
<u><em>Step-by-step explanation:</em></u>
- Since the triangle is right use the tangent ratio to solve for x

- Multiply both sides by
x ×
( divide both sides by
)
x = ≈ ( nearest tenth )
Answer:
7
Step-by-step explanation:
The rate of change is defined as
f(x2) - f(x1)
--------------------
x2-x1
x2 = 6
f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8
x1 = 4
f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6
Substitute the values into the expression
8 - -6
--------------------
6-4
8+6
------------
2
14/2= 7
Answer:
600
Step-by-step explanation:
Answer:
75cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is the same as a rectangle. lw=A
First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
4y - 2x = 24 Add 2x to both sides
4y = 2x + 24 Divide both sides by 4
y = (1/2)x + 6
Now that we're in slope-intercept we can easily find the y and x intercepts/
b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!
Now we plug 0 in for y to find the x intercept:
0 = (1/2)x + 6 Subtract 6 from both sides
-6 = (1/2) x Multiply both sides by 2
-12 = x
The x intercept is -12
In Conlusion:
x-intercept = -12
y- intercept = 6