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3 years ago

What is the midpoint between (3, -1) and (7,-5)

Mathematics

1 answer:

Alex Ar [27]3 years ago

6 0

Answer:

(5, -3)

Step-by-step explanation:

given two points (x₁, y₁) and (x₂, y₂), the midpoint is $(\frac{x_1+x_2}{2} ,\frac{y_1 + y_2}{2})$

$(\frac{3+7}{2} ,\frac{-1 + -5}{2})$ = $(\frac{10}{2} ,\frac{-6}{2}) = (5, -3)$

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A radio station has a broadcast area in the shape of a circle with equation x^2 + y^2 = 5, 625, where the constant represents sq

sergij07 [2.7K]

SOLUTION:

Given: Equation of a circle describing a radio station broadcast area.

$\begin{gathered} x^2+y^2=5625 \\ \text{Comparing with the general equation of a circle:} \\ (x-a)^2+(y-b)^2=r^2 \\ \text{Where (a,b) represents the centre of the circle} \\ r\text{ represents the radius of the circle} \\ \text{Therefore,} \\ The\text{ centre is the origin (0,0)} \\ \text{radius,} \\ r^2=\text{ 5625} \\ \text{Square}-\text{root both sides} \\ \sqrt[]{r^2}=\text{ }\sqrt[]{5625} \\ r=\text{ 75 miles} \end{gathered}$

To find:

A) Intercepts; x-intercept, y-intercept

$\begin{gathered} x-\text{intercept} \\ \text{the value of x when y=0} \\ x^2_{}+y^2=5625 \\ x^2=5625 \\ \text{square}-\text{root both sides} \\ \sqrt[]{x^2}=\text{ }\sqrt[]{5625} \\ x=\text{ 75 miles} \end{gathered}$ $\begin{gathered} y-\text{intercept} \\ \text{the value of y when x=0} \\ x^2_{}+y^2=5625 \\ y^2=5625 \\ \text{square}-\text{root both sides} \\ \sqrt[]{y^2}=\text{ }\sqrt[]{5625} \\ y=\text{ 75 miles} \end{gathered}$

B) radius

$\begin{gathered} r^2=\text{ 5625} \\ \text{Square}-\text{root both sides} \\ \sqrt[]{r^2}=\text{ }\sqrt[]{5625} \\ r=\text{ 75 miles} \end{gathered}$

C) Area of region

The formula for area of a circle is given as:

$\begin{gathered} A=\text{ }\pi\times r^2 \\ A=\text{ }\frac{22}{7}\times75^2 \\ A=\frac{22}{7}\times5625 \\ A=\text{ 17678.57 sq miles (2 d.p)} \end{gathered}$

7 0

1 year ago

Could someone help me out for number 5 please?

kifflom [539]

Answer:

she didnt multiply 5 times 12

7 0

4 years ago

the owner of an electorinics store recived a shipment of mp3 players at a cost of 64.25 each. If he sells the mp3 players for $9

MissTica

Answer:

he would make a profit of $35.74

the percent of markup is 56% (55.62 to be exact)

3 0

3 years ago

What is a equivalent expression to 4(5t - 7)

Ipatiy [6.2K]

Answer:

20t-28

Step-by-step explanation:

expand the bracket

4 0

3 years ago

James ran 3 miles. How many yard

DerKrebs [107]

There are 1760 yards in a mile. 1760 x 3 = 5280

Hope this helped!

6 0

4 years ago

Read 2 more answers