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cestrela7 [59]
2 years ago
14

Find the side lengths of each triangle ​

Mathematics
1 answer:
Levart [38]2 years ago
7 0

Answer:

Step-by-step explanation:

So add the numbers on each side together

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PLEASE HELP
Sholpan [36]
1) We have that the equation is x^2=20y , hence y=x^2/20. The standard equation of such an equation is y=\frac{1}{4p} x^2. Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is x=3y^2 \\  \frac{1}{4p} =3. Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y=y=\frac{1}{4p} x^2= \frac{1}{36 } x^2.
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: y= \frac{1}{4p} x^2 we get y=\frac{1}{32} x^2.
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the formx= \frac{1}{4p} y^2. Substituting p=7, we get x= \frac{1}{28} y^2.
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). -a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378. Thus a=0.378. Hence the correct expressions is y=-0.378*x^2
7 0
2 years ago
Read 2 more answers
Find a real number between 5 and 6
creativ13 [48]
Any fraction in between the two
7 0
3 years ago
Read 2 more answers
Fifty trees grow in a forest. Workers cut down 23 of the trees. Then they plant 38 new ones. After all the cutting and planting,
ololo11 [35]

Answer:

Option A. 65 trees

Step-by-step explanation:

From the question given:

50 trees was in the forest. Then 23 of them were cut down.

The remaining trees = 50 — 23 = 27 trees.

Now 38 new trees were plant.

Total trees after cutting and planting = 27 + 38 = 65 trees

8 0
3 years ago
Read 2 more answers
Which of the following is true given that -4 > -9?
xxMikexx [17]

Answer:

A. -4 is to the right of -9 on a horizontal number line.

Step-by-step explanation:

The order in a number line is:

-9 , -8 , -7 , -6 , -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

As shown above, -4 is to the right of -9 on the horizontal number line.

4 0
3 years ago
(4a-3b) ^2<br><br><br> The last part represents squared
madam [21]

Answer: (4a - 3b)2

Step-by-step explanation:it stays the same because there is no like terms

5 0
3 years ago
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