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natka813 [3]
3 years ago
7

How to factor 5x^2 +4x -1

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0
5x^2+4x-1\\\\Method\ 1:\\\\5x^2+4x-1=5x^2+5x-x-1=5x(x+1)-1(x+1)\\=(x+1)(5x-1)\\\\5x^2+4x-1=(x+1)(5x-1)\\\\Method\ 2:\\\\5x^2+4x-1\\a=5;\ b=4;\ c=-1\\\\\Delta=b^2-4ac\\\\\Delta=4^2-4\cdot5\cdot(-1)=16+20=36 \ \textgreater \  0\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{36}=6\\\\x_1=\dfrac{-4-6}{2\cdot5}=\dfrac{-10}{10}=-1\\\\x_2=\dfrac{-4+6}{2\cdot5}=\dfrac{2}{10}=0.2\\\\5x^2+4x-1=5(x-0.2)(x+1)=(5x-1)(x+1)
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What is the slope for 3y+6x=9
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Answer:

The slope is -2!

Step-by-step explanation:

Lets Solve!

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First we subtract 6x from both sides

3y = -6x + 9

Next we divide by 3 from both sides.

y = -2x + 3

The slope is -2!

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2 years ago
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Using the formula C=2pi r find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.
Ivenika [448]

Answer: 88 inches

Step-by-step explanation:

We know that the formula to find the circumference of circle is given by :-

C=2\pi r, where r is the radius of the circle.

Given : Diameter of circle = 28 inches

Also, diameter is twice of radius.

i.e. 2r=28

Therefore, the circumference of circle will be :-

C=2\pi r=(2r)\pi=28\times(3.14)=87.92text{ inches}\approx88\text{ inches}

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5 0
3 years ago
The curved urface area of a cone i 140π cm2. What will be the radiu of a cone whoe lant height i 5 cm
VashaNatasha [74]

The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.

<h3>What is curved surface area?</h3>

The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".

Here,

Curved surface area of cone=πrl

=140π

l=5 cm

140π=πr*5

r=140/5

r=28 cm

The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.

To know more about curved surface area,

brainly.com/question/1037971

#SPJ4

7 0
1 year ago
2) f(x) = x2 - 6x +11<br> Degree:<br> Lead Coefficient:<br> End behavior:
Bad White [126]

Answer:

13 - 6 x

Step-by-step explanation:

4 0
3 years ago
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