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gregori [183]
3 years ago
12

Identify the graphed linear equation.​

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

The linear equation of the graphed line:

  • y = 7/2x - 3.5

Step-by-step explanation:

Given the points from the graph

  • (1, 0)
  • (3, 7)

Finding the slope between the points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(3,\:7\right)

m=\frac{7-0}{3-1}

m=\frac{7}{2}

We know the slope-intercept form of the line equation

y=mx+b

Where m is the slope and b is the y-intercept

substituting m = 7/2 and the point (1, 0) to find the y-intercept 'b'

y=mx+b

0 = 7/2(1) + b

0 = 7/2 + b

b = -7/2

b = -3.5

Thus, y-intercept 'b' = -3.5

substituting m = 7/2 and the y-intercept 'b' = -3.5 in the slope-intercept form

y=mx+b

y=7/2x + (-3.5)

y = 7/2x - 3.5

Thus, the linear equation of the graphed line:

  • y = 7/2x - 3.5
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PLEASE HELP
miss Akunina [59]

In the smallest of the three triangles (with sides a,b,3) we have

a^2+3^2=b^2

In the second-largest triangle (with sides a,108), the length of the missing side is \sqrt{a^2+108^2}. Then in the largest triangle (with sides b,111,\sqrt{a^2+108^2}), we have

b^2+\left(\sqrt{a^2+108^2}\right)^2=(108+3)^2=111^2

\implies b^2+a^2+108^2=111^2

\implies b^2+a^2=657

Equivalently, we have

(a^2+9)+a^2=657\implies 2a^2=648\implies a^2=324\implies a=18

In turn, we find

b^2=18^2+3^2=298\implies b=\sqrt{333}=3\sqrt{37}

6 0
3 years ago
Round 86,124 to the nearest ten thousand
kirill [66]
When rounding any number anything greater than 5 you go up and anything less than 5 you round down.
nearest ones 86120 ( 4 is lower than 5 you go down)
nearest tens 86100 ( 2 islower than 5 you go down)
nearest hundreds 86000( 1 is lower than 5 you go down)
nearest thousands 87000 ( 6 higher than 5 you go up)
nearest ten thousands 90000 ( 8 is higher than 5 you go up)
7 0
4 years ago
100 is what percent of 250?
alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 250, so we can write it down as 100%=250.  

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.  

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x       - we multiply both sides of the equation by x

100=2.5*x       - we divide both sides of the equation by (2.5) to get x

100/2.5=x  

40=x  

x=40

now we have:  

100 is 40% of 250

6 0
3 years ago
Read 2 more answers
Anyone knows the answer
vesna_86 [32]

Answer:

it might be 390

Step-by-step explanation:

hope this helps

7 0
3 years ago
A half of a number added to 7 gives 19. What is the number? *
creativ13 [48]

Answer:

24

Step-by-step explanation:

---------------

24÷2=12

12+7=19

---------------

8 0
3 years ago
Read 2 more answers
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