All categories

2 years ago

Help solve the system of equations

Mathematics

2 answers:

Lady_Fox [76]2 years ago

7 0

2x + 4 = x^2 + x - 2
x^2 + x - 2 - 4 - 2x = 0
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0

x - 3 = 0 y = 2x + 4
x = 3 y = 2(3) + 4
y = 10

x + 2 = 0 y = 2x + 4
x = -2 y = 2(-2) + 4
y = 0

solutions are : (3,10) and (-2,0) <===

liraira [26]2 years ago

7 0

Given,

y = 2x + 4

Also given,

y = x² + x - 2

Substituting the value of y from above,

2x + 4 = x² + x - 2

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = -2 or 3

When x = -2,

y = 2x + 4 = (2 * -2) + 4 = -4 + 4 = 0

When x = 3,

y = 2x + 4 = (2 * 3) + 4 = 6 + 4 = 10

Hence, the two solutions are (-2, 0) and (3, 10).

Hence, the answer is C.

You might be interested in

Solve the following equation for x: 2x – 3y = 6.

Ksivusya [100]

Answer:

x=3/2y+3

Step-by-step explanation:

Let's solve for x.

2x−3y=6

Step 1: Add 3y to both sides.

2x−3y+3y=6+3y

2x=3y+6

Step 2: Divide both sides by 2.

2x2=3y+62

x=32y+3

6 0

2 years ago

The dimensions of a wooden bench shaped like a rectangular prism are 6' x 3.5' x 2.5'. What is the volume of the bench in cubic

Dafna11 [192]

Answer:

Step-by-step explanation:

Volume of a rectangular prism

V=l*w*h

V=6*3.5*2.5=52.50 ft^3

8 0

2 years ago

The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.

erma4kov [3.2K]

Answer:

CSA of the cylinder = 440 sq. cm

Volume of the cylinder = 1540 cu. cm

$\\$

Step-by-step explanation:

Given:

Radius of the cylinder = 7 cm
Height of the cylinder = 10 cm

$\\$

To Find:

Curved surface area
Volume

$\\$

Solution:

$\\$

Using formula:

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA \: of \: cylinder = 2\pi rh}}}}}} \: \star \\ \\$

<em>Substituting the required values: </em>

$\\$

$\dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times 22 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 44 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 440 \: {cm}^{2} \\ \\ \\$

Now,

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}= \pi {r}^{2} h}}}}}} \: \star \\ \\ \\$

<em>Substituting the required values, </em>

$\\$

$\dashrightarrow \: \: \sf Volume {(cylinder)}= \dfrac{22}{7} \times {(7)}^{2} \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= \frac{22}{7} \times 49 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 1540 {cm}^{3} \\ \\ \\$

Hence,

CSA of the cylinder = 440 sq. cm

Volume of the cylinder = 1540 cu. cm

8 0

1 year ago

Read 2 more answers

Divide the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of

irina1246 [14]

Let's rewrite the expression correctly:
(12x3 - 11x2 + 22x - 5) / (4x -1)
Dividing the expression between (4x -1) we have:
3x2 - 2x + 5
We can check the result:
(3x2 - 2x + 5) * (4x-1)
= 12x3 - 8x2 + 20x - 3x2 + 2x - 5
= 12x3 - 11x2 + 22x - 5
Division OK.
Answer:
The result of the division is:
3x2 - 2x + 5

5 0

3 years ago

Hey I need help an yall help me?

pychu [463]

Solid A because when u calculate it, it’s shows it’s bigger then Solid B

5 0

2 years ago

Read 2 more answers