The answer would be x^4 -16
Explanation: use the FOIL method.
(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.
F- irst
O- uter
I- nner
L- ast
The answer should be 14.
You just have to substitute x with the given number and finish the equation.
Answer:
x= 3.096
Step-by-step explanation:
divide both sides by 5: 3^(x-1)= 10
then take the log to get log_3 (10) = x-1 = 2.096
x= 3.096
1. The winner threw the ball 175 ft, so what we want to do now is we convert (175) ft into yd.
We already know that 1ft= 1/3 yd, so the distance in yd is:
175 ft* (1/3 yd/ 1 ft) = 58 1/3 yd.
The answer is A. 58 1/3 yards.
2. 75 min* (4.5 miles/ 15 min)= 22.5 miles.
The correct answer is D. 22.5
3. Let's say that there are 4 weeks in a month. There are 5 weekdays in a week, so the number of weekdays in a month is:
5 weekdays/ 1 week* (4 weeks/ 1 month)= 20 weekdays/ 1 month.
Alex runs 5.9 miles/ 1 weekday, so the number of miles he runs every month is:
(5.9 miles/ 1 weekday)* (20 weekdays/ 1 month)= 118 miles/ month.
The nearest number to 118 is 120, so the answer is D.120 miles
4. 10 sweaters to 8 shirts:
10:8= 10/8= 5/4
The answer is B. 5/4
Hope this would help~
Answer:
Scale factor, K = -1/4
Step-by-step explanation:
Dilation of any image changes its size and the shape remains same.
The scale factor is the ratio of dilated image to original image.
Dilation rule: (x, y) → (kx, ky), where k is the scale factor.
It means k = x₂/x₁ or y₂/y₁
K = -5/20 = -1/4 or K = -4/16 = -1/4.
<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>
Hence the scale factor is K = -1/4.
