Answer:
-4
Step-by-step explanation:
There are many methods to solve this system of equations.
I will use the elimination method.
First step:
Multiply the first equation by -2
2(2x-3y) = -14(-2)
-4x + 6y = 28
Multiply the second equation by 3 so you can eliminate the y term
3(3x-2y) = -6(3)
9x-6y = -18
Second step: Add the equations vertically(Basically adding like terms)
-4x+6y = 28
+
9x - 6y = -18
5x = 10
Third step: Solve for x
x = 2
Substitute the x-value into any of the original equation to get the y value
3(x) - 2y = -6
3(2) - 2y = -6
6 - 2y = -6 (Since we are solving for y, it will be isolated and we will move 6 to the other side)
-2y = -6 - 6(Moving 6 to the other side makes it negative)
Solve for y by dividing by -2
y = 6
So (x, y) = (2, 6)
Since the question is asking to subtract x and y
2-6 = -4
Answer:
The answer to your question is 39 lb
Step-by-step explanation:
Data
Force = 60 lb
angle = 40°
vertical component = ?
Process
To answer this question, we must imagine a right triangle where the force gave is the hypotenuse, and the vertical component will be the opposite side to the 40° angle.
1.- Look for a trigonometric function that relates the opposite side and the hypotenuse
sin Ф = Opposite side / hypotenuse
- Solve for Opposite side
Opposite side = hypotenuse x sin Ф
- Substitution
Opposite side = 60 x sin 40
- Simplification
Opposite side = 60 x 0.64
- Result
Opposite side = 38.56 ≈ 39 lb
Hello!
The Correct Answer are:
1. <span>C. 31,536,000 seconds
2. </span><span>C. 7,700,000
3. </span><span>90,000 meters
4. </span><span>A. 1,260 and 151,200
5. </span>67 feet
6. B and D
7. 15 x 24 = 360 rings and in another case we have 12 rows and each has 18 rings so in total we have : 12 * 18 = 216 so jewelry store has (360 - 216) rings more than other case so jewelry store has 144 rings more than other case.
8. 23 because 195 + 127 = 322 322/14 = 23
9. B and C
10. We know that 1 hundred= 100= 1*10^2. Therefore, 6,000 hundreds is equal to:
6,000*(1*10^2)= 600,000
Because 600,000 ≠ 6,000,000, Carlos is wrong.
Hope this All Helps! Took me Time!
Have A Wonderful Day! :)
Answer:
-9.87
Step-by-step explanation:
-4.53 -5.43
= -9.87
The angle m∠AFE is 128 degrees.
<h3>How to find angles?</h3>
∠AFB ≅ ∠EFD
∠EFD = 5x + 6
m∠DFC = (19x - 15)°
m∠EFC = (17x + 19)°
m∠AFE = ?
m∠AFB + m ∠EFD + m∠AFE = 180
Therefore,
5x + 6 + 5x + 6 + m∠AFE = 180
5x + 5x + 6 + 6 + m∠AFE = 180
10x + 12 + m∠AFE = 180
10x + m∠AFE = 180 - 12
10x + m∠AFE = 168
m∠AFE = 168 - 10x
m∠EFC = m ∠EFD + m∠DFC
17x + 19 = 5x + 6 + 19x - 15
17x - 5x - 19x = 6 - 15 - 19
-7x = - 28
x = 28 / 7
x = 4
Therefore,
m∠AFE = 168 - 10x
m∠AFE = 168 - 10(4)
m∠AFE = 168 - 40
m∠AFE = 128°
Therefore, the angle m∠AFE = 128°
learn more on angles here: brainly.com/question/13212279
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