find the slope and write the equation of the line that passes through the given points (5,6) and (3, 4)

Shannon is putting a fence around the garden ,except where there is a gate that is 3 feet wide .one foot of the fence cost $43.

AfilCa [17]

43 x 3 = 129 divided by 2 = 64.5

7 0

3 years ago

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Solve the following quadratic equation using the quadratic formula. Which of the following expressions gives the numerators of t

Illusion [34]

I hope the choices for the numerators of the solutions are given.

I am showing the complete work to find the solutions of this equation , it will help you to find an answer of your question based on this solution.

The standard form of a quadratic equation is :

ax² + bx + c = 0

And the quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

So, first step is to compare the given equation with the above equation to get the value of a, b and c.

So, a = 10, b = -19 and c = 6.

Next step is to plug in these values in the above formula. Therefore,

$x=\frac{(-19)-\pm\sqrt{(-19)^2-4*10*6}}{2*10}$

$=\frac{19\pm\sqrt{361-240}}{20}$

$=\frac{19\pm\sqrt{121}}{20}$

$=\frac{19\pm11}{20}$

So, $x=\frac{19-11}{20} ,\frac{19+11}{20}$

$x=\frac{8}{20} , \frac{30}{20}$

So, $x= \frac{2}{5} ,\frac{3}{2}$

Hope this helps you!

5 0

3 years ago

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there are 27 red or blue marbles in the bag the number of red marbles is five less than three times the number of the blue marbl

alexdok [17]

So assuming that the total =27
r+b=27
r=-5+3b
r=3b-5
subsitute 3b-5 for r in first equation
3b-5+b=27
4b-5=27
add 5
4b=32
divide by 4
b=8
subsitute
b+r=27
8+r=27
subtracct 8
r=19

red=19
blue=8

4 0

2 years ago

The perimeter of a rectangle is 34 units. Its width is 6.5 point, 5 units.

12345 [234]

<h3><u>Question:</u></h3>

The perimeter of a rectangle is 34 units. Its width W is 6.5 units.

Write an equation to represent the perimeter in terms of the length L, and find the value of L

<h3><u>Answer:</u></h3>

The length of rectangle is 10.5 units

<h3><u>Solution:</u></h3>

Given that,

Perimeter of rectangle = 34 units

Width of rectangle = 6.5 units

Let "L" be the length of rectangle

<em><u>The perimeter of rectangle is given by formula:</u></em>

Perimeter = 2(length + width)

<em><u>Substituting the values we get,</u></em>

$34 = 2(L + 6.5)$

Thus the equation is found

<em><u>Solve for "L"</u></em>

$L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5$

Thus length of rectangle is 10.5 units

6 0

3 years ago

What is the result when 8x^3+6x^2+15x+7 divides by 2x + 1

sveticcg [70]

Answer:

Step-by-step explanation:

3 0

2 years ago