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Arada [10]
4 years ago
13

Suppose y varies directly with x. Write an equation if y=75when x=25

Mathematics
1 answer:
ser-zykov [4K]4 years ago
6 0

Answer:

y = 3x

Step-by-step explanation:

The standard format of a directly proportional equation goes by the format of y = k × x. The question asks us to write an equation if y = 75 when x = 25 and y varies directly with x.

So we substitute the values y = 75 and x = 25 in the equation y = k × x

K = constant, we have to work this out

75 = k × 25

75 ÷ 25 = k

k = 75 ÷ 25

k = 3

k = 3 So then we put this back into the original y = k × x to find our final equation which is y = 3x

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7) Find the area of a triangle with a base of 20m and a height of 12m? * 1 point 120 m2 O 100 m2 O 240 im2 60 m2​
SSSSS [86.1K]

Answer:

option A is correct

Step-by-step explanation:

Base=20m

Height=12h

We know that,

  • Area=1/2×Height×Base

╭☞Area=1/2×20×12

╭☞1/2×240

╭☞240/2

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7 0
3 years ago
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FGH, m∠G= 30° and m∠H= 100°. What is the measure of ∠F?
trapecia [35]

Answer:

∠F = 50°

Step-by-step explanation:

The sum of all three angles in a triangle = 180°

∠F = 180° - 30° - 100° = 50°

6 0
3 years ago
Given that f(x) =3x^2 - 6x + 11 ,find the values of a,b and c for which f(x) = a(x - b)^2 + c
V125BC [204]
First you have to complete the square. The first step would be 3x^2-6x=-11. Then you divide -6 by 2 and square the number you get. 3x^2-6x+9=-11+9. 3x^2-6x+9=-2. Factor out the three to get 3(x^2-2x+3)=-2. You can't factor what is in the parenthesis. You should then add two to each side. 3(x^2-2x+3)+2.A = 3B= I don't knowC = 2
3 0
4 years ago
Find the indefinite integral by using the substitution x = 4 sec(θ). (Use C for the constant of integration.) x2 − 16 x d
guapka [62]

Answer:

\frac{x^2-16}{2} + 16ln\frac{4}{x}  +16C

Step-by-step explanation:

Given the indefinite integral \int\limits{\frac{x^2-16}{x} } \, dx, using the substitute

x = 4 sec(θ)...1

The integral can be calculated as thus;

First let us diffrentiate the substitute function with respect to θ

dx/dθ = 4secθtanθ

dx =  4secθtanθdθ... 2

Substituting equation 1 and 2 into the integral function we will have;

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Find the remaining solution in the attachment.

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3 years ago
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