Answer:
the slope is defined as the change in price divided by the change in quantity supplied between two points (i.e. the two ordered pairs). we can use the following formula to calculate it: m = (y2 – y1)/(x2 – x1). in the case of my example, the two ordered pairs are (2, 500) and (1, 250)
Step-by-step explanation:
Answer:
w = y - x
Step-by-step explanation:
Starting from the tail of w and ending at the nose
Going against the direction of the vector is represented by a negative, thus
w = y - x ( with the direction of y and against the direction of x )
9514 1404 393
Answer:
5/6
Step-by-step explanation:
3/4 is less than 5/6 by ...
5/6 -3/4 = 10/12 -9/12 = 1/12
The number that is greater than 3/4 by 1/2 is ...
3/4 +1/12 = 9/12 +1/12 = 10/12 = 5/6
5/6 is greater than 3/4 by the same amount that 3/4 is less than 5/6.
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<em>Additional comment</em>
This is a trick question -- checking to see if you're awake.
If A < B by some amount, then B > A by that same amount.
If B -A = q, then A +q = B.
Answer:
480 yds.
Step-by-step explanation:
Model is 12in X 24in
Scale is 1in = 4 yds
24 in is the length, so multiply the 24 and 4 to find length of the actual field.
24 *4 = 96 yds. Manny ran it 5 times, multiply 96 and 5. 96 * 5 = 480 yds.
It is possible to see that the angle DCB is a right angle. It is also seen that sides CD and CB are congruent. So, the measure of angles CDB and CBD is the same. Since the sum of the three angles must be equal to 180°, the angle CDB must be equal to 45°.
∠CDB + ∠CBD + ∠DCB = 180°
∠CDB + ∠CBD + 90° = 180° (Replacing the value of angle DCB)
∠CDB + ∠CBD = 180° - 90° (Subtracting 90° on both sides of the equation)
∠CDB + ∠CBD = 90° (Subtracting)
2*∠CDB = 90° (Since ∠CDB = ∠CBD )
∠CDB = 90°/2 (Dividing by 2 on both sides of the equation)
∠CDB = 45°