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3 years ago

Can someone help me with this please??

Mathematics

1 answer:

Llana [10]3 years ago

4 0

Answer:

(x-5)*(x+5)

Step-by-step explanation:

= x^2 + 5x - 25 - 5x

= x^2 +5x - 5x -25

because +5x - 5x = 0 so

= x^2 + 0 - 25

= x^2 - 25

25 can be written as 5^2

= x^2 - 5^2

we know that a^2 - b^2 = (a-b) * (a+b)

so x^2 - 5^2

= (x-5) * (x+5)

Hope this help you :3

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The probability will be 1/6

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4 years ago

The graph of a degenerate circle is a____.

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The graph of a degenerate circle is a point

Which mean :
A point is a degenerate circle (circle equation with zero radius)
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4 years ago

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three positive whole numbers have a sum of 48. The second number is 5 times the first and the third number is twice the second n

Mademuasel [1]

Answer:

3, 15 and 30

Step-by-step explanation:

Let the first number be x

Second number is 5 times the first number = 5x

Third number is twice the second number = 2×5x = 10x

The equation becomes;

x + 5x + 10x = 48

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x = 48 ÷ 16

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Therefore the three numbers are x = 3, 5x = 15 and 10x = 30

5 0

3 years ago

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What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-

11Alexandr11 [23.1K]

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This is a finite geometric series with n = 4, a₁ = -144, and r = ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wanted to find the infinite sum (n = ∞):

S = a₁ / (1 − r)

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4 years ago

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Use the diagram below to answer parts B, and C.

expeople1 [14]

Answer:

The volume of the triangular prism in the diagram is:

105.5 $in^{3}$

The surface area of the triangular prism in the diagram is:

10.75 $in^{2}$

Step-by-step explanation:

First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:

Area of a triangle = (base * height) / 2

We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:

Area of a triangle = ( 5 in * 4.3 in) / 2
Area of a triangle = ( 21.5 $in^{2}$ ) / 2
Area of a triangle = 10.75 $in^{2}$

Now, we can calculate the volume of the triangular prism with the next formula:

Volume of a triangular prism = surface area * depth

In the diagram, we can see the depth is 14 inches, then:

Volume of a triangular prism = 10.75 $in^{2}$ * 14 in
Volume of a triangular prism = 105.5 $in^{3}$

How you can see with the calculations perfomed, the surface area is 10.75 $in^{2}$ and the volume of that triangular prism is 105.5 $in^{3}$ .

7 0

3 years ago