Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
O They are not perpendicular because their slopes are
O They are not perpendicular because their slopes are
negative reciprocals.
equal.
not negative reciprocals.
Answers
Answer:
they are perpendicular because they have slopes that are negative reciprocals
Step-by-step explanation:
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The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the slope of a line passing through two given points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For line FG, the two points are F(-4, 1) and G(0, -2):
slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4
For line HJ, the two points are H(-4, -2) and J(0, 4):
slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2
The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:
slope of FG = -3/4
slope of HJ = 3/2
Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.
To learn more about the slope;
brainly.com/question/3605446
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Related Questions
Simplify the radical
Answers
Answer:
[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]
5 1/6 - 2 15/12x + 1 1/4x = 7 2/3
Answers
- Harvard university professor
Suzanne is putting a fence around her rectangular garden. The length of the garden, x, is 4 feet more than the width. The perimeter of the garden is 32 feet. Write an equation to find the length of the garden.
Enter the correct answer in the box.
Answers
Answer:
Length=10 feet
Width=6 feet
Step-by-step explanation:
Let width (W) of the garden is x feet
Then Length=L=4+x feet
Perimeter=P=2(W + L)
P=2(x+x+4)
32=4x+8
4x=32-8
x=24/4=6 feet
W=6 feet
L=10 feet
Find the slope of the line passing through the points (-5,6) and (6,6).
slope:
Answers
Answer:
0
Step-by-step explanation:
the equation on finding slope is y2 - y1/x2 - x1
so it is...
6 - 6 = 0
6 - -5 = 11
0/11 but that doesnt work so I believe the slope is zero because the denominator is not the one being a 0
hope I helped ;)
Answer: its a zero slope
Step-by-step explanation: i just put them on a graph - uh i think there is another way to do it but i forgot
NUMBER 2 AND 3. GIVING BRAINLIEST!!
Answers
Answer:
2. a. 11/4
b. 8/6
3. a. 2 1/6
b. 3 2/3
Step-by-step explanation:
So basically for number 2, you need to multiply the whole number and the denominator, then add the numerator.
For number 3, you need to divide the numbers. Like how much does 6 go to 13 or 11 go to 3. The remainder should be the numerator.
Answer:
Step-by-step explanation:
2)a)
[tex]2\frac{3}{4}=\frac{(2*4)+3}{4}=\frac{8+3}{4}=\frac{11}{4}\\\\1\frac{2}{6}=\frac{(1*6)+2}{6}=\frac{6+2}{6}=\frac{8}{6}\\[/tex]
3)
[tex]a) \frac{13}{6}=2\frac{1}{6}\\\\b) \frac{11}{3}=3\frac{2}{3}\\[/tex]
Amy deposits $20,000 into an account that pays 6% interest per year, compounded annually. Bill deposits $20,000 into an account that also pays 6% per year. but it is simple interest. find the interest Amy and Bill earn during each of the first years, then decide who earns more interest for the year. assume there are no withdraws and no additional deposits
Answers
Answer:
Yeah, math math wu wu
Step-by-step explanation:
last month a class collected 240 cans for a canned-food drive. this month the class collected 320 can. what was the percent increase in the numbers of cans collected
Answers
Because 240 is 75% of 320
Hope this helps ^W^
In the school chorus, 3 9 of the students are fourth graders. In simplest form, what fraction of the students in the school chorus are fourth graders?
Answers
Answer: 1 / 3
Step-by-step explanation:
3/9 of the students in the school choir are fourth graders.
To take a fraction to its simplest form, divide both of the numbers in the fraction by their highest common factor.
3 factors = 1 , 3
9 factors = 1, 3 , 9
Highest common factor = 3
Divide both numbers by 3
= (3/3) / (9/3)
= 1 / 3
Solve the inequality and graph the solution, please put it on a number line if you can.
200 - 4.5x ≤ 20
Answers
Answer:
x is greater than or equal to 40
Step-by-step explanation:
a) Find the lowest common multiple (LCM) of 36 and 48
Answers
Answer:
144
Step-by-step explanation:
I did the sum out :) :)
Question 5
1 pts
5) If a person runs 1/3 mile in 1/9 of an hour, what is
the unit rate per hour?
