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3 years ago

A(-3,2) B(5,-4) midpoint is (1,-1)

1 answer:

7 0

$CHECK:\\\\the\ midpoint\ AB:\left(\frac{-3+5}{2};\ \frac{2-4}{2}\right)=\left(\frac{2}{2};\ \frac{-2}{2}\right)=(1;-1)\\-------------------------------\\C(x;\ y)\\\\the\ midpoint\ AC:\left(\frac{-3+x}{2};\ \frac{2+y}{2}\right)\\\\B\ is\ the\ midpoint\ AC\ then:\\\\\frac{-3+x}{2}=5\ and\ \frac{2+y}{2}=-4\\\\-3+x=10\ and\ 2+y=-8\\\\x=10+3\ and\ y=-8-2\\\\x=13\ and\ y=-10\\\\Solution:C(13;-10).$

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What number could t represent to make the inequality true? 2t+4<-8

Anna71 [15]

2t + 4 < -8

2t < -12

t < -6

For the inequality to be true, t must be a number that is less than -6.

Hope this helps!

6 0

2 years ago

Pls can someone help me with this, and please explain why?

kolezko [41]

C is the correct answer. It can’t be D because negative can’t be under radical.

Hope this helps!

5 0

3 years ago

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Find the volume of the cone. Use the symbol pi in the calculator Round to the tenths

Tanya [424]

Answer:

209.4 mm³

Step-by-step explanation:

V = (πr²h)/3

V = (200π)/3

Plug it into a calculator to get 209.4.

6 0

3 years ago

) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

3 years ago

Is 3/10 greater than 5/10

storchak [24]

3 of anything is almost always less than 5 of the same thing.
That's true for cows, rocks, trees, fish, salt-shakers, and babies.
I can't think of any object where it wouldn't be true.
Why wouldn't it be true for tenths ?

Let me say it another way:

No. 3/10 is <em>less than</em> 5/10 .

3 0

3 years ago

Read 2 more answers