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Zarrin [17]
3 years ago
11

In the figure, is a median. If = 6 + 10 and = 2 + 12, find the length of . Show your work.

Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:

26.

Step-by-step explanation:

Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12

Now, AD=  CD

or, 6x+10=2x+12

or, 6x-2x= 12-10

or, 4x= 2

or, x= 1/2

So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.

So, 6x+10+2x+12= AC

or, 8x+22= AC

or, 8 X (1/2) + 22= AC

or, 4+22 = AC

or, AC= 26.=

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Answer: Down there there is an image with the correct answer and step by step

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5 0
2 years ago
Identifying the slope, y-intercept and x- intercept of each
Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

\frac{(0)-(3)}{(2)-(1)}

Simplify;

\frac{-3}{1}\\\\=-3

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

y = mx + b

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

y=-3x+b

Substitute in point (3, -3)

-3=-3(3)+b\\-3 = -9 + b\\6 = b

4 0
2 years ago
-34 + 91 = -3 (4x + 1) + 6x
ra1l [238]

-34 + 91 = -3(4x+1) + 6x\\57 = -12x - 3 + 6x\\6x = -60\\x= -10\\

Thus x = -10.

Hope that helps!

3 0
2 years ago
Read 2 more answers
Plz help me i'm lost badly
Annette [7]

Answer:

Im not sure but i think the answer is 0

3 0
2 years ago
Error Analysis: Describe the error in the way the difference of the two polynomials is set up and/or
maria [59]

Answer:

  The distributive property is not properly applied to the second polynomial.

Step-by-step explanation:

For whatever reason, it is a common mistake to say that ...

  -(a +b +c) = -a +b +c . . . . WRONG!

Rather, it should be ...

  -(a +b +c) = -a -b -c . . . . CORRECT

6 0
3 years ago
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