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MrMuchimi
2 years ago
8

29+5x=4 21+3x=51 13+5x=33 47-3x=32 157+-11x=69 1x+72=82

Mathematics
2 answers:
saul85 [17]2 years ago
8 0
1. x=-5
2. x=10
3. x=4
4. x=5
5. x=8
6.x=10
aniked [119]2 years ago
5 0
1- rearrange terms
29+5x=4
5x+29=4
Subtract 29 from both sides since it don’t have the variable
5x=-25
Divide by 5 to get individual X.
X= -5

2- rearrange terms
3x+21=51
Subtract 21 from both sides.
3X=30
Divide by 3.
X= 10

3) rearrange terms.
5x+13=33
Subtract 13.
5x=20
Divide by 5.
X=4

4) -3X+47=32
Subtract 47 from both sides.
-3x=-15
x=5

5) -11x+157=69
Subtract 157
-11x=-88
Divide by 11.
x= 8

6-
1x+72=82
subtract 72.
1x=10
Divide by 10.
X=10
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ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

A_1=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length.

Putting a=2, we get

A_1=\dfrac{\sqrt{3}}{4}(2)^2

A_1=\dfrac{\sqrt{3}}{4}(4)

A_1=\sqrt{3}

A_1\approx \sqrt{3}

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

LA=Ph

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

A_2=(2+2+2)5

A_2=(6)5

A_2=30

Now, the total surface area is the sum of areas of bases and lateral surface area.

A=2A_1+A_2

A=2(1.73)+30

A=3.46+30

A=33.46

Therefore, the total surface area is 33.46 cm².

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viktelen [127]

Answer: f(-6) = -\frac{12}{11}, f(-4) = \frac{8}{9}, f(4) = -\frac{8}{9}, f(6) = \frac{12}{11}

<u>Step-by-step explanation:</u>

(-6, f(-6)) is an x,y coordinate.  They are asking what the y-value is when you plug in -6 for x.

f(x) = \frac{2x}{x^{2}-25}

f(-6) = \frac{2(-6)}{(-6)^{2}-25}

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      = -\frac{12}{11}

f(-4) = \frac{2(-4)}{(-4)^{2}-25}

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f(4) = \frac{2(4)}{(4)^{2}-25}

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