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Oksanka [162]
2 years ago
15

Write an equation of the line point(2,-1) and parallel passing through y=3x-5 write in slope-intercept form

Mathematics
1 answer:
Tanya [424]2 years ago
3 0

Answer:

y = 3x - 7

Step-by-step explanation:

Since the lines are parallel, the slopes will be the same.  In this case 3.  Now we have to find the y-intercept.  We will use the slope (3), the x (2) and  y (-1) to help us do this.  We get the x and the y from the ordered pair given(2,-1).

y = mx + b

-1 = 3(2) + b   Plug in what you know

-1 = 6 + b       Subtract 6 from both sides

-7 = b

Now we can write the equation

y = 3x -7

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"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

x^2+6x+y^2-4y=-9

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2

x^2+6x+9+y^2-4y+4=-9+9+4

x^2+6x+9+y^2-4y+4=4

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

(x+3)^2+(y-2)^2=4

(x--3)^2+(y-2)^2=2^2

Comparing to:

(x-h)^2+(y-k)^2=r^2

The center is (-3,2) and the radius is r=2

8 0
3 years ago
16/8 would be classified as a/an?<br> A:whole number <br> B:integer <br> C:Rational Number
gregori [183]

Answer:

Whole Number

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 16/8, the numerator is 16.

Denominator. This is the number below the fraction line. For 16/8, the denominator is 8.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 16/8 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

16/8 = 2

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (2) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

16 - (8 x 2) = 0

Step 3: Our mixed fraction

We've now simplified 16/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 (0/8)

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer.

8 0
3 years ago
What are the solutions to the equation?
Rzqust [24]

Answer:

Hello! Your answer is 276

Step-by-step explanation:

Let's just break up the equation:

(3.x2) + (6x45)

  6    +     270

<u><em>Hence, the answer is 276</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>Hope This Helps :)</em></u>

<u><em>Please mark brainliest</em></u>

8 0
3 years ago
Solve: one seventh + nine fourteenths = _____
weqwewe [10]

Answer: 11/14, also known as eleven fourteenths

Step-by-step explanation:

Hope this helped ! :)

3 0
3 years ago
PLEASE HELP ASAP! 20 POINTS AND ILL GIVE YOU A BRAINLIEST!!
nikitadnepr [17]
It is A because you are adding 3 to in if you were to subtract then it will go down not up.
7 0
3 years ago
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