2 years ago

Find the rate if a fitness instructor can do 75 pull-ups in 5 minutes

Mathematics

1 answer:

Naddik [55]2 years ago

8 0

Answer: 15 pushups a minute

Step-by-step explanation: 75 ÷ 5 = 15

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3 years ago

A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla. If you use 6 teaspoons of vanilla, how many c

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Find the area of a circle with (a) a radius of 9.2 centimeters and (b) a diameter of 50.5 inches.

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2 years ago

Please help

ASHA 777 [7]

Answer:

(-6,4)

Step-by-step explanation:

The equations are:

$x^2+4y^2=100\\4y-x^2=-20$

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

$4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100$

Now we can solve for y:

$4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5$

So plugging in y = 4 into an equation and solving for x, we have:

$x^2=4y+20\\x=+-\sqrt{4y+20} \\x=+-\sqrt{4(4)+20} \\x=+-\sqrt{36} \\x=6,-6$

So y = 4 corresponds to x = 6 & x = -6

The pairs would be

(6,4) & (-6,4)

<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>

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2 years ago