The 2 marked angles are alternate angles and so they are equal.
Therefore:- 3x + 5 = 65
3x = 60
x = 20 (answer)
Answer:
Step-by-step explanation:
We will first find the derivative of the function to get the formula for the slope of the tangent. Using implicit differentiation, we find that:
and
Solving for the derivative and at the same time simplifying within the parenthesis:
so
If our tangent line is vetical, that means that the slope is undefined. Our slope is undefined where y = 0. Therefore, we need to find x when y = 0 in our original equation. If y = 0, then
becomes
and
That means that x = 0 (we divide away the negative on the x, and since 0 isn't negative or positive, we get that x^4 = 0)
That means that the point at which the tangent is vertical is (0, 0)
Answer:
Shop A = 113 pence
Shop B = 101 pence
Step-by-step explanation:
Given :
Shop A :
5kg for £5.65
Shop B:
2kg for £2.02
Price per kg :
weight / price
100 pence = £1
Shop A :
Price of 1kg :
5.65 / 5 = £1.13 = 113 pence
Shop B:
2.02 / 2 = £1.01 = 1.01 * 100 = 101 pence
I think the answer is 4.5 hours. Equation: y = 2x + 16.5.
Where y represents the total area painted by each person and x represents the time.
There's multiple ways to solve systems of equations, but one method is well suited to this particular problem.
Subtract one entire equation from the other, as in: y = 2x + 16.5 - y = 4x + 7.5 ---------------------- 0 = -2x + 9
Then solve for x, using basic algebra: 2x = 9 x = 9 / 2 x = 4.5
To check your answer, you can plug the x value into both equations: 2 (4.5) + 16.5 = 25.5 4 (4.5) + 7.5 = 25.5 This proves that, at 4.5 hours later, both Naomi and Claire will have painted 25.5 square feet each.
You could also check the answer by graphing both equations and finding the point where the line meets. You will see that the intersection point is (4.5, 25.5).
Hoped I helped!
Answer:
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Step-by-step explanation:
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