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2 years ago

Point A is at (-7,5) and point B is at (7,3) what is the midpoint

Mathematics

1 answer:

AleksandrR [38]2 years ago

8 0

Answer:

The midpoint between A(-7, 5) and B (7, 3) is: (0, 4)

Step-by-step explanation:

Given the points

A (-7, 5)

B (7, 3)

Determining the midpoint between A(-7, 5) and B (7, 3)

$M.P_{AB\:}=\:\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(x_1,\:y_1\right)=\left(-7,\:5\right),\:\left(x_2,\:y_2\right)=\left(7,\:3\right)$

$=\left(\frac{7-7}{2},\:\frac{3+5}{2}\right)$

$=\left(0,\:4\right)$

Therefore, the midpoint between A(-7, 5) and B (7, 3) is: (0, 4)

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The length of line segment EC is 35

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3 years ago

there are a 100 student in a garde 79 students has honors what deciaml best represents the amount that the student honors

gogolik [260]

There are 100 students. In the 100 students, 79 of them have honors. To find the decimal form for the students who have honors, divide the total amount of students with honors with the total amount of students.

$\frac{Honors}{Total} = \frac{79}{100}$

Divide 79 by 100

$79 \div 100 = 0.79$

Your answer is 0.79

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3 years ago

Use the area of the rectangle to find the area of the triangle

bezimeni [28]

Answer:

The area of the Triangle is 1/2 the area of the Rectangle

The answer is D.

Step-by-step explanation:

Ignore the area of the rectangle for the moment, just so you can get the answer.

Area Triangle = 1/2 * b * h

Area Triangle = 1/2 * 8 * 4

Area Triangle = 1/2 32

Area Triangle = 16 square feet.

The area of the rectangle = L * W

L = 8

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Area of the rectangle = 8*4 = 32

3 0

3 years ago

Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

$\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75$

(b)

Compute the variance of X as follows:

$\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083$

(c)

Compute the value of P(X < 3.7) as follows:

$P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898$

Thus, the value of P(X < 3.7) is 0.4898.

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2 years ago

The City Zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bi

Anna11 [10]

Let a and c represent, respectively, the price of an adult and a child ticket. We know that

$\begin{cases}3a+2c=78.94\\2a+3c=75.86\end{cases}$

Multiply the first equation by 3 and the second equation by 2 to get

$\begin{cases}9a+6c=236.82\\4a+6c=151.72\end{cases}$

Subtract the two equations to have

$5a=85.1 \iff a=17.02$

Plug this value in the first equation to get

$3\cdot 17.02+2c=78.94\iff 2c=27.88\iff c=13.94$

7 0

3 years ago