Factor x^2+8x+15
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There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.

In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².

In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².

In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².

In any case, the area of the shape is 22 m².

The solution of the given equation (x + 4)(x - 3) = -10 is -2.

Thus, option C is correct.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

Here, 4 and 12 are constants and x is variable

Given equation:

Multiply the brackets,

(x + 4)(x - 3) = -10

[tex]x^2-3x+4x-12 = -10[/tex]

x^2 +x -12+10 =0

x^2 +x -2=0

x(x+2)-1(x+2)=0

(x+2)(x-1)=0

x= -2, x=1

Thus, option C is correct.

Learn more about equations here :

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Answer: the answer is A

Step-by-step explanation:

u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)

Math,social studies,science, etc

Answer:

28 units sqr

Step-by-step explanation:

Area of Rectangle

A= Lw = 8(4) = 32

Area of Triangle

A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4

32- 4 = 28 units sqr

Answer:

75°,

mUV = 105°, the other 2 are both 75°. This means mTU = 75°

Answer:

The decay rate is of 0.05 = 5% per minute.

Step-by-step explanation:

Continuous exponential decay model:

The exponential equation of decay for an amount, after t units of time, is given by:

[tex]A(t) = A(0)e^{-rt}[/tex]

In which A(0) is the initial amount, e(approx 2.72) is the Euler value and r is the decay rate, as a decimal.

A pizza is removed from the oven at a temperature of 425 F.

This means that [tex]A(0) = 425[/tex]

After 15 minutes, the pizza has cooled to 200°F.

This means that [tex]A(15) = 200[/tex], that is, when [tex]t = 15, A(t) = 200[/tex]

We use this to find r.

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]200 = 425e^{-15r}[/tex]

[tex]e^{-15r} = \frac{200}{425}[/tex]

[tex]\ln{e^{-15r}} = \ln{\frac{200}{425}}[/tex]

[tex]-15r = \ln{\frac{200}{425}}[/tex]

[tex]r = -\frac{\ln{\frac{200}{425}}}{15}[/tex]

[tex]r = 0.05[/tex]

The decay rate is of 0.05 = 5% per minute.

Answer:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

140

∘

Each interior angle of regular polygon of n sides is given by  

n

180(n−2)

​

 degree

∴ each interior angle =

9

180(9−2)

​

degree

=20×7

=140

Answer:

Step-by-step explanation:

Radius r = 12.5/2 = 6.25 cm

Height h = 7 cm

volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer: thats the answer

Step-by-step explanation:

Answer:B, C and D are all correct

Step-by-step explanation:

Because, A. 3 (5 + b)

B. 5 (b + 3)

C. 5b + 15

D. 15 + 5b

E. 3 ⋅ 5 + 3b

Answer:

32

Step-by-step explanation:

Answer: 452 students

25 x 18 = 450 + 2= 452

Answer:

C

Step-by-step explanation:

Correct on edge 2020

Answer:

x = 1.5

Step-by-step explanation:

8x + 8 - 3x - 12 = 14 - 7x

5x - 4 = 14 - 7x

-4 = 14 - 12x

-18 = -12x

x = 18/12 or 3/2

Answer:

[tex]A(t) = 600(1.035)^8[/tex]

The ending balance is of $790.1.

Step-by-step explanation:

Compound interest:

The amount of money earned after t years, in compound interest, is given by:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

$600 that earns 3.5% compound interest over 8 years

This means, respectively, that:

[tex]A(0) = 600, r = 0.035, t = 8[/tex]

So, the formula is:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

[tex]A(t) = 600(1+0.035)^{8}[/tex]

[tex]A(t) = 600(1.035)^8[/tex]

Ending balance:

The ending balance is:

[tex]A(t) = 600(1.035)^8 = 790.1[/tex]

The ending balance is of $790.1.

Answer:

32.2 feet

Step-by-step explanation:

Answer:

32.2

Step-by-step explanation:

Answer:

5.25

alternate form

21/4,5/¼

Answer:

1.4/10=2/5

2.4/8=1/2

3.8/12=2/3

4.7/5=14/10

5.1/3=2/6

9514 1404 393

Answer:

  G.  84.5 cm

Step-by-step explanation:

Assuming the lateral area is 6760π cm², we can find the height from ...

  A = 2πrh

  r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm

The radius of the can is 84.5 cm.

Answer:

A. Yeah

Step-by-step explanation:

Answer:

$ 602.7

Step-by-step explanation:

2009$ x 30% = 602.7

Answer:

it would become 61

Step-by-step explanation:

the tenths place (.9) is greater or equal to five. if it follows the rule, the tens place (0) would increase by one.

Answer:

[tex]4x^2 -4x - 48 = 0[/tex]

Step-by-step explanation:

Given

[tex]x= -3 \ or\ 4[/tex] -- roots

[tex]n= 4[/tex] --- leading coefficient

Required

Calculate the quadratic equation

[tex]x= -3 \ or\ 4[/tex]

Split to 2:

[tex]x = -3\ or\ x = 4[/tex]

Equate both to 0

[tex]x +3 = 0\ or\ x - 4= 0[/tex]

Multiply both together:

[tex](x + 3) * (x - 4) = 0 * 0[/tex]

[tex](x + 3) * (x - 4) = 0[/tex]

[tex]x^2 -4x +3x - 12 = 0[/tex]

[tex]x^2 -x - 12 = 0[/tex]

Multiply both sides by the leading coefficient, n

[tex]n * [x^2 -x - 12] = 0 * n[/tex]

[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]

[tex]4 * [x^2 -x - 12] = 0[/tex]

Open brackets

[tex]4x^2 -4x - 48 = 0[/tex]

Answer:

16

Step-by-step explanation:

This is because the ratio of black to white can be set up as 1/4, for every one black bead there is 4 white so what is 1/4x that equals 4? simple, x=16 because 16/4 equals to 4 so it would be 4 black beads to 1 white bead.

Answer:

hi

Step-by-step explanation:

1. The area formulas for a triangle and a parallelogram require multiplying base by height.

true

2 .A triangle and parallelogram with the same base and height will have the same area.

false

3. A rectangle and parallelogram with the same base and height will have the same area.

true

4. The area formula of a trapezoid requires finding the product of the bases.

false

5. The base of a triangle is always the shortest side.

false

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

9.1 h + 11.6 t = 9.98(60)

9.1 h + 11.6 t = 598.8 ........ (1)

h + t = 60 ........ (2)

h = 60 - t

9.1(60 - t) + 11.6 t = 598.8

546 - 9.1 t + 11.6 t = 598.8

2.5 t = 52.8

t = 52.8 ÷ 2.5 = 21.12 ≈ 21 (lb.)

h = 60 - 21.12 = 38.88 ≈ 39 (lb.)