The triangles below are congruent. Which of the following statements must be true?

Answer:

f(2)=0. The third option is correct.

Step-by-step explanation:

Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:

f(x)=(x-2)\cdot g(x)

Being g(x) another unknown function.

Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect

Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect

Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct

Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect

Answer:

The answer is Not a line (no constant slope)

Step-by-step explanation:

21/7

-2/-1

78/26

-105/-35

The slope is always different, therefore there is no constant slope!

Hope this helps!

Answer:

1.25

Step-by-step explanation:

because 4 is 5 dollars so thats mean u divide 5 to 4 which that give u 1.25

Answer:

The direct variation equation is y = 6x

Step-by-step explanation:

The direct variation equation is y = kx, where

To find the value of k, use the initial values of x and y

∵ y = 5, y = 30

∵ y = k x

→ Substitute the values of x and y to find k

∵ x = 5 and y = 30

∴ 30 = k (5)

∴ 30 = 5k

→ Divide both sides by 5

∴ [tex]\frac{30}{5}=\frac{5k}{5}[/tex]

∴ 6 = k

→ Substitute it in the form of the equation

∴ y = 6x

The direct variation equation is y = 6x

Answer:

Most likely B.}21 inches,

Please mark me brainliest

Answer:

The answer is B, 21 inches

Step-by-step explanation:

You find what happened with the width which is time 3. Then you multiply 7 by 3 to get 21!

Hopefully that helps! Please mark BRAINILEST

Answer:

5

Step-by-step explanation:

9 x 4 = 36

180/36 = 5

Answer:

4% out of 100

Step-by-step explanation:

4% out of 100 students took the exam

Answer:

$6,000

Step-by-step explanation:

Basically just multiply 25*16 to see how many raffle tickets the class sold in total (400). Then to find the amount of money they raised, multiply 400*15 (6,000).

Answer:

x = 4

Step-by-step explanation:

Original Equation:

-6x + 4 = -20

Subtract 4 from both sides.

-6x = -24

Divide both sides by -6

x = 4

Hope I helped :)

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Answer:

To solve -6 x + 4 = -20, what steps would you perform?

Subtract  

4.

Divide by  

-6.

Step-by-step explanation:

Answer:

It is 1/2

Step-by-step explanation:

the rise is 2

the run is 4

2 over four simplifies to one half

Answer:

-5/2

Step-by-step explanation:

Answer:

it should be D thx

Step-by-step explanation:

Answer:

the radius is 5 ft.

Step-by-step explanation:

radius = 1/2 diameter

10/2 = 5

R= 5

Answer: 5 feet

This one is easy. Because the radius of a circle (or a semicircle) is half of the diameter, you can simply divide the diameter by 2.

Answer:

Mr. McDonald's class raised $6,000 dollars.

Step-by-step explanation:

So they're are 25 students in the class and they each sold 16 raffle tickets. The easiest way to do this problem is to first find the amount of raffle tickets sold and then multiply that by 15. You could also just do 25*16*15 but that doesn't make much sense just thinking about it. So the first operation we have to do is 25*16 because multiplication is repeated addition so we're basically doing 16+16 25 times to see how much raffle tickets were sold. So that is 400 and then we multiply by 15 because each ticket sold for 15 dollars so if we sold 400 raffle tickets for 15 dollars each, again multiplication is repeated addition so we do 15+15 400 times which is 400*15=6,000. So Mr.McDonald's class raised $6,000 dollars.

Answer:

if it is -37 * -8 the answer is 296

Answer:

Huh?

Step-by-step explanation:

It will cost $412.50 for equipment for all stations.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Dan orders supplies for the science lab. Each of the 30 stations in the chemistry lab needs 5 feet of rubber tubing. If rubber tubing sells for $8.25 per yard.

