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First find the slope.
Let m = slope
m = (10 - 6)/(7 - 5)
m = 4/2
m = 2
The slope is 2.
We now use the point-slope formula. In the point-slope formula, we use one of the given points and the slope.
y - b = m(x - a)....This is the point-slope formula.
I will use (5,6), where a = 5 and b = 6. The slope is 2.
y - 6 = 2(x - 5)
y - 6 = 2x - 10
y = 2x - 10 + 6
y = 2x - 4
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Multiply both sides of the equation by the LCD.
LCD = (x)(x + 4)
[3/(x+4)] *(x)(x + 4) = (2/x) * (x)(x + 4)
3x = 2(x + 4)
3x = 2x + 8
3x - 2x = 8
x = 8
================================================
The Proof:
Let x = 8
3/(8+4)= 2/(8)
3/12 = 2/8
1/4 = 1/4...It checks!!
We can now say with certainty that the right answer is x = 8.

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Your hyperbola is of the form y^2/b^2 - x^2/a^2 = 1.
We need to find a and b to start with.
b^2 = 4
sqrt{b^2} = sqrt{4}
b = 2
a^2 = 49
sqrt{a^2} = sqrt{49}
a = 7
We now know that a = 7 and b = 2.
The foci will be points (-c,0) and (c,0). This means we need to find c.
We can c using c = sqrt{a^2 + b^2}.
c = sqrt{7^2 + 2^2}
c = sqrt{49 + 4}
c = sqrt{53}
The foci are (-sqrt{53}, 0) and (sqrt{53}, 0).
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To find the x-intercept, let y = 0 and solve for x.
y + 12 = x^2 + x
Let y = 0
0 + 12 = x^2 + x
12 = x^2 + x
Subtract 12 from both sides.
0 = x^2 + x - 12
We now factor the quadratic equation.
0 = (x - 3)(x + 4)
Set each factor to zero and solve for x.
x - 3 = 0
x = 3
x + 4 = 0
x = -4
The x-intercepts are x = 3 and x = -4.
Did you follow?
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By the way, if you ever need to find the y-intercepts, let x = 0 and solve for y.

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$31,200 is the dealer cost
x is the cost of the car
x+.25x = 39,000
1.25x = 39,000
39,000/1.25
x=31,200

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First of all, there is no equation here. You cannot have an equation without the EQUAL sign. Secondly, you must multiply every member of (y^2-9) by every member of(9y^2-9y+8). Afterwards, simplify by combining like terms. Thirdly, the first-two terms are correct. The last term is correct but terms 3 and 4 in your answer are not right.
Let's do it term by term.
y^2 * 9y^2 = 9y^4
y^2 * -9y = -9y^3
y^2 * 8 = 8y^2
I have completed the multiplication for the y^2 term.
-9 * 9y^2 = -81y^2
-9 * -9y = 81y
-9 * 8 = -72
I have completed the multiplication for the -9 term.
We now have the following:
9y^4 - 9y^3 + 8y^2 - 81y^2 + 81y - 72 =
We now combine like terms and that's it.
9y^4 - 9y^3 -73y^2 + 81y - 72
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Use the same rules that apply to regular multiplication of fractions. You must also use the rules for division of exponents.
(5y^6/3v^4) * (9v^6/25y) =

25/5 = 5
y^6/y = y^5
9/3 = 3
v^6/v^4 = v^2
The left side fraction becomes (y^5/1) and the right side fraction becomes
(3v^2/5).
We now multiply numerator with numerator and denominator with denominator.
(y^5/1) * (3v^2/5) = (3v^2y^5)/5
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Let b = bags of concrete
0.05b + 7(0.23) = 0.12(b + 7)
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I = PRT is the formula you need.
NOTE: T = time (in years)
3 months = 3/12 or 1/4 years
We are searching for I.
I = (20,000)(0.16)(1/4)
I = $800

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Let p = perimeter
Let L = length
Let w = width
p = 2L + 2w
6x + 6 = 2L + 2x
6x + 6 - 2x = 2L
4x + 6 = 2L
(4x + 6)/2 = L
2x + 3 = L

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Slopes of perpendicular lines are negative reciprocals of each other.
Your given slope is 3/5. The slope of the equation we want to find is -5/3.
We use the point-slope formula: y - a = m(x - b), where the given point (5,2) represents the general point (b,a).
NOTE: I used a and b to represent the given point but you can use any two letters of choice.
Let m = -5/3
Let a = 2
Let b = 5
y - 2 = (-5/3)(x - 5)
y - 2 = (-5/3)(x) + (25/3)
y = (-5/3)(x) + (25/3) + 2
y = (-5/3)(x) + (31/3)

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STEPS:
1-replace x with each given number (one at a time)
2-simplify the function to find values for y
The values for y is your range. The domain of the function are the x values.
Can you take it from here?

