Answer:

Step-by-step explanation:
y = -3x + 9 ⇌ 3x = 9 - y ⇌ x = -y/3 + 9/3 ⇌ x = -y/3 + 3
Answer:
Part (A) → x = 5
Part (B) → m(arc RS) = 55°
Step-by-step explanation:
In the picture attached,
RU and SV are the diameters of the given circle.
Part (A),
Since RU is the diameter,
m(arc RVU) = 180°
m(arc RV) + m(arc VU) = 180°
(24x + 5) + (10x + 5) = 180
34x + 10 = 180
34x = 170
x = 
x = 5
Part (B),
Since m(arc RS) = m(arc VU) [Angles intercepted by these arcs at the center are equal because they are the vertical angles]
m(arc RS) = (10x + 5)
= (10×5 + 5)
= 55°
Answer:
see the attached figure.
Step-by-step explanation:
We need to draw a trapezoid with a right angle and an area greater than 40 square inches
See the attached figure
The area of the trapezoid = 0.5 ( base_1 + base_2 ) * height
So, as shown ABCD is a trapezoid with a right angle at A
base_1 = 14 inches , base_2 = 10 inches and the height = 5 inches
So, the area = 0.5 ( 14 + 10 ) * 5 = 0.5 * 24 * 5 = 60 square inches > 40
Note: we can use any numbers other than 5 , 10 , 14
for example: 5 , 8 , 12 in this case the area = 0.5 * (8+12) * 5 = 50 > 40
<u>The point is choose any numbers which gives area > 40</u>
I will give you the answer and you can comment if you have questions! Benjamin Franklin was 70 years old!
Hello there!
6(y + 1)
Use the distributive property
(6)(y) + (6)(1)
= 6y + 6
Thus,
6y + 6 is the expression that is equivalent to 6(y + 1)
As always, it is my pleasure to help students like you.