The cost will be calculated as below,

3 feet = 1 yard

5 x 30 = 150 feet

8.25 per yard = cost

150/ 3 = 50 yards (total tubing needed)

50 x 8.25 = $ 412.50

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Answer:

16

Step-by-step explanation:

If the ratio is 3 red marbles to 4 blue marbles we can solve this using the following:

[tex]\frac{12}{b} = \frac{3}{4}[/tex]

[tex]12 * 4 = 3b\\48 = 3b\\\frac{48}{3} = b\\b = 16[/tex]

So we have 16 blue marbles.

Based on the ratio of red to blue marbles, the number of blue marbles in the bag is 16 marbles.

The bag has red marbles to blue marbles in a ratio of 3:4.

If there are 12 red marbles, the number of blue marbles can be found by direct proportion:

3   :   4

12  :   x

Cross-multiply:

3x  = 48

x = 48/3

x = 16 blue marbles

In conclusion, there are 16 blue marbles in the bag.

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Answer:

15 inches

Step-by-step explanation:

If 3 miles represents 5 inches and you want to know what represents 9 miles Just multiply 5*3 to get 15

Answer:

625 / 5 = 125 per day

Step-by-step explanation:

If this helped can I get brainliest I need to rank up.

Answer:

I believe the answer is C

Step-by-step explanation:

66.5 divided by 19 is 3.5 and 7/2 = 3.5

hope this helps

Answer:

It’s 1.5

Step-by-step explanation:

Just divide 2.1 and 1.4

Answer:

-100

Step-by-step explanation:

27-127=-100

Answer:

16 units

Step-by-step explanation:

The perimeter is the sum of the lengths

Add up the lengths as shown

3+2+1+2+3+1+1+3

16 units

Answer:

-0.8

Step-by-step explanation:

hope this helps :3

Answer:

-4/5 for fraction or -0.8 for decimal

Step-by-step explanation:

Answer:

2,3

Step-by-step explanation:

The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.

Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.

The formula for slope of a line that passes through two points (x₁.y₁) and (x₂,y₂) is,

y₂ - y₁ = m(x₂ - x₁)

The given points are, (1, 1) and (7, 5).

The slope of the line is given by formula m = (y₂-y1)/(x₂-x₁)

m= (5-1)/(7-1)

m = 4/6

m = 2/3

The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.

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Answer:

A

Step-by-step explanation:

Notice:  The literal factors are all the combinations of a and b where the sum of the exponents is 4:  a4,  a3b,  a2b2,  ab3,  b4.

The degree of each term is 4.

The first term is actually a4b0, which is a4 · 1.

Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:

(a + b)5 =  ? a5 +  ? a4b +  ? a3b2 +  ? a2b3 +  ? ab4 +  ? b5

The question is, What are the coefficients?

They are called the binomial coefficients.  In the expansion of

(a + b)4, the binomial coefficients are

1  4  6  4  1

The coefficients in the expansion are 1, 4, 6, 4, 1.

The sum of exponents of x and y is always n. The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. [tex]^nC_0[/tex]= [tex]^nC_n[/tex], [tex]^nC_1[/tex]= [tex]^nC_{n-1}[/tex], [tex]^nC_2[/tex]= [tex]^nC_{n-2}[/tex] ,….. etc.

The expansion of [tex](x+ y)^4[/tex]

= [tex]x^4[/tex] + 4x³y + 6x²y² + 4xy³ + [tex]y^4[/tex]

So, the highest degree is 4.

and, The literal factors are all the combinations are  [tex]x^4[/tex], 4x³y, 6x²y², 4xy³,[tex]y^4[/tex]

Hence, the coefficients in the expansion are 1, 4, 6, 4, 1.

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Step-by-step explanation:

16. d-4 = -7

or, d = -7+4

or, d = -3

therefore, d = -3.

17. c-34 = 20

or, c = 20+34

or, c = 54

therefore, c = 54

18. a-4 = -18

or, a = -18 + 4

or, a = -14

therefore, a = -14

19. r-3 = 8

or, r = 8+3

or, r = 11

therefore, r = 11

20. z-100 = 100

or, z = 100+100

or, z = 200

therefore, z = 100

21. 5 = d - 1

or, 5+1 = d

or, 6 = d

or, d = 6

therefore, d = 6