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3 years ago

Write an equation for the translation of y = |x|. 6 units down A.y = |x| + 6 B.y = |x| – 6 C. y – 6 = |x| D.y = |–6x|

Mathematics

2 answers:

MrRa [10]3 years ago

7 0

I believe it is B, because going down would be negative, and it is subtracting 6.

alexdok [17]3 years ago

7 0

Letter B is the correct answer I think

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In circle L, points E and F lie on the circle such that E, F and L are not collinear. If LE, LF and EF are drawn then which of t

frozen [14]

Answer:

<u>option (2) it is and isosceles triangle. </u>

Step-by-step explanation:

In circle L, points E and F lie on the circle such that E, F and L are not collinear

If LE, LF and EF are drawn

So, LE = EF = the radius of the circle L

So, LEF is an isosceles triangle.

The answer is option (2) it is and isosceles triangle.

8 0

3 years ago

A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

3 years ago

Which of the following must be true?

meriva

Answer:

BC < ED ⇒ answer A

Step-by-step explanation:

* Lets revise some facts in the triangle

- If one side of a triangle is longer than another side, then the angle

opposite the longer side will be larger than the angle opposite the

shorter side

- If one angle in a triangle is larger than another angle in a triangle,

then the side opposite the larger angle will be longer than the side

opposite the smaller angle

* Lets solve the problem

- In the two triangles BCD and DEB

∵ CD = 8 and BE = 8

∴ CD = BE

∵ Side BD is a common side in the two triangles

- The third side in Δ BCD is BC and the third side in DEB is DE

∵ BC is the opposite side to the angle of measure 24°

∵ ED is the opposite side to the angle of measure 30°

∵ The measure 24° < the measure 30°

∴ The side opposite to the angle of measure 24° < the side opposite

to the angle of measure 30°

∵ The other two sides of the 2 triangles BCD and DEB are equal

∴ We can compare between the 3rd sides in the Δ BCD and Δ DEB

∴ BC < ED

7 0

2 years ago

What is 732 millimeters in meters

Schach [20]

7.32 meters. i hope this helps

8 0

3 years ago

Read 2 more answers

In a right –angled triangle, the length of hypotenuse and shorter sides are 13 cm and 5 cm respectively. Work out the other side

stellarik [79]

Answer: The other side is 12 cm.

Step-by-step explanation:

$a^{2} + b^{2} = c^{2}$
$a^{2} + (5)^{2} = (13)^{2}$
$a^{2} + 25 = 169$
$a^{2} = 144$
$a = \sqrt{144}$
$a = 12$

7 0

2 years ago