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ExtremeBDS [4]
4 years ago
14

Need help, please explain the answer

Mathematics
1 answer:
stellarik [79]4 years ago
7 0

Answer:

7 - x meters

Step-by-step explanation:

This is a difference of squares. The formula for difference of squares is

a^2-b^2 = (a-b)(a+b)

So plug the numbers we know into this formula.

Area = lw

49 - x^2 = (a-b)(7+x)

49 - x^2 = (7-x)(7+x)

<u>The length is 7 - x meters.</u>

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Write an equation in slope-point form, of the line through point j(4,1). with slope -4.
Wittaler [7]
Y-1=-4(x-4) is the equation in point slope form. 

8 0
3 years ago
Rachel is keeping track of how much water she drinks. On Friday, she drank two bottles of water with snacks and 5 cups of water
xeze [42]

Answer:

2 CUPS

Step-by-step explanation:

Write two equations, where "b" = bottles, and "c" = cups

2b +5c = b +7c -->

b = 2c

THERE ARE 2 CUPS IN A BOTTLE

6 0
3 years ago
Read 2 more answers
Assuming that it is known from previous studies that σ = 4.5 grams, how many mice should be included in our sample if we wish to
Yuki888 [10]

Answer:

The required amount of mice is 11.82 gram.

Step-by-step explanation:

Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.

To find : How many mice should be included in our sample?

Solution :

The formula used in the situation is

z=\frac{x-\mu}{\sigma}

Where, z value at 95% confidence interval is z=1.96

\mu=3 gram is the mean of the population

\sigma=4.5 gram is the standard deviation of the sample

Substituting the value, to find x sample mean

1.96=\frac{x-3}{4.5}

1.96\times 4.5=x-3

8.82=x-3

x=8.82+3

x=11.82

Therefore, The required amount of mice is 11.82 gram.

6 0
3 years ago
Points m is the midpoint of FG. Can you determine the value of a?
GenaCL600 [577]

Using the midpoint concept, it is found that the value of a is of a = 2.

<h3>What are the coordinates of the points?</h3>

Researching this problem on a search engine, the coordinates are given as follows:

  • F(b + 1, a + 2).
  • M(3,5).
  • (2a, 3b+3).

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence the following system of equations can be built:

(b + 1 + 2a)/2 = 3.

b + 1 + 2a = 6.

b = 5 - 2a.

(a + 2 + 3b + 3)/2 = 5

a + 3b + 5 = 10

a + 3b = 5.

Since b = 5 - 2a, we have that:

a + 15 - 6a = 5.

5a = 10

a = 10/5

a = 2.

The value of a is of a = 2.

More can be learned about the mid-point concept at brainly.com/question/10956693

#SPJ1

6 0
2 years ago
Which expression demonstrates the distributive property applied to the expression 4(x + y)?
nalin [4]
4x+4y is the right answer.
3 0
4 years ago
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