(-3y^2 − 8) − (-5y^2<span> + 1)
= </span>-3y^2 − 8 + 5y^2<span> - 1
= 2</span>y^2 <span>- 9
answer is
</span>2y^2 - 9<span>
</span>
Distribute the -2 to get
-16x + 8 < 2x + 5
3 < 18x
1/6 < x
so x > 1/6
Answer:
<span>The measure of angle SUT is equal to 90 degrees
</span>
Explanation:
The Pythagorean theorem states that:
"In any right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"
In other words:
(hypotenuse)² = (first side)² + (second side)²
Now, for the given, we have:
u² = s² + t²
This means that the given triangle UST is a right-angled triangle and that side "u" is its hypotenuse.
According to the given, the angle opposite to side "u" is angle U. This means that angle U is the right-angle in this triangle.
Based on the above:
angle U = 90°
angle S + angle T = 180 - 90 = 90°
Now, comparing our deductions to the given choices, we can conclude that the correct choice is:
The measure of angle SUT is equal to 90 degrees
Hope this helps :)
Answer:
480 people were unemployed full time
Step-by-step explanation:
First thing to do here is to check the percentage of people that were unemployed full time
Looking at the graph, this is equal to 60%
This means that 60% of the total 800 are unemployed full time
Mathematically, that would be 60/100 * 800 = 480 people
