Answer: 5x + 2y = -2
Step-by-step explanation:
Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6
A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.
Substitute (-2, 4) in and get 4=5+b, so b = -1.
Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.
Hope that helped,
-sirswagger21
Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?
Answer:
≈93.6
Step-by-step explanation:
percent right = answers right/ anwers wrong
Answers right= 47-3=44
%=44/47
≈93.6
solve the following simultaneous linear+y=3and3x-y=1
Answer:
x= 4/3 and y=3
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y=-x-1
What is the solution to the system?
Answer: x = 5 and y=-6
Step-by-step explanation:
If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.
Biggest tree in the world:
The height of a redwood tree is 30 metres plus half of its own height, but it
is not 45 metres high. What is the height of the tree?
Answer:
80m
Step-by-step explanation:
The height of giant redwood tree is 100m.
so half of it is 50m
The height of redwood tree is 30m+ 50m= 80m
Answer: 60 m
Step-by-step explanation:
30 + .5x = x
30 = .5x
60 = x
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.
Answer:
Average speed of boat = 3.67 km/h
Average speed of stream = 0.63 km/h
Step-by-step explanation:
30 km upstream in 10 hours gives a speed of 30/10 = 3 km/h relative speed of boat and stream
Same way, 44 km in 10 hrs = 4.4 km/h relative speed of boat and stream.
Let the speed of the stream be y
Let the speed of both be x, then
x - y = 3.... (1)
x + y = 4.4.... (2)
Subtract 1 from 2
2y = 1.4
y = 1.4/2 = 0.7 km/h
substitute value of y in 1
x - 0.7 = 3
x = 3.7 km/h
Also, 40 km upstream in 13 hrs gives speed of 3.08 km/h
55 km in 13 hrs gives 4.2 km/h
Let speed of boat be x and that of stream be y
x - y = 3.08.... (1)
x + y = 4.2..... (2)
Subtract 1 from 2
2y = 1. 12
y = 0.56 km/h
Substitute value of y in 1
x - 0.56 = 3.08
x = 3.64 km/h
Average speed of boat = (3.7 + 3.64)/2
= 3.67 km/h.
Average speed of stream = (0.7 + 0.56)/2 = 0.63 km/h
Answer:
Let the speed of boat in stream be x km/hrAnd the speed of boat in still water be y km/hr.For upstream = x - yFor downstream = x + yAs we know that,
[tex]\bigstar \: \: \sf Time = \dfrac{Distance}{Speed} \\ \\ [/tex]
[tex]\bigstar\:\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\[tex]
[tex]:\implies \sf \dfrac{30}{x - y} + \dfrac{44}{x + y} = 10 \\ \\ \\ [/tex]
[tex]:\implies \sf \dfrac{40}{x - y} + \dfrac{55}{x + y} = 13 \\ \\ \\[/tex]
[tex]\sf Let \: \dfrac{1}{x - y} = \textsf{\textbf{m}} \sf \: \: and \: \: \sf{\dfrac{1}{x + y} = \textsf{\textbf{n} }}\\ \\ \\[/tex]
[tex]:\implies \sf 30m + 44n = 10\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (i)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]:\implies \sf 40m + 55n = 13\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (ii)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny \underline{\frak{ Multiply \: equation \: (ii) \: by \: 3 \: and \: equation \: (i) \: by \: 4 :}} \\[/tex]
[tex]:\implies \sf 120m + 176n = 40\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iii)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]:\implies \sf 120m + 165n = 39\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iv)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny \underline{\frak{ Substracting \: equation \: (iii) \: from \: equation \: (iv) \: we \: get :}} \\[/tex]
[tex]\sf 120m + 176n = 40 \\ \\
\sf 120m + 165n = 39 \\ \\ [/tex]
[tex]\sf \: \: ( - ) \:\:\: \: \: ( - ) \: \: \: \: \: \: \: ( - ) [/tex]
_____________________
[tex]\: \: \: \: \qquad\sf 11n= 1 \\[/tex]
[tex]\: \: \: \: \: \qquad\sf n= \dfrac{1}{11} \\ \\ [/tex]
[tex]\qquad\tiny {\frak{ Put\: n = \dfrac{1}{11}\:in\:equation \: (i) \: we \: get :}} \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m + 44 \times \dfrac{1}{11} = 10 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m= 10 - 4 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m= 6 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf m= \dfrac{6}{30} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf m= \dfrac{1}{5} \\ \\ \\[/tex]
____________________....[tex]\dashrightarrow\:\:\sf \dfrac{1}{x - y} = m\\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf x - y= 5\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (v)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf \dfrac{1}{x + y} = n\\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf x + y= 11\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (vi)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny {\frak{Adding\:equation \: (v) \: and \: equation \: (vi) \: we \: get :}} \\[/tex]
[tex]:\implies \sf 2x = 16 \\ \\ \\[/tex]
