Parent function of h(x)=|x+5|-2

Mathematics

1 answer:

gavmur [86]3 years ago

3 0

Answer:

g(x)=|x|

Step-by-step explanation:

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What is the x-coordinate of the red point

Katarina [22]

Well, an x-coordinate is the horizontal line on a grid. The y-coordinate is the vertical line on the grid. You would have to show us the grid to answer that question.

6 0

3 years ago

An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak

gregori [183]

Answer:

17.9 m/s

Step-by-step explanation:

Volume of the slick = 0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V = 0.5 x π r² h

0.5= 0.5 x π x r² x 10⁻⁶

r² = 10⁶/ π

r = 10³/√π

dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt = πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r= 10³/√π

dr/dt= rate of expansion of the slick

Substituting into (3);

0.1 = π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)

= 17.9479 m/s

≅ 17.9 m/s

8 0

3 years ago

URGENT...

MatroZZZ [7]

The center of the dilation is the origin, and the scale factor is 2.

To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.

Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.

So, the coordinates are:

X'(8, 0); Y'(6, 4); Z'(4, -4).