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Licemer1 [7]
3 years ago
14

Determine for what values of x and y are the following equalities always true.

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0
(k+1)x-(2k+3)y-3k-5=0
kx + x - 2ky - 3y - 3k - 5 = 0
(x - 2y) k + (x - 3y) = 3k + 5

therefore
x - 2y = 3
x - 3y = 5

Subtract 2 equations
y = -2
x = -1
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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
KiRa [710]

In the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

In trigonometry, for a right triangle, the <u>sine</u> (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

Learn more about trigonometric ratios at

brainly.com/question/20367642

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8 0
1 year ago
Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?
Naddika [18.5K]
Check the picture below.

so, a cone, that fits inside the cylinder, will have the same height "h" and radius "r".  Thus


\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\qquad \boxed{\pi r^2 h}=15&#10;\\\\\\&#10;\textit{volume of a cone}\\\\&#10;V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\boxed{15}}{3}

8 0
3 years ago
Match each output to its input for the function. Let f(x) = −2x + 3 f(0) f(−32) f(10) f(−17) and the choices are 3,-17,37,6
Andru [333]

Answer:

Below

Step-by-step explanation:

● f(x) = -2x + 3

● f (0) = -2 (0) +3 = 3

● f(-32) = -2(-32)+3 = 64 + 3 = 67

● f(10) = -2(10) +3 = -20 + 3 = -17

● f(-17) = -2(-17) + 3 = 34 + 3 = 37

● f(10) => -17

● f(-17) => 37

4 0
3 years ago
1 - 1/3, 2 - 4/6, 1 - 3/9, 2 - 1/2, please answer them
marusya05 [52]
#1 - 2/3
#2 - 1 1/3
#3 - 2/3
#4 - 1 1/2
5 0
3 years ago
Read 2 more answers
Can someone help me write an equation for this problem?
11Alexandr11 [23.1K]
Y=800+175(9)
And then just solve for y.
8 0
3 years ago
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