Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- ![\sqrt{2x^2+2x+1](https://tex.z-dn.net/?f=%5Csqrt%7B2x%5E2%2B2x%2B1)
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is
![\sqrt{2x^2+2x+1}](https://tex.z-dn.net/?f=%5Csqrt%7B2x%5E2%2B2x%2B1%7D)
By simple substitution on the left side and on the right side of the given equation, we have to
For <span>coordinates (-3,-9)
-9</span><span>=−8|-3+3|−9
-9</span><span>=−8|0|−9
</span> -9=−9
Therefore, it is demonstrated that<span> the coordinates of the vertex is
(-3,-9)</span>
i dont have much time to go through all the work but i can tell you that since its a 90 degree angle, your equation would be 90=15x-2+7x+4. Once you get the value of X plug that into each of the equations. For example if your x value was 2 you would do 15(2)-2. Thats just an example.
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
Answer:
6 days <u>Please at least say thanks and leave a good review</u>
Step-by-step explanation:
1500 per week works 4 weeks
maximum would be 6000
if she is late 6 days she loses 900 dollars and would be left with 5100
if she is late 7 days she loses 1050 and would be left with 4950 so she can be late no more than 6 days