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Linear-equations/581341: 3.Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form
1 solutions
Answer 371583 by nyc_function(2733)   on 2012-03-02 18:16:31 (Show Source):
You can put this solution on YOUR website!The equation we seek has the same slope as the given equation because we know they are parallel. We use the point-slope formula, the given point (-4,2) and given slope -1. Do you see in your equation -x? There is an invisible -1 next to x.
So, -x is the same as -1x.
The coefficient of x ( the number next to x) is the slope of the line.
y - (y coordinate of your point) = m(x -(x coordinate of your point)
Let m = slope of the line
y - 2 = -1(x -(-4))
y - 2 = -1(x + 4)
y - 2 = -x - 4
y = -x - 4 + 2
ANSWER: y = -x - 2
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Geometry_Word_Problems/581345: if M is the midpoint of PQ, find the value of x
1 solutions
Answer 371580 by nyc_function(2733) on 2012-03-02 17:57:54 (Show Source):
You can put this solution on YOUR website!This question is not complete. To find x, we need to know the distance from P to M and M to Q.
For example:
If PM = x^2 and MQ = 9, we can can find x, by setting x^2 to = 9 and then using our knowledge of algebra to find x. However, you did not provide this data and so this is missing information in your question. Go back and repost the entire question WORD FOR WORD.
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Travel_Word_Problems/581347: Marcus drives from one town to another in 6 hours. on the return trip, his speed is increased by 10 mph and the trip takes 5 hours. Find his rate on the return trip. how far apart are the towns?
1 solutions
Answer 371578 by nyc_function(2733) on 2012-03-02 17:53:18 (Show Source):
You can put this solution on YOUR website!6x = 5(x + 10)
6x = 5x + 50
6x - 5x = 50
x = 50
His going rate = x or 50mph.
His returning rate = 50 + 16 or 60 mph.
The towns are 300 miles apart.
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Percentage-and-ratio-word-problems/579014: Can you help me with soving this: Word problem, The sales person reduced the price 14% to be able to sell the car for $3440. what was the original price of that car. How much was the price reduced?
1 solutions
Answer 370827 by nyc_function(2733) on 2012-02-27 18:02:48 (Show Source):
You can put this solution on YOUR website!Let A = original price of car
A = 100/(100-14) * $3440
A = $4000
How much was the price reduced?
Let R = reduction amount
Original minus selling price
R = $4000 - $3440
R = $560
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Polynomials-and-rational-expressions/578998: 2(b+1)-(6+b)=-5 Justin had 35$ before spending q dollars on Jeans.how much money remains? The translation is ? Solve: 16(x+3)=4(4x+5)+28
1 solutions
Answer 370825 by nyc_function(2733) on 2012-02-27 17:46:44 (Show Source):
You can put this solution on YOUR website!Solve for b:
2(b+1)-(6+b)= -5
2b + 2 - 6 - b = -5
b - 4 = -5
b = -5 + 4
b = -1
Justin had $35 before spending q dollars on Jeans. How much money remains? If he has $35 and spends q dollars, the remaining amount is (35 - q) dollars.
Solve for x:
16(x+3)= 4(4x+5)+28
16x + 48 = 16x + 20 + 28
16x + 48 = 16x + 48
16x - 16x = 48 - 48
0 = 0
Do you see we have the same quantity on both sides of the equation?
This means the answer will always be true for this equation.
Done!
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Human-and-algebraic-language/577710: Tickets for a piano concert sold for $4.50 for each adult ticket. Student tickets sold for $2.00 each. the total receipts for 1720 tickets were $5980. Find the number of adult tickets sold.
1 solutions
Answer 370270 by nyc_function(2733) on 2012-02-24 21:15:38 (Show Source):
You can put this solution on YOUR website!Let a = adult
Let s = student
a + s = 1720
4.5a + 2s = 5980
Solving by substitution method, I got the number of adult tickets sold is 1016 and the number of student tickets sold is 704.
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Volume/577697: I want to build a rectangular tank to hold 125 gallons. What would be the length, width and height
1 solutions
Answer 370267 by nyc_function(2733) on 2012-02-24 20:47:53 (Show Source):
You can put this solution on YOUR website!Volume is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box.
V = length * width * height
Let x = measure of length * width * height
125 = x^3
Take the cube root of both sides of the equation.
cuberoot{125} = cuberoot{x^3}
5 = x
Your rectangular box is actually a square with length 5, width 5 and height 5.
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Triangles/577693: If you are trying to find the measurement of angle C, and the measurement of angle B is 2a and measurement of angle A is a:
1) Find the measure of angle C of a triangle ABC if
a) measurement of angle A= a
b) measurement of angle B= 2a
Can you explain how to do it and solve the problem. Also if the problem said:
2) Find the measerement of angle C of a triangle is
a) measurement of angle A= 60 degrees+a
b) measurement of angle B= 60 degrees-a
1 solutions
Answer 370265 by nyc_function(2733) on 2012-02-24 20:39:55 (Show Source):
You can put this solution on YOUR website!If you are trying to find the measurement of angle C, and the measurement of angle B is 2a and measurement of angle A is a:
1) Find the measure of angle C of a triangle ABC if
a) measurement of angle A= a
b) measurement of angle B= 2a
Let C = measure of angle C.
