Select the factors of x^2 -10x+25? A.(x+5)(x+5) B.(x-5)(x-5) C.(x+25)(x+1) D.(x-25)(x-1)

Answers

Answer 1

Answer:

The correct answer is option B which is the factors are (x-5)(x-5).

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The quadratic equation will be solved as follows:-

x² -10x + 25 = x² -5x - 5x + 25

= x ( x- 5 ) - 5 ( x-5 )

= ( x - 5 ) ( x - 5 )

The factors of the equation are 5 and 5.

Therefore the correct answer is option B which is the factors are (x-5)(x-5).

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Answer 2

Answer: a²-2ab+b²=(a-b)²

x²-10x+5=x²-2×5×x+5²=(x-5)²=(x-5)(x-5)

B.(x-5)(x-5)

Related Questions

A table is 2 feet wide it is 6 times as long as it is wide

Answers

Answer:

length × width
(6×2) × 2
12 × 2
So length is 12

2 feet times 6 equals 12 which gives you the answer that the length is 12

Find the volume of a right circular cone that has a height of 19.4 in and a base with a circumference of 8.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

$V=35.4 in^3$

Step-by-step explanation:

The volume of a right circular cone is given by the formula,

$V=(1)/(3) \pi r^2h$

where $h=19.4 in$ is the height of the cone.

We can deduce the radius from the circumference of the cone.

$C=2\pi r$

It was given that the circumference is 8.3 in.

$\Rightarrow 8.3=2(3.14) r$

$\Rightarrow 8.3=6.28r$

$\Rightarrow 1.32=r$

The volume of the cone now becomes;

$V=(1)/(3) * 3.14* (1.32)^2* 19.4$

$V=35.380in^3$

The volume of the cone to the nearest tenth is 35.4 cubic inches to the nearest tenth.

Final answer:

By calculating the radius from the given circumference, we can find the volume of a right circular cone with the height of 19.4 inches and a base with a circumference of 8.3 inches to be 33.3 cubic inches.

Explanation:

To calculate the volume of a right circular cone, we need to know the radius, r, and the height, h.

The formula to find the volume, V, of a cone is V = 1/3*π*r²*h.

Given that the height, h, is 19.4 inches, we need to find the radius.

Since the given circumference, C, is 8.3 inches and the formula for circumference is 2*π*r, we can calculate the radius. Solving 8.3 inches = 2*π*r for r gives us r≈1.3 inches.

Then, inserting the values of r and h in the volume formula gives V = 1/3*π*(1.3)²*19.4≈ 33.3 cubic inches.

Rounding to the nearest tenth gives the volume as approximately 33.3 in³.

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The average high temperature in a town for the month of July is 36.71 C. One day in July the temperature reached a record high of 39.52 c. How much higher is the record high temperature than the average high temperature?

Answers

Answer:

2.81 C

Step-by-step explanation:

39.52-36.71 = 2.81 C

Hi!

The answer is simple. :) Just subtract the record high temperature (39.52) and the average high temperature (36.71)

Your answer would be 2.81.

Hope this helps, have a wonderful day/night! :)

How many angles does a cube have?

Answers

A cube is a geometric three-dimensional solid object. It constitutes 6 square faces, sides and three meeting at each vertex. It is the only regular hexahedron. A cube has a fixed number of perpendicular angles. Typically, it has 8 perpendicular angles and each spigolo or corner has 3 angles. Since it has 8 perpendicular (⊥) angles and 3 angles in each corner, it makes up 24 angles.
All 8 ⊥ angles and 3 angles in each corner mean: 8*3=24.

Therefore, a cube has 24 right angles.

At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase you save $ 0.20 $0.20dollar sign, 0, point, 20 on gas.

Answers

The complete question is:

At the gas station, each liter of gas costs $3dollar but there's a promotion that for every beverage you purchase you save $0.20 dollar on gas. Is your total savings on gas proportional to the number of beverages you purchase?

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages savings ratio

1 $ 0.20 $0.20 / 1 beverage = 0.20

2 $ 0.40 $0.40 / 2 beverages = 0.20

3 $ 0.60 $0.60 / 3 beverages = 0.20

4 $ 0.80 $0.80 / 4 beverages = 0.20

What is 50/100 in decimal

Answers

All you have to do is divide. So divide 50÷100 and you will get your answer. When you divide by 100 all you have to do is move the decimal two places to the left so the answer is .5

0.5 is the answer to that I hope I got it right

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How many questions would I have to miss on a 25 question test to get 88% ?

21. find the volume of the solid of revolution formed if the area enclosed between the curves y=x² and y=(x-2)² is rotated about the x-axis using integration