[tex]:\implies \underline{ \boxed{ \textsf {\textbf{x = 8 km/hr}}}} \\ \\[/tex]
[tex]\qquad\tiny {\frak{Putting\:x = 8\: in \: equation \: (v) \: we \: get :}} \\[/tex]
[tex]:\implies \sf 8 - y = 5 \\ \\ \\ [/tex]
[tex]:\implies \sf y = 8 - 5 \\ \\ \\[/tex]
[tex]:\implies \underline{ \boxed{ \textsf {\textbf{y = 3 km/hr}}}} \\ \\[/tex]
_________________....[tex]\bigstar\:\underline{\sf{Therefore\: speed\: of \:boat\: in\: still \:water\: and\: speed\: of\: stream:}} \\[/tex]
[tex]\bullet\:\:\textsf{Speed of boat in stream = \textbf{8 km/hr}}\\[/tex]
[tex]\bullet\:\:\textsf{Speed of boat in still water = \textbf{3 km/hr}}\\[/tex]
part 1. Find the missing sides for the 30-60-90 Triangles. Please show work
1. cos(30) = a/16
a = 16 x cos(30)
a = 8√3
sin(30) = c/16
c = 16 x sin(30)
c = 8
2. cos(30) = d/28
d = 28 x cos(30)
d = 14√3
sin(30) = f/28
f = 28 x sin(30)
f = 14
3. sin(30) = x/62
x = 62 x sin(30)
x = 31
cos(30) = y/62
y = 62 x cos(30)
y = 31√3
Answer:
1. (a, c) = (8, 8√3)
2. (d, f) = (14, 14√3)
3. (x, y) = (31, 31√3)
Step-by-step explanation:
Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.
__
1. a : c : 16 = 1 : √3 : 2
Multiply by 16/2 = 8:
= 8 : 8√3 : 16
a = 8, c = 8√3
__
2. d : f : 28 = 1 : √3 : 2
Multiply by 28/2 = 14:
= 14 : 14√3 : 28
d = 14, f = 14√3
__
3. x : y : 62 = 1 : √3 : 2
Multiply by 62/2 = 31:
= 31 : 31√3 : 62
x = 31, y = 31√3
Frank decided to lease a $20,000 car for three years instead of buying the car and financing it with a loan. At the end of three
years, the car was worth $11,000. How much did Frank receive when he returned the car to the dealership?
A. He received $0 and will have to cover the cost of any damages that have been done to the car.
B. He received $11,000, less the cost of any damages that have been done to the car.
C. He received whatever amount of money the dealer was able to get selling the car as a used car.
D. He received half of what the dealer got from the sale of the used car.
Answer:
a
Step-by-step explanation:
ill mark you brainiest , please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Step-by-step explanation:
50cm/40m = 0.5m/40m = 0.0125 = 1/80
4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR
Answer:
[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]
What is the perimeter?
Answer:
91+c
Step-by-step explanation:
The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.
Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Complete Question:
Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Answer:
Extra amount needed by Jenny to buy the tiles = £8
Step-by-step explanation:
Floor area = 30.0 m^2
Area covered by a pack of tiles = 2.0 m^2
Number of packs needed = 30/2
Number of packs needed = 15
Price of a pack of tiles = £9.60
Discount = 25%
Jenny will pay 75% of the marked price
Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60
Amount Jenny will pay for a pack of tiles = £7.20
Amount Jenny will pay for 15 packs of tiles = 7.20 x 15
Amount Jenny will pay for 15 packs of tiles = £108
The amount of money Jenny currently has = £100
Extra amount needed by Jenny to buy the tiles = £108 - £100
Extra amount needed by Jenny to buy the tiles = £8
What is the nth term in the sequence: 15, 22, 31, 42, 55
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5
Answer: A on Edge
Step-by-step explanation:
f(x) = (x –1)2 – 7
Answer:
A
Step-by-step explanation:
Help help help help please please
Answer:
The answer is 10⁴ × 4⁵.
Step-by-step explanation:
First, you can seperate the fraction :
[tex] \frac{ {10}^{4} \times {4}^{10} }{ {4}^{5} } [/tex]
[tex] = {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]
Next, you have to apply Indices law :
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
So for this question :
[tex] {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]
[tex] = {10}^{4} \times {4}^{10 - 5} [/tex]
[tex] = {10}^{4} \times {4}^{5} [/tex]
50 POINTS ANYONE THAT HELPS
Solve the inequality 171 > -6x, and graph the solution. What does the graph look like? an open circle at –28.5 and an arrow pointing right an open circle at –28.5 and an arrow pointing left an open circle at 28.5 and an arrow pointing right an open circle at 28.5 and an arrow pointing left
Answer:
see below
Step-by-step explanation:
When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.
Answer:
A
Explanation:
It is easy (Not trying to be mean)
Please help me and explain your answer
Thank you!
