Answer:
y = .25x + 2.5
Step-by-step explanation:
First find the slope which is m in y = mx + b. y = mx + b is the standard form for a line.
m = (y₂-y₁)/(x₂-x₁)
m = (3-1)/(2+6)
m = 2/8
m = 1/4
Plug that in.
y = 1/4x + b
To find b plug in one of the two points and solve.
3 = 1/4(2) + b
3 = 1/2 + b
3 - 1/2 = 1/2 - 1/2 + b
2.5 = b
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
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-3(2r+7)=3
distribute -3
-6r-21=3
add 21 to both sides, this causes the 21 on the left to cancel itself out.
-6r=24
divide each side by -6, this causes the -6 on the left side to cancel itself out.
r=-4
Answer:
20m, 20m,20 m and 22m = 82 m 4x+2=82
Step-by-step explanation:
equation 4x +2 =82
x +x+x+(x+2) =82
4x+2=82
4x=80
x=20
Answer:
Step-by-step explanation:
We have
this equals to
now we try to agrupate to have exponent of 2 that we can cancel
we can take out the ones with exponent from the root
