Answer:

Step-by-step explanation:
<h3>Exponent rule:</h3>
In exponent multiplication, if bases are same, add the exponents.



Answer:
The difference is 8.56 cm. ( the metre is longer than the yard).
Step-by-step explanation:
1 yard = 36 inches
= 36 * 2.54
= 91.44 cm
1 metre = 100 cm.
9514 1404 393
Answer:
x = -2
Step-by-step explanation:
Line q is the horizontal line y = 6, so the perpendicular line will be vertical. In order for it to go through the point (-2, 3), the equation must be ...
x = -2
Answer: 114.37 ft
Step-by-step explanation:
If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (
), the opposite leg is the height the ladder will reach
, and the adjacent leg is the distance between the base of the ladder and the building (
); we have two options:
1) Using trigonometric functions, since we are given the angle 
2) Using the Pithagorean Theorem
Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:


Isolating
:

Adding to this height the extra height of
(since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):
This is the height the ladder will reach