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Dimas [21]
3 years ago
7

What is the surface area of this wedge

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

84 ft

Step-by-step explanation:

triangle= 1/2bh

rectangle or square = bh

so 1/2(4)3=6

6 times 3= 18

1/2(4)3= 6

4 times 6 = 24

5 times 6 = 30

now you add them all up

6 + 18 + 6+ 24+ 30 =

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If f(x)=x/3 -2 and g(x)=3x^2+2x-6 find (f+g)(x)
umka21 [38]

Answer:

(f + g)(x) = 3x² + (7/3)x - 8

Step-by-step explanation:

To find (f + g)(x), you need to add both the f(x) and g(x) equations together.

f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2

g(x) = 3x² + 2x - 6

(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6)          <----- Add both equations

(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6              <----- Rearrange (2 = 6/3)

(f + g)(x) = 3x² + (7/3)x - 8                           <----- Simplify similar terms

6 0
2 years ago
What is the effect on the graph of the function f(x) = 5xl when f(x) is changed to f(x – 5)?
Mekhanik [1.2K]

A change to the inside of the function notation is always a left/right or horizontal change to the graph.

Answer: A

Subtracting 5 actually shifts the graph to the right by 5 units.  It's counter-intuitive and there are many ways to explain why it's the opposite of what you think it'd do, but it is a shift to the right by 5 units.

PS

A change outside the f(x) notation is an up/down or vertical change to the graph.

6 0
2 years ago
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?
Artyom0805 [142]

Answer:

y=\frac{1}{6} (x-4)-\frac{9}{2}

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}

∴ y=\frac{1}{6} (x - 4)^{2}+\frac{-9}{2}

∴ y=\frac{1}{6} (x-4)-\frac{9}{2}

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0
3 years ago
a fisherman catches 2 fish the amberjack weighs 3 times as much as the snapper,altogether the fish weigh 44 pounds how much does
Anna [14]

Because of the fact that the amberjack is essentially three snappers, it can be shown as 3s

since one snapper is one s, and the amberjack is 3s, we can combine like terms

s+3s = 4s

because altogether, the fish weigh 44 pounds, 4s would equal 44 (shown as 4s = 44), from there, simply divide by 4 on both sides to get the weight of a snapper;

s = 11

Small bonus (finding an amberjack)

Since an amberjack is equal to three snappers, and a snapper is 11 pounds, an amberjack would be 33 pounds.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=2151%20%2B%202551" id="TexFormula1" title="2151 + 2551" alt="2151 + 2551" align="absmiddle" cl
vichka [17]
This is 4702 hope it helps
6 0
3 years ago
Read 2 more answers
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