Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
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2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11(
5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
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x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
Answer: The 20th term is 100
Step-by-step explanation: It adds by 6 each time
-14, -8, -2, 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70, 76, 82, 88, 94, 100
Answer:
c. has 12 hours of day and 12 hours of night for all locations
Step-by-step explanation:
The equinox is the time of the year marked by a nearly equal length of day and night. This word has a Latin root meaning which stands for equality, hence the word 'equinox'. It usually falls on March 21, and September 23 of every year. On these days the sun is above the equator.
The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.
Solve how much the salesperson makes in option A and use that value as the 5% of the total of sales to solve for option B
Answer:
Scale Factor = 2
Step-by-step explanation:
ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.
