Recall that r^2 = x^2 + y^2, so that r = sqrt(x^2+y^2).
y
r = 3 sin g becomes sqrt(x^2+y^2) = 3*-----------------------
sqrt(x^2+y^2)
Squaring both sides,
9y^2
x^2+y^2 = -----------------
x^2 + y^2
If this is correct (and I'm not convinced that it is), then (x^2+y^2)^2 = 9y^2
shows the relationship between x and y. Can anyone improve on this result?
Answer:
Option 2
Step-by-step explanation:
You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:
1
.
doesn't match
2.
Does match, so this is the answer.
The value of the expression 4(5² - 3 - 2x)² is <u>576</u>.
In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.
To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.
The term 5² = 25.
The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.
Taking the terms back to the expression, we get:
4(5² - 3 - 2x)²
= 4(25 - 3 - 10)²
= 4(12)²
= 4(144)
= 576.
Thus, the value of the expression 4(5² - 3 - 2x)² is <u>576</u>.
Learn more about solving expressions at
brainly.com/question/723406
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The correct answer is B.
Determine and recall first the trigonometric functions:
Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent
If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z.
Use this test to answer:
Sin Y = Y/X
where:
Y = opposite
X = hypotenuse
Cos (90 - y) = cos (90 - 50) = cos 40
where Z = 40
we look for cos Z = Y/X
Therefore,
Sin Y = Cos (90 - Y)
Answer:
x=5 and y=5
Step-by-step explanation:
You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.
So let's plug the first into the second:
First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:
x = 10 - y
Now we substitute 10-y for x in the second equation:
So 2x+4y=30 becomes:
2(10-y) + 4y = 30
And simplify that:
20 - 2y + 4y = 30
20 + 2y = 30
2y = 30-20
2y = 10
y = 5
This is the first answer! If we put this into the first equation, we get:
x = 10 - 5 = 5
Now we have both answers, x=5 and y=5
