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3 years ago

Would appreciate the help!

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

Two segments that are tangent to a circle from the same external point are of equal length.
9) 2x²=8x
2x²-8x=0
x(2x-8)=0
x=0,
2x-8=0
x=4 can be
2*4²=8*4=32

10) y=y²/7
y²/7- y=0
y(y/7 -1)=0
y=0,
y/7 - 1=0
y/7=1
y=7 can be
y=y²/7= 7

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(3x+4)^2=14 what are the solutions?

kherson [118]

$\bf (3x+4)^2=14\implies \sqrt{(3x+4)^2}=\pm\sqrt{14}\implies 3x+4=\pm\sqrt{14}
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3 years ago

An online retailer collects 7% sales tax. If the sub total of the purchase is $76.00, then how much is collected for sales tax?

jok3333 [9.3K]

The collected tax on purchase of $76.00 is $5.32

Further explanation:

The sales tax is calculated on the total sales by the formula

$Tax = total * \frac{7}{100}$

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Total purchase = $76.00

Percentage of tax = 7%

So,

Putting the values in the formula

$Tax\ amount = 76.00 * \frac{7}{100}\\= 5.32$

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3 years ago

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s^2. How much time does it take to travel

leva [86]

The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have:

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

From the second equation of motion:

$\rm s = u + \dfrac{1}{2}at^2$

We have given:

s = 95.1 m

u = 26.8 m/s

a = 4.73 m/s²

$\rm 95.1 = 26.8 + \dfrac{1}{2}(4.73)t^2$

The above equation is a quadratic equation:

After simplification:

$\rm \dfrac{4.73}{2}t^2=68.3$

$\rm t^2=28.879$

t = 5.373 seconds ≈ 5.34 seconds

Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

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2 years ago

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pogonyaev

Answer:

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Step-by-step explanation:

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3 years ago

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Verizon [17]

The perimeter of each shape is false

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3 years ago

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