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Varvara68 [4.7K]
2 years ago
6

It takes 8 seconds to fully inflate a mini basketball and 27 seconds to fully inflate a full size basketball. The mini basketbal

l is 6 inches in diameter. 1) If the full size ball is a dilation of the mini ball, what scale factor was used to create the full size ball? Response area
2) What is the diameter of the full size ball? Response area inches
Mathematics
1 answer:
iris [78.8K]2 years ago
3 0

Answer:

28.5 inches

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IF IT'S CORRECT!

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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point
Maksim231197 [3]

Answer: (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

or  (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

Taking square on both the sides , we get

(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0

Using quadratic formula : x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}

so, (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

since \sqrt{3}=1.732

so, (6+7(1.732),0)\text{ and }(6-7(1.732),0) are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0
3 years ago
What is the image of (-8,6) after a translation over the line y=-x
stira [4]

Answer:

(-6, 8)

Step-by-step explanation:

(x, y) --> (-y, -x)

(-8, 6) --> (-6, 8)

Therefore, (-6, 8)

I hope this helped and have a good rest of your day!

8 0
3 years ago
Alright last one- im very bad at this T-T 17 pointsss :)
Salsk061 [2.6K]

Answer:

you can find the answers here :)

Step-by-step explanation:

https://www.wolframalpha.com

https://www.symbolab.com

6 0
3 years ago
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-4y^5 + 6y^3 + 8y^2 - 2y
vitfil [10]
The answer is -2y•(2y^4 - 3y^2 - 4y + 1)
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3 years ago
ASAP DUE IN 30 MINS BRANLIEST POINTS THANKS
mrs_skeptik [129]

Answer:

here, ill wright the answers down and send you the pic.

Step-by-step explanation:

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