A. 1/9 mi/hr
B. 1/3 mi/hr
C. 3 mi/hr
D. 9 mi/hr
Answers
A quadratic equation is shown below
9x^2-36x+36=0
A Determine the radicand discriminat... the number under the radical sign tell how many solutions this equation has and indicate how you know based on the radicand show your work
B solve 2x^2-9x+7 for using x an appropriate method show the steps of your work
Answers
9514 1404 393
Answer:
A. d = 0 -- one (1) solution
B. x = {1, 3.5}
Step-by-step explanation:
A. The discriminant for ax²+bx+c = 0 is ...
d = b² -4ac
For the given equation, this is ...
d = (-36)² -4(9)(36) = 0
The discriminant is zero (0).
The discriminant divided by the leading coefficient (a=2) will give the difference between the two roots of the equation. When the difference is zero, as here, both roots are the same. Effectively, there is one (1) solution to the equation.
__
B. The equation can be factored as ...
2x² -9x +7 = (2x -7)(x -1) = 0
The solutions are the values of x that make the factors be zero:
2x -7 = 0 ⇒ x = 7/2
x -1 = 0 ⇒ x = 1
The solutions are x = 7/2 or x = 1.
Please help! This is due in two minutes :(
Is y=x^2 a function
Answers
Answer:
No
Step-by-step explanation:
y=x^2 is a sideways parabola and therefore not a function
Answer:
yeah
Step-by-step explanation:
Like based on existence theorem, for a rational number x there is a rational numner y, x^2=y
Last month you spent $40 on clothing. This month you spent 110% of what you spent last month.
Set up a proportion to model this situation. How much did you spend this month?
Answers
Answer:
the answer is 44
what is the y intercept of the points (2,72) and (5,162)
Answers
Answer:
12
Step-by-step explanation:
Type Into Calculator:
SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER
Help me with this pls
Answers
Answer:
D 10x=150
Step-by-step explanation:
They are the same degree so they must equal eachother
Answer:
10x=150(Vertically Opposite Angle)
How do you solve -2+x=-x+2
Answers
Answer:
x=2
Step-by-step explanation:
-2 + x = -x + 2
Isolate the variable
2x = 4
Simplify
x = 2
Answer:
x = 2
Step-by-step explanation:
you want to move the variables to one side, the numbers to the other side.
x = -x+4
then you move the other x
2x = 4
x = 2
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term.
Answers
Answer:
0.527
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term
The sequence given in the above Question is a geometric sequence.
The formula for the nth term of a geometric sequence is given as:
an = a × r ^n - 1
Where
a = First term
r = Common ratio
n = nth term
From the above question, we are asked to find the 7th term
Hence:
a = 6
Common ratio = Second term/first term
= 4/6 = 2/3
n = 7
The 7th term = 6 × (2/3 )^7 - 1
= 6 × (2/3)^6
= 6 × (2/3)⁶
= 0.5267489712
Approximately to the nearest thousandths the 7th term = 0.527
Do Now
Determine the coordinates of the midpoint of the line
segment with endpoints R(6,-2) and S(-3,-2).
O (1,2)
O (1.5, 2)
O (1.5, -2)
(3,-2)
Answers
Answer:
(1.5, -2)
Step-by-step explanation:
First subract -3 from 6 to find the total distance of the line segment.
6 - (-3)
Two negatives make a positive
6 + 3
9 units distance
Knowing this, the midpoint is 4 1/2 units away from either end. (1/2 * 9 = 9/2 = 4 1/2 units) Either add 4.5 to -3, or subtract 4.5 from 6 (keep the -2 though, as this line is straight!) to get the coordinates of the midpoint.
-3 + 4.5
-3 + 3 + 1.5
(1.5, -2)
6 - 4.5
6 - 4 - 0.5
2 - 0.5
(1.5, -2)
The midpoint of segment RS is (1.5, -2).
The amount of flour that the bakery used this month was a 40% increase relative to last month. The bakery used 75 pounds of flour last month. How much
flour did the bakery use this month?
