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3 years ago

Simplify the expression.

1 answer:

8 0

The answer is 2k^2 - 7k - 4 because 2k x k is 2k^2 and 2k x (-4) is -8k and 1 x k is k and 1 x (-4) is -4. So then you would get 2k^2 - 8k + k - 4 which simplifies to 2k^2 - 7k - 4 which is your answer.

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find three consecutive odd integers such that the square of the first plus the square of the third is 170

scZoUnD [109]

Here is the set up:

x
x + 2
x + 4

x^2 + (x + 2) + (x + 4)^2 = 170

Take it from here.

4 0

3 years ago

How are the solution sets to s<3 and |s|<3 different ?

Contact [7]

Answer:

they are different because of the mode sign on the second 's',

which if you are wondering what it stands for,

it represents only the magnitude of the value needed, not its sign,

let the assumed value of s be -5,

for example iin the first case, s < 3

hence s = -5, and it is true for s < 3

if we take the second case, lsl < 3

that would be s = 5 [ not -5], which would not be true for lsl < 3

i hope u understood it,

if any more questions...please ask :)

8 0

3 years ago

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

3 years ago

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irina [24]

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Complete the statement.

mario62 [17]

Answer:

Step-by-step explanation:

edg 2020

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2 years ago

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