Answer:
a = -7/23.
Step-by-step explanation:
For them to lie on the same line the slope of the line joining the first 2 points must equal the slope of the line joining the second and third points.
so (3 - -5) / (-a+2 - 3) = (2 - 3) /[(2a + 3) - (-a + 2)]
8 / (-a - 1) = -1 / (3a + 1) Cross multiply:
-1(-a - 1) = 8(3a + 1)
a + 1 = 24a + 8
-7 = 23a
a = -7/23.
You can multiply them both as fractions or turn the fraction into a decimal and multiply it like that.
5 1/4 will have to turn into an improper fraction which means you have to get rid of the whole number so. To do so you have to multiply the whole number by the denominator which would be 5x4 which is 20 then add it to the numerator so I’d be 21.
Next turn the 3 into a fraction since it’s a whole number it’d be 3/1
Finally multiply straight across 21/4 x 3/1 which is 63/4 and luckily it’s already In it’s simplified form
Answer:
How many subsets and proper subsets does a set have? If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. ... We know that the formula to calculate the number of proper subsets is 2n – 1.
<span>The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation.</span>
<span>So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation. And since x + y = 8, you are adding the same value to each side of the first equation.</span>
Answer;
C) The second arc should be centered at C.
Explanation;
Assuming the goal is to construct a line parallel to AB that passes through given point C.
-Draw a line through C and across AB at an angle creating D.
- With the compass width about half of DC, and center D, draw the first arc to cross both lines.
-Using the same compass width , draw the second arc with center C.
-Then set the compass width to the lower arc (the first arc)
- Move the compass to the second arc. Mark off an arc to make point E
-Draw a straight line through C and E
Thus the line CE will be parallel to line AB
