Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)
Answer:
Option 2.
Step-by-step explanation:
f(x) = - x^2 + 3
The parent function is x^2
- the '-' before the x^2 reflects it in the x-axis, and the + 3 shifts it up 3 units.
From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:
Now, since interior angles of any triangle add up to 180 degrees, we have

By combining similar terms, we get

Then, x is given as

Therefore, the answer is x=90 degrees
Answer:
8.4 inches
Step-by-step explanation:
To find the amount of inches, multiply the length by the percent. A percent is 40% but can also be written as a decimal conversion as 0.4. Then 40% of 60 inches is 0.4(60)= 24 inches.
However, she didn't use all 24 inches. She used 35%. This converts to 0.35 and then multiply for 0.35(24) = 8.4 inches.
She used 8.4 inches.
Eight out of ten as a fraction = 8/10, as a decimal = 0.8
☆ 〜(ゝ。∂)