Answer:
N = -7
Step-by-step explanation:
4 = 1 - n -4
Subtract the numbers first
1 - 4 = -3
Then rearrange the terms
4 = -3 - n
-----> 4 = n - -3
The you add 3 to both sides of the equations
4 + 3 = -n - 3 + 3
Answer:
$4
Step-by-step explanation:
The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):
7a +16s = 120 . . . . . . . . price for the first purchase
13a +9s = 140 . . . . . . . . price for the second purchase
Using Cramer's rule, the value of s can be found as ...
s = (120·13 -140·7)/(16·13 -9·7) = 580/145 = 4
The cost of a student ticket is $4.
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<em>Comment on Cramer's Rule</em>
Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.
The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.
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Of course, graphical methods can be quick and easy, too.
<u>Answer:</u>
The correct answer option is 21.
<u>Step-by-step explanation:</u>
We know that the given lines PW and AD intersect at the point C.
Therefore, the two given angles are equal to each other and we can write them in the form of an equation as:
(4x - 4)° = (3x + 17)°
Solving for x to get:
4x - 4 = 3x + 17
4x - 3x = 4 + 17
x = 21
Therefore, the value of x is equal to 21.
Answer:
∠ 5 = 133°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent and supplementary, thus
∠ 1 = 180° - 47° = 133°
∠ 1 and ∠ 5 are corresponding and congruent, thus
∠ 5 = ∠ 1 = 133°
Answer:
Step-by-step explanation:
We must graph y + 2 = 2(x + 3).
Rewriting this as y + 2 = 2x + 6, and then as y = 2x + 4, makes graphing easier. This y = 2x + 4 has a slope of 2 (or 2/1) and a y-intercept of (0, 4).
Plot a black dot at (0, 4).
Now, with your pencil point on (0, 4), move the point 1 unit to the right, to (1, 4), and then move it 2 units up (from (1, 4) to (1, 6). Plot a black dot at (1, 6).
Finally, draw a straight line through the two points you've plotted.
