What is the volume of the prism?

Answer:

33

got it right no egd ngknggingwekvnskne

Answer:

[tex](y+7)(y-3)[/tex]

Step-by-step explanation:

To factorize [tex]y^2+4y-21[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -21=-21[/tex]

[tex]b=4[/tex]

Therefore, the 2 numbers that multiply together to give -21 and add together to give 4 are:  7 and -3

[tex]\implies y^2+7y-3y-21[/tex]

[tex]\implies (y^2+7y)+(-3y-21)[/tex]

Factor the parentheses:

[tex]\implies y(y+7)-3(y+7)[/tex]

Factor out the common term [tex](y+7)[/tex]:

[tex]\implies (y+7)(y-3)[/tex]

Answer is A I just did this

Answer:

Step-by-step explanation:

We have to convert m to km and we have to add to find the total distance walked.

1000m = 1 km

350 m = 350 ÷ 1000 = 0.35 km

Total distance = 3.15 + 0.35

                        = 3.50 km

Answer:

Step-by-step explanation:

f(1)=17

f(n)=f(n-1)+8.5

n           f(n)=f(n-1)+8.5                                                                          f(n)

1             f(1)=17                                                                                       17

2           f(2)=f(1)+8.5 =17+8.5=25.5                                                    25.5

3            f(3)=f(3-1)+8.25=f(2)+8.25=25.50+8.5=34                            34

4            f(4)=f(3)+8.25 =34+8.5=42.5                                                42.5

Answer:

$ 204

Step-by-step explanation:

f(x)=8(x-2)

if i did this right then you would substitute 30 in for x------------8 (30-2) - 20

next you would multiply 8 times 30 and 8 times -2 and you would get 240-16-20

then you would subtract and get....................... 204

hope this helps if not then pls know that i tried

Answer:

[tex](x + 4)(x + 5)[/tex]

[tex]x \times x + 5x + 4x + 4 \times 5[/tex]

[tex]x {}^{2} + 5x + 4x + 20[/tex]

[tex]x {}^{2} + 9x + 20[/tex]

The standard form of the expression (x+4)(x+5) is  x²+9x+20.

An expression is combination of variables, numbers and operators.

The given expression is (x+4)(x+5)

x is the variable in the given expression.

We have to multiply and simplify the expression.

Let split the expression as below.

x(x+5)+4(x+5)

Apply the distributive property

x²+5x+4x+20

Combine the like terms

x²+9x+20

x²+9x+20 is the standard form of the expression (x+4)(x+5)

Hence, the standard form of the expression (x+4)(x+5) is  x²+9x+20.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

Step-by-step explanation:

To get  how far up the tree that Mr. Jones tied the rope, we will use the Pythagoras theorem since a right angle is created with the rope and the base of the tree.

The length of the rope will be the hypotenuse

The distance up the tree and away from the base will be the opposite and adjacent.

Given

length of the rope = 8feet

Distance away from the base of the tree = 6ft

According to Pythagoras;

hyp² = opp²+adj²

8² = opp²+6²

opp² = 8²-6²

opp² = 64-36

opp² = 28

opp = 5.3 feet

Hence the Mr Jones tied the rope 5.3feet above the tree. Option C is correct

Answer:

Please post the question! or at least the lengths of the triangle, so that I can help you!

Step-by-step explanation:

Answer:

$581.90

Step-by-step explanation:

5819/25 = 232.76

232.76 x $2.50 = $581.90

Answer:

A)

Step-by-step explanation:

volume of old box is 8·3·11 which is 264 cubic inches

volume of new box is 10·10·3 which is 300 cubic inches

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

We know that:

And point B is between these two, such that:

OA/BA = 3

Meaning, OA is 3 times BA.

Now, if we apply a factor of 1/3 to point A, we get:

(12/3, 36/3) = (4, 12)

So, the distance between A and B is equal to the distance between the origin and (4, 12) (a change of 4 units in the x-component and 12 units in the y-component).

The point that meets that condition is (8, 24), which is given by multiplying by 2 the previous coordinates.

