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3 years ago

The vertical line passing through the vertex of a parabola is called the

Mathematics

1 answer:

andrew-mc [135]3 years ago

7 0

Answer:

Axis of symmetry.

Step-by-step explanation:

We have been given an incomplete statement. We are supposed to complete the given statement.

Given statement: The vertical line passing through the vertex of a parabola is called the ________.

We know that a parabola is symmetric about axis of symmetry . The line passing through the vertex of parabola divides the parabola into two mirror images.

Therefore, the vertical line passing through the vertex of a parabola is called the the <u>axis of symmetry.</u>

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I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

4 0

3 years ago

A car rental company offers two plans for renting a car. Plan A: 40 dollars per day and 10 cents per mile Plan B: 65 dollars per

-Dominant- [34]

Difference between 60 and 45 is 15 so $15 in 10 cent would be 150 so 150 miles . Answer: you would need to drive more than 150 miles for plan b to save money:)

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2 years ago

Ruby weighs 88 lbs. Her weight is 12 lbs. less than half her mother's weight. How much does her mother weigh?

GenaCL600 [577]

88 = m - 12

100 = m

8 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 2(25)?

nordsb [41]

The two on the bottom