Please help! will give 14 points and brainliest!
1 answer:
Answer:
EF = 22 , AB = 1
Step-by-step explanation:
the midsegment of a trapezoid is equal to half the sum of the parallel bases
EF = (AB + DC ) ← substitute values
x + 6 = (2x - 9 + x + 5) ← multiply both sides by 2 to clear the fraction
2x + 12 = 3x - 4 ( subtract 3x from both sides )
- x + 12 = - 4 ( subtract 12 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
Then
EF = x + 6 = 16 + 6 = 22
Similarly
EF = (AB + DC ) , that is
x + 3 = (4x - 3 + 2x + 5 ) ← multiply both sides by 2 to clear the fraction
2x + 6 = 6x + 2 ( subtract 6x from both sides )
- 4x + 6 = 2 ( subtract 6 from both sides )
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Then
AB = 4x - 3 = 4(1) - 3 = 4 - 3 = 1
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Step-by-step explanation:
Hopefully the picture helps in the future. Mark me the brainliest:)!!!!
The linear equation of the tangent at point A is given by:
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:
Then:
We use point (4,3) to find b, hence:
Hence, the equation is:
More can be learned about linear equations at brainly.com/question/24808124
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