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podryga [215]
2 years ago
6

Write the expression as a square of a binomial: 49x^2+12xy+64y^2

Mathematics
1 answer:
DiKsa [7]2 years ago
5 0
STEP
1
:
Equation at the end of step 1

((49 • (x2)) + 12xy) + 26y2
STEP
2
:

Equation at the end of step
2
:

(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 49x2 + 12xy + 64y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :
49x2 + 12xy + 64y2
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Y-y1=m(x-x1) for slope=m
point is (x1,y1)

pont s (7,4)
slope is 6
x1=7
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y-4=6(x-7)

2nd one is correct answer
4 0
2 years ago
CALCULATE THE TOTAL SURFACE AREA OF A CONE OF RADIUS 21CM AND HEIGHT 10CM
viva [34]

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2919.9455657092 centimeters^2

Step-by-step explanation:

6 0
2 years ago
Which statements about the cylinder are true? Select two
Rus_ich [418]

Answer:

The radius of the cylinder is (1/2)x units

The area of the cylinder’s base is (1/4)πx2 square units

The height of the cylinder is 4x units

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is (1/2)x units.

(2) The radius of the cylinder is 2x units.

(3) The area of the cylinder’s base is (1/4)πx2 square units.

(4) The area of the cylinder’s base is (1/2)πx2 square units.

(5) The height of the cylinder is 2x units.

(6) The height of the cylinder is 4x units

we know that

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=\frac{x}{2}\ units ----> the radius is half the diameter

V=\pi x^{3}\ units^3

substitute the given values  in the formula of volume

\pi x^3=\pi (\frac{x}{2})^{2}h

solve for h

simplify

x=(\frac{1}{4})h

h=4x\ units

<u>Verify each statement</u>

(1) The radius of the cylinder is (1/2)x units

The statement is true

see the explanation

(2) The radius of the cylinder is 2x units.

The statement is false

Because, the radius of the cylinder is x/2 units

(3) The area of the cylinder’s base is (1/4)πx2 square units

The statement is true

Because, the area of the cylinder's base is equal to

A=\pi r^{2}

r=\frac{x}{2}\ units

substitute

A=\pi (\frac{x}{2})^{2}

A=\frac{\pi x^2}{4}\ units^2

(4) The area of the cylinder’s base is (1/2)πx2 square units.

The statement is false

Because, the area of the cylinder's base is equal to

A=\frac{\pi x^2}{4}\ units^2

see the part (3)

(5) The height of the cylinder is 2x units.

The statement is false

Because, the height of the cylinder is 4x units (see the explanation)

(6) The height of the cylinder is 4x units

The statement is true

see the explanation

7 0
3 years ago
A group of hikers is descending a mountain at a rate of 400 feet per hour. After three hours, what integer represents their tota
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Answer:

1200

Step-by-step explanation:

it's just 400x3 which is 1200

7 0
3 years ago
Which of the following statements are true about the graph of the function f(x)=(x+5)(x-3)
mina [271]

x * x = x^2

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x^2 + 2x -15

This function is a quadratic function, with an upwards parabola.

4 0
2 years ago
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