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expeople1 [14]
1 year ago
6

7. Sam lives exactly halfway between his friends, Danny and Leo. Danny's house is

Mathematics
1 answer:
geniusboy [140]1 year ago
6 0

The point that Sam's house is located is at (2.5, -2)

<h3 /><h3>Midpoint of coordinate points</h3>

The formula for calculating the midpoint of coordinate is expressed as:

M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Given the coordinate between their locations at (-4, 4) and (-9, 8)

Determine the midpoint

x = (-4+9)/2

x =5/2 = 2.5

Similarly

y = 4-8/2

y = -4/2

y = -2

Hence the point that Sam's house is located is at (2.5, -2)

Learn more on midpoint here: brainly.com/question/5566419
#SPJ1

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Write the equation of the following graph in intercept form.
Kobotan [32]

Answer:

A) f(x)=0.2(x+2)(x-5)

Step-by-step explanation:

The graph has x-intercepts at x=5 and x=-2, so our factors for the polynomial will be x+2 and x-5. This means we can rule out options B and D.

Our graph also has a y-intercept of y=-2 when x=0, so if we let f(x)=-2 and x=0, we can find the multiplier:

f(x)=a(x+2)(x-5)\\-2=a(0+2)(0-5)\\-2=a(2)(-5)\\-2=-10a\\\frac{1}{5}=a\\0.2=a

Thus, the correct equation is A) f(x)=0.2(x+2)(x-5)

8 0
2 years ago
Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t
erma4kov [3.2K]
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is \dfrac14\cdot\dfrac14=\dfrac1{16}.
4 0
3 years ago
Read 2 more answers
Solve 2tan(x)cos^2(x)=1 algebraically
deff fn [24]
X= pi/4 +k(pi)
(This may not be correct sorry)
7 0
2 years ago
What 2 numbers are factors of 18?
WITCHER [35]

Factors are the numbers you multiply together to get given number.

All possible factorizations of number 18 by two factors are:

  1. 18=1·18;
  2. 18=2·9;
  3. 18=3·6.

Answer: 1 and 18, 2 and 9, 3 and 6.

4 0
3 years ago
Read 2 more answers
Karen wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each
Tamiku [17]

The sample is 200 randomly selected students.

The following things should be considered:

  • Let us assume the no of siblings for each student be x.
  • Now for determining the mean no of siblings she choose 200 students.

So, here the sample should be 200 randomly selected students.

Therefore the other options should be incorrect.

Thus we can conclude that the sample is 200 randomly selected students.

Learn more about the sample here: brainly.com/question/13287171

5 0
3 years ago
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