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Alisiya [41]
3 years ago
13

A student took a system of equations, multiplied the first equation by 2 and the second equation by 3, then added the results to

gether. Based on this, she concluded that there were no solutions. Which system of equations could she have started with?
1) 2x-4y=6
3x+6y=9

2) 3x+y=12
-3x+6y=6

3) -2x+4y=4
-3x+6y=6

4) 3x+6y=9
-2x-4y=4
Mathematics
1 answer:
egoroff_w [7]3 years ago
3 0

Answer:

system 4.

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18   ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12   ...(2)

add (1) and (2)

0+0=30

which is impossible .It has no solutions.

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Given that WA = 5x – 8 and WC = 3x + 2, find WB. A. WB = 5 B. WB = 8 C. WB = 10 D. WB = 17
rodikova [14]
The rest of the question is the attached figure.
============================================
Δ AYW a right triangle at Y ⇒⇒⇒ ∴ WA² = AY² + YW²
And AY = YB ⇒⇒⇒ ∴ WA² = YB² + YW²   → (1)
Δ BYW a right triangle at Y ⇒⇒⇒ ∴ WB² = BY² + YW²  → (2)
From (1) , (2)  ⇒⇒⇒ ∴ WA = WB  →→ (3)
Δ CXW a right triangle at Y ⇒⇒⇒ ∴ WC² = CX² + XW²
And CX = XB ⇒⇒⇒ ∴ WC² = XB² + XW²   → (4)
Δ BXW a right triangle at Y ⇒⇒⇒ ∴ WB² = XB² + XW²  → (5)
From (4) , (5)  ⇒⇒⇒ ∴ WC = WB  →→ (6)
From (3) , (6)
WA = WB = WC
given ⇒⇒⇒ WA = 5x – 8 and WC = 3x + 2
∴ <span> 5x – 8 = 3x + 2</span>
Solve for x ⇒⇒⇒ ∴ x = 5
∴ WB = WA = WC = 3*5 + 2 = 17

The correct answer is option D. WB = 17






7 0
3 years ago
Read 2 more answers
Need help tremendously
Alina [70]
<span>basically since 30 minutes is half of an hour, to get to a full hour you can multiply by 2, so you do that for both, 2/3 included so you get 2/3 * 2/1 4/3 is 1 1/3</span>
5 0
3 years ago
A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectang
Rama09 [41]

Answer:

150

Step-by-step explanation:

1) the full volume of the given pyramide may be calculated according to the formula:

V=1/3 *Area_of_base*height;

V=1/3 *(5*15)*12=300 (in³).

2) the half of the calculated volume is:

300/2=150 (in³)

8 0
3 years ago
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A hamburger stand sells hamburgers for $3.87. in one day the stand made $433.44. How many hamburgers were sold?
Makovka662 [10]
All you have to do is divide 433.44 by the price of the hamburgers, so 


433.44 ÷ 3.87 = 112


The answer is 112 (:
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