Answer:
Step-by-step explanation:
eq of a line through (x1,y1) and slope m is
y-y1=m(x-x11)
y+3=3(x+4)
y+3=3x+12
y=3x+12-3
y=3x+9
<span>Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount).
For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc.
Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent.
Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.</span>
Answer:
The function with blue line (see attachment) represents the graph of 
after it is translated 3 units down.
Step-by-step explanation:
Mathematically speaking, a translation in the y-direction is defined by the following expression:
(1)
Where:
- Resulting function.
- Original function.
- Translation factor (
- Translation in the +y direction/
- Translation in the -y direction).
If we know that original function is translated 3 units down and , then the resulting function is:
Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:
Please notice that the red line represents the original function, whereas the blue line represents the resulting function.
Answer:
44 years
Step-by-step explanation:
The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?
Let Michael age = x , Leah = y
x+ y = 71 ....... ..(1)
10 year ago
Michael = x -10
Leah = y - 10
Michael = 2×leah
x - 10 = 2(y-10)
x - 10= 2y - 20
x - 2y = -20+10
x - 2y = -10 ...........(2)
x + y = 71 ......... (1)
Solve simultaneously using elimination method, subtract 1 from 2
-2y - y = -10-71
-3y = -81
Divide both sides by -3
y = -81/-3
y =27
x+y = 71
Put y =27
x+27= 71
x = 71 -27
x =44 years
Therefore Michael is 44years
I hope this was helpful, please mark as brainliest
