Answer:
Step-by-step explanation:
Use the table to find the slope and y-intercept
<u>Find the slope:</u>
- m = (6 - 4)/(3 - 1) = 2/2 = 1
<u>Find b using the pair (1, 4):</u>
- 4 = 1*1 + b
- b = 4 - 1
- b = 3
<u>The line is:</u>
The y-intercept is 3
Answer:
(0, 3 )
Step-by-step explanation:
Given the 2 equations
4x + 2y = 6 → (1)
16x - 4y = - 12 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the x- term
8x + 4y = 12 → (3)
Add (2) and (3) term by term
(8x + 16x) + (4y - 4y) = (12 - 12), that is
24x = 0 ⇒ x = 0
Substitute x = 0 into (1) or (2) and solve for y
Substituting in (1)
4(0) + 2y = 6
0 + 2y = 6
2y = 6 ( divide both sides by 2 )
y = 3
Solution is (0, 3 )
Answer:
l = -w + (p/2)
Step-by-step explanation:
Isolate the variable <em>l</em>. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 2w from both sides.
p = 2l + 2w
p (-2w) = 2l + 2w (-2w)
p - 2w = 2l
Isolate the l. Divide 2 from both sides.
(2l)/2 = (-2w + p)/2
l = -w + (p/2)
l = -w + (p/2) is your answer.
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Angle 2 and 7 are alternate exterior angles, which are congruent...so angle 7 is also 47 degrees.
Angles 7 and 5 form a straight line (which = 180 degrees), so subtract the measure of angle 7 from 180 to find the measure of angle 5.
Angle 5 = 180-47=133 degrees
1) a) The distance from the smallest to largest data in both sets will be the same. Reason If two data sets are of the same range, then it is not...
If two data set have the same range then the distance from the smallest to the largest observation in both data sets will be the same.