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3 years ago

If a right triangle has two legs a=7 and b=4, what is the length of the hypotenuse

Mathematics

1 answer:

DENIUS [597]3 years ago

5 0

A^2 + b^2 = c^2
7^2 + 4^2 = 65
square root of 65 is 8.06
answer: 8.06

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Solve for x {x+4]= 6

wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<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 an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

$\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}$

After calculating:

$\rm x = \dfrac{-4 \pm\sqrt{40}}{2}$

$\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}$

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

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6 0

2 years ago

Read 2 more answers

Heeeeelp!!!!!!

nydimaria [60]

Answer:

29 nickels, 12 dimes

If the number of nickels is 7 less than three times the number of dimes, the answers should be 29 nickels and 12 dimes. Hope it helps!

7 0

3 years ago

Read 2 more answers

Please help me! I need this asap (I was supposed to do it yesterday :/ )<br> Its in the picture UwU

FromTheMoon [43]

Answer:

Hewo!

Step-by-step explanation:

im not sure of the answer but i got the trick!

so for the length add 8 to the width and for the area multiply the width by 14

This should get you the correct answers :)

Hope i helped! :D

3 0

2 years ago

You finance a $500 car repair completely on credit, you will just pay the minimum payment each month for the next three months.

Cloud [144]

Answer:

Determination of the Finance Charge, Carry-over balance, Minimum Payment for each of the next two months:

Finance Charge:

First month = $7.91

Second month = $7.72

Carry-over balance:

First month = $487.59

Second month = $475.50

Minimum Payment:

First month = $20.32

Second month = $19.81

Starting balance (Carry-over balance + Finance charge):

First month = $507.91

Second month = $495.31

Step-by-step explanation:

a) Data and Calculations:

Credit Finance = $500

APR = 18.99%

Minimum monthly payment = 4% of the balance

Monthly rate of interest = 0.1899/12 = 0.015825

Finance Charge:

First month = $7.91 ($500 * 0.015825)

Second month = $7.72 ($487.59 * 0.015825)

Carry-over balance:

First month = $487.59($507.91 - $20.32)

Second month = $475.50 ($495.31 - $19.81)

Minimum Payment:

First month = $20.32 ($507.91 * 4%)

Second month = $19.81 ($495.31 * 4%)

Starting balance (Carry-over balance + Finance charge):

First month = $507.91 ($500 + $7.91)

Second month = $495.31 ($487.59 + $7.72)

6 0

3 years ago

Both my dad and I cannit figure this out someone please help.

Jet001 [13]

I would go with the second choice.

3 0

3 years ago