Answer:
-2
Assumption:
Find the value of x such that
.
Step-by-step explanation:



Combine like terms:

This is not too bad too factor on the left hand side since 2(2)=4 and 2+2=4.


So we need to solve:

Subtract 2 on both sides:

Let's check:






0 was the desired output of
.
Y = x^2 + 10x - 171
y = (x - 9)(x + 19)
x - 9= 0 x + 19 = 0
x = 9 x = -19
Answer B covers all requirements... the factored form is
y= (x + 19)(x - 9)
and the zeros are -19 and 9
Answer:
14-1=13 range= 13
Step-by-step explanation:
The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem

we have

substitute

-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem

we have

substitute


----> equation B
equate equation A and equation B

solve for x

Simplify

<em>Find the length of DC</em>

substitute the given values

