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2 years ago

I need help with this asap please !! find the value of X

Mathematics

1 answer:

elena-s [515]2 years ago

8 0

Answer:

x = 11

Step-by-step explanation:

By using angle bisector theorem,

"Bisector of an angle divides the opposite side of the angle into two segments such that they are proportional to the other two sides.

$\frac{AC}{CD}= \frac{AB}{BD}$

$\frac{8}{4}=\frac{x+3}{x-4}$

8(x - 4) = 4(x + 3)

8x - 32 = 4x + 12

8x - 4x = 32 + 12

4x = 44

x = 11

Therefore, value of x is 11.

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Is the point (3, -2) a solution to the following system of equations? How do you know?

iris [78.8K]

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2) is the solution.

3 0

2 years ago

5x - 2 = 8 + 5y<br> Solve for y and show work.

solniwko [45]

The answer is “x=y+2” hopefully this helps :)))))

7 0

2 years ago

A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l

inn [45]

We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0

2 years ago

H(x) = x3 + 7<br> Determine whether the function is one-to-one.

zubka84 [21]

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

passes the vertical line test to make sure it is indeed a function, and

also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

$h\left(x\right)\:=\:x^3\:+\:7$

Have a look at the attached graph.

The red portion represents the graph of the function $h\left(x\right)\:=\:x^3\:+\:7$ .

The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is indeed a function.

The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

6 0

2 years ago

Where is the most optimal position to send your bean bag in relation to opponent's bean bag?

Stella [2.4K]

Answer:

right side

Step-by-step explanation:

7 0

2 years ago

￼I need help with this asap please !! find the value of X

I need help with this asap please !! find the value of X