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Ivahew [28]
11 months ago
10

Two lines. C and D. are represented by the equations given below:

Mathematics
1 answer:
anzhelika [568]11 months ago
5 0

The correct result would be (x, y) = (5, 17); because both lines pass through this point.

Given,

In the question:

Two lines. C and D are represented by the equations.

We have :

Line C. y = x + 12

Line D. y = 3X + 2

Now, According to the question:

y = x + 12

y = 3X + 2

Substitute into one of the equations

x + 12 = 3x + 2

Solve the equation:

Combine like terms:

x - 3x = 2 - 12

-2x = -10

x = -10/-2

x = 5

Put the value of x in equation of Line C

y = x + 12

y = 5 + 12

y = 17

Hence, The correct result would be (x, y) = (5, 17); because both lines pass through this point.

Learn more about Lines at :

brainly.com/question/17188072

#SPJ1

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Irina18 [472]
\text{Distance = } \sqrt{(5 + 8)^2+ (-3 + 3)^2 }=   \sqrt{13^2} = 13

Answer: 13 units
6 0
3 years ago
|x-1|+2<4 solving for x
Ganezh [65]

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

  • |x-1| + 2 - 2 < 4 - 2
  • |x-1|

Step 2: Solve absolute value.

  • We know x - 1 < 2 and x - 1 > -2.

Condition 1:

  • x - 1 < 2
  • x - 1 + 1 < 2 + 1 (Add 1 to both sides)
  • x < 3

Condition 2:

  • x - 1 > -2
  • x - 1 + 1 > -2 + 1 (Add 1 to both sides)
  • x>-1

Therefore, the answer is x < 3 and x > -1.

8 0
2 years ago
6th grade math
zubka84 [21]

They will both be replaced the 18th month.

5 0
3 years ago
Read 2 more answers
How do you estimate the sum of 198,260+31,900?
Vesnalui [34]

To estimate an amount to the tenth we have 3 steps to follow: ...

STEP 2: We add the rounded numbers. ...

STEP 1: Round the summands.

STEP 2: Add the rounded numbers.

STEP 3: Look at the total amount of rounding.

We have rounded the two summands down.

4 0
3 years ago
Veronica spent a minimum of $65 on a doll and accessories for the doll. The doll cost $26 and the accessories cost $13 each. Wri
ANEK [815]

Answer:  13x+26 \ge 65

If you solve for x, you get x \ge 3 which means she bought at least 3 accessories.

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

Explanation:

x = number of accessories, some nonnegative whole number

13x = amount spent on accessories only

For instance, let's say she bought 5 accessories. This means she spent 13x = 13*5 = 60 dollars on those five items.

This is on top of the $26 Veronica paid for the doll itself (without the accessories). In total, she spent 13x+26 dollars for the doll (26) and the accessories (13x) combined.

We're told she spent a minimum of $65, which means that she spent 65 or more dollars.

So the total cost (13x+26) must be equal to 65 or larger than 65.

We write that as 13x+26 \ge 65 which sets up the inequality.

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

Let's solve for x

13x+26 \ge 65\\\\13x \ge 65-26\\\\13x \ge 39\\\\x \ge 39/13\\\\x \ge 3\\\\

So x can be equal to 3, or larger than it.

The lowest value x can be is 3.

Meaning that she bought at least 3 accessories (ie she bought 3 or more accessories).

3 0
3 years ago
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