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White raven [17]

2 years ago

5

System of linear equation for graph below

1 answer:

Andrej [43]2 years ago

5 0

Answer: See below

Step-by-step explanation:

For the line on top, we know the slope is negative because it is going down. We can find the slope by counting how much the point goes down and to the right. Y-intercept is the point on the y-axis.

slope: -3

y-intercept: 2

Now that we have the slope and y-intercept, we know the equation is y=-3x+2.

For the second line, we know the slope is positive because it is going up. Since slope is rise/run, we can see it rises 1 unit and runs to the right by 2 units. Y-intercept is the point on the y-axis.

slope: 1/2

y-intercept: -5

With our slope and y-intercept, we know our equation.

y=1/2x-5

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Aron rides his bike 12 miles in 3 hours. if he rides at a constant speed, select the answers below that are equivalent ratios to

timurjin [86]

Answer:

A

Step-by-step explanation:

he is riding at a rate of 4 in one and the others do not match 4 in 1

Hope this helps

3 0

3 years ago

Read 2 more answers

Two step equations <br> 6=a/4+2

anygoal [31]

6=a/4+2
4=a/4
4*4=a
16=a

6 0

3 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Which one is greater??

Andrew [12]

224.9>224.92 hope it helps

8 0

2 years ago

By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?

lbvjy [14]

Answer:

18miles per day

Step-by-step explanation:

Just do 108/6

4 0

2 years ago