2 years ago

Two numbers that multiply to get 72 but add to get -22

1 answer:

6 0

<span>Two numbers that multiply to get 72 but add to get -22

4 x 18= 72
4 + 18 = 22

just change the signs depending on the problem</span>

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△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt

Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

$Hypotenuse=2\sqrt{17}$

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

$Hypotenuse^2=Base^2+Perpendicualar^2$

△ABC is a right angle triangle and AC is hypotenuse, so

$(2\sqrt{17})^2=(x)^2+(x+6)^2$

$68=x^2+x^2+12x+36$ $[\because (a+b)^2=a^2+2ab+b^2]$

Subtract 68 from both sides.

$0=2x^2+12x+36-68$

$0=2x^2+12x-32$

$0=2(x^2+6x-16)$

Divide both sides by 2.

$x^2+6x-16=0$

Splitting the middle term, we get

$x^2+8x-2x-16=0$

$x(x+8)-2(x+8)=0$

$(x+8)(x-2)=0$

$x=-8,2$

Side cannot be negative, so x=2 only.

Now,

$AC=x+6$

$AC=2+6$

$AC=8$

Therefore, the length of AC is 8 units.

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2 years ago

Match the numbers to the correct label.

Naya [18.7K]

Answer:

a-1/4 , b- 0.17, c-2/9

Step-by-step explanation: you have to read the number line carefuly.

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2 years ago

9y-15x= -36 in slope intercept form

nataly862011 [7]

It would be y=5/3 x-5

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2 years ago

Read 2 more answers

Can you please help me with Questions #18-22 on this Math Worksheet

CaHeK987 [17]

21. 4x+4y
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2 years ago

Solve C=2<img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexFormula1" title=" \pi " alt=" \pi " align="absmiddle" class="late

Gnoma [55]

C = 2πr Divide both sides by 2π
C/2π = r Switch the sides to make it easier to read
r = c / 2π

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3 years ago