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den301095 [7]
3 years ago
12

Suppose JK bisects angle LJM. The measure of angle LJK = (-10x + 3) and the measure of KJM = (-x + 21)º. Find the measure of ang

le LJM.
Need help on how to solve
Mathematics
1 answer:
Over [174]3 years ago
7 0
Well, take a look at this

-10x + 3 =  -x + 21

+ 10 x            +10x
--------------------------
3 = 9x + 21
-21         -21
---------------------
-18 = 9x
-2   = x

hope this helps
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Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value
MArishka [77]

Answer:

  • y = 81-x
  • the domain of P(x) is [0, 81]
  • P is maximized at (x, y) = (54, 27)

Step-by-step explanation:

<u>Given</u>

  • x plus y equals 81
  • x and y are non-negative

<u>Find</u>

  • P equals x squared y is maximized

<u>Solution</u>

a. Solve x plus y equals 81 for y.

  y equals 81 minus x

__

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

  P equals x squared left parenthesis 81 minus x right parenthesis

__

c. Find the domain of the function P found in part b.

  left bracket 0 comma 81 right bracket

__

d. Find dP/dx. Solve the equation dP/dx = 0.

  P = 81x² -x³

  dP/dx = 162x -3x² = 3x(54 -x) = 0

The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...

  P is maximized at (x, y) = (54, 27).

7 0
3 years ago
What are the solutions to the system of equations?
svet-max [94.6K]

Answer:the third option is correct

Step-by-step explanation:

The system of equations are

y = 2x^2 - 5x - 7 - - - - - - - - - - -1

y = 2x + 2 - - - - - - - - - - - - - 2

We would equate equation 1 and equation 2. It becomes

2x^2 - 5x - 7 = 2x + 2

2x^2 - 5x - 2x - 7 - 2 = 0

2x^2 - 7x - 9 = 0

We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore

2x^2 + 2x - 9x - 9 = 0

2x(x + 1) - 9(x + 1) = 0

2x - 9 = 0 or x + 1 = 0

2x = 9 or x = - 1

x = 9/2 = 4.5

Substituting x = 4.5 or x = -1 into equation 2, it becomes

y = 2 × 4.5 + 2 or y = 2 × - 1 + 2

y = 11 or y = 0

Therefore, the solutions are

(4.5, 11) (- 1, 0)

6 0
4 years ago
When the expression x^2+2x-8 is factored the two roots will equal
Vilka [71]

x^2+2x-8

(x+4) (x-2)

x=-4, x=2

5 0
3 years ago
Luis has a pyramid shaped plant pot. It has a square base with a side length of 36\text{ cm}36 cm36, start text, space, c, m, en
harkovskaia [24]

Answer:

15,552cm^3

Step-by-step explanation:

Given

Side of length of the square base = 36cm

Height of the pyramid shaped plant pot = 36cm

Since the question does not specify what to look for, we can as well look for the volume of the pyramid shaped plant pot.

Volume of a pyramid = \frac{Base\ area * Height}{3}

Since the base is square

Base area = L²

Base area = 36²

Base area = 1296cm²

Height of the pyramid = 36cm

Substituting the resulting values into the formula

Volume = \frac{1296*36}{3}\\ \\volume = 1296*12\\\\Volume \ of \ the \ pyramid = 15,552cm^3

4 0
3 years ago
A store sells three different packs of the same yogurt. Which pack is the best buy? Explain.
shtirl [24]

Answer:

$5.32

Step-by-step explanation:

I think its $5.32 because there is at least 6 yogurts in the pack, and its not to expensive as the first one. Plus it has 2 more yogurts then the third one.

(i am so sorry if this dosent make sense)

3 0
3 years ago
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