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Goryan [66]
3 years ago
6

Solve by Elimination b) -4x+2y=-4 4x-5y=-8

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

x = 3

y = 4

Step-by-step explanation:

-4x+2y=-4   -----(eq1)

4x-5y=-8 ------(eq 2)

by elimination,

(eq1) + (eq 2),

(-4x+2y) + (4x-5y) = -4 + (-8)

-4x+2y + 4x-5y = -4 -8

2y-5y = -12

-3y = -12   (divide both sides by -3)

y = -12 / (-3) = 12/3 = 4  (sub back into (eq 1) )

-4x+2y=-4   -----(eq1), when y = 4,

-4x+2(4)=-4  

-4x+8 = -4    (subtract 8 from both sides)

-4x= -4   - 8

-4x= -12 (divide both sides by -4)

x = -12 / (-4) = 3

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A number pattern starts with 10 and follows the rule multiply by 3 What is true
lesya692 [45]

Answer:

B) They have a 0 in the ones place.

Step-by-step explanation:

Given

Number pattern that starts with 10.

Rule: Multiply by 3

Required

Select which statement is truth of the pattern.

First, the pattern needs to be listed out.

Given that the pattern starts from 10 and progresses by multiplying current term by 3.

The pattern is as follows;

10, 30, 90, 270, 810, 2430, 7290, .....

By comparing the given options with the above pattern of numbers. We have:

A) They are odd numbers.

This statement is false because the above pattern of numbers are all even and can never be odd

B) They have a 0 in the ones place.

This statement is truth because all the numbers in the above progression ends in 0. This 0 represents the unit of one's place.

Hence, this statement is truth.

C) They have a 3 in the tens place.

This statement is false;

This is so because they have different digits at tens place. The tens place is the digit prior to the last digit of each number.

D) They can be odd or ever numbers.

As pointed out in (A) above, the number can only be even number because the progression starts with an even number (10) and irrespective of what it's been multiplied by, it'll always remain an even number.

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3 0
3 years ago
A regular polygon has an interior angle of approximately 158.8°.
Step2247 [10]

Answer:

  • 17 sides

Step-by-step explanation:

<u>Property of regular polygons:</u>

  • Sum of Interior Angles = (n−2) × 180°, where n is number of sides

<u>In our case we have:</u>

  • 158.8×n = (n - 2)×180
  • 180n - 158.8n = 360
  • 21.2n = 360
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  • n = 17
5 0
3 years ago
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