Let’s see! Substituting 3 for x and -1 for y:
(3 + 1)^2 + (-1 - 1)^2 = 16
4^2 + (-2)^2 = 16
16 + 4 = 16
20 = 16
20 is clearly not equal to 16, so we know the point (3, -1) can’t lie on that circle.
Answer with Step-by-step explanation:
Independent:Tickets,Shopping list,weight,Hiking,Mushrooms in the bridge,Number of trophies
Dependent:Money,Shopping bas,price of customer's order,snacks,mushroom tarts, shelves on the case
If this is 63/268 the answer is 63/268 or 0.24 rounded.
Answer:
y = x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 3 is in this form
with m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = , hence
y = x + c ← is the partial equation
To find c substitute (4, 12) into the partial equation
12 = 5 + c ⇒ c = 12 - 5 = 7
y = x + 7 ← equation of perpendicular line
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
<h3>What is the measure of the missing angle?</h3>
The image attached aside shows us a <em>right</em> triangle with two known <em>side</em> lengths (JL, KJ) and a <em>angle</em> measure (m ∠ K). The measure of the <em>missing</em> angle can be found by using the <em>trigonometric</em> function of cosine:
cos m ∠ J = KJ / JL
cos m ∠ J = 12 / 13
m ∠ J = 22.620°
The measure of the angle J within the triangle JKL is approximately 22.620°.
And the sine of the angle J, which helds the same <em>positive</em> sign than cosine as the angle is in the first quadrant on <em>Cartesian</em> plane, is:
sin m ∠J = √(1 - cos² m ∠J)
sin m ∠J = √[1 - (12 / 13)²]
sin m ∠J = 5 / 13
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
To learn more on trigonometric functions: brainly.com/question/6904750
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