The equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
What is the Slope of Perpendicular Lines?Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.
For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).
Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:
y + 2 = 3/2x + 6
y = 3/2x + 6 - 2
y = 3/2x + 4
The slope is therefore 3/2.
Negative reciprocal of 3/2 is -2/3.
Examine each of the equations given and see which equation has a slope of -2/3.
A. y = -3/2x +4, the slope is -3/2.
B. y = -2/3x + 4, the slope is -2/3. (perpendicular)
C. y = 2/3x +4, the slope is 2/3.
D. y = 3/2x +4, the slope is 3/2.
E. y+1=-4/6(x+5), rewrite in slope-intercept form
y+1=-4/6x + 20/6
y + 1 = -2/3x + 10/3
The slope is -2/3. (perpendicular)
F. y+ 1 = 3/2(x + 5), the slope is 3/2.
Therefore, the equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
Learn more about equations of perpendicular lines on:
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Which expressions simplify to a single term?
Answer:
c and d
Step-by-step explanation:
I think this is it sorry if wrong but i tryed really hard i am not good at math dont take this down pls.
A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?
Answer:
Length will be 173
Step-by-step explanation:
Find the arch length
(Give an exact answer & show work)
Answer:
12.56637
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360}) \\Arc lenght = 2\pi 6(\frac{120}{360} )[/tex]
how many times can 495 go into 156
Answer:
0
Step-by-step explanation:
Answer:
0.315 times
Step-by-step explanation:
156÷495 ≈ 0.315
Have a good day :)
The Ace Bicycle Shop charges a flat fee
of $4, plus $1 per hour, for the hire of a
bicycle. The Best Bicycle Shop charges
a flat fee of $8, plus 50 cents per hour.
Connie and her friends hire three bicycles
from Ace, and David and his brother hire
two bicycles from Best. After how many
hours will their hire costs be the same?
Answer:
x = number of hours = 8 hours
Step-by-step explanation:
Let
x = number of hours
There are 3 people who rented bicycle from each shop
Ace bicycle shop:
Total cost = 3(4 + x)
= 12 + 3x
Best bicycle shop:
Total cost = 3(8 + 0.50x)
= 24 + 1.5x
Equate both equations and solve
12 + 3x = 24 + 1.5x
12 - 24 = 1.5x - 3x
-12 = -1.5x
x = -12/-1.5
x = 8 hours
x = number of hours = 8 hours
At the Valero gas station, gas costs $2.55 per
gallon. The RV holds 55 gallons of gas. If the
RV currently has 20 gallons of gas, how much
will it cost to completely fill the RV with gas?
Answer:
140.25$
Step-by-step explanation:hope this helps <3
Answer:
Step-by-step explanation: valero gas station gas cost 2 dollars. 55 per gallon
55 + 20
I need the answer pls Immediately!!!!!!!
Answer:
Equation: y = 5x - 2
Step-by-step explanation:
Slope = Change in y / Change in x
Change in y = +5
Change in x = +1
Slope = 5/1 or 5
Y-intercept = y-value where x = 0
x = 0, y = 3-5
y = -2
y-intercept = -2
Finally;
Equation: y = 5x - 2
Hope this helps!
Answer:
y = 5x - 2
Step-by-step explanation:
(1,3) (2,8)
y2 - y1 / x2 - x1
8 - 3 / 2 - 1
5
y = 5x + b
3 = 5(1) + b
3 = 5 + b
-2 = b
Which two triangles below are similar?
Answer:
Triangle A and B
Step-by-step explanation:
Both triangles have two same angles.
If Triangle A is rotated like Triangle B, they would be the same.
Vice versa, if Triangle B is rotated like Triangle A, it would be the same.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
There are two bags of oranges on sale. The prices are shown below: Bag A: $2400 containing 12 oranges Bag B: $3000 containing 20 oranges Which is the better buy?
Answer:
Bag B which is $150 for one orange
Step-by-step explanation:
In ,bag A 12 oranges cost 2400
The price of one orange in bag A is
= 2400/12
= $200
In bag B 20 oranges cost $3000
The cost of one orange in bag B is
= 3000/20
= $150
Hence the better buy is bag B which goes for $150 for one orange
I have an average of 84 right now but I failed my homework so that would most likely turn to an 82 and my parents will actually kill me I need to get to at least an average of 90 minimum I know report cards will be out soon and I will guess I have a week before marking period three ends could I boost my average up by 6-8% within a week of getting straight hundreds in my homework? Homework’s count a lot.
Answer:
I would say yes. Now I'm not in your type of school grading system, but if you try to get as many 90s and 100s in your homework for the next week, you would probably get there.
Step-by-step explanation:
Good luck! I know you will do great.
Complete the table of values for y = x2 - 2
Answer:
x = -1
Step-by-step explanation:
LOCO LOOOCOOOO LOCO LOOOOCOOO
PLEASE HELP I ONLY HAVE 10 minutes
In Mr. Forester's science class,
students are given five tests in a
semester. Latoya's scores on the first
four tests are 86%, 82%, 91%, and
98%. If Latoya's score on the final
test is represented by x, then her
class average y can be found using
the equation below.
y =
86% + 82% + 91% + 98% + x
5
Mr. Forester awards an "A" to any
student whose class average falls
within the 90 - 100% range. Which
interval represents the domain of final
test scores that Latoya can get and
still receive an "A"?
F [90%, 100%]
G [87%, 100%]
H [93%, 100%]
[96%, 100%]
Answer:
The answer is "H [93%, 100%]"
Step-by-step explanation:
I'll edit this in a second to show the process, but it may take a minute. Just have the answer for now.
