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3 years ago

Give the y intercept y=3/2x+3

Mathematics

1 answer:

morpeh [17]3 years ago

3 0

Answer:

Y intercept: (0,3) or 3

Step-by-step explanation:

the b in y = mx + b is the y intercept.

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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

Determine if the following events are independent.

Artemon [7]

Step-by-step explanation:

To determine if events are independent, one has to confirm if there's no relationship between the events.

Event A. Not shutting off the water in the kitchen sink.

Event B. Receiving a high water bill.

Both Events are related as Event B is proportional to Event A. This means they are not independent but rather dependent

5 0

3 years ago

Which statements must be true according to the histogram? Check all that apply.

Alisiya [41]

The data is qualitative (statement is incorrect)
The data is skewed right (statement is correct)
There were 31 people at the party (statement is correct)
There were children at the party (statement is incorrect)
The most common age of the attendees is 13 years old (statement incorrect - there is no way to tell that the most common age is 13 years old)
The majority of people at the party is less than 61 years old (statement correct)

8 0

4 years ago

Read 2 more answers

When Vlad moved into his home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found

ivanzaharov [21]

Answer:

175 cm

7 years

Step-by-step explanation:

Here is the complete question

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard.

He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.

1. How tall was the tree when Vlad moved into the house?

2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

The formula for calculating future value:

FV = P + (r x n)

FV = Future height of the tree

P = Present height of the tree

R = growth rate

N = number of years

292 = p + (26 x 4.5)

292 = p + 117

p = 292 - 117

p = 175 cm

b. 357 = 175 + (26 x n)

375 - 175 = 26n

182 = 26n

n = 182 / 26 = 7 years

7 0

3 years ago

Your odometer reads 4,261 miles. You drive your car until the odometer reads 4,751 and your car used 25 gallons of gasoline duri

aivan3 [116]

Answer:

35 gallons.

Step-by-step explanation:

Why? Bc it is the closest 4,751

3 0

2 years ago

Give the y intercept y=3/2x+3​

Give the y intercept y=3/2x+3