Answer:
(C) 2
Step-by-step explanation:
Given equations 2a + 7b+2c=16 and 2a + 3b +2c= 8, you want to know the value of b.
<h3>Solution</h3>
The coefficients of 'a' and 'c' are the same in the two equations, so we can eliminate those variables by subtracting one equation from the other. We can keep the resulting coefficient of 'b' positive if we subtract the second equation from the first.
(2a +7b +2c) -(2a +3b +2c) = (16) -(8)
4b = 8 . . . . . . . simplify
b = 2 . . . . . . . divide by 4
<span>Slope is difference in "y" divided by difference in "x"
(–4,–13) (19,11)
slope = (-13 -11) / (-4, -19) = -24 / -23
</span>
Answer:
The other acute angle = 33 1/3°
Step-by-step explanation:
Hard to read the angle measure.
one acute angle = 56 2/3° x = the second acute angle
Find the other acute angles.
The two acute angles sum in a right triangle = 90°
56 2/3° + x° = 90°
x = 90 - 56 2/3
x = 89 3/3° - 56 2/3°
x = 33 1/3°
Answer: (A)
Explanation: For there to be a solution at any one point, both inequalities must share a common point. This point will then satisfy both inequations, becoming a solution to both inequality.
Let's pick (A).
For there to be at least one solution, the first inequality must have a solution of

. Since the left side has clearly no points common to both graphs. Hence, no solution can exist that will satisfy both.
All of the other graphs have at least one point in common.
(B) has

(C) has

(D) has
Find the distance between points A-2; 3, B2; 1:
d = √<span>(<span>xb</span> - <span>xa</span>)2 + (<span>yb</span> - <span>ya</span>)2</span> =
= √<span>(2 - (-2))2 + (1 - 3)2</span> =
= √<span>42 + (-2)2</span> = √16 + 4 =
<span>= <span>√20</span><span><span> </span></span></span>