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IgorLugansk [536]
3 years ago
12

Which of the following is solution set of 4x = y and 2x2 − y = 0? A. {(0.5, -0.5), (2, -8)} B. {(0, 0), (2, 8)} C. {(1.5, 2), (8

, 2)} D. {(-1.5, -2), (2, 8)}
Mathematics
1 answer:
sergiy2304 [10]3 years ago
7 0
4x = y
2x^2 - y = 0
2x^2 - 4x = 0
2x(x - 2) = 0
2x = 0 or x - 2 = 0
x = 0 or x = 2

y = 4(0) or y = 4(2)
y = 0 or y = 8

Therefore, solution set is {(0, 0), (2, 8)}
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Select the correct answer from each drop-down menu. the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5). t
torisob [31]

The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².

Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²

The equation of a circle.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center.

r is the radius of a circle.

The midpoint of the given points represents the center of this circle:

h = (4 + 4)/2 = 4

k = (5.5 + 10.5)/2 = 8

Next, we would determine the radius by using the distance formula for coordinates:

r = √[(x₂ - x₁)² + (y₂ - y₁)²]

r = √[(4 - 4)² + (10.5 - 5.5)²]

r = √[0² + 5²]

r = √25

r = 5 units.

Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².

Learn more about circle here: brainly.com/question/12823137

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6 0
1 year ago
Graph the image using the given transformation
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The triangle KLM is rotated about origin by 90 degrees to form the triangle K'L'M'.

<h3>What is a transformation of geometry?</h3>

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Rotation does not change the size and shape of the geometry.

The triangle KLM is rotated about origin by 90 degrees to create the triangle K'L'M'.

The diagram is given below.

More about the transformation of geometry link is given below.

brainly.com/question/22532832

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1 year ago
Find the minimum or maximum value of the function g(x)= -(x-2)^2-3
Nady [450]
Neato

assuming you mean
g(x)=-1(x-2)^2-3
remember
in form
f(x)=a(x-h)^2+k
a is leading coficient
(h,k) is vertex
k will be the minimum or max value of the function
if a is positive, then the parabola opens up and k is minimum
if a is negative, then the parabola opens down and k is max

given
g(x)=-1(x-2)^2-3
a is negative
the parabola opens down and k is the max value
it is -3
the max value is -3, which occors at x=2
g(2)=-3 is max
3 0
3 years ago
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