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Nana76 [90]
3 years ago
6

The width, w, of a rectangular playground is x+3. The area of the playground is x^3-7x+6. What is an expression for the length o

f the playground?
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0
We know that the area of a rectangle:

A = l * w

Therefore, x³-7x+6 = length * (x+3) 

If we want to find the length, we must get this alone on the right side of the equation.  We can do this by dividing both sides by the width, which we know is x+3.

Thus, an expression for the length is equal to x³-7x-6/(x+3).
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Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
ValentinkaMS [17]

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
  • brainly.com/question/568302

#LearnwithBrainly

8 0
3 years ago
Need help with circle measurements in Geometry.
Ymorist [56]
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5 0
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-22m-13n<br><br>i need to factorise this
sukhopar [10]
1 22. 1 13
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3 years ago
Write the ordered pairs for the original shape and the transformation
Vadim26 [7]
For the solid line it is (0,-3), (0,3), (-3,4)
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hope this helps don't know for sure though if its right i just did the best i could do.
4 0
3 years ago
Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.
Slav-nsk [51]

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

5 0
3 years ago
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