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myrzilka [38]
4 years ago
8

Chang runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes.

Mathematics
2 answers:
Ira Lisetskai [31]4 years ago
8 0
205 would be the answer for this
PSYCHO15rus [73]4 years ago
7 0
2.8 miles.

My Work/Reasoning:
First we find the rate. 7/60 mpm (miles per minutes)
Then we multiply that by 24. 7/60 * 24
Finally, we solve the equation and learn that Chang would run 2.8 miles in 24 minutes.
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Finish the polynomial by adding one number to make it a perfect square<br><br> x^2+18x+
dsp73

Answer:

81

Step-by-step explanation:

{x}^{2}  + 18x + {(( \frac{1}{2})(18)) }^{2}

{x}^{2}  + 18x +  {9}^{2}

{x}^{2}  + 18x + 81

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3 years ago
Identify the domain of the following rational expression:
Zinaida [17]

The domain for the rational expression as given in the task content is; All real numbers except -5.

<h3>Domain of Rational functions</h3>

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

Read more on rational functions;

brainly.com/question/13763081

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2 years ago
In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B
Step2247 [10]

Answer:

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<em>The radius of the circle is 5.</em>

Step-by-step explanation:

<u>Analytic geometry</u>

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

Substituting x1=-6, x2=2, y1=3, y2=-3:

\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2

\displaystyle y_m=\frac{3-3}{2}=0

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting x1=-6, x2=-2, y1=3, y2=0:

r=\sqrt{(-2+6)^2+(0-3)^2}

r=\sqrt{4^2+(-3)^2}

r=\sqrt{16+9}=\sqrt{25}=5

The radius of the circle is 5.

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