Answer:
y = x + 4
Step-by-step explanation:
AB is a base of trapezoid.
In trapezoid , one pair of sides are parallel.
In given trapezoid , CD is parallel to AB.
When two lines are parallel then, slopes of lines are equal.
Therefore , slope of CD=1
The equation of line with slope 1 and passing through the point C (4,8) is given by Substitute the values then we get
The equation of line with slope 1 and passing through the point C (4,8) is given by
The equation of line with slope 1 and passing through the point C (4,8) is given by
Answer:
−4<x<−2
Step-by-step explanation:
8 > 4 − x > 6
8 > −x + 4 > 6
8 + −4 > −x + 4 + −4 > 6 + −4
4 > −x > 2
Since x is negative we need to divide everything by -1 which gives us...
−4 < x < −2
Answer:
Option 4
Step-by-step explanation:
Given:
Sinθ =
Since, cos2θ = 1 - 2sin²θ
cos2θ =
cos2θ = 1 -
cos2θ =
cos2θ =
Therefore, Option 4 will be the answer.
The linear equation for his balance over time is given by:
y = 20x + 100.
- The x-intercept is of 20, which is the amount by which the balance increases each week.
- The y-intercept is of 100, which is the initial balance.
<h3>What is a linear function?</h3>
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, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:
y = 20x + 100.
Hence:
- The x-intercept is of 20, which is the amount by which the balance increases each week.
- The y-intercept is of 100, which is the initial balance.
More can be learned about linear functions at brainly.com/question/24808124
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