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2 years ago

Given the following information, what is the length of side YZ? Triangle ABC is similar to Triangle XYZ, AB = 5, AC = 6

Mathematics

1 answer:

Firlakuza [10]2 years ago

7 0

Answer:

xyz= 456

Step-by-step explanation:

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Quadrilateral ABCD is dilated by a scale factor of 1/3 centered around (1,2). Which statement is true about the dilation

morpeh [17]

Answer:

I cannot help answer this question if you don't add the statements...

Step-by-step explanation:

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3 years ago

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Turn this percent into a decimal: 45%

TEA [102]

Answer:

o.45

Step-by-step explanation:

any time you have a precent just put 0. infront of the number.

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3 years ago

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A kangaroo hops 2 kilometers in 3 minutes. At this rate, how far does the kangaroo travel in 2 minutes? *

Dmitrij [34]

Answer:

At a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would travel 1,333 km.

Step-by-step explanation:

If a kangaroo hops 2 kilometers in 3 minutes, to calculate how much distance this animal hops in 2 minutes, the following calculation should be performed:

2 km / 3 min = 0.666 km per minute (2/3 x 2)

0.666 km per minute x 2 minutes = 1.333 kilometers in 2 minutes (0.666 x 2)

Therefore, at a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would hop 1,333 km.

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3 years ago

Sort all the numbers into the correct boxes.

aev [14]

Answer:

multiple of 4 : 8, 12

not a multiple of 4 : 2 , 18

prime : 3, 11

not prime : 9, 15

Step-by-step explanation:

First you need to know even number.

even number is (2,8,12,18 )

next odd number (3,9,11,15)

after that find number that is multiple of 4.

multiple of 4 is 4, 8,12,16,20,24,28 and so on

so its the number of multiple of 4 is ( 8 and 12)

and the number that is not a multiple of 4 is (2,18)

next odd number, odd number is ( 3,9,11,15)

next you should know prime number,

prime number is 3, 5,7,11,13,17,19 .....

so the answer for prime number for odd number is

( 3 and 11)

next is not prime number (9 and 15)

3 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

3 years ago