C = 180 - (a + 2a)
C = 180 - 3a
===========================
Can you explain how to do it and solve the problem. Also if the problem said:
2) Find the measerement of angle C of a triangle is
a) measurement of angle A= 60 degrees+a
b) measurement of angle B= 60 degrees-a
Let C = measure of angle C.
C = 180 - (60 + a + 60 - a)
C = 180 - 120
C = 60 degress.
Done!
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Graphs/577656: I am working on algebra homework involving circles and identifying the center and radius.
I got part of this equation correct, some of it by guessing.
I need assistance figuring out the radius please.
My problem is as follows.
Identify the center & radius of the circle written in standard form.
Center (x,y) ( , )
Radius,
x^2 + (y+5)^2=27
I figured out/guessed, (x,y) is (0, -5)
I dont know how to figure the radius. I have tried 27, 27^2, 729, all incorrect
I am at a loss. I would appreciate any help possible. Thank you.
1 solutions
Answer 370243 by nyc_function(2733) on 2012-02-24 18:35:44 (Show Source):
You can put this solution on YOUR website!You are right in saying that the center is the point (0,-5).
The radius is:
r^2 = 27
Take the square root of both sides.
sqrt{r^2} = sqrt{27}
r = sqrt{9}*sqrt{3}
r = 3(sqrt{3}).
The radius is 3 times the square root of 3.
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Equations/577642: A woman has $2.65 in dimes and nickels. She has 13 more dimes than nickels. How many nickels does she have?
1 solutions
Answer 370236 by nyc_function(2733) on 2012-02-24 18:00:43 (Show Source):
You can put this solution on YOUR website!Here is the system of equations that you need to solve for the total amount of dimes and nickels.
5n+10d = 265
d = 13+n
Use the substitution method to find your dimes and nickels.
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Graphs/574427: What's the differences between using the y=mx+b unlike the formula m=y2-y1/x2-x1 to find the slope?
1 solutions
Answer 369083 by nyc_function(2733) on 2012-02-17 19:40:43 (Show Source):
You can put this solution on YOUR website!A common form of a linear equation in the two variables x and y is y = mx + b,
where m and b are called constants. The origin of the name "linear" comes from the fact that the set of solutions of such an equation forms a straight line in the coordinate plane. In this particular equation, the constant m determines the slope or gradient of that line, and the constant term "b" determines the point at which the line crosses the y-axis, otherwise known as the y-intercept.
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In math, the slope or gradient of a line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline.
Slope is normally described by the fraction of the "rise" divided by the "run" between two points on a given line or linear equation in the form y = mx + b.
The rise is represented by (y2 − y1).
The run is represented by (x2 − x1).
The slope m of the line is found using the formula m = (y2 - y1)/(x2 - x1).
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Permutations/574411: A telephone company wants to create as
many 7-digit phone numbers as possible
without changing the first 3 digits. How
many phone numbers can be created?
1 solutions
Answer 369077 by nyc_function(2733) on 2012-02-17 18:03:49 (Show Source):
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Percentage-and-ratio-word-problems/574409: if i run 2 miles in 15 minutes and 48 seconds. How long would it take to run 1 mile?
1 solutions
Answer 369076 by nyc_function(2733) on 2012-02-17 17:59:16 (Show Source):
You can put this solution on YOUR website!Convert 15 minutes to seconds and then add to 48 seconds to start with.
15 minutes = 900 seconds
Then 900 seconds + 48 seconds = 948 seconds.
Here is the proportion:
2 miles/1 mile = 948 seconds/s
Solving equation for s, where s represents seconds, we get s = 474 seconds.
Convert 474 seconds to minutes by dividing 474/60.
474/60 = 7.9 minutes.
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Quadratic-relations-and-conic-sections/572263: can you visualy show me step by step how to find the vertex of the equation y=5(x+5)(x-2)
1 solutions
Answer 368356 by nyc_function(2733) on 2012-02-13 18:38:27 (Show Source):
You can put this solution on YOUR website!y = 5(x+5)(x-2)
y = 5(x^2 + 3x - 10)
y = 5x^2 + 15x - 50
The vertex we need is in the form (x,y).
To find the x-coordinate, use x = -b/2a.
a = 5 and b = 15
x = -15/2(5)
x = -15/10
x = -3/2
To find y, replace x in the above equation with -3/2 and simplify.
y = 5(-3/2)^2 + 15(-3/2) - 50
y = -245/4
The vertex is the pont (-3/2, -245/4).
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Polynomials-and-rational-expressions/572250: The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 feet wide all around.
a-write an expression for the area of the pool.
b-find the area of the pool when the total width is 10 feet.
c-find the area of the pool when the total width is 9 feet.
please answer a, b, and c!
1 solutions
Answer 368348 by nyc_function(2733) on 2012-02-13 17:47:58 (Show Source):
You can put this solution on YOUR website!Let w = width
Let A = area
A = (w - 2)(3w - 2)...This answers part a.
By the way, the answer for part a can also be given as 3x^2 - 8x + 4 after multiplying the factors (w - 2)(3w - 2).
Part b:
A = (10 - 2)(3(10) - 2)
A = (8)(28)
A = 224ft^2
Part c:
A = (9 - 2)(3(9) - 2)
A = (7)(25)
A = 175ft^2
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