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butalik [34]
3 years ago
15

Find the value of x

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

<em>108 = 1/2 * x * (x + 6)</em>

<em>x² + 6x = 216</em>

<em>x² + 6x - 216 = 0</em>

<em>x² + 18x - 12x -216 = 0   (Splitting the middle term)</em>

<em>x(x + 18) - 12(x + 18) = 0</em>

<em>(x + 18) (x - 12) = 0</em>

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

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Answer:

y=5x  is not linear

Step-by-step explanation:

option A is not linear

4 0
3 years ago
What is 2,443,805,567 rounded to the nearest hundred
n200080 [17]

Answer:

2,443,805,600

Step-by-step explanation:

3 0
3 years ago
Alla and balla together drink 750ML of water. Of alla drinks 50% more than balla how much does Alla drink
Akimi4 [234]

Answer:

450 ml.

Step-by-step explanation:

Let x be the amount of water drank by Alla and y be the amount of water drank by Balla.

We have been given that Alla and Balla together drink 750 ML of water. We can represent this information as:

x+y=750...(1)  

We are also told that Alla drinks 50% more than Balla. We can represent this information as:

x=1.5y...(2)

From equation (1) we will get,

y=750-x  

Upon substituting this value in equation (2) we will get,

x=1.5(750-x)

Upon distributing 1.5 to right hand side of the equation we will get,

x=1125-1.5x

Upon adding 1.5x to both sides of equation we will get,

x+1.5x=1125-1.5x+1.5x

2.5x=1125

Let us divide both sides of our equation by 2.5.

\frac{2.5x}{2.5}=\frac{1125}{2.5}

x=450

Therefore, Alla drank 450 ml of water.

8 0
3 years ago
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

70x = 300

x = \frac{300}{70}

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0
3 years ago
Read 2 more answers
3r+n^2-r+5-2n+2 simplify
andrey2020 [161]
3r+n^2-r+5-2n+2=n^2-2n+(3r-r)+(5+2)\\\\=\boxed{n^2-2n+2r+7}
4 0
3 years ago
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