0.3333333333333333333 ect.
10) (9,-3); m=2
(a) y=2x-11
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21.
FINAL ANSWER::y=2x-21
(b) y=2x-21
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21
FINAL ANSWER::y=2x-21
Or equivalent to the original.
Hope this helps you solve the rest. ;)
Answer:
66
Step-by-step explanation:
Find the area of the rectangle, then add up the area of the triangle.
The area of the rectangle
= 5 × 12
= 60 cm²
The <u>base</u> of the triangle
= 12 - 9
= 3 cm
The <u>height</u> of the triangle
= 9 - 5
= 4 cm
The area of the triangle
= (3 × 4) ÷ 2
= 6 cm²
The total area of the figure
= 60 + 6
= <u>66 cm²</u>
To calculate the value of x, you can apply:
Tan(α)=Opposite leg/Adjacent leg
In this case, the opposite leg is "x", and the adjacent leg is 15. The angle α is 30° (α=30°)
When we substitute this values, we obtain:
Tan(α)=Opposite leg/Adjacent leg
Tan(30°)=x/15
x=(15)(Tan(30°))
x=5√3
<span>What is the value of x?
</span>
The answer is: The value of x is 5√3
