All categories

3 years ago

Topic 5: Parallel. Perpendicular, or neither?!

1 answer:

4 0

19. Slope AB = (-8 - -11)/ (4 - 5) = 3/-1 or -3/1
CD = (-1 - 8)/ (-4 - -7) = -9/3 or -3/1
Since the slopes are the same, they are parallel

20. Slope AB = (1 - -3)/ (15 - 8) = 4 /7
CD = (3 - 10)/ (-5 - -9) = -7/4
They are opposite signs and reciprocals so they are perpendicular

21. Slope AB = (9 - 9)/(4 - -3) = 0/7 = 0 so it’s a vertical line
CD = (-2- -2)/ (6 - 10) = 0/-4 = 0 so it’s also a vert. Line
They are parallel.

You might be interested in

Mark is treating his family to ice cream. He buys 4 sundaes and 3 cones for a total of $26. Brian also buys ice cream for his fa

Elina [12.6K]

<span>Jesse loves to make cookies. She makes chocolate chip cookies 4 out of every 5 times she makes cookies. If she makes cookies 55 times, how many times will she not make chocolate chip cookies?</span>

4 0

3 years ago

The graph below is based on data collected from a sixth grade class.

KiRa [710]

<h2>Answers :</h2>

a) There are <u>5 subjects</u> in Grade six.

b) 5+7+4+4+5 = There are <u>2</u><u>5</u><u> </u><u>students</u><u> </u> in Grade six.

c) My favourite subject is <u>Maths</u>.

d) My classes start at <u>12 noon.</u>

The question can be :

<h3>What is the class schedule, number of students and subjects in Grade 6? </h3>

8 0

3 years ago

Read 2 more answers

13. Solve 2/3 + 5/6 and put answer in simplest<br> form.<br> O A. 11/2<br> B.<br> c. 76<br> D.776

Tamiku [17]

Answer:

3/2 or 1 + 1/2

i havent done fractions in a long time but this is what i got from memory

you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2

8 0

3 years ago

Explain the role of the GCF in factoring a polynomial.

Ahat [919]

1. GCF is a factor that is shared by all terms within a polynomial for example, if we have a polynomial of the form A*B + A*C, the GCF is A since both terms have A as a factor 2. after we factor out the GCF, it is placed outside the parentheses, in front of the rest of the polynomial. using our previous example, A*B+A*C = A(B+C) 3. we can verify that our factoring is correct by distributing the GCF to the polynomial within the parentheses

5 0

3 years ago

Fifty pro-football rookies were rated on a scale of 1 to 5, based on performance at a training camp as well as on past performan

son4ous [18]

Answer:

(a-1) 22 rookies receiving a rating of 4 or better.

(a-2) 14 rookies received a rating of 2 or worse.

(b-1) Constructed below in explanation.

(b-2) 8% of total rookies received a rating of 5.

Step-by-step explanation:

We are provided the rating of Fifty pro-football rookies on a scale of 1 to 5 based on performance at a training camp as well as on past performance.

The frequency distribution constructed is given below:

Rating Frequency

1 4

2 10 where ranking of 1 indicate a poor prospect whereas

3 14 ranking of 5 indicate an excellent prospect.

4 18

5 4

(a-1) Rookies receiving a rating of 4 or better = Rating of 4 + Rating of 5

So, by seeing the frequency distribution 18 rookies received a rating of

4 and 4 rookies received a rating of 5.

Hence, Rookies receiving a rating of 4 or better = 18 + 4 = 22 rookies.

(a-2) Number of rookies received a rating of 2 or worse = Rating of 2 +

Rating of 1

So, by seeing the frequency distribution 10 rookies received a rating of

2 and 4 rookies received a rating of 1.

Hence, Rookies receiving a rating of 2 or worse = 10 + 4 = 14 rookies.

(b-1) Relative Frequency is calculated as = Each frequency value /

Total Frequency

Rating Frequency(f) Relative Frequency

1 4 4 / 50 = 0.08

2 10 10 / 50 = 0.2

3 14 14 / 50 = 0.28

4 18 18 / 50 = 0.36

5 <u> 4 </u> 4 / 50 = 0.08

$\sum f$ <u>= 50 </u>

Hence, this is the required relative frequency distribution.

(b-2) To calculate what percent received a rating of 5 is given by equation :

<em> x% of 50 = 4 </em> {Here 4 because 4 rookies received rating of 5}

x = $\frac{4*100}{50}$ = 8% .

Therefore, 8% of total rookies received a rating of 5.

5 0

4 years ago