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2 years ago

The parabola y=x^2 is scaled vertically by a factor of 5/2. What is the equation of the new parabola?

Mathematics

2 answers:

Natalka [10]2 years ago

7 0

Answer:

y=5/2x^2

Step-by-step explanation:

Ray Of Light [21]2 years ago

4 0

For this case we have the following transformation:
Assume k> 0
To graph f (x) + k, move the graph k units up.
Applying the transformation we have:
y = x ^ 2 + 5/2
Answer:
The equation of the new parabola is:
y = x ^ 2 + 5/2

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A line has no thickness, but it does have direction and ___ length. (Fill in the blank)

Mandarinka [93]

A line has no thickness, but it does have direction and infinite length.

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.

Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.

In cartesian plane the general equation of a line is given by :

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3 0

1 year ago

A building contains two elevators, one fast and one slow. The average waiting time for the slow elevator is 3 min. and the avera

cupoosta [38]

Answer: The expected waiting time is $1\dfrac{2}{3}\ min$

Step-by-step explanation:

Since we have given that

Average waiting time for slow elevator = 3 min

Average waiting time for fast elevator = 1 min

probability that a person choose the fast elevator = $\dfrac{2}{3}$

Probability that a person choose the slow elevator = $\dfrac{1}{3}$

So, the expected waiting time would be

$E[x]=\sum xp(x)=3\times \dfrac{1}{3}+1\times \dfrac{2}{3}\\\\=1+\dfrac{2}{3}\\\\=\dfrac{3+2}{3}\\\\=\dfrac{5}{3}\\\\=1\dfrac{2}{3}\ min$

Hence, the expected waiting time is $1\dfrac{2}{3}\ min$

8 0

2 years ago

The perimeter of a standard-sized rectangular rug is 28 ft. the length is 2 ft longer than the width. find the dimensions.

Solnce55 [7]

28=(2+x)+x
-2 -2
_________
26=x+x
26=2x
Divide both by 2
13=x
length=15 width=13

5 0

3 years ago

Conti. 7-10 thanks a lot! unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

3 0

2 years ago

Six friends share 8 fruit bars equally. How many fruit bars does each friend get?

mixer [17]

Answer:

0.75 friends per fruit

Hope this helps

8 0

3 years ago

Read 2 more answers