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Aleks04 [339]
4 years ago
8

A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of

this point?
Mathematics
2 answers:
AlladinOne [14]4 years ago
8 0

Answer:

x=9

Step-by-step explanation:

To find the x-coordinate, plug the y-coordinate into the equation and solve from there.

(0 = 2/3x - 6)  (6 = 2/3x)  (18 = 2x)  9 = x

Debora [2.8K]4 years ago
6 0

Answer:

The value of x is 9 when y=0

x-coordinate is 9

Passing point (9,6)

Step-by-step explanation:

We are given the equation of line y=\frac{2}{3}x-6

The line passes through a point whose y-coordinate is 0.

We need to find x-coordinate of passing point whose y-coordinate is 0.

Put y=0 into the equation of line and solve for x

0=\frac{2}{3}x-6

6=\frac{2}{3}x

x=3\times 3 = 9

Passing point (9,6)

Hence, The value of x is 9 when y=0

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What is the inverse function of d(x) = 2x - 4?
zysi [14]

Answer:

d^{-1}(x) = \frac{x+4}{2}

Step-by-step explanation:

let d(x) = y and rearrange making x the subject, that is

2x - 4 = y ( add 4 to both sides )

2x = y + 4 ( divide both sides by 2 )

x = \frac{y+4}{2}

Change y back into terms of x, so

d^{-1}(x ) = \frac{x+4}{2}

7 0
3 years ago
an area of 6 yards is equal to 54 square feet. 9 square yards is equal to how many square feet? explain or show your reasoning
s2008m [1.1K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
A circle has a circumference of 7,850 units. What is the radius of the circle
Snezhnost [94]

Answer: Radius = 1,250

Step-by-step explanation: The circumference of a circle equals the 2 x radius x π.

The formula to solve the radius is 2r x 3.14 = 7,850

Divide both sides by 3.14 = 2r = 2,500

Divide both sides by 2 = r = 1,250.

The radius = 1,250

4 0
3 years ago
Complete the pattern: <br> 43,37,31,25,_,_
Karo-lina-s [1.5K]
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8 0
3 years ago
A retail shop is replacing their flooring with new tile. New tile will go in the point shaded area below. Determine the total sq
galben [10]

Answer:

137 ft²

Step-by-step explanation:

The shop is rectangular in shape. The area of a rectangle is given by:

Area = length * width

Since the length of the shop = 20 ft and the width = 10 ft, therefore:

Area of the shop = length * width = 20 ft * 10 ft = 200 ft²

The part that would not be tiled is of triangular shape. The area of a triangle is given as:

Area = (1/2) * base * height

The base of the triangle = 18 ft, the height = 7 ft. Hence:

Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²

The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part

The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²

8 0
3 years ago
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