MATHEMATICS HIGH SCHOOL

Which of the following is the equation of a line parallel to the line y=3x+2, passing through the point (10,1)?A. 3x - y=29
B. 3x + y=29
C. -3x - y=29
D. 3x + y=29

Answers

Answer 1
Answer: k:y=3x+2\nl:y=mx+b\n\nk\ ||\ l\iff m=3\n\nl:y=3x+b;\ (10;\ 1)\n\n3\cdot10+b=1\n30+b=1\nb=1-30\nb=-29\n\nl:y=3x-29\to 3x-y=29\n\nAnswer:A.
Answer 2
Answer:

Answer:

A. 3x - y=29

Step-by-step explanation:

Just got it right on quiz, I hope this helped!! <3

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Please help me with this one
10x+5y=72
15x+4y=80

Answers

I hope this helps you
Problem: Solve 10x+5y=72;15x+4y=80 Steps: I will try to solve your system of equations. 10x+5y=72;15x+4y=80 Step: Solve10x+5y=72for x: 10x+5y+−5y=72+−5y(Add -5y to both sides) 10x=−5y+72 10x 10 = −5y+72 10 (Divide both sides by 10) x= −1/2 y+36 5 Step: Substitute −1 2 y+ 36 5 forxin15x+4y=80: 15x+4y=80 15( −1 2 y+ 36 5 )+4y=80 −7 2 y+108=80(Simplify both sides of the equation) −7 2 y+108+−108=80+−108(Add -108 to both sides) −7 2 y=−28 −7 2 y −7 2 = −28 −7 2 (Divide both sides by (-7)/2) y=8 Step: Substitute8foryinx= −1 2 y+ 36 5 : x= −1 2 y+ 36 5 x= −1 2 (8)+ 36 5 x= 16 5 (Simplify both sides of the equation) Answer: x=16/5 and y=8

What is the prime factorization of 44?4 x 11
2 x 22
2 x 2 x 11
2 x 2 x 2 x 5

Answers

The prime factorization of 44 is C, 2x2x11 since all of these numbers (2 and 11) are prime numbers. 4 is not prime, so that rules out A, 22 is not prime, so that rules out B, and 2x2x2x5 equals 40, not 44, which rules that out.

Answer:

2x2x11

Step-by-step explanation:

A mad scientist develops a new memory pill and wishes to test it on a group of 11th grade students. He has a large number of sugar pills manufactured that look and taste exactly like the memory pills. He asks the manufacturer to prepare 50 envelopes, each containing a month's worth of doses of the memory pills, and 50 more envelopes with the same doses of sugar pills.The manufacturer then randomly labels the 100 envelopes with numbers from 00 to 99 and delivers them to the scientist. It has recorded which numbers go with the real pills, but it doesn't tell him. Which of the following adjectives describes this experiment?

A. Double-blind
B. Explanatory
C. Hawthorne
D. Blocked
E. Multi-factor

Answers

The adjective that best describes the experiment listed in detail above would be double-blind. This is because both the mad scientist and the manufacturer are both blind to each other's experiments.

Answer:  Double-blind


Step-by-step explanation:

The adjectives describes this experiment is " Double blind "

An experimental study in which neither the subjects nor the experimenters know which subjects are in the test and control groups during the actual course of the experiments is known as double blind.

In the given situation, the mad scientist and the manufacturer are not related or they are both blind to each other's experiment.

Darin wrote 1 1/3 as a sum of three fractions.None of the fractions had a denominator of 2.What fractions might Darin have used?

Answers

The fractions Darin might have used are 1/3, 2/3 and 1/3.

What are fractions?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

What could the fractions be?

The sum of the three fractions has to be 1 1/3. The possible fractions are 1/3, 2/3 and 1/3.

To learn more about fractions, please check: brainly.com/question/915789

What is the slope (-4,20) (-10,-17)

Answers

Answer:

The slope is 37/6

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m= (-17-20)/(-10+4)

m= (-37)/(-6)

m= 37/6

Area of a Trapezoid = 791 square cm. Base 1 = 26.5cm, Base 2 = 30cm. What is the height?

Answers

A=1/2(h)(b1+b2)
791=1/2(h)(26.5+30)
791=1/2(h)(56.5)
1582=(h)(56.5)
28=h
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