Answer:
Step-by-step explanation:
61 is divisible by itself and 1. It's prime.
102 ends in a 2. Therefore it is not prime because it can be divided by 2,
75 = 3*5*5 not prime.
64 = 2 * 2 * 2 *2 * 2*2 Not prime.
Answer:
22. Perimeter = 52 units
Area = 160 Square Units
23. Notation form : 
Standard Form : 200000
Step-by-step explanation:
22.
The formula for perimeter is
P = 2 (length + Width )
= 2 ( 2x+3x+1)
= 2(5x+1)
The Formula for Area of a rectangle is
A= length x width
A= 
A=
Now we have to find the Perimeter and Area for x = 5
P = 2(5 x 5 +1)
P= 2(26)
P=52 units
A= 6 x 5 x 5 + 2 x 5
A= 150 + 10
A= 160 square units
23.
A. By using rule of exponents , we can determine that both the results will be same.
B.
Miriam's calculation
Priya's calculation
Standard notation
Answer:
option a
Step-by-step explanation:
i think this because my teacher in my business class stated this before to the whole class but I was distracted so it can totally be wrong if it is my bad
Answer:
O It has the same slope and a different y-intercept.
Step-by-step explanation:
y = mx + b
m = 3/8
b = 12
y = (3/8)x + 12
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Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).
Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).
Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8
Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1
Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8
The slope of the equation is the same as the data in the table.
Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)
y = (3/8)x + b
Use (-2/3, -3/4)
-3/4 =- (3/8)(-2/3) + b
-3/4 = (-6/24) + b
b = -(3/4) + (6/24)
b = -(9/12) + (3/12)
b = -(6/12)
b = -(1/2)
The equation of the line formed by the data table is y = (3/8)x -(1/2)
Therefore, It has the same slope and a different y-intercept.
