Answer:
x = ± 
Step-by-step explanation:
Given
y = x² + 7 ( subtract 7 from both sides )
y - 7 = x² ( take the square root of both sides, thus
x = ± 
Answer:

Step-by-step explanation:
Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.
We need to find the dot product a · b.
The formula of dot product is

where, θ is the angle between a and b.
Substitute the given values in the above formula.


![[\because \cos (\pi-\theta)=-\cos \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%28%5Cpi-%5Ctheta%29%3D-%5Ccos%20%5Ctheta%5D)


Rationalize the above equation.



Therefore, the value of a · b is
.
Answer:
1.
Statement: m∠A + m∠B + m∠C = <u>180°</u>
Reason: <u>Sum of Angles in a Triangle</u>
2.
Statement: 28° + x - 4° + <u>2x</u> = 180°
Reason: Substitution
3.
Statement: x = <u>52°</u>
Reason: Algebra
Answer:
3^12
Step-by-step explanation:
When multiplying the same number with different exponents you have to add the the exponents. For example:

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12