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3 years ago

PLEASE HELP!!!Simplify the expression and show your worksqrt110x^17y^12

Mathematics

1 answer:

leonid [27]3 years ago

6 0

Answer:

Step-by-step explanation:

10y2 - 17y + 12 = y + 16

10y2 - 17y + 12 - 16 = y

10y2 - 17y - 4 = y

10y2 -17y - y -4 = 0

10y2 -16y - 4 = 0

Now put formula

x = -b +- (square root) b2 - 4ac

a = 10 b= -16 c= -4

y = -(-16) +- (square root) -16 - 4 (10) (-4)

2(10)

y = 16 +- (square root) -16 - 400

y = 16 +- (square root) -416

y = 16 +- 20.396

Now this +- is the plus minus thingy in which two answers come

The first we will do is +

16 + 20.396 16 - 20.396

20 20

= 1.8198 = -0.2198

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S t are positive integers

Sindrei [870]

Given:

The expanded form of $(x+s)(x-t)$ is $x^2+Kx-40$ .

Where, s, t, K are positive integers.

To find:

The smallest possible value of K.

Solution:

The expanded form of $(x+s)(x-t)$ is $x^2+Kx-40$ . It means,

$(x+s)(x-t)=x^2+Kx-40$

$x^2-tx+sx-st=x^2+Kx-40$

$x^2+(s-t)x-st=x^2+Kx-40$

On comping both sides, we get

$K=s-t$ ...(i)

K is a positive integer if s>t.

And

$st=40$

The factor pairs of 40 are (1,40), (2,20), (4,10), (5,8), (8,5), (10,4), (20,2) and (40,1).

Since s>t, therefore the possible values for (s,t) are (8,5), (10,4), (20,2) and (40,1).

Using (i), find the value of K for each factor pair.

$K=8-5=3$

$K=10-4=6$

$K=20-2=18$

$K=40-1=39$

Therefore, the smallest possible value of K is 3.

3 0

3 years ago

Quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. vertex A is at (-5,2) , and vertex A' is ay (2,-2), quadrilatera

belka [17]

Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

5 0

3 years ago

PLZ HELP ill GIVE BRAINIESt!!!!20 Points

Ronch [10]

A) √50 = √(25 x 2) =√(5² x 2) = 5√2, what Jacklyn did is the other way round, instead of putting the perfect square out of the radical & keep the 2 inside, she inversed the sens of the operation

b) We have to find the square of the smaller & largest numbers that are near 50:

7² = 49 & 8² = 64==> so 49<50<64 & the number is between the square root of 7 & the square root of 8, but we also notice that 50 is very very near 49, hence let's try 7.1==> 7² = 7.1 x 7.1 = 50.41, which is a very good approximation. Then the approx. to √50 ≈ 50.41

7 0

4 years ago

Which is the best approximate solution of the system of linear equations y= 1.5x - 1 and y = 1

yan [13]

Answer:

4/3

Step-by-step explanation:

We can immediately eliminate y by setting y = 1 equal to y = 1.5x - 1:

1 = 1.5x - 1, or 1.5x = 2, or x = 2/1.5 = 4/3

6 0

4 years ago

When a line has an undefined slope, what will any two points on the line have in common?

Rudiy27

The X Factor Will Stay The Same
Hope This Helps

6 0

3 years ago

Read 2 more answers