}$

$BC=\sqrt{(-4)^{2}+(3)^{2}}$

$BC=\sqrt{25}$

$BC=5\ units$

step 3

Find the distance AC

$A(-1,1),C(5,1)$

$AC=\sqrt{(1-1)^{2}+(5+1)^{2}}$

$AC=\sqrt{(0)^{2}+(6)^{2}}$

$AC=\sqrt{36}$

$AC=6\ units$

step 4

Find the perimeter

$P=5+5+6=16\ units$

4 0

4 years ago

Read 2 more answers

What type of line is the graph of x = −2?

DaniilM [7]

The type of the line is horizontal.

5 0

3 years ago

Miguel needs 4 gallons of milk to make 12 milkshakes. How much milk does he need to

horrorfan [7]

Answer:

see the procedure

Step-by-step explanation:

Part 1) using proportion

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

Using proportion

Find out how much milk he needs to make 30 milkshakes

Let

x ----> gallons of milk needed

$\frac{4}{12}\frac{gal}{milkshakes}=\frac{x}{30}\frac{gal}{milkshakes}\\\\x=30(4)/12\\\\x=10\ gal$

Miguel needs 10 gallons of milk to make 30 milkshakes

Part 2) we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

This problem represent a proportional relationship

Let

x ----> the number of gallons of milk

y ----> the number of milkshakes

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

For x=4, y=12

Find out the constant of proportionality k

$k=y/x$

substitute the values

$k=12/4=3\ milkshakes/gallon$

The linear equation is equal to

$y=3x$

For y=30

substitute in the equation and solve for x

$30=3x$

Divide by 3 both sides

$x=10\ gal$

6 0

3 years ago

Read 2 more answers

Hãy giải phương trình bậc nhất 7-2x=22-3x

Step2247 [10]

Answer:

7-2x=22-3x

-2x=15-3x (minus 7 from both side)

x=15 ( plus 3x from both side)

3 0

3 years ago

Read 2 more answers