Answer:
Step-by-step explanation:
The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:
and
and
so
x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:
and
and
so
x = 46.6 feet
Answer:
6 times
Step-by-step explanation:
Let the number of times you visit the pool = x
At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.
= $24 + $1× x
= 24 + x
If you do not purchase the membership the pool admission is 5 dollars.
= 5 × x
= 5x
Hence:
24 + x = 5x
Collect like terms
24 = 5x - x
4x = 24
x = 24/4
x = 6 times
The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.
Apply the distributive property.<span>6⋅1+6<span>(−5m<span>)
</span></span></span>Multiply <span>66</span> by <span>11</span> to get <span>66</span>.<span><span>6+6<span>(−5m)</span></span><span>6+6<span>(-5m)</span></span></span>Multiply <span><span>−5</span><span>-5</span></span> by <span>66</span> to get <span><span>−30</span><span>-30</span></span>.<span><span>6−30m</span><span>6-30m</span></span>Reorder <span>66</span> and <span><span>−30m</span><span>-30m</span></span>.<span>−30m+<span>6
So your answer is </span></span>−30m+6
Answer:
Step-by-step explanation:
<u>Given function</u>
<u>To find</u>
<u>Solution</u>
Substitute x with 3 in the equation to find f(3)
- f(3) = -4(3+3) = -4*6 = -24
