The formula is y=mx+b
To get the slope or m, use this formula
(the second y minus the first y)/(the second x minus the first x)
Now set it up.
(10-7)/(2--1)
3/3=slope is 1.
y=1x+b
Insert one of the points for x and y.
i will do (-1,7)
7=1(-1)+b
7=-1+b
8=b
Insert this into the final equation:
y=1x+8
Try it out. If you're not sure, try both points. If it works, then you set it up correctly.
Answer:
6x - 4 = 32. The variable (times a number) is equal to 6.
Step-by-step explanation:
So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.
Four less than 6 times a number: 6x - 4 _ __.
Now we can add the equal sign and the 32: 6x - 4 = 32.
We can now solve. Add 4 to both sides of the equation to cancel out the -4:
6x - 4 = 32
<u>+4 + 4</u>
6x = 36
Now we divide 6 into both sides of the equation to single out the x.
<u>6x = 36</u>
6 6
36/6 = 6, so:
x = 6
I hope that this helps.
Answer:
The coefficient of the 2nd term of trinomial is 18.
Step-by-step explanation:
You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :
(3x+3)² = (3x)² + 2(3x)(3) + 3²
= 9a² + 18a + 9
OR
You can expand it by doing step by step :
(3x+3)² = (3x+3)(3x+3)
= 3x(3x) + 3x(3) + 3(3x) + 3(3)
= 9x² + 9x + 9x + 9
= 9x² + 18x + 9
Three colors * 8 possible sizes = 24 different shoes
The probability that the shoe is going to be a size 9 black shoe is 1/24.
Answer:
D. 2.48 in³.
Step-by-step explanation:
