Simplify. Combine like terms
12x - 9x = 3x
7 - 15 = -8
3x - 8 is your answer
hope this helps
Answer:
5i
Step-by-step explanation:
Using the rule of radicals
× ⇔
and = i
Given
=
= × ×
= 5 × × i
= 5i
Answer: or
Step-by-step explanation:
We can convert from mixed numbers to decimal numbers:
Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:
We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.
Then:
or
For the red line, we have:
gradient (
) = 1/3
y-intercept = 3
Equation of straight line is given by
, where
is the gradient and
is where the line intercept the y-axis
So we have,
The shaded part is above the line, hence the first inequality is
The black line, we have
gradient,
= 3
y-intercept = -2
, rearranging gives
The shaded region is to the right of the line, hence the inequality is
Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>
Let the length of the diameter be d and radius be r, thus to solve for d we proceed as follows:
r²+31²=(r+15)²
solving for d we solve for r
r²+961=r²+30r+225
putting like terms together we obtain:
r²-r²+961-225=30r
736=30r
solving for r
r=24.53
thus
d=24.5333×2
d=49.067~49.1
Answer is D. 49.1