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Umnica [9.8K]
4 years ago
13

I NEED HELP FAST!!!!!!!!!!!!!

Mathematics
2 answers:
Alexandra [31]4 years ago
8 0
P and C. K and T are just lines
Fofino [41]4 years ago
8 0
P and C (because they have marked points)
Not k or t because they are the labeled lines, not points.
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Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
3 years ago
What are the zero(s) of the function f(x)4x^2-36x/x-9
Katarina [22]
<span>4x^2-36x/x-9
= 4x(x-9) / (x-9)

if 4x = 0, ⇒ x = 0
x-9 ≠ 0

 zero of function is 0.

</span>
6 0
4 years ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
3 years ago
Read 2 more answers
Samir had 30 dollars to spend on 3 gifts. He spent 9
ladessa [460]

Answer:

<em>Gift 1 ($9) Gift 2 ($10) </em>

Step-by-step explanation:

<em>First we know that Samir had 30 dollars to spend on 3 gifts. If he bought gift 1 for $9, and gift 2 for $10. Then Samir should have $11 for gift 3 that he can spend.</em>

<em>9+10=$19,  $30-19=$11 Hope This helps! Mark Brainllest if it is correct!</em>

5 0
3 years ago
Find the volume of the rectangular prism. Type your result in the empty box provided. V=whl
nata0808 [166]

Answer:

V = 36 ft³

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = whl

Step-by-step explanation:

<u>Step 1: Define variables</u>

w = 3 ft

l = 6 ft

h = 2 ft

<u>Step 2: Find Volume</u>

  1. Substitute:                    V = (3 ft)(6 ft)(2 ft)
  2. Multiply:                        V = (18 ft²)(2 ft)
  3. Multiply:                        V = 36 ft³
5 0
3 years ago
Read 2 more answers
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