F(x) = -4x + 9 and g(x) = 2x - 7, find f ( g (x))

The sum of all the prime factors of 18 is

kvv77 [185]

Answer:

The factors of the number 18 are: 1, 2, 3, 6, 9, 18. If you add them up, you will get the total of 39.

8 0

3 years ago

Which statement describes this pair of congruent triangles?

notka56 [123]

H and N are congruent because they are both 58 degrees,

J and L are congruent because they are both 62 degrees,

and K and M are congruent because they are both 60 degrees.

Therefore triangle HJK is congruent to triangle NLM.

3 0

3 years ago

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Of the following, which is the solution to 2x2 − 5x = −8? the quantity negative five plus or minus i times the square root of th

aleksandrvk [35]

2x²-5x+8=0
use the quadratic formula, x=(5+√39i)/4 of x=(5-√39i)/4
looks like the second choice is correct.

4 0

4 years ago

Read 2 more answers

Please help meee And explain pls

BartSMP [9]

Answer:

40

Step-by-step explanation:

angle CHA is equal to angle HGB because they are alternate interior angles.

This means that angles CHA and AGH are supplementary, add up to 180 degrees.

So, 5x + x + 12 =180

6x = 168

x = 28

<CHG = x + 12 = 28 + 12 = 40

3 0

3 years ago

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

Solution:

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

The total area of pyramid is given by:

$A=A_{b}+A_{l}$ ---- eqn 1

Where,

$A_{b} \text { is the base area and } A_{l} \text { is the lateral area }$

The area of base is given as:

$A_{b}=\frac{3 \sqrt{3}}{2} l^{2}$

Where "l" is the side of hexagon.

Substituting we get,

$\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}$

The lateral area is given as:

$A_{l}=3 b h$

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

$\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}$

Plugging in the values we found in eqn 1 we get,

$A=24 \sqrt{3}+72$

A = 113.569 square units

Summarizing the results:

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0

3 years ago