To do this, complete the square:
p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have </span><span>p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)</span>
Well the may not be the same by comparing the angels and the area an perimeter and shape<span />
Answer:
B) 10 cm
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve for the hypotenuse.
Formula: 
- a = leg
- b = leg
- c = hypotenuse
We can plug in the values for each leg to solve for the hypotenuse.
<h3>Solve for c</h3>
The answer is Option B: 10 cm
Answer:Let's solve your equation step-by-step.
1
4
(2x+8)=−16
Step 1: Simplify both sides of the equation.
1
4
(2x+8)=−16
(
1
4
)(2x)+(
1
4
)(8)=−16(Distribute)
1
2
x+2=−16
Step 2: Subtract 2 from both sides.
1
2
x+2−2=−16−2
1
2
x=−18
Step 3: Multiply both sides by 2.
2*(
1
2
x)=(2)*(−18)
x=−36
Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
---------------------------------------------------------------
∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR =
=
= 48°