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Viktor [21]
3 years ago
6

Which of the following will be the solution for a two-order inequality?

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

(D) The intersection of two half planes.

Step-by-step explanation:

In order to solve the two order inequality, the two equations to be solved divides the cartesian plane into two half planes.

The intersection of the two inequalities gives the set of the points that satisfies both the inequalities. Thus, the solution of the two order inequality can be obtained by the intersection of the two half planes.

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Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years. Set up the two equations that can be used t
KatRina [158]

Answer:

The two equations that can be used to find each of their ages are x=4 \times y and x+y=60 .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

  • The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;

                                     x=4 \times y   ----------------- [equation 1]

  • The <u>second condition</u> states that the sum of their ages is 60 years, that means;

                                 x+y=60

                                4y + y = 60     {using equation 1}

                                  5y=60

                                   y=\frac{60}{5}

                                   y = 12 years

Now, putting the value of y in equation 1 we get;

                               x=4 \times y

                               x= 4 \times 12 = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

8 0
3 years ago
Solve 16.24 divided by 1000
cricket20 [7]
16.24 ÷ 1,000 = 0.01624

Good luck! <3

5 0
3 years ago
Read 2 more answers
Emma ran 3 miles in 28 minutes. How long would it take her to run 6 miles​
gayaneshka [121]

Answer:

56 minutes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HELP PLEASEEEE!!! First correct answer gets brainliest! ​
RUDIKE [14]

Answer:

It is a solution

Step-by-step explanation:

y = -4x - 8

Let x = -9 and y = 28

Substitute these values in

28 = -4(-9) -8

28 = 36 -8

28 =28

This is true so it is a solution

5 0
3 years ago
What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:
dimaraw [331]

Focus on triangles DFC and DFE:

  • They are both right triangles because DF is perpendicular to EC
  • DC=DE
  • DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular

8x=3x+15 \iff 5x=15 \iff x=3

And since x=3, the length of EF is

EF=3x+15=3\cdot 3+15=24

7 0
3 years ago
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