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Gekata [30.6K]

Answer:

Converting the equation $x^2-20x+13=0$ into completing the square method we get: $\mathbf{(x-10)^2=87}$

Step-by-step explanation:

we are given quadratic equation: $x^2-20x+13=0$

And we need to convert it into completing the square method.

Completing the square method is of form: $a^2-2ab+b^2=(a-b)^2$

Looking at the given equation $x^2-20x+13=0$

We have a = x

then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20

So, 20x in form of 2ab can be written as: 2(x)(10)

So, we need to add and subtract (10)^2 on both sides

$x^2-20x+13=0\\x^2-2(x)(10)+(10)^2-(10)^2+13=0\\(x^2-2(x)(10)+(10)^2) \:can\: be\: written\: as\: (x-10)^2 \\(x-10)^2-100+13=0\\(x-10)^2-87=0\\(x-10)^2=87$

So, converting the equation $x^2-20x+13=0$ into completing the square method we get: $\mathbf{(x-10)^2=87}$

4 0

3 years ago

Mrs. Cooper has 51.2 pounds of soil. She uses 12.9 pounds of soil for her houseplants and 30.4 pounds of soil for her garden How

myrzilka [38]

Answer:

7.9

Step-by-step explanation:

She has a total of 51.2 and uses 12.9+30.4.

The equation would be 51.2-(12.9+30.4).

51.2-(12.9+30.4)

=51.2-43.3

=7.9

Have a nice day!!!!!!! :-)

KA

3 0

3 years ago

RAMP 21.7 ft 8.5 ft 12 ft 20 ft 1. What is the total surface area of the ramp?

castortr0y [4]

Answer:

772.4 ft^2

Step-by-step explanation:

find the area of each face. first the slanted rectangle. the dimensions of the slanted rectangle are 21.7ft by 12ft. so the area is 21.7*12=260.4ft^2. for the two triangles on the sides, each on has an area of 20*8.5/2=85. next for the smaller rectangle, the dimensions are 12ft by 8.5ft giving us an area of 102 ft^2. lastly for the base, it has dimensions of 20ft by 12ft giving us an area of 240ft^2. now you just add up all the areas: 260.4+85+85+102+240=772.4 (you might want to check my addition just in case)

3 0

2 years ago

Read 2 more answers

When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia

Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0

3 years ago

The largest tree in the world by volume is in sequoia national park. The diameter at the base is 36ft. If a person with out stre

gavmur [86]

You would need to find the circumference(using the formula c=3.14r^2) of the tree which is 113.04 then you would have to divide it by 6 which is 18.84 which would round up to 19
Answer: 19 people

5 0

3 years ago