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3 years ago

Y=2/3x-4 y=-2x+4what is the solution

Mathematics

1 answer:

Radda [10]3 years ago

7 0

Answer:

$y=\frac{2}{3}x-4\\y=-2x+4$

Solution is (3,-2)

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2 years ago

Read 2 more answers

Find the standard form of the circle x2 + y2 – 6x + 10y + 24 = 0 by completing the square.

hichkok12 [17]

Answer:

$(x-3)^2+ (y+5)^2=10$

Step-by-step explanation:

Given the equation of the circle: $x^2 + y^2 - 6x + 10y + 24 = 0$

We wish to express it in a Standard form:

We begin by re-arranging:

$x^2 - 6x + y^2 + 10y = - 24$

Next, divide the coefficient of x by 2, square it and add it to both sides.

Do the same for y.

$x^2 - 6x +(-3)^2+ y^2 + 10y+5^2 = - 24+(-3)^2+5^2$

Next, we factorize

$(x-3)^2+ (y+5)^2 = - 24+9+25\\(x-3)^2+ (y+5)^2=10$

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6 0

3 years ago

A local hospital currently has 184 male patients. If the ratio of male to female patients is 4:3, how many female patients are t

Afina-wow [57]

There are 138 female patients in the hospital.

<h3>Solving word problems involving ratios.</h3>

The solution to the word problem involving ratios in the given problem can be determined as follows.

From the given information:

The total number of people in the hospital = male + female

= 184 + x(unknown)

If the ratio of male to female is 4: 3.
The total ratio is 4+3 = 7

The ratio of males in the hospital is:

$\mathbf{184= \dfrac{4}{7} \times x }$

$\mathbf{184\times 7= 4 x }$

x = 322

The number of female patients in the hospital can now be computed as:

$\mathbf{=\dfrac{3}{7}\times 322}$

= 138 female patients

Check:

The total number of people in the hospital is:

= 184 + 138

= 322 patients

Learn more about word problems here:

brainly.com/question/13818690

#SPJ1

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1 year ago

Y=2/3x-4 y=-2x+4what is the solution​

Y=2/3x-4 y=-2x+4what is the solution