2. Perform the following operations to find the terms to complete the blanks.
- 1
Part A: (a - 1)(1 + a + a²) =
- 49
Part B: [(x - y) + 7][(x - y) - 7] =
(y2 – 3x)
Part C: -5(3y+ - 4y2 + 7x)(y2 – 3x) =
+ 105x2
= -15y +
Part D: (3m - 2n)3 = (9m2 - 12mn +4n?).
= 27m3 -
+
- 8n3

Answer:

40°

X=11

I can't give you a very good explanation because I'm

only a freshman lol, I only studied so far in this stuff so I think ill stick to questions like this that give me side lengths and require an angle.

Anyways, hope this helped!

Answer:

Step-by-step explanation:

f(x) = 4x² + 7

To find f(-3) substitute the value of x that's - 3 into f (x) that's replace every x in f (x) by - 3

We have

f(-3) = 4(-3)² + 7

= 4(9) + 7

= 36 + 7

We have the final answer as

Hope this helps you

Answer: Graph shifts 4 units to the left

Explanation:

I'm assuming you meant to say y = |x+4|

If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.

Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|

Answer:

4 yards per carry

Step-by-step explanation:

16x = 64

x = 4

Answer:  4 yards per carry

Step-by-step explanation:

To get  from yards per carry divide the number of carries by itself to reduced  it to one and the same as you will divide the yards by 64 too.

64 = 16  

4 = 1

Answer:

100000000000 times

Step-by-step explanation:

Given

Diameter of Dish = 0.00001 km

Diameter of Bacterium = 10⁻¹⁶ km

Required

Determine the number of times the diameter of dish is bigger than that of the bacterium

To solve this, we simply divide the diameter of dish by the diameter of the bacterium as follows

[tex]Ratio = \frac{Dish}{Bacterium}[/tex]

[tex]Ratio = \frac{0.00001}{10^{-16}}[/tex]

[tex]Ratio = 100000000000[/tex]

Hence, the diameter of the dish is 100000000000 times larger than the diameter of the bacterium

Answer:

0.1

Step-by-step explanation:

(1/2)/5 = 0.1

Answer:

Step-by-step explanation:

1/2 x 1/5 = 1/10

Answer:

y = 35    x = 39

Step-by-step explanation:

Let large no = x and small no = y

According to the question,

x = 4 + y ------ (1)

x + y = 74 -------- (2)

Substituting (1) in (2)

( 4 + y ) + y = 74

4 + 2y= 74

2y = 74 -4

y = 70 / 2 = 35

x = 4 + y

  = 4 + ( 35 )

   =  39

Answer:

A.   10x -17

Step-by-step explanation:

5x-7,  3x-4, and 2x-6.

combine like terms

5x-7 + 3x-4 + 2x-6

5x + 3x + 2x - 7 -4 - 6

10x -17

therefore the answer is A.  10x -17

Answer:

1B 2D 3E 4A 5C

Step-by-step explanation:

For integer, whole and natural numbers, check this link out.

0.050505.. is repeating decimal, therefore it's a rational number

√19 is irrational number because 19 is not a square number.

Answer:

1. b

2. d

3. e

4. a

5. c

hope it helps

Answer:

5 friends

Step-by-step explanation:

Candy pieces = 60

Chocolate = 45

What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?

To calculate this, find the lowest factor of 60 and 45

60:

Factors = 2, 4, 5, 6,

45:

Factors= 3, 5, 9

The lowest common factor of 60 and 45 is 5

The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5

That is

If there are 5 friends at the birthday party

60 candy pieces among 5 friends

= 60/5

= 12 pieces each

45 chocolate among 5 friends

= 45/5

= 9 each

Answer:

1) 200 2) 7 3) 12.5

Step-by-step explanation:

For god's sake, use a calculator

Answer:

square root of 81

Step-by-step explanation:

[tex] \sqrt{81} = 9[/tex]

so 9 is rational number.

the rest are irrational number

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:yes

Answer:585.......

Step-by-step exampel:

Answer:

10500 calories

Step-by-step explanation:

[tex]1\: ounce = 218.75 \: calories\\[/tex]

Answer:

9

Step-by-step explanation:

the absolute value makes everything positive

3 * 3  = 9

Answer:

6

Step-by-step explanation:

First, make an equation out of this diagram. Replace the coin pouches with the variable of x, and replace the number of coins with numerical values. You get the equation 2x + 21 = 5x + 3. Subtract 3 from both sides to get 2x + 18 = 5x. Then, subtract 2x from both sides to get 3x = 18. Divide both sides by 3 to get 6 coins per pouch.

We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply

1/12 divided by 1/6 = 1/12 * 6/1

-------

From here we multiply straight across.

The numerators multiply to get 1*6 = 6

The denominators multiply to 12*1 = 12

We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6

Answer:

this is the answer

Step-by-step explanation:

the one where the lines are at 6,8,1

Answer:

boom math

Step-by-step explanation:

Answer:

a. yes

b. no

c. yes

d. yes

e. yes

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Answer:

a. yes  

b. no  

c. yes  

d. yes  

e. yes  

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Answer:

Option (C)

Step-by-step explanation:

From the graph attached,

In ΔABC and ΔA'B'C',

∠A ≅ ∠A'

∠B ≅ ∠B'

Therefore, ΔABC ~ ΔA'B'C'

Corresponding sides of these triangles will be proportional.

[tex]\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}=\frac{2}{6}[/tex]

Therefore, ratio of the sides, AC : A'C' = 1 : 3 shows that image triangle A'B'C' is a dilated form of pre-image ABC with a scale factor of 3.

Option (C) will be the correct option.

Answer:

9/10

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The given points are A(−3,−1), B(−3,2), C(6,9), and D(3,9).

Plot these points on a coordinate plane as shown in the below graph.

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using this formula, we get

[tex]AB=\sqrt{(-3-(-3))^2+(2-(-1))^2}[/tex]

[tex]AB=\sqrt{(0)^2+(3)^2}[/tex]

[tex]AB=3[/tex]

[tex]CD=\sqrt{(3-6)^2+(9-9)^2}[/tex]

[tex]CD=\sqrt{(-3)^2+(0)^2}[/tex]

[tex]CD=3[/tex]

Since AB=CD, therefore the required answer is yes, AB and CD are congruent.

Answer:

400,000

Step-by-step explanation:

Tel Aviv Population (2013) - 413,000

413,000 rounded to nearest hundred-thousand = 400,000

Final sum= 400,000. Hope this helps!

Answer: 400,000

The population of Tel Aviv in 013 was 413,000.

We have to round this number to the nearest 100,000.

We get 400,000, so it is the answer.

Answer:

5

Step-by-step explanation:

The number of pounds of apples that she can buy will be 5.88 pounds.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Apples are on sale for $0.85 per pound. Darla has a $5 bill.

The number of pounds of apples that she can buy will be calculated as,

⇒ $5 / $0.82

⇒ 5.88 pounds

The number of pounds of apples that she can purchase will be 5.88 pounds.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

21

Step-by-step explanation:

why do you use points when you could literally just search it up

Answer:

1

Step-by-step explanation:

Adding the same positive numbers will always give you the same answers, right here all your doing is switching the 9 and the 1 ... so 1