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ValentinkaMS [17]
4 years ago
8

If y varies directly as x^2 find k when x=2 and y=8

Mathematics
1 answer:
Grace [21]4 years ago
8 0
I think the answer is 2
You might be interested in
81 is 37.5% of what number?
NNADVOKAT [17]
81 = 37.5% of x.

81 = (37.5/100)*x

81 = 0.375x

0.375x = 81

x = 81/0.375

x = 216

The number is 216.
3 0
4 years ago
Read 2 more answers
-(-1/3) + 2/5 - (-1 1/3) - (-3/5)​
algol13
1/3+2/5+4/3+3/5=8/3
Steps
A double negative makes a positive.
So, change all double negatives to positives (to simplify it)
1/3 + 2/5 + 1+1/3 + 3/5
What's the least common denominator here?
Yes, it is 15!
Change the fractions to that denominator
5/15 + 6/15 + 1+5/15 + 9/15
change 1+5/15 to 20/15, then add the fractions
Result: 40/15
Divide numerator and denominator both by the greatest common factor:5
8/3
5 0
4 years ago
Karen notices that segment BC and segment EF are congruent in the image below:
LenaWriter [7]

Answer:

Givens:

  • A(-2;2) \ B(-2;4) \ C(0;3) \ D(2;1) \ E(2;3) \ F(0;2)
  • BC \cong EF
  • \angle C \cong \angle F

Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that AC \cong DF, that will prove the complete congruence.

So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\d_{AC} =\sqrt{(0-(-2))^{2}+(3-2)^{2}}=\sqrt{4+1}=\sqrt{5}\\\\\d_{DF} =\sqrt{(0-2)^{2}+(2-1)^{2}}=\sqrt{4+1}=\sqrt{5}

Therefore, AC \cong DF, because they have the same length.

Now, based on these congruences:

  • BC \cong EF
  • \angle C \cong \angle F
  • AC \cong DF

We demonstrate by the Side-Angle-Side (SAS) postulate that ΔABC ≅ ΔDEF.

6 0
3 years ago
An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the fol
Alexus [3.1K]

Answer:

1/160

Step-by-step explanation:

Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.

Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.

In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.

1/5 * 1/32 = 1/160

4 0
3 years ago
Which shape has no parallel sides?<br> rectangle<br> trapezoid<br> square<br> triangle
nadezda [96]

Answer:

Triangle

Step-by-step explanation:

all of them have parallel sides except triangle

5 0
3 years ago
Read 2 more answers
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