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VladimirAG [237]
3 years ago
15

Can someone please help me I really need help

Mathematics
1 answer:
Julli [10]3 years ago
5 0

Answer:

3 3/4

Step-by-step explanation:

1 5/12 2 1/3

First, we must convert the fractions to have the same denominator.

We can turn 2 1/3 is equal to 2 4/12.

1 5/12 + 2 4/12 = 3 9/12

Now we simplify.

3 9/12 = 3 3/4

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Find x so the distance between (x, 6) and ( – 7, – 1) is 170​
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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

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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

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x=-8,2

Side cannot be negative, so x=2 only.

Now,

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AC=2+6

AC=8

Therefore, the length of AC is 8 units.

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