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mr_godi [17]
3 years ago
8

1. If m varies directly as v2 and m = 3, when v =2, calculate the value of m when v =9. (3marks)

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0

Answer:

<h3>m = 2/3</h3><h3>2 \frac{3 \\ }{?}</h3>

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The sum of the digits of a three-digit number is 16 .the tens digit is two more than the units digit and the unit digit is tripl
Anit [1.1K]

Answer:

286

Step-by-step explanation:

If the three-digit number is xyz, then:

x + y + z = 16

y = z + 2

z = 3x

Substitute the third equation into the second:

y = 3x + 2

Substitute this and the third equation into the first:

x + (3x + 2) + (3x) = 16

7x + 2 = 16

7x = 14

x = 2

y = 3x + 2 = 8

z = 3x = 6

The number is 286.

4 0
3 years ago
4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?
Dimas [21]

Answer:

4) The linear equation which could represent its image is y = \frac{3}{4} x + 8 ⇒ (2)

5) The equation of the image of the line is y = \frac{3}{2} x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

4)

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

   the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = \frac{3}{4} x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m =  \frac{3}{4} , so the

   equation after dilation has the same slope

∵ The slope of the line before dilation is  \frac{3}{4}

∴ The slope of the line after dilation is  \frac{3}{4}

∵ The equation that has the slope  \frac{3}{4}  is y =

∴ The equation of the image of the line is y = \frac{3}{4} x + 8

The linear equation which could represent its image is y = \frac{3}{4} x + 8

5)

∵ The equation of the line is y = \frac{3}{2} x - 4

∵ The scale factor of dilation is \frac{3}{4}

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is \frac{3}{2}

- Dilation changes the y-intercept, to find it multiply the scale

  factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by \frac{3}{4}

∵  \frac{3}{4} × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = \frac{3}{2} x - 3

3 0
3 years ago
What’s the correct why to solve
Vaselesa [24]

x^2-y^2=2\\ \underline{x^2+y^2=4}\\\\ 2x^2=6\\ x^2=3\\ x=-\sqrt3 \vee x=\sqrt3\\\\ 3+y^2=4\\ y^2=1\\ y=-1 \vee y=1\\\\ x\in\{(-\sqrt3,-1),(-\sqrt3,1),(\sqrt3,-1),(\sqrt3,1)\}

So, there are 4 solutions.

6 0
3 years ago
SOMEONE PLEASE HELP ME.Mason spends $24 on hotdogs and buns for his graduation picnic. Hotdogs cost three dollars per pack and b
horrorfan [7]
So if he spends 24 spends 24 on the x and y they would be the Same
6 0
3 years ago
Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle of elevation of 42⁰. If the
andrezito [222]

Answer:

845.2 it no that hard

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3 years ago
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