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dolphi86 [110]
4 years ago
15

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5

Mathematics
1 answer:
Sveta_85 [38]4 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{2}{5}, thus

y = \frac{2}{5} x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - \frac{4}{5} + c ⇒ c = 4 + \frac{4}{5} = \frac{24}{5}

y = \frac{2}{5} x + \frac{24}{5} ← equation of line

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For what value of k will k+9,2k-1 and 2k+7 are the consecutive terms of an A.P
Stolb23 [73]

k = 18

the common difference d of an arithmetic sequence is

d = a₂ - a₁ = a₃ - a₂ = ....

a₂ - a₁ = 2k - 1 - k - 9 = k - 10 and

a₃ - a₂ = 2k + 7 - (2k - 1) = 2k + 7 - 2k + 1 = 8, hence

k - 10 = 8 ⇒ k = 8 + 10 = 18

the 3 consecutive terms are

27, 35, 43


8 0
3 years ago
Which of the following is not needed when making a box plot?
algol13
The mean is not needed to make a box plot.

I hoped this helped!
3 0
3 years ago
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Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times. Compare the theoretical and experimental
devlian [24]

Given:

Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.

To find:

The theoretical and experimental probabilities of the coin landing tails up and compare them.

Solution:

We know that, the coin landed either heads up or tails up. So, the theoretical probabilities of the coin landing tails up is

P(T)=\dfrac{Tails}{Total}

P(T)=\dfrac{1}{2}

P(T)=0.5

Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.

Total = 80

Tails =36

The experimental probabilities of the coin landing tails up is

P(T)=\dfrac{Tails}{Total}

P(T)=\dfrac{36}{80}

P(T)=0.45

Therefore, the theoretical and experimental probabilities of the coin landing tails up are 0.5 and 0.45 respectively. The theoretical probability is greater than the experimental probability.

6 0
3 years ago
What is the equation of the line whose y-intercept is 3 and slope is 1? A.y = x + 3 B.y = 3x + 1 C.y = x - 3
mario62 [17]

Answer:

The answer is option A

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

From the question

b / y intercept = 3

m / slope = 1

Substitute these values into the below equation

y = mx + b

We have the answer as

y = x + 3

Hope this helps you

6 0
3 years ago
Read 2 more answers
Please help thank you!
serious [3.7K]
If you reflect across the x-axis, you change the sign on the y-coordinate
So...
P(4, 7) ---> P'(4, -7)
Q(8, -1) ---> Q'(8, 1)
R(-9, 6) ---> R'(-9, -6)

The answer is D
4 0
3 years ago
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