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ahrayia [7]
2 years ago
11

When the equation a-bx=cx +d is solved for x, the result is

Mathematics
1 answer:
dolphi86 [110]2 years ago
5 0

Answer:

x=a-d/c+b

Step-by-step explanation:

a-bx =cx+d

collect like terms

a-d=cx+bx

a-d=x(c+b)

x=a-d/c+b

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On a coordinate plane, the location of 3 points are: (0, 6). (5. -4), and (-1-5). Where would the fourth point need to be locate
mario62 [17]

Given:

The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).

Let the fourth vertex be D(a,b).

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.

Midpoint of AC = Midpoint of BD

\left(\dfrac{0+(-1)}{2},\dfrac{6+(-5)}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)

On comparing both sides, we get

\dfrac{5+a}{2}=-\dfrac{1}{2}

5+a=-1

a=-1-5

a=-6

And,

\dfrac{-4+b}{2}=\dfrac{1}{2}

-4+b=1

b=1+4

b=5

Therefore, the coordinates of fourth vertex are (-6,5).

8 0
3 years ago
The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job statu
labwork [276]

Answer: b

Step-by-step explanation:

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3 years ago
What is the value of v? Please provide an explanation, thanks!
san4es73 [151]

Answer:

13

Step-by-step explanation:

(180-(11v+15)+9v-8+6v-9=180

4v+148=180

4v=52

v=52/4

=13°

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3 years ago
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Ilia_Sergeevich [38]

Answer:

D. DE = 24 yd, EF = 10 yd

Step-by-step explanation:

Solve for the unknown angles by setting up common ratios and cross multiplying. You can use this method because they are similar triangles.

For example, DE can be found by setting the ratios of AC/AB equal to the ratio of DF/DE.

13/12 = 26/x

Simply solve for x!

3 0
3 years ago
Read 2 more answers
Subtract. Simplify, if possible.<br> 5/8<br> -<br> * 2 1 / 2 - 3
Nat2105 [25]

2\frac{1}{2} - \frac{5}{8}

Convert the mixed number to an improper fraction:

\frac{5}{2} - \frac{5}{8}

Subtract the fractions to get your final answer:

\frac{15}{8}

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