If point P(2,-4) is reflected over the y-axis, determine the coordinates the image.

Mathematics

1 answer:

Katen [24]3 years ago

4 0

Point P wold end up being ( -2,-4)

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In △ABC the points M and N belong to the sides AC and AB respectively. AM= 1/3 AC, AN= 1/3 AB, BC=15. Find MN

Oliga [24]

$Answer: \\ We \: have \: \frac{AM}{AC} = \frac{1}{3} , \frac{AN}{AB} = \frac{1}{3} ,\hat{A} \: is \: a \: shared \: angle \\ \Rightarrow \bigtriangleup AMN \cong \bigtriangleup ACB \\ \Rightarrow MN = \frac{1}{3} BC = \frac{1}{3} \times 15 = 5$

8 0

3 years ago

the length of a rectangle is 4 inches greater than the width. the perimeter of the rectangle is 24in what are the dimensions of

Murljashka [212]

Let's say:
lengh=x
width=y

"The length of a rectangle is 4 inches greater than the width."
That means: x=y+4 (in inches).

the parameter is (by definition) 2*lenght+2*width.

so we have 2*x+2y=24.
we also know that x=y+4

Substituting:

2*(y+4)+2y=24.
2*y+8+2y=24
4*y+8=24//substitute 8 from both sides
4*y=16//dividing both sides by 4.

y=4
So the width is 4!

The lenght is y+4=8!
the dimensions are 4 by 8.
(check: 2*4+2*8=24, correct!)

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4 years ago

Theo containers designed to hold water are side by side, both in the shape of a

OlgaM077 [116]

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

We have given that the shape of a

cylinder Container A has a diameter of 30 feet and a height of 18 feet.

diameter =30 feet and height =18 feet

Therefore

$radius=\frac{d}{2} \\\\radius=\frac{30}{2} \ \\\\radius=15$