Answer: -5
Step-by-step explanation:
The formula for calculating the slope of a line is given as :
m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}
= 8
= 6
= 5
= 15
substituting into the formula , we have
m = 
m = 
m = -5
Therefore the slope is -5
<u>Answer</u>:
21 is 30% of 70
<u>Explanation</u>:
We know that 100% is the original number.
Equation:
(21/30)*100
21/3 * 10
7 * 10
70 ....this is the answer, original number.
The triangles are not the same size so a dilation made the original one smaller and a translation moved it to map ABC to A'B'C'.
Answer:
the diameter is 1
Step-by-step explanation:
Since C = pi*d, solving for d would give 1
Perimeter of rectangle = length + length + width + width
To find the combinations, think of two numbers that each multiplied by 2 and added up to give 12 or 14
Rectangle with perimeter 12
Say we take length = 2 and width = 3
Multiply the length by 2 = 2 × 2 = 4
Multiply the width by 3 = 2 × 3 = 6
Then add the answers = 4 + 6 = 10
This doesn't give us perimeter of 12 so we can't have the combination of length = 2 and width = 3
Take length = 4 and width = 2
Perimeter = 4+4+2+2 = 12
This is the first combination we can have
Take length = 5 and width = 1
Perimeter = 5+5+1+1 = 12
This is the second combination we can have
The question doesn't specify whether or not we are limited to use only integers, but if it is, we can only have two combinations of length and width that give perimeter of 12
length = 4 and width = 2
length = 5 and width = 1
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Rectangle with perimeter of 14
Length = 4 and width = 3
Perimeter = 4+4+3+3 = 14
Length = 5 and width = 2
Perimeter = 5+5+2+2 = 14
Length = 6 and width = 1
Perimeter = 6+6+1+1 = 14
We can have 3 different combinations of length and width
