please help! (will give brainlist!)
37: given the line y=3/4x-2
a: find the parallel slope.
b: find the perpendicular slope.
38: determine if the lines are parallel or perpendicular:
a: -2x+5y=9 and 5x+2y=-6
b: 4y=8x+12 and -12x+6y=24
39: write an equation of a line that passes through (-4,-6) and is parallel to y=3x-8
40: write an equation of a line that passes through (2,5) and is perpendicular to y=1/4x-12
Answers
Step-by-step explanation:
Two lines are parallel if they have the same slope and are perpendicular if the product of their slopes is -1
37.a.Parallel slope=¾
b.Perpendicular slope =-1/¾=-4/3
38.a. -2x+5y=9 and 5x+2y=-6
For the first line,5y=2x+9,y=2/5x+9/5
For the second line,2y=-6-5x,y=-3-5/2x
Compare the slopes
2/5 vs -5/2 we see that -5/2 is the negative reciprocal of 2/5 therefore they are perpendicular
39. If both lines are parallel then their slopes are equal. The slope of y=3x-8 is 3
Using the point-slope form, y-y1=m(x-x1)
y--6=3(x--4)
y+6=3(x+4)
y+6=3x+12
y=3x+12-6
y=3x+6
40.The slope of y=¼x-12 is ¼
The negative reciprocal of it is the slope of it's perpendicular that is -1/¼=-4
Using the point slope form, y-y1=m(x-x1)
y-5=-4(x-2)
y-5=-4x+8
y=-4x+8+5
y=-4x+13
Related Questions
drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answers
Answer:
g = 2d - 8
g + d = 46
Jayden bought four shirts and three pairs of pants for $200. His
brother bought two shirts and two pair of pants for $116. How
much did a pair of pants cost? How much did a shirt cost?
Answers
PLEASE IM DESPERATE
The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answers
% difference. I really hope this is right and I really hope it helps!
could someone help i’ll mark brainliest! please explain too
Answers
Answer:
C. 8
Step-by-step explanation:
I almost thought this was going to be Pythagorean Theorem, but no.
Use Cosine Law:
cos θ = [tex]\frac{10^2 + 21^2 - 17^2}{2(10)(21)}[/tex]
θ = cos−1(0.6)
θ = 53.130...
Now use the SOHCAHTOA ratio for sine ([tex]\frac{opposite}{hypotenuse}[/tex]) to find x now that you have one angle:
sin θ = [tex]\frac{x}{10}[/tex]
x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)
x = 8
16. During a sale, all T-shirts are $5 off. Barry used a coupon to get an additional $10 off his
purchase. If the original price of a T-shirt was $45, how much did Barry pay?
Answers
The length of Rectangle A is 5 inches more than its width. The perimeter of Rectangle B is 17. The difference between the perimeters of the rectangles is less than 9. What are the possible integer values for the width of Rectangle A?
Answers
Based on the perimeter value, the width of the rectangle is 1.75 inches
What are perimeters?The perimeter of a shape is the sum of the side lengths of the shape
For all regular quadrilaterals, you add up the side lengths to determine the perimeter
How to determine the width of the rectangle?The given parameters about the rectangle are
Perimeter = 17
Length = Width + 5
Rewrite the above equations as
l = w + 5
p = 17
The perimeter of a rectangle is
p = 2 x (l + w)
Substitute p = 17 in the above equation
So, we have
2 x (l + w) = 17
Substitute l = w+ 5 in the above equation
So, we have
2 x (w + 5 + w) = 17
Evaluate the like terms in the above equation
So, we have
2 x (2w + 5) = 17
Open the bracket in the above equation
So, we have
4w + 10 = 17
Evaluate the like terms in the above equation
So, we have
4w = 7
Divide both sides of the above equation by 4
So, we have
w = 1.75
Hence, the width of the rectangle is 1.75 inches
Read more about perimeter at
brainly.com/question/18019422
#SPJ1
Answer: hi, the answer is 1 in. 2 in., and 3 in.
Step-by-step explanation:
I took the quiz! :)
so, for context my teacher said it's C but I don't understand how the slope is negative.
Answers
the answer is:
A. slope: 9, y-intercept: -6
The graph of a line has slope 3/2 and passes through the point (-2, 4). Which point is on this line?
(0, 7)
(1, 6)
(2, 11)
(4, 1)
Answers
Answer:
(2, 11)
Step-by-step explanation:
Answer:
(1, 6)
Step-by-step explanation:
help again
algebra 1
Answers
Answer:
a
Step-by-step explanation:
there is only one solution
Simplify the folllowing: (xy^3 z^4)
Answers
Answer:
Remove parentheses. xy³ z^4
4Step-by-step explanation:
Answer:
x^4y^12z^16 is the answer let me know if i'm right and pls brainllest me if i'm right
Objective: Identify the slope and y-intercept.
5.3.7
Find the slope and y-intercept of the graph of the equation.
y = 4x + 3
Select the correct choice and fill in any answer boxes in your choice below.
O A. The slope is
OB. The slope is undefined.
Answers
Answer:
y=4x+3 The slope is 4 and the y-intercept is 3
Step-by-step explanation:
Answer:
slope = 4, y- intercept = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x + 3 ← is in slope- intercept form
with slope m = 4 and y- intercept c = 3
Help! Which method can you use to prove that the triangles are congruent?
Answers
what is the square root of a perfect square always rational
Answers
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
Which expression is equivalent to 6x+8?
O 2(3x-4)
O 2(3x+4)
O 2(4x+6)
O 2(3x8)
Answers
Answer:
2(3x+4).
