MATHEMATICS HIGH SCHOOL

Choose the equation below that represents the line passing through the point (-3,-1) with a slope of 4.A) y = 4x - 11
B) y = 4x + 11
C) y = 4x + 7
D) y = 4x - 7

Answers

Answer 1

Answer:

Answer:

The answer is the option B

$y=4x+11$

Step-by-step explanation:

we know that

The equation of the line into slope point form is equal to

$y-y1=m(x-x1)$

in this problem we have

$m=4$

$point(-3,-1)$

substitute

$y-(-1)=4(x-(-3))$

$y+1=4(x+3)$ ---> equation of the line into slope point form

isolate the variable y

$y=4x+12-1$

$y=4x+11$ ---> equation of the line into slope intercept form

Answer 2

Answer:

Answer: B) y = 4x + 11

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A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the caris 30 mph slower than twice the speed of the motorcycleIn two hours, the car is 20 miles ahead of the motorcycle. Find thespeed of both the car and the motorcycle, in miles per hour.

Answers

speeds are s_c for car, s_m for motorcycle.

time is 2

distance of car is:
d_c = d_m + 20, d_m is distance of motorcycle.

speed is defined as:
s = d/t, distance over time.

hence:
d_c/2 = s_c = d_m/2 + 10
s_c = s_m + 10

from problem statement we know:
s_c = 2s_m - 30

so we have 2 simultaneous equations:
s_c = s_m + 10
s_c = 2s_m - 30

multiply second by -1 and sum them both:
s_c = s_m + 10
-s_c = -2s_m + 30
-------------------------
0 = -s_m + 40
s_m = 40
that is the speed of the motorcycle

s_c = s_m + 10
s_c = 40 + 10
s_c = 50

that is the speed of car, both speeds in miles per hour

You are required to choose two topics from a list of six to write about on your science test. How many different pairings are possible?10
15
20
12

Answers

2*6=12
The answer is 12 :)

Jasmine sold half of her Barbie doll Collectionand then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many

Answers

Answer: 8 dolls.

Explanation: 13 - 9 = 4, 4 x 2 = 8.

Work the equation backwards... she has bought 9 extra dolls to add on the the half of her original amount. Without the extra 9 dolls (13 - 9), Jasmine has half of her original amount left (4) and so to find the original amount of dolls, think that if 4 is half the amount, what is 4 half of? 4 is half of 8 and so 8 is the original amounting dolls she had.

Find the value of each variable.