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alisha [4.7K]
2 years ago
9

It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find

(i) the value of y when x = : 12, (ii) the value of x when y = 42.​
Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

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Simplify. (√5+4) (√5 - 2)​
son4ous [18]

Answer:

2√5 - 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(√5 + 4)(√5 - 2)

<u>Step 2: Simplify</u>

  1. Expand [FOIL]:                                                                                                  (√5)² - 2√5 + 4√5 - 8
  2. Combine like terms:                                                                                           (√5)² + 2√5 - 8
  3. Evaluate exponents:                                                                                        5 + 2√5 - 8
  4. Combine like terms:                                                                                         2√5 - 3
6 0
2 years ago
Read 2 more answers
Find the value of r so that the line through (8,r) and (4,5) has a slope of -4
Ratling [72]

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = \frac{r-5}{8-4} = \frac{r-5}{4} = - 4 ( multiply both sides by 4 )

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r = - 11

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2 years ago
HeLp PleAsE!!!!!!!!!!!!!!!
VLD [36.1K]

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Step-by-step explanation:

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3 years ago
In a triangle shown, which shows the correct order of the side lengths from smallest to largest.
Vera_Pavlovna [14]

Answer:

Not sure if there are options, but the order of side lengths from smallest to largest is <u>j, k, l</u>

Step-by-step explanation:

This is a bad explanation (sorry):

Side length order will be the same order of angle orders. By that, I mean the since angle C has the smallest angle, the side length across from it will also be the smallest. Since angle B is the biggest angle, side L will be the biggest length. This leaves angle A (and side k) in the middle.

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3 years ago
Evaluate the expression for the given values of the variables.
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Substitute the given values into the expression

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= 50 + 33

= 83 → A

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