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rodikova [14]
3 years ago
12

Which graph represents the parabolic equation (x − 2)2 = 12(y − 3)?

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

ANSWER

Option B

EXPLANATION

The equation given to us is;

{(x - 2)}^{2}  = 12(y - 3)

Comparing this to the general parabolic equation:

{(x - h)}^{2}  = 4p(y - k)

We have h=2 and k=3.

The vertex of this parabola is (h,k) which is (2,3).

This parabola also opens upwards because the value of p is positive.

The correct graph is B.

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A rectangular tank has length 75mm, width 65mm and height 45mm. Calculate the total area surface of the tank when it is closed
kolezko [41]
Answer:

22350 cubic mm

Step by step:

Surface area of a cuboid is given by 2( L*B + H*L + B*H)

Thus 2(75*65 + 45*75 + 65*45) = 22350 cubic mm

Answered by GAUTHMATH
5 0
3 years ago
One angle of the following triangle measures 2x. How many degrees does that angle
ella [17]

<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

<u>Explanation</u><u>:</u><u>-</u>

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

3 0
3 years ago
What’s Distribute -x(5x+2)
MaRussiya [10]

Answer:

-5x^2-2x

Step-by-step explanation:

When distributing, you multiply the term outside the brackets to all the terms in brackets.

If the term outside the bracket is negative, then when distributing/opening the brackets, the signs of the terms changes.

So in this prob. -x would multiply to both +5x and +2

-x*5x+-x*2

∴-5x^2-2x

4 0
4 years ago
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saveliy_v [14]
1+4+16+64+256+1,024= A) 1,365
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4 years ago
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my sister is 14 years old. my brother says that his age minus twelve is equal to my sister's age. how old is my brother?
lord [1]
24-12=14, so your brother is 24.
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3 years ago
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