Answer:
If AB = CD then 5 • AB = 5 • CD
Step-by-step explanation:
The multiplication properly of equality states that if two items have the same value, then you could swap them out and the equation would stay the same.
Answer:
21°
Step-by-step explanation:
Since these are both equivalent right triangles, ∡RQY and ∡PQY are the same. So set them equal to each other.
16x-27=5x+6
x=3
Next plug x into ∡RQY
16(3)-27=21°
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
It is in the air 5.625 seconds.
Using the quadratic formula,
0 is when the ball is first launched, 5.625 is when it hits the ground again.
Answer:
-7/12 in decimal form it would be -0.583
Step-by-step explanation:
convert the mixed number to an improper fraction
(when there's a + in front of an expression in parentheses the expression remains the same)
15/4+(-4 1/3)
convert the mixed number to an improper fraction
15/4-13/3
subtract the fractions to get -7/12
