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1 answer:
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Answer:
106 m
Step-by-step explanation:
The law of sines is useful.
The angle opposite the given side of 50 m is ...
180° -83° -69° = 28°
Then the distance (d) opposite the 83° angle is ...
d/sin(83°) = (50 m)/sin(28°)
d = (sin(83°)/sin(28°))×(50 m) = 105.709 m
The ball is about 106 meters from the pin.
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Answer:
○ 3
○ y + ½ = 3(x - 2)
○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.
○ 5x - 3y = 15
○ y = ½x + 5⁄2
Step-by-step explanation:
Find the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:
-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)
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According to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:
(2, -½) → y + ½ = 3(x - 2)
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We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:
-3[4x - ⅔y = 8] → -12x + 2y = -24
** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.
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If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in <em>zero</em> for <em>y</em>: 5x = 15, and you will know right away that <em>x</em><em> </em>is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in <em>zero</em><em> </em>for <em>x</em>: -3y = 15, and you will know right away that <em>y</em><em> </em>is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.
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y - 3 = ½(x - 1)
y - 3 = ½x - ½
+ 3 + 3
_____________
y = ½x + 2½
* 2½ = 5⁄2
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The expressions D, E, and F represent a correct solution to the equation.
Step-by-step explanation:
Step 1:
First, we need to solve the given equation and find the value of x which satisfies the equation.
So the value of x for the given equation is -0.666.
Step 2:
Now we evaluate the values of the six given options to see which ones have an x value of -0.666.
A.
B.
C. 20 -6 -4 = 20 - 10 = 10.
D.
E.
F.
So the options D, E, and F represent a correct solution to the given equation.