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3 years ago

2x2-3x-2=x+4 select all the solutions

1 answer:

5 0

Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4
Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0
The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0
Divide both sides by 2:(x - 3) (x + 1) = 0
Split into two equations:x - 3 = 0 or x + 1 = 0
Add 3 to both sides:x = 3 or x + 1 = 0
Subtract 1 from both sides:Answer: x = 3 or x = -1

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Find the surface area of the pyramid. 64in^2 56in^2 88in^2 118in^2

ziro4ka [17]

Answer:

To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of one triangle is 12 inches.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= 48 inches is the area of all the triangles.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = $s^{2}$

Where 's' represents one side of the square which is being squared.

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula $s^{2}$ )

A = $s^{2}$

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the area of the base(square) is 16 inches.

Now we add both areas together:-

48 + 16

= 64 inches^2 is the surface area, your answer is A.

5 0

2 years ago

What is the volume of a cone when the radius is 6 and the height is 13

lidiya [134]

Answer:

<h2>489.84 units³</h2>

Step-by-step explanation:

Given,

Radius ( r ) = 6

Height ( h ) = 13

Volume of cone = ?

Now, Let's find the volume of cone:

$= \pi \: {r}^{2} \frac{h}{3}$

plug the values

$= 3.14 \times {6}^{2} \times \frac{13}{3}$

Evaluate the power

$= 3.14 \times 36 \times \frac{13}{3}$

Calculate

$489.84$ units³

Hope this helps..

Best regards!!

6 0

3 years ago

45% of what number is 17.1? Please help 20 points

vitfil [10]

45% × ? = 17.1

17.1 ÷ 45% =

17.1 ÷ (45 ÷ 100) =

(100 × 17.1) ÷ 45 =

1,710 ÷ 45 =

38;

so 45% of 38 = 17.1

7 0

3 years ago

Read 2 more answers

The lengths of the sides of a triangle are 11.25 inches, 9.25 inches, and 10.25 inches. What is the perimeter of the triangle?

solong [7]

Perimeter of the triangle is 30.75 inches.

Step-by-step explanation:

Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 in

Step 2: Formula for perimeter of triangle = length of sides of the triangle
Step 3: Substitute in the formula

Perimeter = 11.25 + 9.25 + 10.25

= 30.75 inches

8 0

3 years ago

The 2 triangles below are similar. Solve for X please!

AysviL [449]

Answer:

C) x = 12

Step-by-step explanation:

We can calculate the value of x using similarity ratio

x/8 = 9/6 cross multiply expressions

6x = 72 divide both sides by 6

x = 12

8 0

3 years ago