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dalvyx [7]
3 years ago
11

1-4y^2 in factored form

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

(1 -2y)(1 +2y)

Step-by-step explanation:

The difference of squares is factored as ...

... a² - b² = (a -b)(a +b) . . . . . . . . a form you should keep handy

Here, you have a=1, b=2y, so your factored form is ...

... 1 -4y² = (1 -2y)(1 +2y)

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qwelly [4]
Hopefully it’s correct

3 0
2 years ago
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Is anyone able to figure this out, I can't do this
katrin [286]

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

\implies r^2 + r^2 = c^2

\implies 2r^2 = c^2

\implies c=\sqrt{2r^2}

So the diagonal of the square = \sqrt{2r^2}

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

\implies \sqrt{2r^2}+r=1

\implies \sqrt{2r^2}=1-r

\implies 2r^2=(1-r)^2

\implies 2r^2=1-2r+r^2

\implies r^2+2r-1=0

Using the quadratic formula to calculate r:

\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}

\implies r=\dfrac{-2\pm\sqrt{8}}{2}

\implies r=-1\pm\sqrt{2}

As distance is positive, r=-1+\sqrt{2}=\sqrt{2}-1  only

5 0
2 years ago
Read 2 more answers
Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3
NikAS [45]

Answer:

(2,-3) and (-2,5)

Step-by-step explanation:

Let us graph the two equations one by one.

1. f(x)=-2x+1

If we compare this equation with the slope intercept form of a line which is given as

y=mx+c

we see that m = -1 and c =1

Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .

Let us find another point by putting x = 1 and solving it for y

y=-2(1)+1

y=-2+1 = -1

Let us find another point by putting x = 2 and solving it for y

y=-2(2)+1

y=-4+1 = -3

Hence the another point will be (2,-3)

Let us find another point by putting x = -2 and solving it for y

y=-2(-2)+1

y=+1 = 5

Hence the another point will be (-2,5)

Now we have two points (0,1) ,(1,-1) ,  (2,-3) and (-2,5) we joint them on line to obtain our line  

2.

g(x)=y=x^2-2x-3

y=x^2-2x+1-1-3

y=(x-1)^2-4

(y+4)=(x-1)^2

It represents the parabola opening upward with vertices (1,-4)

Let us mark few coordinates so that we may graph the parabola.

i) x=0 ; y=y=(0)^2-2(0)-3=0-0-3=-3 ; (0,-3)

ii)x=-1 ; y=(-1)^2-2(-1)-3=1+2-3=0 ; (-1,0)

iii) x=2 ; y=(2)^2-2(2)-3 = 4-4-3 =-3 ;(2,-3)

iii) x=1 ; y=(1)^2-2(1)-3 = 1-2-3 =-4  ;(1,-4)

iii) x=-2 ; y=(-2)^2-2(-2)-3 = 4+4-3 =5  ;(-2,5)

Now we plot them on coordinate axis and line them to form our parabola

When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.

3 0
3 years ago
Oscar painted1/6 of a wall in 2/3hours at this rate how many hours will it take him to paint the whole wall?
topjm [15]

Answer:

b

Step-by-step explanation:

the answer is b because you add all those together then boom

8 0
3 years ago
Solve for<br><br> 2u = 4/9<br><br> Simplify your answer as much as possible.
mafiozo [28]

Answer:

2/9

Step-by-step explanation:

If you meant you want to find U,

1) Divide both side by 2. -> U = 4/9 divided by 2

2) You get U = 4/18, which you can further simplify by dividing 2 on top and bottom to get 2/9

6 0
3 years ago
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