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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

Answer:

(3,2)

Step-by-step explanation:

Here's your given:

y = 4x - 10

y = 2

Because they both equal y, that means they equal each other:

2 = 4x - 10

Add 10 on both sides:

12 = 4x

Then, divide 4 on both sides:

3 = x

This represents the x coordinate.

Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:

y = 2

This represents the y coordinate.

Put the two values together to get: (3,2)

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there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are there

pshichka [43]

I think that the answer to this is 40 girls

24/3=8

8*5=40

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3 years ago

Which conic's equation has 2 squares with the same signs and different leading coefficients?

Romashka [77]

We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.

We will see that it is the equation of the ellipse.

Now let's see why that is the correct answer.

The general conic equation is of the form:

$A*(x - a)^2 + B*(x - b)^2 = R^2$

Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.

For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.

If we write:

A = 1/C

B = 1/K

(both are positive, because "it has two squares with the same signs").

Then we get the equation:

$\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2$

We get the equation we wanted.

The same sign in both square parts and different leading coefficients.

The above equation is the general equation of an ellipse.

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2 years ago

The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what yea

nirvana33 [79]

Average reading score is given by the expression,

y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = $\frac{3.978}{0.153}$

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

Therefore, 1996 is the year in which the average reading score will be 259.378.

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3 years ago

After running for 3 1/2 km, Sacha only completed half the total distance of a marathon . What is the complete distance of that m

Gre4nikov [31]

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Answer: 7 km

Explanation:

3.5 x 2 = 7

I hope this helped!

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