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3 years ago

Kyle's school is 2.34 mi from his house. One day, he rode his bike 2.5 times that distance

Mathematics

1 answer:

ale4655 [162]3 years ago

5 0

Answer: About or Around 5.85

Step-by-step explanation:

All you do is times 2.34 times 2.5 and you get 5.85

I couldn't work this out on here because I don't know how to get it on the way I want it.

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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

Solve x + x + 2 + 2x = -2.

nikdorinn [45]

4x+2=-2
4x=-2-2
4x=-4
x=-4/4
x=-1

3 0

3 years ago

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"Two purple sea slugs are mated with each other. Among their numerous offspring, 428 have a purple integument and 152 have orang

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Answer:55

Step-by-step explanation:

55x1=55

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3 years ago

(-40) divided by (_)= (-8) what is the missing number?

Tanya [424]

Answer:

Step-by-step explanation:

-40÷5 = -8

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3 years ago

If s and t are integers greater than 1 and each is a factor of the integer n, which of the following must be a factor of n^{st}

andrey2020 [161]

Answer:

E) 1 and 2

Step-by-step explanation:

We are given that there are two integers (s and t) and they are factors of another integer (n). For example if s = 3 and t = 2, we can have n = 6.

Thus:

n^(st) = 6^(2*3) = 6^6 = (2^6)(3^6)

For the first condition: s^t = 3^2 is a factor of (2^6)(3^6)

For the second condition: (st)^2 = (3*2)^2 = 6^2 is a factor of 6^6

For the third condition: s+t = 3+2 = 5 is not a factor of 6^6 or (2^6)(3^6)

Therefore, only 1 and 2 are factors of n^(st)

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3 years ago

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