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Shalnov [3]
1 year ago
15

What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)

Mathematics
1 answer:
Dominik [7]1 year ago
4 0

Based on the calculations, the coordinates of the y-intercept are (0, -9).

<h3>What is the y-intercept?</h3>

In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

Substituting the given parameters into the formula, we have;

Slope, m = (-4.5 - 3)/(-3 + 8)

Slope, m = -7.5/5

Slope, m = -1.5.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (-8, 3), we have:

y - 3 = -1.5(x + 8)

y - 3 = -1.5x - 12

y = -1.5x - 12 + 3

y = -1.5x - 9

Therefore, the coordinates of the y-intercept are (0, -9).

Read more on slope and y-intercept here: brainly.com/question/24787293

#SPJ1

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To find the sale price multiply the original cost by the sale percentage. (37x.2= 7.4) subtract this discount from the total (37-7.4= 29.6) this is your sale price. Now multiply this by the other percentage (29.6x.15= 4.44) (29.6-4.44= 25.16) $25.16 is your final answer
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3 years ago
Answer..........please
Marina86 [1]

Answer: 2.5

Step-by-step explanation:

I believe 2.5 because If we take y/x we have 4,10 so I divide.

7 0
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A student is given three triangles and must determine which triangles are
UNO [17]

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the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation:

3 0
3 years ago
A frog moves in a sequence of unit steps. Each step is N, S, E or W with equal probability. It starts at the origin. Find the pr
Molodets [167]

The answer is 067.

It takes an even number of steps for the object to reach (2,2), so the number of steps the object may have taken is either 4 or 6 .

If the object took 4 steps, then it must have gone two steps $\mathrm{N}$ and two steps E, in some permutation. There are $\frac{4 !}{2 ! 2 !}=6$ ways for these four steps of occuring, and the probability is $\frac{6}{4^{4}}$.

If the object took 6 steps, then it must have gone two steps N and two steps E, and an additional pair of moves that would cancel out, either N / S or W/E. The sequences N, N, N, E, E, S can be permuted in $\frac{6 !}{3 ! 2 ! 1 !}=60$ ways. However, if the first four steps of the sequence are N, N, E, E in some permutation, it would have already reached the point (2,2) in four moves. There are $\frac{4 !}{2 ! 2 !}$ ways to order those four steps and $2 !$ ways to determine the order of the remaining two steps, for a total of 12 sequences that we have to exclude. This gives $60-12=48$ sequences of steps. There are the same number of sequences for the steps N, N, E, E, E, W, so the probability here is $\frac{2 \times 48}{4^{6}}$.

The total probability is $\frac{6}{4^{4}}+\frac{96}{4^{6}}=\frac{3}{64}$, and $m+n=067$.

What is probability?

  • Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.
  • Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur.
  • This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.
  • To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

To learn more about probability visit:

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4 0
2 years ago
(GRAPH BELOW)
Rainbow [258]

Answer:

The tap drains approximately half the water from the tank in 15 minutes

The tank initially has 50 gallons of water

Step-by-step explanation:

<u>The tap drains approximately half the water from the tank in 15 minutes. </u><u>True.</u>

This is true because see that the point (15,25) lies on the graph of the line.

Which means after 15 minutes the amount of water left in the tank is 25 gallons and 25 is half of 50.

The tap drains exactly one gallon from the tank every minute. False

This is false because the slope of the graph is m=\frac{50-25}{0-15}=-\frac{5}{3}

<u>The tank initially has 30 gallons of water. </u><u>False.</u>

The y-intercept is the initial gallons of water which is 50.

<u>The tank initially has 50 gallons of water. </u><u>True.</u>

The y-intercept is the initial gallons of water which is 50.

<u>The tank takes 50 minutes to drain completely. </u><u>False</u><u>.</u>

It is false because the x-intercept tells us the tank is drained completely and it is not 50 minutes but rather 30 minutes.

4 0
3 years ago
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