Answer:
D; the slopes of the hypotenuse are the same
Step-by-step explanation:
the line represents the slope of both triangle, and since they are both on the same line, the slopes are the same
Answer:
Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.
A general exponential equation can be written as:
f(x) = A*(r)^x
Where A is the initial value, r is the rate of growth, and x is our variable.
If r > 1, the function represents a growth.
if 0 < r < 1, the function represents a decay.
1) f(x) = 3^x
Here we have r = 3
This is clearly larger than 1, then this function represents a growth.
2) f(x) = (0.25)^x
Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.
3) f(x) = (2/3)^x
here we have r = 2/3 = 0.66
This is larger than zero and smaller than 1, then this function represents a decay.
4) f(x) = (3/2)^x
Here we have r = 3/2 = 1.5
This is larger than 1, then this function represents a growth,
Answer:
B. (x+64)(x-64)
Step-by-step explanation:
x²- 64 = (x) ² - (8) ² =
(x+64)(x-64)
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
Answer:
15 divided by 2 1/2
Step-by-step explanation:
$6 per yard.
