Hello :
by : <span>an = an-1 + 9.
n= 2 : a2 =a1+9
a2 = -12+9 = -3
n=3 : a3 = a2 +9
a3 = -3+9 = 6
n = 4 : a4 = a3 +9
a4 =6+9 = 15</span>
(3x) •(8) =(8-1) •(5) multiply the numerator of the 1st fraction by the denominator of the second fraction.
Answer:
The slope = 2
Step-by-step explanation:
Slope is rise over run.
The line rises 2 units up for every 1 unit it moves right.
Thus, the slope would be 2/1, which is the same as 2.
Answer:
Monday 45
Tuesday 62
Step-by-step explanation:
It's asking you to find the common factor. 28 goes into both of these numbers. So do 1260÷28 and 1736÷28
Answer: 216 square units
====================================================
Explanation:
A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.
If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer
the side length 3 becomes 3*6 = 18
the side length 4 becomes 4*6 = 24
the side length 5 becomes 5*6 = 30
The new perimeter is 18+24+30 = 42+30 = 72
The last step is to find the area. The two legs of this triangle are the base and height
area = 0.5*base*height
area = 0.5*18*24
area = 9*24
area = 216
-----
Or you could find the area of the 3-4-5 right triangle to get
area = 0.5*base*height = 0.5*3*4 = 6
then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.
