Answer:
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Answer:
(-4,2)
Step-by-step explanation:
First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.
Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.
Before:
5x + 2y = -16
3x + 7y = 2
After:
15x + 6y = -48 <----------Now we solve for y
-15x + -35y = -10
+----------------------
-29y = -58
-29 -29
y = 2
Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.
3x + 7y = 2
3x + 7(2) = 2
3x + 14 = 2
-14 -14
----------------------
3x = -12
3 3
x = -4
Therefore our final answer is (-4,2)
Answer:
a
Step-by-step explanation:
Given
u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is
u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )
Then
v • w
= (5 × 9) + (- 4 × - 2) + (4 × 7)
= 45 + 8 + 28
= 81 → a
Only a sample of the blue jay population was measured because it would be impossible to measure the entire population. The population of blue jays is all of the blue jays in the world. It would not be possible to measure all of them.
x. 5.75.
_____ _____
33.75. 100
100x = 177.18
÷100. ÷100
x = 1.77
33.75
+1. 75
=
35.50