Answer:
AB = 16 units
Step-by-step explanation:
Given the coordinate (-4, 9) and (-4, -7)
Using the formula for calculating the distance between two points
AB = √(x2-x1)²+(y2-y1)²
AB =√(-7-9)²+(-4+4)²
AB = √(-16)²+0²
AB = √16²
AB = 16 units
Hence the distance between Point A and Point B is 16 units
Answer:
y = -7/2x + 17/2
Step-by-step explanation:
Slope = (-9 - - 2)/(5 - 3)
= -7/2
y-intercept: -2 - (-7/2)(3)
= -2 + 21/2 (-2*2+21)/2
= 17/2
Answer:
Slope intercept: y = -3/2x + 1
Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]
Step-by-step explanation:
m = (change in y)/change in x)
But also
m = y_2 - y_1/x_2 - x_1
So lets substitute
m = 1 - (-2)/0 - (2)
Lets find the slope
m = 3/0 - (2)
m = 3/-2
m = -3/2 (Moved the negative)
Now we find the value of b using the equation of a line.
y = mx + b
y = (-3/2) * x + b
y = (-3/2) * (2) + b
-2 = (-3/2) * (2) + b
Now we find the value of b
Lets rewrite
-3/2 * 2 + b = -2
Cancel the CF of 2
-3 + b = -2
Move the terms without b to the right
b = -2 + 3
b = 1
Now we substitute our values of the slope and y-int into y = mx + b to find the equation.
y = -3/2x + 1
Answer:
Option The area is increased by a factor of 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to scale factor squared
Let
z-----> the scale factor
x------> the area of the dilated rectangle
y------> the area of the original rectangle

we have
------> is an enlargement
so
substitute



therefore
The area is increased by a factor of 
Since 11 out of 55 specials were salmon filet,
The percentage of specials that were salmon filet is 11/55 = 20/100 = 20%.