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jasenka [17]
4 years ago
9

Combine the like terms to create an equivalent expression: \large{-k-(-8k)}−k−(−8k)minus, k, minus, (, minus, 8, k, )

Mathematics
1 answer:
PIT_PIT [208]4 years ago
3 0

Answer:

7k

Step-by-step explanation:

The given expression is

-k-(-8k)

We need to find the simplified form of the given expression.

Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.

The given expression can be rewritten as

-k+8k

On combining like terms we get

(-1+8)k

7k

Therefore, the equivalent expression of the given expression is 7k.

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Simplify the expression 5(x − 3)(x2 + 4x + 1).
Vitek1552 [10]

Answer:

5x³ + 5x² - 55x - 15

Step-by-step explanation:

simplify the expression:

5(x − 3)(x² + 4x + 1)

use the distributive property to multiply 5 by x-3

(5x - 15) (x² + 4x + 1)

Use the distributive property to multiply 5x−15 by x² +4x+1 and combine like terms

5x³ + 5x² - 55x - 15

================

4 0
3 years ago
Read 2 more answers
CAN SOMEONE PLS ANSWER-If W(- 10, 4), X(- 3, - 1) , and Y(- 5, 11) classify AEXY by its sides . Show all work to justify your an
AnnZ [28]

Answer:

  • WX = \sqrt{74} \approx 8.6023253\\\\
  • XY = 2\sqrt{37} \approx 12.1655251\\\\
  • WY = \sqrt{74} \approx 8.6023253\\\\
  • Classify:  Isosceles

============================================================

Explanation:

Apply the distance formula to find the length of segment WX

W = (x1,y1) = (-10,4)

X = (x2,y2) = (-3, -1)

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-3))^2 + (4-(-1))^2}\\\\d = \sqrt{(-10+3)^2 + (4+1)^2}\\\\d = \sqrt{(-7)^2 + (5)^2}\\\\d = \sqrt{49 + 25}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\

Segment WX is exactly \sqrt{74} units long which approximates to roughly 8.6023253

-------------------

Now let's find the length of segment XY

X = (x1,y1) = (-3, -1)

Y = (x2,y2) = (-5, 11)

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-5))^2 + (-1-11)^2}\\\\d = \sqrt{(-3+5)^2 + (-1-11)^2}\\\\d = \sqrt{(2)^2 + (-12)^2}\\\\d = \sqrt{4 + 144}\\\\d = \sqrt{148}\\\\d = \sqrt{4*37}\\\\d = \sqrt{4}*\sqrt{37}\\\\d = 2\sqrt{37}\\\\d \approx 12.1655251\\\\

Segment XY is exactly 2\sqrt{37} units long which approximates to 12.1655251

-------------------

Lastly, let's find the length of segment WY

W = (x1,y1) = (-10,4)

Y = (x2,y2) = (-5, 11)

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-5))^2 + (4-11)^2}\\\\d = \sqrt{(-10+5)^2 + (4-11)^2}\\\\d = \sqrt{(-5)^2 + (-7)^2}\\\\d = \sqrt{25 + 49}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\

We see that segment WY is the same length as WX.

Because we have exactly two sides of the same length, this means triangle WXY is isosceles.

8 0
3 years ago
Find the area of a regular octagon with
vodka [1.7K]

Answer:

Step-by-step explanation:

Area=2(1+\sqrt{2})8²

       =309.0(round to nearest tenth)

5 0
3 years ago
Please help me with this it's really important
wlad13 [49]

Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

3 0
3 years ago
What is the estimate of 2 1/3 - 2/3
Dmitry_Shevchenko [17]
2 1/3 - 2/3 would equal 1 2/3. Hope this helps!
7 0
3 years ago
Read 2 more answers
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