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3 years ago

13

Look at this graph: What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

2 answers:

Simora [160]3 years ago

7 0

The slope is 3/2 because it rises 3 and goes over 2

yaroslaw [1]3 years ago

5 0

Answer:

30

Step-by-step explanation:

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Divide 9x^2 by 18y^2

Neporo4naja [7]

Step-by-step explanation:

√9x2√18y2. √9=3. √x2=x. √18=√9×2=3√2. √y2=y. Therefore √9x2√18y2=3x3√2y = x√2y.

3 0

3 years ago

Read 2 more answers

One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

so

Step $1$

<u>Find the length sides of the triangle</u>

a) <u>Find the distance AB</u>

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

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) <u>Find the distance AC</u>

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

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) <u>Find the distance BC</u>

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

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

<u>Find the perimeter of the triangle</u>

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

<u>Find the half of the perimeter </u>

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

<u>Find the area of the triangle</u>

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

$=-\frac{1}{4}+\frac{3}{2}$

$=-\frac{1}{4}+1+\frac{1}{2}$

$=1+\frac{1}{4}$

$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

5 0

3 years ago

Mr dambek had $90 to spend at the bulls game he spent 31/45 on his ticket the. He spent 3/7 of his remaining money at the conces

slavikrds [6]

Answer:

He does not have enough money to buy the hat.

Step-by-step explanation:

First find out how much he spent on the ticket:

$90 \times {31 \over 45}=2 \times 31=62$

He spent $62 on the ticket, so he has $90 - $62 = $28 remaining. Now find out how much of that he spent at the concession stand:

$28 \times {3 \over 7}=4 \times 3=12$

He spent $12 at the concession stand, so he has $28 - $12 = $16 remaining. He does not have enough to buy the $18 hat.

6 0

3 years ago

What is the answer to these questions---

shutvik [7]

1. w= 52
2. x= 5
3. n=1.4
4. x= -28/9 or x=-3.1

5 0

3 years ago