Answer:
Point slope form: -9 = m(3)
Slope intercept form: y = -3x + 30
At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.
Step-by-step explanation:
We have 2 points to calculate the line.
(3, 21) x1 y1
(6, 12) x2 y2
First, we need to calculate the slope.
m =
m =
m = -3
Point slope form is:
y - y1 = m(x - x1)
So for our case:
-9 = m(3)
And slope intercept form is:
y = mx + b
We need to solve for the y intercept (b)
y = -3x + b --- enter the slope
21 = -3(3) + b --- enter in any point on the line for x and y
21 = -9 + b
b = 30 --- solve for b
Now our slope intercept form of the line is:
y = -3x + 30
At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.
Answer:
1. 31%
2. 69%
3. 68%
4. 58%
5. 53%
Step-by-step explanation:
1. Female/Hawaii : 8/26 = 31%
2. Male/Hawaii: 18/26 = 69%
3. Female/Italy: 13/19 = 68%
4. Hawaii: 26/45 = 58%
5 Male: 24/45 = 53%
Answer:
A. 12 and 43
Step-by-step explanation:
Pythagorean theorem is given as =
Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.
In the figure given, the side of the largest square = the hypotenuse of the triangle = c
While the side of the other squares = a and b respectively, of the triangle.
Area of square = s², where s is the side length of the square.
Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.
The side length of the largest square = √55 ≈ 7.4 = c
Therefore, to determine the area of the other squares, check the options given if they add up to give 55.
Option A: 12 + 43 = 55
Option B: 14 + 40 = 54
Option C : 16 + 37 = 53.
The correct possible areas of the smaller squares would be A. 12 and 43.
Answer:
The solution is x = -2 and y = 2.
Step-by-step explanation:
Given that:
14y - 8x = 44 Eqn 1
-7y = -x - 16 Eqn 2
In elimination method, you try to eliminate one variable in the equation by adding or subtracting.
Multiplying Eqn 2 by 2
2(-7y = -x - 16)
-14y=-2x-32
-14y+2x= -32 Eqn 3
Adding Eqn 1 and 3
(14y-8x)+(-14y+2x)=44+(-32)
14y-8x-14y+2x=44-32
-6x=12
Dividing both sides by -6
Putting x=-2 in Eqn 2
-7y=-(-2)-16
-7y=2-16
-7y=-14
Dividing both sides by -7
Hence,
The solution is x = -2 and y = 2.
find the measure of each angle
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