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3 years ago

Factor completely, then place the factors in the proper location on the grid. 16x^2 + 48xy + 36y 2

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

I'm not sure what grid you're referring to, but in the factorized form this equation is 4(4x^2 + 12xy +9y).

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The diagonals of a square are 4 meters long. The side of this square is equal to the diagonal of a second square. Find the side

jok3333 [9.3K]

Check the picture below.

since the second figure is also a square, then the sides touching the diagonals have to be all equal, and that'd only happen if those sides bisects the larger square's diagonal.

3 0

3 years ago

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism

sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

$5^2+12^2=13^2$

$25+144=169$

$169=169$

So, the base of the prism is a right triangle.

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

$A_1=\dfrac{1}{2}\times 5\times 12$

$A_1=30$

The area of the base is equal to the area of the top, i.e., $A_2=30$ sq units.

Perimeter of the base is

$P=5+12+13$

$P=30$

The curved surface area of the prism is

$CSA=\text{Perimeter of the base}\times \text{Height of the prism}$

$CSA=30\times 7.5$

$CSA=225$

Now, the total area of the prism is

$A=A_1+A_2+CSA$

$A=30+30+225$

$A=285$

Therefore, the total surface area of the triangular prism is 285 square units.

5 0

3 years ago

WILL GIVE BRAINLIEST

Amanda [17]

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<h3>Answer : y = ⅚x - 3</h3>

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<h3>Known</h3>

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

<h3>Question</h3>

Equation of the line (y = mx + c)

════════════════════

#First, you find the gradient (m)

$m = \frac{y2 - y1}{x2 - x1} = \frac{(( - 8) - 2)}{(( - 6) - 6)} = \frac{( - 10)}{( - 12)} = \frac{5}{6}$

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

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3 0

2 years ago

What is the domain of the function

Anon25 [30]

The answer is -2,2,3,4

7 0

3 years ago

Work out the coordinates of the midpoint of MN.<br><br>M (-5, 3) N(7, -8)

Angelina_Jolie [31]

Answer:

5,3 joules

I think bye bye

5 0

2 years ago

Read 2 more answers