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larisa86 [58]
3 years ago
7

In which direction does the parabola open?

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0
For this question it opens upwards in
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Question 9: Please help, what would be the length of the image of the segment GH?
shepuryov [24]

Answer:

<u><em></em></u>

  • <u><em>The length of the image of the segment GH would be 5 units.</em></u>

Explanation:

You can use the <em>center of dilation</em> as your origin of coordintes.

Thus, the <em>point H</em> would have coordinates (0,0) and the <em>point G</em> (-1,0).

A <em>dilation</em> multiplies the coordinates by the <em>scale factor</em>. Hence:

  • H = (0,0) → H' = 5 × (0,0) = (0,0)
  • G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)

Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.

3 0
3 years ago
Read 2 more answers
Find the slope and the y-intercept of the line.<br> y=2x-7
Alecsey [184]

Answer:

slope is 2 or 2/1 and y intercept is -7

Step-by-step explanation:

y=mx+b

mx= slope

b= y intercept

8 0
3 years ago
Read 2 more answers
Kenneth has 2,000$ to invest
Katarina [22]

The calculations for 2, 4, 8 year can be derived as follows,

For simple interest:

                   S.I = \frac{P*T*R}{100}

P= principle

T= Time

R= Rate

For 2 year;

            S.I = \frac{2000*2*5.6}{100}=  $224

           Amount = $2224

For 4 year;

            S.I = \frac{2000*4*5.6}{100}= $448

           Amount = $2448

For 8 year;

             S.I = \frac{2000*8*5.6}{100}= $896

           Amount = $2896

7 0
3 years ago
Bippity boppity pls help me find this functions property
Semmy [17]

Answer:

Period ⇒ 40

Amplitude ⇒ 12

Mid-line ⇒ 32

Step-by-step explanation:

The table is counting by 4's and the period is the amount of space between 2 peaks. In this scenario, we can find the peaks by looking for two of the same highest value (44). We can see that x=40 has a value of 44 while the other is actually not shown because it would be located at x=0. Therefore the period is 40

<u />

The amplitude can be found by using the following:

\frac{1}{2}|max - min|

Our maximum is 44 and our minimum is 20.

\frac{1}{2}|44 - 20|

\frac{1}{2}|24|

\frac{1}{2}(24)

The amplitude is 12

The amplitude is the distance from the peak to the mid-line. To find the mid-line, we can either subtract our amplitude from our maximum value (44) or add our amplitude to our minimum value (20)

44 - 12 = 32

20 + 12 = 32

Therefore our mid-line is y = 32

~Hope this helps!~

4 0
3 years ago
Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui
andre [41]

Answer:

August made the recipe using the <em>incorrect</em> ratio

Step-by-step explanation:

* Lets explain how to solve the problem

- Sally's recipe is a combination of lemonade and fruit

- Sally uses 6 cups of lemonade for every 8 cups of fruit

∵ Sally uses 6 cups of lemonade for every 8 cups of fruit

∴ The ratio of sally recipe is 6 : 8

- Simplify the terms of the ratio by divide them by 2

∴ The ratio of sally recipe is 3 : 4

- August made a recipe with 35 cups of liquid total

- He made 15 cups of them lemonade

∵ The total number of cups August made is 35

∵ 15 of them are lemonade

∴ The number of fruit cups = 35 - 15 = 20 cups

∵ August mad 15 cups of lemonade for every 20 cups of fruit

∴ The ratio of August recipe is 20 : 15

- Simplify the terms of the ratio by divide them by 5

∴ The ratio of August recipe is 4 : 3

∵ The ratio of Sally recipe is 3 : 4

∵ The ratio of August recipe is 4 : 3

∵ The ratio 3 : 4 ≠ the ratio 4 : 3

∴ August made the recipe using the <em>incorrect</em> ratio

6 0
3 years ago
Read 2 more answers
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