One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN
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There's a negative in a, so it would have an invisible -1 multiplying the whole equation.
Then you take two numbers that multiply to 16*-480
and add to -16. Let's hide out the -1 for now until the end to make it easier for us.
In this case, it would be -96 and 80 because 16*-480 = -7680 and multiplying -96 by 80 results in same product while adding up to -16.
Then you put those numbers in.
Start to factor them by adding brackets and using GCF to separate them.
Again, with GCF to simplify even more.
And re-arrange to form the numbers into factored form cause of distributive property.
GCF to simplify to lowest terms.
Bring back the -1 we hid.
Important Note: in vertex and factored form, the plus/positive signs within the brackets mean left side into negative x-values, and negative signs within brackets mean right side into positive x-values. In this case, your x-intercepts/zeros are (-5,0) and (6,0).
A person can't go into negative time, so they start from 0 and hit into the positive number of the x-int, so that's (6,0). 6 seconds. Find midpoint by adding the two x-int and dividing by 2.
Take the midpoint and plug into your quadratic equation to find your max height. Use a calculator for this.
Then you take two numbers that multiply to 16*-480
and add to -16. Let's hide out the -1 for now until the end to make it easier for us.
In this case, it would be -96 and 80 because 16*-480 = -7680 and multiplying -96 by 80 results in same product while adding up to -16.
Then you put those numbers in.
Start to factor them by adding brackets and using GCF to separate them.
Again, with GCF to simplify even more.
And re-arrange to form the numbers into factored form cause of distributive property.
GCF to simplify to lowest terms.
Bring back the -1 we hid.
Important Note: in vertex and factored form, the plus/positive signs within the brackets mean left side into negative x-values, and negative signs within brackets mean right side into positive x-values. In this case, your x-intercepts/zeros are (-5,0) and (6,0).
A person can't go into negative time, so they start from 0 and hit into the positive number of the x-int, so that's (6,0). 6 seconds. Find midpoint by adding the two x-int and dividing by 2.
Take the midpoint and plug into your quadratic equation to find your max height. Use a calculator for this.
Given coordinates (1,3) and (0,1).
In order to find the equation of line, we need to find the slope between given coordinates.
We know slope formula,
m=
We have (x1,y1) = (1,3) and (x2,y2) = (0,1).
Plugging values of x1,y1,x2 and y2 in slope formula, we get
Simplifying top and bottom of the fraction we got for slope
We got slope m=2.
We are given second point (0,1), where x-coordinate is 0 and y-coordinate is 1.
y-intercept is a point on y-axis, where x=0.
Therefore, y-intercept = 1.
Now, applying slope-intercept form of the linear equation
y=mx+b, where m is the slope and b is y-intercept.
m=2 and b=1.
Plugging values of m and b in slope-intercept form, we get
y=2x+1.
Therefore, point-slope form for the line is y=2x+1.