Step-by-step explanation:
Plz help I will mark as the brainlist
Answers
Answer:
1/25
Step-by-step explanation:
We can see that in this pattern, the denominator and the numerator of the next fraction cancel out; they're the same.
(1/2) x (2/3) x (3/4) = 1/4 (do you see it?)
The only things that do not cancel out are the numerator of the first fraction and the denominator of the last. So, in the end, the answer will be 1/25.
Hope this helps!
3 (2 + q) + 15 simplified
Answers
Answer:
3q+21
Step-by-step explanation:
Answer:
well i think you distribute the 3 to the two and the q so you multiply 3 * 2 = 6
3 * q = 3q then you add 6 + 3q = 9q
Step-by-step explanation:
Name the side included by ∠A and ∠B
Answers
Answer:
I think may be it is Option 2 (AB)
What is the y intercept
Answers
Pllsssssss helpppp meeee
Answers
Answer: C
Step-by-step explanation:
(From Unit 1, Lesson 7.)
7. This diagram is a straightedge and compass
construction. Is it important that the circle with center B
passes through D and that the circle with center D
passes through B? Show or explain your reasoning.
(From Unit 1, Lesson 5.)
ON
D
n
Answers
Answer:
The Distance from the center ( B ) of the smaller circle to its edge is the radius of the circle therefore length BD = length AB
From the given diagram
The center of the bigger circle is at C while
The center of the smaller circle is at point B .
The smaller circle cuts through the bigger circle creating two segments BD and AB which starts from the middle of the smaller circle to the intersecting edges of the circles.
Hence the length of segment BD = length of segment AB because they both start from point B .
Request: please mark me brainlyest
i really do hope this helps
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answers
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
Samantha is taking out a loan for $17,452 at 6% simple interest for one year. How much interest will she pay?
Answers
Answer:
She will pay $1,047.12 interest for one year
Step-by-step explanation:
Simple Interest
Occurs when interest is calculated on the original principal only.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance or loan
r = interest rate
t = time
Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:
[tex]I=\$17,452*0.06 *1[/tex]
I = $1,047.12
She will pay $1,047.12 interest for one year
please help me with math
Answers
Answer:
part one:
6 3
22 1
30 0
part two:
0.50*s+4*a=15
Step-by-step explanation:
part one:
firstly:
6 individual songs cost 6*0.50= 3 dollars
she has 15 dollars so after downloading 6 individual songs that cost 3 dollars together
it means that she has only 15-3=12 dollars to download full albums
so 12/4=3 albums
because 4 dollar cost one album and with 12 dollars she can buy just 3 albums
secondary:
she downloaded 1 album
and one album cost 1*4=4 dollars
she has 15 dollars ,after buying 1 album
she has 15-4=11 dollars
so she can download 11/0.50=22 individual songs
so she can download 22 individual songs.
the last one:
she downloaded 30 individual songs
that all together cost 30*0.50=15 dollars
but she has 15 dollars at all so she cant buy any album because she spent all her money in individual songs.
because 15-15=0 money left
part two:equation
0.50*s+4*a=15
1. Honors Geometry 9th Grade PLS HELP WILL MARK BRAINLIST.
Answers
Answer:
Measure of angle E is 37 degrees because the triangles are similar and angle c and angle e are the ones that match up.
2x+4=6 is the equation
2x+4=6
2x=2
x=1
Write the equation of a line that is perpendicular to 3x-6y=12 and passes through the point (-4,3).
Answers
Answer:
y=-3x+3 I think
Step-by-step explanation:
opposite reciprocal and use the new points y value?
please help me i would really appreciate it
i will give brainliest
Answers
Answer:
b. multiply the bottom equation by 2
Step-by-step explanation:
it would eliminate y
a 12" original sized at 75%, the new size=
Answers
Answer:
9"
Step-by-step explanation:
12 = 100%
? = 75%
cross multiply
= 9"
For each situation, decide whether you would need to find the circumference or area and explain why.
The distance your car tires travel on a trip to Dover. Area or circumference
The amount of icing needed to cover a chocolate frosted donut. Area or Circumference
The amount of sauce needed to cover a pizza. Area or Circumference
The number of bricks used to put a border around a circular pond. Area or Circumference
Answers
Answer:
i need pionts bbut it is b
Step-by-step explanation:
My teacher keeps adamantly telling me that the answer is D, and I insist it’s B. Am I right or is she right?
My reasoning, question asks for an ALWAYS true statement. Question gives 6 defined points that if plotted will show it will need to cross the x axis twice to connect all the points while being continuous. Yet functions aren’t always straight and simple so two is the bare mininum and there may be more as in between those defined points the line may have crossed multiple times. However D and C assume its exactly 2 or more than 2, therefore they are wrong. If D and C merged together then that would be better than B. Yet B is still correct on the terms of being an “always” correct statement.
Answers
the picture below is more or less some quick mockup of what that might be, and yes, 2 solutions or zeros is the bare minimum, because we know only 5 points on this continuous line, but it could have jumped a few times before going forwards and we are not privy to those points.
well, we can say that
f(x) has more than one zero
f(x) has exactly two zeros
I think within the circumstance both are acceptable, exactly 2 zeros is also acceptable, but is not exclusively the only valid choice, if any we could say "exactly 2 zeros" is a subset of the superset "more than one zero".
kinda like saying Sandra has Felines and she also has 3 cats, well, 3 cats are an exact number, but the plural Felines contains them, so both statements are equally valid, one is more general than the other, is all
help if you have time !
Answers
Answer:
72 Bricks would be needed.
Step-by-step explanation:
24 * 2 = 48
12 * 2 = 24
48 + 24 = 72