Answer:
B) 8 and 24.
Step-by-step explanation:
Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.
Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.
Their difference is 16. Hence:
The first number is three times the second number. So:
Substitute:
Solve for <em>b</em>. Subtract:
And divide both sides by two:
So, the second number is 8.
And since the first number is three times the second, the first number is 24.
Our answer is B as expected.
2³-4²
= 8-16
=-8
Hopefully this helps! Good luck! :)
Answer:
Area = (36π - 12πx + x²π) mm²
Step-by-step explanation:
Given that,
radius of lense = 6mm
Length from outer layer of pupil to lense = x mm
Radius of pupil = 6 - x mm
<h3>
Formula to calculate area of pupil</h3><h3>
Area = π r²</h3>
<em> where r is radius of pupil</em>
Area = π (6 -x)²
Area = π (6² -2(6)(x) + x²)
Area = π (36 -12x +x²)
Area = (36π - 12πx + x²π) mm²
So, the polynomial in standard form that represent the area of pupil in terms of π = (36π - 12πx + x²π) mm²
Answer:
1. true
2. False
3. False
4. True
Step-by-step explanation:
We'll use elimination for this system of equations. What variable should get canceled? The x or y? Well to cancel, we need a positive and negative variable.
x + y = 10
x - y = 0
In this case, the y's will cancel out.
Then we will add the x's together and the 10 and 0.
x + y = 10
x - y = 0
Becomes
2x = 10
Now, solve for x. Just simply divide by 2.
2x / 2 = 10 / 2
x = 5
Now we know what the x variable is equal to!
To solve for the y variable, just replace the x variable in one of the equation and solve for y.
I'll use the x + y = 10 equation
We know x is equal to 5.
5 + y = 10
Subtract both sides by 5.
5 - 5 + y = 10 - 5
y = 5
So, both x and y are equal to 5.
