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4 years ago

The solution to #68 and #70

Mathematics

1 answer:

atroni [7]4 years ago

8 0

The trick is to write appropriate equations and then solve the system of equations you've created.

"sum of two numbers is -5:" x + y = -5

"difference is -1:" x-y = -1

Add these two equations together. This will cause y to drop out, and you will be left with an equation in x alone:

2x = - 6, so x = -3. Subst. -3 for x in either equation, above, and find the corresponding y value.

Then write your solution as (-3, y ) (write in your value for y).

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Answer:

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2 years ago

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4 years ago

Write the point-slope form of the equation of the line through the given point with the given

UNO [17]

Answer:

The point-slope form of the equation is:

$y-\left(-5\right)=-3\left(x-3\right)$

Step-by-step explanation:

Given

point (3, -5)

slope = -3

We know the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values m = -3 and the point (3, -5)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-5\right)=-3\left(x-3\right)$

Thus, the point-slope form of the equation is:

$y-\left(-5\right)=-3\left(x-3\right)$

6 0

3 years ago

1. Five gallons of lemonade cost $8.00, which is<br> a rate of _____per____.

Hitman42 [59]

Answer:

1. $1.60

2. gallon

Step-by-step explanation:

Each gallon of lemonade would cost $1.60.

The rate is $1.60 per gallon.

Hope it helps!

3 0

4 years ago

Read 2 more answers

Need help with this question

AleksAgata [21]

First, let's find the slope of the line using the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

(( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points on the line)

In context of this problem, we can use the formula to find the slope of the line between the two points:

$m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1$

Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is $(y - y_1) = m(x - x_1)$ where ( $x_1$ , $y_1$ ) is a point on the line)

In the context of the problem, we could use the formula to find the equation of the line:

$(y - 6) = -1(x + 1)$

$(y - 6) = -x - 1$

$\boxed{y = -x + 5}$

The equation of the line is y = -x + 5.

4 0

3 years ago