Which two points on the number line are opposites?

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the

Effectus [21]

310 is your answer. hopefully this helps :)

5 0

3 years ago

Help me please?? solve using proportion

gulaghasi [49]

9514 1404 393

Answer:

2 1/2 cups

Step-by-step explanation:

A proportion says the ratio of one thing to another is the same for different amounts. Here, we want cups, so we can use the proportion ...

cups/people = 2/12 = x/15 . . . . . where x is the number we want to find

Multiplying by 15 gives ...

x = 15(2/12) = 5/2 = 2 1/2

You will need 2 1/2 cups of zucchini to feed 15 people with the same recipe.

6 0

3 years ago

The perimeter of a rectangle is 70 inches. If its length is four times its width, find the dimensions. Write an equation and sol

katen-ka-za [31]

Answer: Length = 28cm

Width = 7cm

Step-by-step explanation:

Let the width be represented by x.

Since the length is four times its width. Therefore, the length would be:

= 4 × x = 4x

The perimeter of a rectangle is calculated as:

= 2(length + breadth)

Therefore, 2(4x + x) = 70

2(5x) = 70

10x = 70

x = 70/10

x = 7

Therefore, width = 7cm

Length = 4x = 4 × 7 = 28cm

5 0

3 years ago

use the information provided to write the standard form equation of each hyperbola vertices:(4,14), (4,-10) foci: (4,15), (4,-11

Evgen [1.6K]

So... if you notice the picture below, based on the given vertices, is a hyperbola with a vertical traverse axis

meaning for the equation, the fraction with the "y" variable is the positive fraction, thus $\bf \cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1$

so... what' the point h,k for the center? well, just take a peek at the graph, the center is half-way between both vertices, that's h,k

what's the "a" component or the traverse axis... well, is the distance from one vertex to the center, notice the picture, notice how many units from either vertex to the center, that's "a"

now.. what's "b"? well, "b" comes from the conjugate axis, or the other runnning over the x-axis hmm the smaller one in this case.... well, we dunno what "b" is

however, we know the distance from either focus, to the center of the hyperbola, and that distance "c", is $\bf c=\sqrt{a^2+b^2}$

notice the picture, notice the distance from either focus to the center, that's the distance "c", thus $\bf c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b$

that'd be "b"

bearing in mind that $\bf \cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center= ({{ h}},{{ k}})\\\\ b=\sqrt{c^2-a^2}
\end{cases}$