Answer:
B. Only (-3,5)
Step-by-step explanation:
1. Plug in the x values from the answer choices and see if it gives you the y-value in the answer choices.
A. y=-3(-2) - 4
= 6 - 4
y = 2
The ordered pair for answer A is (-2,4) where the y-value is 4. Well, when you plugged in -2 for x you got 2, not 4. So A can't be the right answer.
B. y=-3(-3) - 4
= 9- 4
y = 5
The y-value in this ordered pair (-3,5) is indeed 5, so this answer holds true.
Therefore, the answer is B because it is the only ordered pair that has the correct solution.
Answer:
The length of legs lm, mn, and lk is 32 while that of kn is 36.
Step-by-step explanation:
The diagram is attached in the answer.
As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk
This leads the two set of legs such as
Or this could be written as
Now the remaining two sides are given as
as this form an isosceles triangle so
Similarly
Or
Now the perimeter is given as
Here perimeter is given as 132 so this gives:
So the four legs are of length as given below:
So the length of legs lm, mn, and lk is 32 while that of kn is 36.
Answer: 36 square units
Step-by-step explanation:
Divide the figure into 2 shapes: a rectangle and a triangle. Count the squares to find the dimensions of each figure. The rectangle has a width of 4 units and a length of 6 units. The triangle has a base of 6 units and a height of 4 units.
The formula for the area of a rectangle is length * width. The area of the rectangle is 4*6 = 24 square units.
The formula for the area of a triangle is (base * height)/2. The area of the triangle is (4*6)/2 = 24/2 = 12 square units.
Add the areas of both the rectangle and triangle. 24+12 = 36 square units.
Volume of cylinder = π.R².h , where R = radius and h = height
Let's replace h by 2h:
V₁= πR².(2h) → V₁ = 2π.R².h
Now let's double R, the radius (and keep h as h)
V₂ = π.(2R)².h → V₂ = 4.π.R².h
Compare V₁ to V₂→ (V₁ = 2π.R².h and V₂ = 4.π.R².h).
It's obvious that V₂ = 2.V₁