Answer:
The bottom right
Step-by-step explanation:
switch the x and y and solve for y again
Tony rounded each of the numbers 1,600 and 1,483 to the nearest thousand. Which choice correctly compares the rounded numbers
Answer:
Step-by-step explanation:
if the number is below 5, go down
if the number is 5 or above, go up
1,600 is closer to 2,000
1,483 is closer to 1,000
Then, 2000 > 1000
Answer:
Brainliest!
Step-by-step explanation:
1600 rounded is 2000
1483 rounded is 1000
Please help. Posting question below will mark brainiest and 25 points!!!!!!
Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides
Answer:
The measure of each angle of the parallelogram.
37∘ , 143∘ , 37∘ , 143∘.
Step-by-step explanation:
Since opposite angles of a parallelogram are equal. Therefore,
3x − 2=50 − x⇒x = 13
(3x−2)∘ = 3(13)−2 = 37∘
The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.
Another angle = 180−37=143∘
The measure of each angle of the parallelogram.
37∘ , 143∘ , 37∘ , 143∘
The figure shows five points. A point has been translated right and up.
Based on the graph, which statements about the points could be true? Check all that apply.
1. Point D could be the image of B.
2. Point C could be the image of A.
3. Point E could be the image of C.
4. Point D could be the image of A.
5. Point E could be the image of B.
6. Point C could be the image of E.
Moving to the right and up, the only two points that could be placed in another point would be C or B
The answer would be 6. point C could be the image of E
Answer:
im confident the answer is A C E
Step-by-step explanation:
Need help with this asap plz❤️
What question are you needed answers to?
find the circumference
Answer:
[tex]31.42 \: cm[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]C=2\pi r[/tex]
[tex]C=2\pi \times 5[/tex]
[tex]C=10\pi[/tex]
[tex]C=31.41592...[/tex]
[tex]answer \\ 31.4 \: cm \\ solution \\ r = 5 \: cm \\ d = 5 \times 2 = 10 \: cm \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 31.4 \: cm \\ hope \: it \: helps[/tex]
Which set of points on the graph represents equivalent ratios?
Please help me i dont know this question
Answer:
B-points B, C, and D
Step-by-step explanation:
got this correct:)
Find the slope of the line that passes through (2, 12) and (5, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -2/3
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
Answer:
-2/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
(10-12)/(5-2) = -2/3
Which of the following reasons can be used to justify statement #4 in the proof?
A Given
B the vertical angle theorem
C the alternative interior angle theorem
D SSS
Answer:
SSS postulate because three sides of a triangle are are congruent
Answer:
SSS
It is SSS because it is the end of the proof.
Find the side of to cube
whose volume is
5.832cm3
Answer:
[tex]1.8cm[/tex]
Step-by-step explanation:
Use the volume of cube formula.
[tex]\displaystyle V=s^3[/tex]
[tex]\displaystyle5.832=s^3[/tex]
[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]
[tex]\displaystyle s=1.8[/tex]
Answer:
a= 1.8 cm
Step-by-step explanation:
V= a³
a= ∛Va= ∛5.832a= 1.8 cmplease help for brainliest answer
Answer:
3360 cm^2
Step-by-step explanation:
24 times 14 times 10 = 3360
Is the following shape a rectangle
Answer:
c
Step-by-step explanation:
no because the adjacent sides are not perpendicular.
What is the value of x in the equation 1x - y = 30, when y= 15?
Replace y with 15
The equation is now:
1x - 15 = 30
Add 15 to both sides:
1x = 45
Divide both sides by 1
X = 45
Answer: X = 45
Step-by-step explanation:
1x - 15 = 30
add 15 to both sides
1x = 30 + 15
1x = 45
then you have to seperate the 1 from the x, so divide 1 from both sides
45 divided by 1 = 45
so the answer is x = 45
Which of the following reasons can be used to justify statement #3 in the proof?
A Given
B the vertical angel theorem
C the reflexive property of congruence
D SSS
c because it is accuet.
hope it helps
Option C . The reflexive property of congruence is the correct reason that can justify statement 3 . BD≅BD
What is the reflexive property of congruence?The reflexive property of congruence states that every side, every angle, every line segment and every shape is congruent to itself.
To prove that ΔABD is congruent to ΔCBD where given that
1.Line segment AB ≅ Line segment CB (Given)
2. Then we can write AD ≅CD ; Given : D is the mid point of AC
3. line segment BD ≅ Line segment BD , this is true by reflexive property of congruence which states that every line segment or side is congruent to itself.
BD can be considered as side of both the given triangles
Therefore, the reason that can justify statement 3 is option C.
Also, Learn more about the properties of congruence from the link below:
https://brainly.com/question/2039214
#SPJ5
Which expression is equivalent to 243 ?
1
23
23/3
216
23/6
Answer:
B.
Step-by-step explanation:
[tex]24^{\frac{1}{3} }[/tex]
=> [tex](2*2*2*3)^{\frac{1}{3} }[/tex]
=> [tex](2^3*3)^{\frac{1}{3} }[/tex]
=> [tex]2\sqrt[3]{3}[/tex]
