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2 years ago

What are the solutions to the equation?

Mathematics

1 answer:

nalin [4]2 years ago

7 0

Solutions are 3 and - 5.

Step-by-step explanation:

Step 1:

Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.

⇒ 3x² + 6x - 45 = 0

⇒ x² + 2x - 15 = 0

⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)

⇒ x (x + 5) - 3(x + 5) = 0

⇒ (x - 3)(x + 5) = 0

⇒ x = 3, - 5

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Express 11/15 as a percent.

Mnenie [13.5K]

11/15 = 0.7333333 = 0.73

5 0

3 years ago

Read 2 more answers

What is the total area of the figure below?

Gnesinka [82]

Answer:

141 square inches

Step-by-step explanation:

Area of a triangle: Base*Height*1/2

Area of a trapezoid: Height * (Base1 +Base2) / 2

Triangle Base = 6

Triangle Height = 8

6*8*1/2 = 24 square inches

Trapezoid Height = 9

Trapezoid Base1 = 16

Trapezoid Base2 = 10

9*(16+10) / 2 = 117 square inches

Total = Area of triangle + Area of trapezoid

Total = 24 + 117 = 141 square inches

3 0

2 years ago

The length of a rectangle is 4 yd more than twice the width x. The area is 390

masya89 [10]

Step-by-step explanation:

step 1. let l be the length of the rectangle

step 2. l = 2x + 4

step 3. lx = 390 yd^2

step 4. (2x + 4)x = 390

step 5. 2x^2 +4x = 390

step 6. 2x^2 + 4x - 390 = 0

step 7. -4 +- sqr(4^2 -4(2)(-390))/2(2) quadratic formula

step 8. (-4 +- sqr(3136))/4

step 9. (-4 +- 56)/4

step 10. x = 13yd, l = 2x + 4 = 2(13) + 4 = 30yd.

3 0

2 years ago

A square is divided into three congruent rectangles as shown at the right. Each of the three rectangles has a perimeter of 16 me

nadezda [96]

Answer:

Perimeter of square = 24 meter

Step-by-step explanation:

Given:

Square divided into three equal rectangle

Perimeter of rectangle = 16 meter

Find:

Perimeter of square

Computation:

We know that rectangle are equal

So,

3b = l

Perimeter of rectangle = 2 (l + b)

16 = 2 (l + b)

16 = 2 (3b + b)

b = 2 meter

l = 3 (2) = 6 meter

Side of square = 6 meter

Perimeter of square = 4(side)

Perimeter of square = 4(6)

Perimeter of square = 24 meter

4 0

2 years ago

63°<br> 13°<br> Choose the equation that best describes the image

Romashka [77]

Answer:

63degrees

Step-by-step explanation:

I cant see the picture well but i assume that is an angle and it is right before 90 degrees

7 0

2 years ago