MATHEMATICS HIGH SCHOOL

What is the scale factor from ABC to DEF?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = $(EF)/(BC)$ = $(11)/(66)$ = $(1)/(6)$ → C

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What is the difference of the polynomials? (8r6s3 – 9r5s4 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

Answers

To answer the question above, distribute the negative sign to the subtrahend and combine like terms.
8r6s3 - 9r5s4 + 3r4s5 - 2r4s5 + 5r3s6 + 4r5s4
Combining like terms
8r6s3 + (-9r5s4 + 4r5s4) + (3r4s5 - 2r4s5) + 5r3s6

Simplifying the expressions will give an answer of,

8r6s3 - 5r5s4 + r4s5 + 5r3s6

The difference of the polynomials $(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)$ is $8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6$

How to determine the difference?

The expression is given as:

$(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)$

Open the bracket

$8r^6s^3 - 9r^5s^4 + 3r^4s^5 - 2r^4s^5 + 5r^3s^6 + 4r^5s^4$

Collect like terms

$8r^6s^3 - 9r^5s^4 + 4r^5s^4 + 3r^4s^5 - 2r^4s^5 + 5r^3s^6$

Evaluate the like terms

$8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6$

Hence, the difference of the polynomials $(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)$ is $8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6$

Answers

Hello,

The multiples of 7 are 7,14,21,28,35,42,49 : 7 balls
The multiples of 5 are 5,10,15,20,25,30,35,40,45,50 :10 balls
In total there are 50 balls
But there is a commun ball 35

p=(7+10-1)/50=16/50=8/25=0.32

The Surf Shop gives surfinglessons to 72 people. If the
shop gives lessons to groups
of 5 people, how many total
groups will there be?

Answers

Answer:

Step-by-step explanation:

Just divide 72 by 5 because of there being 72 total peoples and them being DIVIDED into groups of 5.

72/5=14.4

Though you cant have a .4 group of people, so there would be 15 groups.

2(b-3)=
help me i need this done in 20 minutes

Answers

Answer: 2b + -6

Step-by-step explanation: To simplify, we will use the distributive property.

Before distributing, I would change the -3 to plus a negative 3.

So we have 2(b + -3).

Now, distributing the 2 through the parenthses, we have 2(b) + 2(-3).

2(b) is 2b and 2(-3) is -6.

So we have 2b + -6 as our final answer.

Answer:

2b - 6

Step-by-step explanation:

2(b-3)=

Distribute

2*b - 2*3

2b - 6

In the paper airplane shown , ABCD =EFGH, M

Answers

The answer is d because angle b is a 90 degree angle (because it is as corner of paper); angle c is also 90 (it's given); and angle a is 143 (also given). You add all three up and get 323. Subtract 323 from 360 (because 360 is how many degrees that are in a quadrilateral) and the answer is 37

Jared made 12 3/4 cups of snack mix for a party.His guests ate 2/3 of the mix.How much snack mix did his guest eat?