Answer:
<em>x = 9; Option C</em>
Step-by-step explanation:
If p ║q, we are provided with the following properties;
Same Side Interior / Exterior ∠s ⇒ supplementary,
Alternate Interior / Exterior ∠s ⇒ ≅,
Corresponding ∠s ⇒ ≅
If we are focusing on the measure of two alternate interior angles, say a and b, we can assign them as such;
a ⇒ 9x + 8, and b ⇒ 15x - 46
m∠ a = m∠ b ⇒ provided they are alternate interior ∠s,
9x + 8 = 15x - 46 ⇒ Add 46 on either side of equation,
9x + 54 = 15x ⇒ Subtract 9x from either side,
54 = 6x ⇒ Divide either side by 6,
<em>Solution; x = 9</em>
Answer: 39
Step-by-step explanation: you have to plug in -4 into each x so that would be f(-4)=2(-4)(2)+7(-4)(3)-8(-4)(2)-21(-4)+7= 39
Answer:
64 = (x+7)^2 + (y-5)^2
Step-by-step explanation:
Equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So the equation is: 64 = (x+7)^2 + (y-5)^2
(x + 2) (x + 6) is your answer!
How to solve your problem:
1. Use the sum-product pattern
x2 + 8x + 12
x2 + 6x + 2x + 12
2. Common factor from the two pairs.
x2 + 6x + 2x + 12
x(x + 6) +2(x + 6)
3. Rewrite in factored form.
x(x + 6) +2(x + 6)
(x + 2) (x + 6) :)
can i get a thanks?
Answer:
The constant charge for each minute used is $50
Step-by-step explanation:
In order to solve this problem we will need to set two variables up. In this case:
F = constant Fee
R = rate per minute used
So the cost for the month of January is calculated like this:
F+300R=68
and the cost for February is calculated like this:
F+275R=66.5
So no we have a system of equations we can solve simultaneously. This can be solved by using different methods, elimination, substitution, graphically or by using matrices. I will solve this by substitution.
So let's solve the first equation for R:

and let's substitute this first equation into the second equation:

and now we can solve this for F:

We can multiply both sides by 12 so we get:
12F+11(68-F)=798
12F+748-11F=798
F= $50