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0.25x + 0.40x = 0.30(2x + 60)
Can you finish?

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Let a = measure of fourth angle
45 + 135 + 135 + a = 360
Can you find a?

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You need an equation for what? Do you mean the distance formula? If so, it is
D = rate * times

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C = 2pir
64 = 2pir
64/2pi = r
32/pi = r
==========
ach length = 45*(32/pi)(pi/180)
Can you finish? Just multiply the right side of the equation.

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Use the point-slope formula.
y - a = m(x - b)
(2,1) = (b,a)
y - 1 = -2(x - 2)
y - 1 = -2x + 4
y = -2x + 4 + 1
y = -2x + 5

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sqrt{7a} + 2(sqrt{175a^3}) =
sqrt{7a} + 2*sqrt{25}*sqrt{7}*sqrt{a^2}*sqrt{a} =
sqrt{7a} + 10a*sqrt{7a}
Both radicals cannot be added because although both have the same radicand, one has 10a and the other does not.
Final answer: sqrt{7a} + 10a*sqrt{7a}

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No, positive and positive do not cancel each other out.
When + and - are placed together, they cancel each other out because by being together, they becomes zero everytime.
=======================================

If + and + do not cancel, what happens in terms of which math operation? Do you understand? Your question is not complete.
Are you talking about addition, subtraction, multiplication oor division?

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Rewrite 25 s 5^2.
(5^2)^(2x - 1) = 5^(5x + 1)
5^(4x - 2) = 5^(5x + 1)
Since we now have the same base 5 on both sides, we simply bring down the exponents and solve for x.
4x - 2 = 5x + 1
Can you find x now?

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You have a system of linear equations in two varables.
I will set it up and you can work out the math.
Let a = adult ticket price
Let c = children ticket price
3a + 4c = 121
2a + 3c = 86

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Do you mean D = 1.2?
If so, D = distance and h = height
Divide both sides by 1.2.
D/1.2 =
Square both sides to find h.
(D/1.2)^2 = []^2
D^2/1.44 = h
=============================
To find how far a person can see, replace h with 14255 in the original equation and solve for D.
D = 1.2
D = 143.27 feet

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R= monthly instalment
i =18/(100x12)= 0.015
n = 3x12 = 36 months
use the formula
A = R[(1+i)^n -1]/i
5000 = R[(1.015)^36 - 1]/ 0.015
R = {5000x0.015}/ [(1.015)^36 -1}
use calculator
R = $105.76

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Did you try searching for the surface area of a cylinder with a circular base online?
Let A = surface area of cylinder with circular base
Let r = 7
Why 7? If the diameter is 14, the radius is 1/2 of the diameter length and so 14 times 1/2 = 7.
Let h = 14
Let pi = 3.14
The formula to use is A = 2pi(r^2) + 2pirh.
Just plug and chug.
Here is the set up and you can do the math to find A.
A = 2(3.14)(7)^2 + 2(3.14)(7)(14)
Can you finish?
Just use your calculator to find A.

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N = Pk
We need to find k (the constant of proportionality) as step one.
18,088 = 56k
18,088/56 = k
323 = k
================================================================
We now let k = 323 and P = 1,965,000. We need to find N in the equation
N = Pk
N = (1,965,000)(323)
N = 634,695,000
Did you follow?
This is a direct variation word problem.

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Let b = bags of cement
0.10b + 8(0.125) = 0.11(b + 8)
Can you take it from here?
I gave you the equation that you'll need to find the answer.

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Let m = slope
m = (249 - 151)/(1976 - 1936)
Can you do the math and find the slope?

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Use A = L*W
Let A = 40,000
Let L = 2x + 200
Let W = x
40,000 = (2x + 200)(x)
Can you take it from here?

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Let P = probability
There are only 12 numbers listed as 1-12.

PART (A)
P(18) = what? It must be zero because the highest number on the list is 12.
P(18) = 0
PART B:
P(9) = 9/12 or 3/4
PART C:
P(10) = 10/12 or 5/6
I hope this helps.

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Length = 4x
Width = x
Area = 324
324 = (4x)(x)
324 = 4x^2
324/4 = x^2
81 = x^2
sqrt[81] = sqrt[x^2]
9 = x
We find the perimter using P = 2L + 2W.
P = 2(4x) + 2(x)
P = 2(4*9) + 2(9)
P = 2(36) + 18
P = 72 + 18
P = 90 yards

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Let A = angle
Let (90 - A) = the complement of the angle
A = 2(90 - A)
Can you take it from here?