There is no question.
For lines are parallel, graphs : they must have same gradients as every points. Geometry: prove using alternate angles, corresponding angles or interior angles
For lines are perpendicular, graphs: their gradients multiply to give -1. Geometry: they form a right angle
Answer:
Step-by-step explanation:
An estimate is usually a guess, but I somehow think that's not what you want.
She starts with 4 2/3 cups of batter. When she divides it into two, one of the batters has 2 1/4 cups. That's the one she puts blueberries in.
The other batter is the one you are interested in. How big is it?
Estimate: One
The estimated size would be 4 2/3 - 2 1/3 = 2 1/3 which is an estimate. It is just taking the closest number to use so you don't have to grab your calculator.
Actual Size: Two
4 2/3 - 2 1/4 is the size of the second batter. Since 2/3 is greater than 1/4 you need only subtract the whole numbers and then the fractions.
<em><u>Whole number subtraction:</u></em> 4 - 2 = 2
<em><u>Fraction subtraction:</u></em> 2/3 - 1/4
Find the Lowest common multiple between 3 and 4: It is 12. 3 and 4 are prime to each other. They have nothing in common.
- 2/3 to 12s: (2*4)/(3*4) = 8 / 12
- 1/4 to 12s: (1 *3) / (4*3) = 3/12
- 8/12 - 3/12 = 5/12
So the actual size of the batter containing the walnuts is 2 5/12
Answer:
Step-by-step explanation:
Plot the point (4, -1) in the 4th Quadrant.
The slope (-3/4) tells us what to do next:
With your pencil point initially on (4, -1), move it 4 units to the right, to (8, -1).
With your point initially on (8, -10, move it down 3 units, to (8, -4). Plot (darken) (8, -4).
Draw a line through (4, -1) AND (8, -4)
A group of k elements can be chosen from a group of n elements in

ways.

There are 20 different 3-member groups.