Answer:
7 x - 8 y = 5
x - 8 y = -13
6 x = 18 subtract equations
x = 3
7 (3) - 8 y = 5
8 y = 16 solve for y
y = 2
Solution : (3, 2)
Check:
3 - 8 * 2 = -13 agrees with second equation
40/100 = 22/x
40x = 2200
x = 55
There are 55 students in this class.
Answer: x to the power of 3 / 10
Explanation: None
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The Cartesian coordinates of the first vector are
20(cos(30°), sin(30°))
After the vector is multiplied by 2∠110°, its Cartesian coordinates are
40(cos(140°), sin(140°))
The x-component is larger than it was, but in the opposite direction. The percentage increase in the magnitude of the x-component is
x-change = (|40cos(140°)/(20cos(30°))| - 1)×100%
x-change ≈ 76.9%
The y-component is also larger than it was, but still in the +y direction. The percentage change in the magnitude of the y-component is
y-change = (|40sin(140°)/(20sin(30°))| -1)×100%
y-change ≈ 157.1%
Answer:
○ d. No other length can be determined.
Step-by-step explanation:
In a parallelogram, opposite angles are congruent, diagonals form a linear pair, and it has two pairs of parallel sides. Therefore, according to the information we are given, no other length can be determined.
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* Answer choice <em>a</em><em> </em>fails because of the Pythagorean Theorem. If we split the circumscribed right triangles, we can see that having a leg equal to a hypotenuse is impossible, therefore this is incorrect.