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Furkat [3]
1 year ago
5

Rectangle ABCD is symmetric with respect to y-axis. Points A and B belong to the parabola y=x2. Points C and D are on the parab

ola y=−3x^2+k. Find k if the area of the rectangle is 66 and length of AB is 6.

Mathematics
1 answer:
Papessa [141]1 year ago
6 0
Notice the picture below

so.. whatever the parabola y= -3x²+k is, will pass over (3,-2) and (-3,-2)

so.. .let us pick say hmmm 3,-2
thus \bf y=-3x^2+k\qquad 
\begin{cases}
x=3\\
y=-2
\end{cases}\implies -2=-3(3)^2+k

solve for "k"

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8 0
2 years ago
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Express Rs 1.50 as a percentage of 200 cents
Juli2301 [7.4K]

1 $ = 100 cents

1.5 $ = 150 cents

1.50 $ a percentage of 200 cents = (150/200)100= 75%

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1 year ago
Which of the following expressions are equivalent to −5.93+(−8.62)+5.93?
vampirchik [111]

Answer:

  • A, B, C, D

Step-by-step explanation:

  • −5.93 + (−8.62) + 5.93 =
  • −5.93 - (8.62 - 5.93) =         B
  • −(5.93 + 8.62) + 5.93 =       C
  • −5.93 −8.62 - (- 5.93) =       D
  • -8.62                                    A
7 0
1 year ago
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Which of the following statements is true only if triangles EFI and GFH are similar?
igomit [66]

Answer: Choice B

FH/FI = HG/IE

================================================

Explanation:

We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.

  • E and G pair up because they are the first letters of EFI and GFH
  • F and F pair up as they are the second letters
  • I and H pair up because they are the third letters

This means

  • E = G
  • F = F
  • I = H

Furthermore, it means

  • EF corresponds to FG
  • FI corresponds to FH
  • IE corresponds to GH

Focus on the last two items of the list above. We can then form the proportion

FI/FH = IE/GH

which is the same as

FH/FI = GH/IE

when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say

FH/FI = HG/IE

So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.

4 0
1 year ago
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There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
Anna71 [15]

Answer:

1/9

Step-by-step explanation:

135 in Sport centre: Total

59:swimming pool

31:track

19 both swimming and gym

16 gym and track

4 all three facilities

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is

4/36=1/9

Hope this helps!!!

6 0
2 years ago
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