Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100

A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)

Answer:

Step-by-step explanation:

 Slope = 3.200/2.000 = 1.600

 x-intercept = 5/8 = 0.62500

 y-intercept = 5/-5 = 1/-1 = -1.00000

Answer: 17%

Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

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Answer:

(3, - 1)

Step-by-step explanation:

We want to solve the system of equations:

2*x - y = 7

x - 2*y = 5

graphically.

To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:

y = -7 + 2*x

y = -(5/2) + x/2

Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.

Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.

Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

Answer:

Step-by-step explanation:

Use proportions to solve this and the similarity from smaller side to corresponding larger side:

[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:

1050 = 25(4x + 10) and

1050 = 100x + 250 and

800 = 100x so

x = 8

Answer:

805

Step-by-step explanation:

Answer:

d. 84 yd

Step-by-step explanation:

[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

Answer:

[tex] k = 24 \sqrt{2} [/tex]

Step-by-step explanation:

Given is a 45° - 45° - 90° triangle.

According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.

[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24*[tex]\sqrt{2}[/tex] =k*1

24[tex]\sqrt{2}[/tex] =k

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

Answer:

The probability is 0.08[tex]\overline 3[/tex]

Step-by-step explanation:

The choice of bread Dr Porterfield has = Pink, purple

The number of types of breads = 2

The choices of meat = Ham, turkey, beef

The number of types of meat = 3

The choice of cheese = American, Swiss, Portuguese, Japanese

The number of types of cheese = 4

The probability of selecting purple bread from pink or purple = 1/2

The probability of selecting beef or turkey from the 3 choices of meat = 2/3

The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4

Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

I say electrons

Step-by-step explanation:

It has more electrons than protons so it becomes - charged

Answer:

Step-by-step explanation:

This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have

[tex]17^2+19^2=c^2[/tex] which simplifies to

[tex]289+361=c^2[/tex] and

[tex]650=c^2[/tex] and

c = 25.5"

Answer:

Loss of $.35

Step-by-step explanation:

Income per t-shirt = 1302/120 = 10.85

Expense per t-shirt = 1344/120 = 11.20

Loss per t-shirt = 11.20 - 10.85 = .35

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

The hourly rate of plumber T is $87 per hour and have an initial cost of $41.

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial amount.

From the table, using points (1, 128) and (2, 215):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-128=\frac{215-128}{2-1}(x-1)\\ \\y= 87x+41[/tex]

The hourly rate of plumber T is $87 per hour and have an initial cost of $41.

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

Initial cost: $ 41

Rate per hour: $87

Equation: y=87x+41

Step-by-step explanation:

Sorry I do not know the difference in cost.

Answer:

9 + 10 + 11

Step-by-step explanation:

guess and check

Answer:

9,10,and 11

Step-by-step explanation:

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

Answer:

2 cm

Step-by-step explanation:

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(44=6x-1+9x.-5)

We move all terms to the left:

(44-(6x-1+9x.-5))=0

We add all the numbers together, and all the variables

(44-(6x+9x.-6))=0

We calculate terms in parentheses: +(44-(6x+9x.-6)), so:

44-(6x+9x.-6)

determiningTheFunctionDomain

-(6x+9x.-6)+44

We get rid of parentheses

-6x-9x.+6+44

We add all the numbers together, and all the variables

-6x-9x.+50

Back to the equation:

+(-6x-9x.+50)

We get rid of parentheses

-6x-9x.+50=0

We move all terms containing x to the left, all other terms to the right

-6x-9x.=-50