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Alenkinab [10]
3 years ago
11

I will give brainliest answer

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Answer:

Isnt it 12? the first rectangle says 2 on one side and 6 on another. The rectangle didn't change shape, but position.

Am I right??

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The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
3 years ago
What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig
Pavlova-9 [17]
The answers are: 4.5 g and 56.25 g respectively.

Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g

For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g
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3 years ago
What is the answer to 72% of 14?
SSSSS [86.1K]
14/100 = 0.14
0.14x72 = 10.08
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3 years ago
- في الشكل المجاور برهن أن<br>m&lt;E &lt;m&lt;CAD<br>B<br>D A<br>E<br>- ​
Anna35 [415]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
please help! A cheetah travels at a rate of 90 feet per second.The distance d traveled by the cheetah is a function of seconds t
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<h2><em>The equation would be d=90t because the input is 25 for t and multiply to get 2250 feet per second</em>. </h2>
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3 years ago
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