Answer:
y = -5 and x = -17
Step-by-step explanation:
We want to solve these two equations,
x = 3y - 2
x = 5y + 8
We can see that they both equal x so we want make them equal to each other so,
→ 3y - 2 = 5y + 8
⇒ Subtract 5y from both sides to collect the 'y' terms
→ -2y - 2 = 8
⇒ Add 2 both sides to collect the numerical terms
→ -2y = 10
⇒ Divide both sides by -2 to isolate y
→ y = -5
Now that we have found the value of y we can substitute this value into one of the 2 equations we have to find the value of x
⇒ We know that y = -5 so lets substitute that into x = 3y - 2
→ x = 3 × -5 - 2
⇒ Simplify
→ x = -15 - 2
⇒ Simplify further
→ x = - 17
Given Information:
Volume of candle = V = 75 in³
Height of candle = h = 6 in
Required Information:
Radius of candle = r = ?
Answer:
Radius of candle = r = 2 in
Step-by-step explanation:
Recall that the volume of a cylindrical shape is given by
Where V is the volume, r is the radius and h is the height
Re-arrange the above equation for radius
Now substitute the given values into the above equation
Rounding to the nearest inch
Therefore, the radius of this candle is 2 inches.
Hello!
To solve this, you are trying to convert one side to a quadratic equation and the other to just 0. Then, solve the equation.
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First, move the /2 to the other side of the equation.
(a+1)/2 = 1/a
a+1 = 2/a
Next, multiply both sides by a.
a+1 = 2/a
And then subtract both sides by 2. This will get you to a quadratic equation.
Now, factor the equation. When we're factoring, we are looking for the form (a + b)(a + c), where b + c must equal 1 (the coefficient of a) and b*c must equal -2. In this case, b = 2, and c = -1.
Therefore:
(a + 2)(a - 1) = 0
To get the answer, recall that anything multiplied by 0 is equal to 0. Therefore, to get the left side to equal 0, either (a + 2) or (a - 1) must equal 0. To do this, a must either be -2 or 1.
Therefore, a = -2, or a = 1.
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Check your work:
(-2 + 1)/2 = 1/-2
-1/2 = -1/2
(1 + 1)/2 = 1/1
2/2 = 1/1
1 = 1
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Hope this helps!
Answer:
Yes that is very much correct y'know thanks for the free points
Step-by-step explanation:
Answer:
Step-by-step explanation:
Line passes through (0,0) and (-1,4) .
Slope = -4
Equation of line is : y - 0 = - 4(x - 0)
y = - 4x