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k0ka [10]
3 years ago
10

I need to factor 2x squared plus 6X minus 80

Mathematics
1 answer:
hjlf3 years ago
8 0
2x*2 + 6x + 80

First we have to use distribution property

2(x*2 + 3x + 40)=0
Divide 2 to both sides

X*2 + 3x + 40=0

Multiply -1
-x*2 -3x-40=0
Add two numbers to get 3x
Multiply same two numbers that you add to get 40x*2

Add
-8x+5x= -3x


Multiply
-8x . 5x= -40x*2


-x*2-8x+5x-40

(X*2-8x) + (5x-40)

X(x-8)+ 5(X-8)

Common factor

(X-8)(x+5)


This would help you!
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When measuring the length a and the width b of a rectangle, it was found that 5.4< a< 5.5 and 3.6< b< 3.7 (in centim
leva [86]

Answer:

The possible values of the perimeter of the rectangle is between 18 and

18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the length of its

  four sides

- The rectangle is a quadrilateral with each two opposite sides are

  equal in lengths, then its perimeter = 2l + 2w, where l, w are its

  length and width

∵ The the length of the rectangle is a

∵ 5.4 < a < 5.5 cm

∵ The perimeter of the rectangle = 2a + 2b

- Lets multiply the inequality by 2

∴ 5.4 × 2 < a × 2 < 5.5 × 2

∴ 10.8 < 2a < 11 ⇒ (1)

∵ The width of the rectangle is b

∵ 3.6 < b < 3.7 cm

- Lets multiply the inequality by 2

∴ 3.6 × 2 < b × 2 < 3.7 × 2

∴ 7.2 < 2b < 7.4 ⇒ (2)

- <u><em>Add inequalities (1) and (2)</em></u>

∵     10.8 < 2a < 11

  +   7.2 < 2b < 7.4

∴  18 < 2a + 2b < 18.4

∵ 2a + 2b represents the perimeter of the rectangle

∴ The possible values of the perimeter of the rectangle is between

  18 and 18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

7 0
3 years ago
Is 5/12 greater than 0.44
grin007 [14]
If you would like to know if is 5/12 greater than 0.44, you can calculate this using the following step:

0.44 = 44/100 = 11/25 = 132/300
5/12 = 125/300

Result: 0.44 is greater than 5/12 (0.44 = 132/300 > 5/12 = 125/300).
3 0
2 years ago
Read 2 more answers
What is 13 - 4x = 1 - x
JulsSmile [24]
13-4x=1-x
13=4x+x=1-x+x
13-3x=1
13-1-3x=1-1
12-3x=0
12=3x
12/3=3x/3
4=x
Therefore, x=4
5 0
3 years ago
Choose the correct equation for the parabola based on the given information. Given: Focus:(2,8) Directrix: y = 4 a. 2(y-2)= (x-
Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.

(h,k) = (2,6)

4p(y-k) = (x-h)^2

4*2(y-6) = (x-2)^2

8(y-6) = (x-2)^2

8 0
3 years ago
Simplify<br>5/2y-1 - 6/3y-1​
Kipish [7]

Answer:

Step-by-step explanation:

First Group like terms:

5/2y-6/3y-1-1

Add similar elements:5/2y-6/3y=1/2y

1/2y-1-1

1/2y=y/2

=y/2-1-1

=y/2-2

6 0
2 years ago
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