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charle [14.2K]
3 years ago
14

Select the correct answer.

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer:

25

Step-by-step explanation:

divide 48 by 4 which is 25%

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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.

6 0
3 years ago
what is the equation written in vertex form of a parobla with a vertex of (-1,8) that passes through (1,0)? please help asap
Nataly [62]

Step-by-step explanation:

Equation: y = (x - 1)² + 4

8 0
3 years ago
Find the value of x.
VikaD [51]

Answer:

X = 9

okay If I'm wrong sry what's 9x3 it's 45 right ( me not using a caluctalter ) ( I didn't even spell that Right lol ) but anyways it's X=9

4 0
3 years ago
Please help i dont know how to do this
maxonik [38]
Hello once again!

When you see a question like this, you need to find the equation of the straight line.

The formular used is y = mx + c
Where
m = slope
c = constant

First find the slope, since it's a straight line, any 2 coordinates can be used.

m = { \frac{y_1 - y_2}{x_1-x_2} } \\ m= { \frac{16 - (- 8)}{-2 - 2} } \\ m= { \frac{24}{-4} } \\ m = -6

Now we need to substitude in the slope, and one of the coordinate you used to find the slope, to the formular to find the constant.

In this case i'm using the coordinate
(-2, 16)

y = mx + c
16 = -6(-2) + c
16 = 12 + c
c = 4

∴ The equation of the line is y = -6x + 4

The next step is to simply substitude in the x = 8 to the equation to find y.

y = -6(8) + 4
y = -48 + 4
y = -44
7 0
3 years ago
Pic included Please answer!!!
TiliK225 [7]
The answer is -4 + 7. Because its subtracting 4 to zero which makes it -4. And then its adding 7 so the answer is -4+7
4 0
3 years ago
Read 2 more answers
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