Answers
100-40= 60%= 0.6
75-0.6= 74.4 pounds of flour
I’m sorry if it’s wrong because I’m not 100% sure
Answer: 11%
Step-by-step explanation:
so, I’m not going anywhere else to go to the store and I’ll let you know if you need anything or do I need to get something for dinner lol you know what I’m going through and I can’t even imagine what you mean by that time and you have have to do that for you too but I’m just trying to get you to do that that I don’t want to do with that and that I’m going to be a pain and I’m sorry I don’t want you to think that you have been in the hospital and you have no desire for me to come in this week I don’t think I can do anything with your dad and you are just not being mean and I can’t even talk to you and I’m not going through all that I know I don’t know what to do but you are not going through all this nonsense I know that I know what I want you do not need me but you know me I love that I don’t know if I will ever do that anymore but you are not even in my mind for a while but you are not so much and I’m sorry I just want to make sure that I have no idea that I’m going to have to be a friend of my best relationshi.
Algebraic Simplification
Solve
1. (5a- 6b) + (4a +8b)
2.pqr+pqr-2qrs+5qrs-3pqr
(Need step by step explanation)
Answers
Answer:
[tex] \boxed{ \tt{1. \: \: 9a + 2b}}[/tex]
[tex] \boxed{ \tt{2. \: \: 2pqr + 3qrs - 3pqr}}[/tex]
Step-by-step explanation:
[tex] \tt{1. \: \: (5a - 6b) + (4a + 8b)}[/tex]
Remove the unnecessary parentheses :
⇾ [tex] \tt{5a - 6b + 4a + 8b}[/tex]
Combine like terms. Like terms are those which have the same base { For instance : In the term 4a , a is the base }. Also remember that : Only coefficients of like terms can be added or subtracted.
⇾ [tex] \tt{5a + 4a - 6b + 8b}[/tex]
⇾ [tex] \tt{9a + 2b}[/tex]
[tex] \tt{2. \: \: pqr + pqr - 2qrs + 5qrs - 3pqr}[/tex]
Combine like terms :
⇾ [tex] \tt{2pqr + 3qrs - 3pqr}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
1. (5a-6b) + (4a+8b)
= (5a + 4a) + (8b - 6b)
=9a + 2b
2. pqr+pqr-2qrs+5qrs-3pqr
= 2pqr-3qrs-3pqr
= -3qrs-pqr
Step-by-step explanation:
have a great day
Figure ABCD is a rhombus.What is the value of x? 13 14 26 28
Answers
Answer:
The answer is 13
Step-by-step explanation:
Took the test on Edge
Answer:
x=13 :)
I took the quiz
Jessica is measuring two line segments. The first line segment is 300 cm long. The second line segment is 500 cm long. Find the total length of both the line segments.
Answers
Answer:
The total length of both the line segments is 800 cm long.
Step-by-step explanation:
Ewan has 48 white tiles and 16 blue tiles. The cost of each white tile is £2.
The cost of each blue tile is £4.
Work out the ratio of total cost of white tiles to the total cost of the blue tiles.
Answers
16 x 4 = 64
96:64
Answer: 12:8
I think
Ra
2 of 12
Savings Account
Alexandra deposits $600 in her bank account. The
account earns interest at a rate of 5%, compounded
annually.
Which equation below represents Alexandra's savings
if she makes no additional deposits or withdrawals?
Answers
Answer:
can't see the options you have but if I show you how to work it out maybe that will help??
100 + 5 = 105
105/100 = 1.05
600 X 1.05^ to number of years
Algebra is a hard subject for me can I have help please
Answers
Answer:
What he/she said
the amount of ppl who do this lol.
brainliest, pls help
Answers
6. Find the missing angle.
Answers
Step-by-step explanation:
one triangle has total 180°. so, 180° - 45° - 30° = 105°
Answer : 105°
please help i’ll give brainliest
Answers
Answer:
about 463 minutes or 7.7 hours
Step-by-step explanation:
area=length*width
4.75ft*3.25ft=15.4375ft^2
Now multiply 15.4375*30 to get 463.125 minutes
The elevator can hold at most 20 people. Which inequality shows the capacity of the elevator.
A
x ≤ 20
B
x > 20
C
x < 20
D
x ≥ 20
Answers
Answer:
A x ≤ 20
Step-by-step explanation: