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amm1812
3 years ago
10

Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

x=1, x=-6

Step-by-step explanation:

x^2+5x-6=0 can be reduced to (x+6)(x-1)=0

we now have x+6=0 and x-1=0

solve by subtracting 6 from each side in the first equation and adding 1 to each side in the second.

x=1, x=-6

You might be interested in
Write an equation in Point slope intercept form that is parallel to 2x+3y=4 and passes through the point (1,-4)
yulyashka [42]

Answer:

slope - intercept form  

 y = \frac{-2}{3} x -\frac{10}{3}

Step-by-step explanation:

<u><em>Step(i)</em></u>

Given that the equation of the line 2 x+3 y = 4

The equation of the parallel line to the given straight line is

     a x +b y + k=0

The equation of the Parallel line to the given straight line is

   2x+3y+k=0

This line is passes through the point (1,-4)

  2(1) +3(-4)+k=0

⇒ 2-12 +k=0

⇒ -10 +k=0

⇒  k =10

<u><em>Step(ii):-</em></u>

The equation of the parallel line to the given straight line is

2 x + 3y + 10 =0

         3 y = -2x -10

           y = \frac{-2}{3} x -\frac{10}{3}

<u><em>Final answer:-</em></u>

slope - intercept form   y = mx +C

                                    y = \frac{-2}{3} x -\frac{10}{3}

3 0
3 years ago
How many different ways can the letters in the word triangle be arranged?
Ghella [55]
720 possible ways to arrange the word TRIANGLE
4 0
3 years ago
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
tatyana61 [14]

Answer:

104 ft²

Step-by-step explanation:

The area of the rectangle is represented by the following:

8ft x 10 ft = 80 ft

The area of the triangle is represented by the following:

(6ft x 8ft) divided by 2 = 24

By combining the values, you get 104 square feet.

3 0
2 years ago
Please I need help with just 1 and 2 please!!!
tankabanditka [31]
1.)

10/15 ÷ 5
= 2/3

2.)

7/21 ÷ 7
= 1/3
4 0
3 years ago
The perimeter of the rectangle below is 166 units. Find the length of side RS.
Wittaler [7]

The length of RS is 45 units if the perimeter of the rectangle below is 166 units.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is:

The perimeter of the rectangle below is 166 units. Find the length of the side RS. Write your answer without variables.

The figure is in the picture please refer to the picture.

The perimeter of the rectangle = 166 units

2(4x + 2 + 5x) = 166

9x + 2 = 83

9x = 81

x = 9

The length of RS = 5x = 5(9) = 45 units

Thus, the length of RS is 45 units if the perimeter of the rectangle below is 166 units

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

3 0
2 years ago
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