Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Angles opposite to the equal sides of an isosceles triangle are equal, so the third angle in this triangle is also 61. Now, you know all the angles in the triangle, you can use the Triangle Sum Theorem, which says that all the angles in a triangle add up to 180.
x + 61 + 61 = 180
x + 122 = 180
x = 58
Hope this helped!
<span>8 1/2 divided by 5 2/3 is </span>1 1/2
Answer:
Benchmark fractions: 4/12 5/12 6/12 7/12
Mixed Fractions: 1 1/2 2 3/4 5 1/4 8 2/8
Step-by-step explanation:
A mixed fraction is simply a fraction with a whole number.
A benchmark fraction is a fraction used to compare and order other fractions.
Answer:The equation of the parabola is y=18(x−2)2−3