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frosja888 [35]
3 years ago
8

What are the solutions to x^2-13x+30

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0
ax^2+bx+c=0  \\ \\
x^2-13x+30 = 0 \\ \\ D=b^2-4ac = 169-120=\sqrt{49} =7 \\ \\ x_{1/2} =  \frac{-b^2+/-\sqrt{D}}{2a} = \frac{13+/-7}{2*1} \\ \\ x_1 = \frac{13+7}{2} = 10 \\ \\ x_2 = \frac{13-7}{2} = 3
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Find the equation of a line that passes through the points (-2,-3) and (4,1)
TiliK225 [7]

The equation of the line from give points is y = 2/3x - 5/3.

According to the statement

We have given that the two points which are (-2,-3) and (4,1)

And we have to find the equation of a line that passes through the given points.

So,For this purpose,

First, we need to determine the slope of the line. The slope can be found by using the formula:

m = \frac{(y_2) -(y_1)}{(x_2) -(x_1)}

Where

m is the slope and

Substituting the values from the points in the problem gives:

m = 1 + 3 /4 + 2

m = 4/6

m = 2/3.

And then

Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:

y - (y_1) = m(x -x_1)

Put the values in it then

y - (-3) = 2/3 (x-(-2))

y +3 = 2/3 (x +2)

3y + 9 = 2x + 4

3y - 2x = 4 -9

3y -2x = -5

3y = 2x - 5

y = 2/3x - 5/3.

So, The equation of the line from give points is y = 2/3x - 5/3.

Learn more about equation of the line here

brainly.com/question/13763238

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4 0
1 year ago
Tiffany's Furniture Store buys a table at a wholesale price of $103.00 If the markup rate at Tiffany's Furniture Store is 55% wh
Doss [256]
$103.00 x (0.55) = <span>$56.65

answer

markup : $56.65</span>
5 0
3 years ago
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The equation (x + 6)^2 + (y + 4)^2 = 36 models the position and range of the source of a radio signal. Describe the position of
ElenaW [278]
A circle equation is :
( x - p )² + ( y - q )² = r², where p and q are coordinates of the center.
The position of the source is : ( - 6, - 4 ) and the range :
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3 0
3 years ago
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The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
Arturiano [62]

Answer:

<h2>-3n = 27</h2>

Step-by-step explanation:

The product of a number and negative three is twenty-seven.

<em>n - </em><em>a number</em>

the product of a number and negative three: <em>n · (-3) = -3n</em>

5 0
3 years ago
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The sum and product of zeroes are 4 and 1 respectively then the quadratic equation is
Zinaida [17]

Answer:

A. x²- 4x+ 1

option A is the answer

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2 years ago
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