All of the numbers in the shaded part of the line have two characteristics:
==> X >= 0
==> X <= 20
This can be written as a single inequality with x in the middle, but when I type it, Brainly won't accept the characters, and says there's an error.
Here it is in words:
0 (less than or equal to) x (less than or equal to) 20 .
The answer is <span>(-1, -6)
</span>
Let's go through all choices:
1. (x, y) = (-10, 17)
x + y = 7
-10 + 17 = 7
17 - 10 = 7
7 = 7
So, these points lie on the line.
2. (x, y) = (<span>13/3, 8/3)
</span>x + y = 7<span>
13/3 + 8/3 = 7
(13 + 8)/3 = 7
21/3 = 7
7 = 7
</span>So, these points lie on the line, too.
3. (x, y) = <span>(-1, -6)
</span>x + y = 7
-1 + (-6) = 7
-1 - 6 = 7
-7 ≠ 7
So, these points DO NOT lie on the line.
Answer:
a = -8
Step-by-step explanation:
19 = -3a - 5
Add 5 to both sides.
24 = -3a
Divide both sides by -3.
-8 = a
Switch sides.
a = -8
Answer: 16p^8q^4r^8 The yellow one
Step-by-step explanation:
Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2
Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2
Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2
Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one
The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
(20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches.
