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3 years ago

Find the value of x.

Mathematics

1 answer:

olchik [2.2K]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

In $\triangle BAC, \: DE || AC$

Hence, by basic proportionality theorem:

$\frac{x + 2}{x} = \frac{3}{2} \\ \\ \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\ \huge \red { \boxed{\therefore \:x = 4}}$

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Help me pls due 9-24-18

ANTONII [103]

26. Tuesday -5 is colder than all the others
27. Friday 0degrees is the warmest day there
28. 20 degreases on Saturday adding the positive 25 to negative five makes it 20 degrees

8 0

3 years ago

I need to know the answer and how to get it

Stells [14]

The answer is 6.25 square kilometres

one side is 1.25 and the other will be 1.25*4 =5
and for the area we multiply the two 1.25*5=6.25

7 0

3 years ago

Read 2 more answers

Write the equation of a possible rational

kondor19780726 [428]

Answer:

The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)

Step-by-step explanation:

A rational equation is a equation where

$\frac{p(x)}{q(x)}$

where both are polynomials and q(x) can't equal zero.

1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

$(x - 2)$

in our denomiator.

So right now we have

$\frac{p(x)}{(x - 2)}$

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.

We can model -2.5 as

$(2x + 5)$

So we have as of right now.

$\frac{(2x + 5)}{(x - 2)(2x + 5)}$

Now let see if this passes throught point (6,-3).

$\frac{(2x + 5)}{(x - 2)(2x + 5)} = y$

$\frac{(17)}{68} = \frac{1}{4}$

So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.

If we have a variable r, in the numerator that will make this applicable, we would get

$\frac{(2x + 5)r}{(2x + 5)(x - 2)} = - 3$

Plug in 6 for the x values.

$\frac{17r}{4(17)} = - 3$

$\frac{r}{4} = - 3$

$r = - 12$

So our rational equation will be

$\frac{ - 12(2x + 5)}{(2x + 5)(x - 2)}$

$\frac{ - 24x - 60}{2 {x}^{2} + x - 10}$

We can prove this by graphing

5 0

2 years ago

Y is inversely proportional to x . When y = 25 , x = 4 Work out y when x = 20

ehidna [41]

Answer: 125

Step-by-step explanation:

4/25 = 20/Y

Cross multiply to get the equation

4Y = 500

Divide both sides by 4

Y=125

7 0

3 years ago

A bus travels through the city and stops every mile. The first stop on the route is the 8th Avenue Coffee Shop, which is located

ycow [4]

<span>The student apparently added numbers without taking into account direction. They seem to have added 15 and 25 and divided by 2 to get the horizontal component of the middle stop when they should have added 15 and -25 and divided by 2. A similar mistake was made on determining the vertical component. The middle stop should have been calculated as 5 blocks west and 7 blocks south of the central station. So your answer is C.</span>

5 0

3 years ago

Read 2 more answers