This is a surprisingly useful question hah, I'll bet many will need to do this.
This question is just finding the average. Pretty simple.
y = 86 + 82 + 91 + 98 + x / 5
y = 357 + x / 5
An easy way is to do the lowest question first, then go from lowest to second lowest and so on. Because if you go to the highest one and the answer is one of the lower ones, well, of course it's going to be within the 90-100 range, but that doesn't necessarily mean it's the answer.
y = 357 + (87) / 5
y = 444 / 5
y = 88.8
Okay, so the answer isn't G. Then let's try H.
y = 357 + (93) / 5
y = 450 / 5
y = 90
Yep, the answer is H. This is because it equals 90, which is indicative of the 90-100% range that Latoya needs to get an "A".
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Step-by-step explanation:
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Answer:
One sandwich costs $30
One juice costs $10
The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?
Answer:
The original fraction is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2
[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]
Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is [tex]\frac{2}{5}[/tex]
If 2y =a and y =3x +12 what is a?
Step-by-step explanation:
2y=a
y=a/2
putting value of y
y=3x+12
a/2=3x+12a=6x+24stay safe healthy and happy ...Find the equation of a straight
line passing through the point of
intersection of the lines
y = 2x +3 and x +y = 3 and
parallel to the line y = -5x +7
Answer:
y = -5x + 3.
Step-by-step explanation:
We can find the point of intersection by solving the system:
y = 2x + 3 .... 1
x + y = 3 ...... 2 from this:
y = 3 - x ....... .3
Equating equations 1 and 3:
2x + 3 = 3 - x
3x = 0
x = 0 so y = 2(0) + 3 = 3.
So the point of intersection is (0, 3).
So the required equation has slope -5 and passes through (0, 3) and, using the point-slope form of a straight line, we have:
y - 3 = -5(x - 0)
y - 3 = -5x
y = -5x + 3.
An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side
Answer: [tex]3\times \dfrac{P}{3}=P[/tex]
Step-by-step explanation:
Given
The perimeter of one equilateral triangle is P
The lengths of the equilateral triangle are equal
Suppose x is the length of each side
[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]
i.e.
[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]
The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18
Answer:
B.) -9
Step-by-step explanation:
The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
How to calculate the axis of symmetry of a function?The standard equation of a function in vertex form is given as:
f(x) = (a + x)^2 + h
Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:
3/2= -b/2a
-b/2(3)=3/2
-b/6=3/2
Cross multiply
-2b = 18
-b=9
Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
Learn more on axis of symmetry here: https://brainly.com/question/21191648
I NEED THIS ASAP!!! What is GC?
9514 1404 393
Answer:
D. 14
Step-by-step explanation:
Point G divides each median into parts that have the ratio ...
short : long = 1 : 2
Then ...
GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7
GC = 14
11 times z=121
(11xz=121
Answer:
z will be11
11z = 121
z = 121/11
z= 11
Answer:
1=121= 11
Step-by-step explanation:
Hey ASAPPP PLS 80 points
Answer:
using pythagoras theorem
a^2+b^2=c^2
8^2+x^2=(x+2)^2
64+x^2=x^2+2*x*2+2^2
64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)
64=4x+4
64-4=4x
60/4=x
15=x
Step-by-step explanation:
How do I solve this please help no links
9514 1404 393
Answer:
$735
Step-by-step explanation:
We assume the cover needs to cover the pool only, not any extra area around the pool.
The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*
The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.
A = LW
A = (70 ft)(35 ft) = 2450 ft²
Then the cost is ...
C = ($0.30/ft²)(2450 ft²) = $735
The cost to buy a pool cover is $735.
__
* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.
+
Find the missing side to the nearest tenth 23 and 19
Which of these are the coffenent?
4y+1+9x
Answer:
coefficient*
Your coefficients are 4 and 9
Why?
Because the number attached to the variable will always be your coefficient.
ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?
Answer:
[tex]\frac{14}{30} = 7/15[/tex]
The probability that a randomly selected student has a brother given they have a sister is 11/30.
We have given that,
Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.
What is the formula for probability?The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.
Since there are 30 students in total, and 11 of them have both a brother and a sister,
Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.
To learn more about the probability visit:
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The type of number that cannot be expressed as a fraction because the fractional part would go on for infinity without ever repeating a sequence is:
how many cups is 5 1/8 gallons
Answer:
82 Cups
Step-by-step explanation:
A jar contains 6 red marbles, 3 green marbles, 5 white marbles, and 7 yellow marbles. Find the probability of drawing a green marble. All answers should be given as a fraction in simplest form!
Any help is appreciated! Thanks!
Answer:
simple - 1/21 chance
Step-by-step explanation:
since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21
here is cat
Answer:
3 is for green marbles
21 is the total of all marbles
Step-by-step explanation:
you only have 1 event so I think we don't need some formula or something
the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)
and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)
PLEASE HELP ME FAST! WILL GIVE BRAINLIEST.
What is the length of the segment joining the points at (−3, 0) and (5, 6)?
Enter your answer in the box.
units
Answer- √ 26
Explanation:
Use the distance formula:
√ ( y 2 − y 1 )² + ( x 2 − x 1 ) ²
Plug in your values:
√ ( − 5− ( − 4 ) )² + ( 2 − ( − 3 ) )²
Simplify:
√ ( − 1 )² + ( 5 )²
Simplify:
√ 1 + 25
Simplify:
√ 26
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Anyways bye!
A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?
Answer:
the answer is 456,976,000
Answer:
✅ C. 456,976,000⬇️ i got it right