Given:
The coordinates of the points are B(-4,3), G(-2, 4), H(1, -2), L(-1, -3).
To find:
Whether GL and BH are parallel or not by using their slopes.
Solution:
If a line passes through the two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula, the slope of GL is
[tex]m_1=\dfrac{-3-4}{-1-(-2)}[/tex]
[tex]m_1=\dfrac{-7}{-1+2}[/tex]
[tex]m_1=\dfrac{-7}{1}[/tex]
[tex]m_1=-7[/tex]
Using the slope formula, the slope of BH is
[tex]m_2=\dfrac{-2-3}{1-(-4)}[/tex]
[tex]m_2=\dfrac{-5}{1+4}[/tex]
[tex]m_2=\dfrac{-5}{5}[/tex]
[tex]m_2=-1[/tex]
We know that slopes of parallel lines are always equal.
The slopes of GL and BH are -7 and -1 respectively but they are not equal, therefore GL and BH are not parallel lines.
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)
Answer:
(6x2 - 5)(x2 + 2)
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Angela is studying the mean blood pressure of all students attending her college. She collects data from the 38 students in her statistics class. Which type of sampling is used?
Answer:
Convenient Sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
She collects the data from the students in her class, which is the conveniently available pool, so convenient sampling is used.
what fraction is 15 minutes of 1 hour explain also
Answer:
1/4
Step-by-step explanation:
15+15+15+15= 60
i hope this helps
Answer:
The answer is 1/4
Step-by-step explanation:
1 hour = 60 minutes
Therefore;
Fraction of 15 minutes with respect to 1 hour is;
15 minutes/ 1 hour
=15 minutes/60 minutes
=1/4
Therefore the answer is 1/4
Hope this helps.
hottest centralisation
Answer:
centralisation mean a direction explain that we often a high how well we cancan predict future actions of others.
Step-by-step explanation:
Question 1 (1 point)
If three shares of TSLA cost $2400, how much would 8 shares cost?
a
$6400
b
$1100
c
$5400
d
$3200
Question 2 (1 point)
If twenty shares of GME cost $800, how many shares could I buy with $120?
a
16
b
3
c
4
d
1600
Question 3 (1 point)
If 8 shares of BB cost $72, how many shares could I buy with $810?
a
90
b
738
c
72
d
730
Question 4 (1 point)
If fifteen pencils cost $5, how much would 9 pencils cost?
a
$45
b
$3
c
$2
d
$14
Question 5 (1 point)
If four shares of AAPL cost $480, how many shares could I buy with $3600?
a
30
b
40
c
36
d
48
Can someone help be with those this is worth 100 points
Answer:
A
Step-by-step explanation:
2400/3= 800 800x8= 6400
Find the accumulated value of an investment of $1710 at 5% compounded annually for 20 years.
A) $4321.08
B) $3334.50
C) $3420.00
D) $4537.14
Answer:
D
1710(1+0.05)²⁰=4537.14
Solve the following equation for "y": 3x-4y=20
Answer:
Step-by-step explanation:
20=3x-4y, add 4y to each side
4y+20=3x, subtract 20 from each side
4y=3x-20, divide each side by 4
y=(3x-20)/4 or if you prefer
y=0.75x-5
5. What are the values of x and y? Be sure to show your work.
helpppp plz hurry
Answer:
x=35 y=72.5
Step-by-step explanation:
x is equal to 35 because they are vertical angles. y is equal to 72.5 because if you use the equation y + y + 35 = 180 and subtract 35 then divide 145 by 2, you would get 72.5
Can someone please help me
Answer:
x = 20
y = 12
Step-by-step explanation:
opposite angles are congruent so we can set up this equation:
5x + 29 = 7x - 11
29 = 2x - 11
40 = 2x
x = 20
5(20) + 29 = 129
7(20) - 11 = 129
3y + 15 = 5y - 9
15 = 2y - 9
24 = 2y
y = 12
3(12) + 15 = 51
5(12) - 9 = 51
The drop down menu suggestions is true or false I need someone to help me plz
Answer:
Answer true or false and see what happens
Step-by-step explanation:
(30, points)
A right triangle is shown. Which is closest to the value of an x
Answer:
I think the answer might be 13. I don't know it is wrong or not
Please help me I’ll give you points
The number of siblings a student has and the grades they have in math class.
A.
Positive correlation
B.
Negative correlation
C.
No correlation
Given the following right triangle, solve for the missing side length, r: *
29.24 m
200 m
30 m
2.5 m
There are 26 songs in a playlist. Jackson adds some more
songs to the playlist. Which equation models how many
songs a are in the playlist after Jackson adds s more songs
to the playlist?
Pls I need help with it
In a poll of students at the hockey championship, 87% of the students say that hockey is better than baseball.
(a) Explain why it is not a valid conclusion to say that hockey is more popular than baseball at the school.
Answer:
Sample Bias
Step-by-step explanation:
If you sample Hockey players on if their sport is better than baseball, chances are they will vote for their sport being better.
Solve for x leave your answers as a simplified radical
Answer:
D) 3√13
Step-by-step explanation:
6²+9²=x²
36+81=x²
117=x²
x=√117
x=√9√13
x=3√13
HELP PLS I NEED HELP
Answer:
133
Step-by-step explanation:
180 - 47 = 133
Answer:
133°
Step-by-step explanation:
If we assume the the given to adjacent lines to be parallel then ,
The x and supplement of 47° will be equal since they will be corresponding angles .Therefore :-
=> x = 180° - 47°
=> x = 133° .
Hence the size of angle X is 133°11 and 3/8 pounds of cat food were donated to the shelter
The two figures shown are congruent. Which statement is true?
One figure is a translation image of the other.
One figure is a rotation image of the other.
Neither figure is a translation or rotation image of the other.
9514 1404 393
Answer:
(b) One figure is a rotation image of the other
Step-by-step explanation:
The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.
What is the equation of the line in slope intercept form?
Answer:
y=x-4
Step-by-step explanation:
What is the next number in the sequence below?
1 3 5 7
Answer: 9
Step-by-step explanation:
It's odd numbers. Also the pattern is counting by 2 every time.
Is 2.8 greater than or less than 2.78? Pls answer
Matthew has a shipping carton in the shape of a right rectangular prism. The volume of the shipping carton is 11. cubic meters. The
height of the shipping carton is 7 meters and the width is 2 meters.
What is the length of Matthew's shipping carton?
fraction in simplest form in the box
Answer:
Height = 0.7857 m = 13/16 m
Step-by-step explanation:
Height x 7 x 2 = 11
Height = 0.7857 m = 13/16 m
Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?
Answer:
2000 minutes on 16 miles
Answer:
168.75 minutes
Step-by-step explanation:
Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.
Recalling that distance = speed times time, we recognize that
time = distance / speed
which here is
(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec
Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?
Answer:
124, I believe
Step-by-step explanation:
each day you're adding on the amount of the day,
5,7,10,14,19,25,32,40,49,59,70,82,95,109,124
days below
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
5 on day 1
5+2=7 day 2
7+3=10 day 3
and so on
Help me plz and thank u
Answer:
18
Step-by-step explanation:
triangle formula = b x h /2
half of 8/2= 4
9 x 4= 36
36/2= 18
Which sum is equivalent to 3/5 + 1/6?
A 6/10+2/10
B 12/30+5/30
C 18/30+5/30
D 3/11+4/11
Answer:
C 18/30+5/30
Step-by-step explanation:
Fractions scare me but I try
First we need to find the sum of 3/5 and 1/6
To do that we turn the denominators into common denominators.
[tex] \frac{18}{30} + \frac{5}{30} [/tex]
then we just add
[tex] \frac{18}{30} + \frac{5}{30} = \frac{23}{30} [/tex]
hope this makes sense
PLS HELPPP
What value of x would make the following relation a function?
{(-3,-2),(2,3),(3,2),(x,2)}
A. -3
B. -2
C. 2
D. 3
WILL MARK BRAINLEIST HELPP PLEASEEEE
Answer:
15
Step-by-step explanation:
9x + 25 + x + 5 = 180
Add numbers = (25 + 5 = 30)
9x + 30 + x = 180
Combine like terms = (9x + x = 10x)
10x + 30 = 180
Subtract 30 from each side (10x + 30 - 30 = 180 - 30)
10x = 150
Divide 10 from each side (10x/10 = 150/10)
x = 15