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

If you want to learn more about distance, you can read:

https://brainly.com/question/7243416

he greatest common factor of 7x^4y^2 - 12x^3y^3 is the greatest number that can divided both terms of the expression

The greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2

The expression is given as:

7x^4y^2 - 12x^3y^3

Factor out x^3

x^3(7xy^2 - 12y^3)

Factor out y^2

x^3y^2(7x - 12y)

The first factor of the expression represents the greatest common factor of 7x^4y^2 - 12x^3y^3

Hence, the greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2

Read more about greatest common factors at:

https://brainly.com/question/723406

Answer:

4.8

Step-by-step explanation:

Other app= 10.01 - 5.21 = 4.8

The answer is 4.8kb

Hope this helps :)

Have a nice day!

Answer:

10,000. Thanks!

Step-by-step explanation:

Answer:

Absolute value represents the distance from zero when graphed on a number line. For example, the number 7 is 7 units away from zero. ... A number and its additive inverse are always the same distance from zero, and so they have the same absolute value.

Step-by-step explanation:

HOPE IT HELPS . JENITA , PLS MARK AS BRAINLIEST

Answer:

Step-by-step explanation:

2m=8

m=4

m²+1=16+1=17

m²-1=16-1=15

Therefore the Pythagorean triplets are 8,15 and 17. Here 8 is the smallest member.

Answer:  8, 15, 17

This is something you get through trial and error, or you could have memorized this particular triple.

Note how 8^2+15^2 = 17^2

Answer:

the answer to your question is 0.857

Answer:

The answer is B. $80.50

Step-by-step explanation:

I got it right on my quiz ;)

Answer:

B

Step-by-step explanation:

0.35*230 = 80.50

Answer:

-84, -71, -58, -45, -32, -19

Step-by-step explanation:

Answer:

1 is y=-1/3x. 3 is y=-3/2x. 5 is y=5/3x

Step-by-step explanation:

Simply count the vertical lengths. Meaning count up or down how ever many. That is your top number. Then count your horizontal lengths, meaning left or right, this your bottom number of the slope. So if point A is at (-1,-1) in example 1, then count down 1, and right 3 spaces. Because you go down, the slope is negative, and you went down 1, so the top number is 1, you went right 3 units, so the bottom number is 3.

Answer:  #1.  104 % increase  #2. 15%   #3. 1%increase  #4 150%  .......

if you want the rest just tell me kk

Step-by-step explanation:

you have to minus each number like for example  92 and 45   and divide what ever  you got from 92 and 45 and its 47 so divide 47 from 45 and youll get 104 but have to round.

Answer:

19/21 is better.

Step-by-step explanation:

To find which is better, you need to divide the numerator by the denominator.

27 divided by 32 is equal to 0.84375

19 divided by 21 is equal to 0.9

0.9 is greater than 0.84375, so 19/21 is better.

Answer:

Its 8

Step-by-step explanation:

Answer:  10x - 9

Step-by-step explanation:

1. RM = 4x+3,  MS = 6x - 12             Given

2. RM + MS = RS                              Segment Addition Property

3. (4x+3) + (6x-12) = RS                    Substitution

4. 10x - 9 = RS                                  Add like terms

Answer:

2

Step-by-step explanation:

Answer: B or 2

Step-by-step explanation:

Answer:

b>9

Step-by-step explanation:

Answer:

b > 9

Step-by-step explanation:

Inequalities represent the value of a variable in relation to other numbers.

Solving the Inequality

The properties of equality state that if you add or subtract a number from both sides, the statement remains true. This means that we can isolate the variable by using the properties of equality.

Understanding the Answer

The answer to the inequality is b > 9. This means that the variable must be greater than 9. So, values such as 10 or 100 could all be solutions. However, remember that 9 itself is not a solution. The inequality only accounts for values greater than 9, not equal to.

Answer:

2 × g = 38

Step-by-step explanation:

A product refers to multiplication.

Hope this helps~! Brainliest is appreciated!