Answer:
look below
Step-by-step explanation:
a.) -18 and -22 - because the pattern is subtracting 4
b.) -15 and -3 - because the pattern is adding 6
c.) 4 and -2 - because the pattern is dividing by -2
give brainly if it helps PLEASE
Surface area of this triangular prism is
Area of 2 congruent triangles + Area of rectangle(6*2) + Area of rectangle(2*4) + + Area of rectangle (2*3)
Area of triangle = 1/2*6*2 =6 in²
Surface area of this triangular prism = 2*6 +6*2 +2*4 +2*3= 12+12+8+6= 38 in²
Answer is 38 in².
Answer:
(y - 3)² = 12(x + 3)
Step-by-step explanation:
The focus is to the right of the vertex, so the parabola is sideways and opens to the right.
The conic form of a sideways parabola is
(y - k)² = 4p(x - h)
The vertex is at h = -3; k = 3
The focus is at (h + p, k) = (-3 + p, 3)
The vertex and focus are three units apart, so p = 3.
The equation of your parabola is
(y - 3)² = 12(x + 3)
The figure below shows the graph of your parabola with its focus and vertex.
Find the Greatest Common Factor (GCF)
<u>GCF = 6y^6</u>
Factor out the GCF. (Write the GCF first. Then, in parenthesis divide each term by the GCF.)
6y^6(24y^8/6y^6 + 6y^6/6y^6)
Simplify each term in parenthesis
<u>6y^6(4y^2 + 1)</u>
We are asked in this problem to determine the simplified expression of the statement given. The rules that apply in exponential functions is that when an exponential term is raised to the power of an integer, the simplified term has a degree that is equal to the product of the integers involved. The operations involved should be applicable to terms with the same base number only. In this problem, we thus write:
2^3/4 / 2^1/2 = 2^3/4 * 2^-1/2 = = 2^(3/4 - 1/2) = 2^ 1/4. hence the answer is 2^0.25 or simply equal to 1.1892 determined using a calculator.
