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Likurg_2 [28]
3 years ago
9

PLEASE HELP ME :(

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

2x² + 5x + 3 = (2x + 3)(x + 1)

Step-by-step explanation:

* Lets explain how to factor a trinomial in the form ax² ± bx ± c:

- Look at the last term c  

# If the c term is a positive number, then its factors r , s  will both

 be positive or both be negative  

# a has two factors h and k  

# The brackets are (hx ± r)(kx ± s) where a = hk , c = rs and b = rk + hs

# If the c term is a negative number, then either r or s will be negative,  

  but not both.

# a has two factors h and k  

# The brackets are (hx + r)(kx - s) <em>or</em> (hx - r)(kx + s)where a = hk ,

   c = rs and b = rk - hs

* Lets solve the problem

∵ The equation is 2x² + 5x + 3 = 0

∵ The general form of the equation is ax² + bx + c = 0

∴ a = 2 , b = 5 , c = 3

∵ c is positive

∴ Its factors r and s have same sign

∵ c = 3

∵ 3 = 3 × 1

∴ r = 3 and s = 1  

∵ a = 2  

∵ The factors of a are h , k

∵ 2 = 2 × 1

∴ h = 2 and k = 1  

∵ The brackets are (hx + r)(kx + s)

∴ 2x² + 5x + 3 = (2x + 3)(x + 1)

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: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slop
Ierofanga [76]

Answer:

           slope:      \bold{m=3}

      equation:     \bold{y-2=3(x-1)}

Step-by-step explanation:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(1,\,2)\ \implies\ x_1=1\,,\ y_1=2\\(0,\,-1)\ \implies\ x_2=0\,,\ y_2=-1\\\\m=\dfrac{-1-2}{0-1}=\dfrac{-3}{-1}=3

y-y_1=m(x-x_1)      - point-slope form of Equation of the Line

x_1=1\,,\ y_1=2\,,\ m=3\\\\equation:\\{}\qquad\qquad y-2=3(x-1)

8 0
3 years ago
The coordinates of points M,N, and P are ....
Rainbow [258]

Answer:

(-1, -1) Let me know if the explanation didn't make sense.  

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

y+1 = 0(x-5) -> y = -1

So now we want these two to intersect.  We just set them equal to each other.

-1 = -4x -5 -> -1 = x

So this gives us our x value.  Now we can plug that into either function to find the y value.  This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)

8 0
3 years ago
How to solve the equation
tatiyna

Answer:

ha

Step-by-step explanation:

hahaha thanks for the points ha

8 0
2 years ago
The Kuroshio Sea tank is 27m long, 35m wide and 10m deep. What is the volume of the tank? Show your
umka21 [38]

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

Step-by-step explanation:

The given is,

                 Kuroshio Sea tank is 27m long, 35m wide and 10m deep.

Step:1

                Sea tank looks like a rectangular prism,

                 Formula to calculate the volume of rectangular prism,

                                   Volume, V =whl.............................(1)

                Where, w - Width of the rectangular prism

                              h - Height or depth of the rectangular prism

                               l - Length of the rectangular prism

              From given,

                       w = 35 meters

                         l = 27 meters

                        h = 10 meters

             Equation (1) becomes,

                                              V = (35)(10)(27)

                                                  = (945)(10)

                                                 =9450

      Volume of the sea tank, V = 9450 Cubic meters

Result:

         The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

           

3 0
3 years ago
What is the answer for x because i got x/2- 5=4
Firlakuza [10]

Answer:

x/2=5+4=9

x=9*2=18

x=18!

8 0
3 years ago
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