Answer:
D
Step-by-step explanation:
We have the set:
Remember that the domain for a set of values is simply the input values.
In other words, our domain will be all of our x-coordinates.
We can see that our x-coordinates are: 2, -1, 0, -1, and 4.
So, our domain is:
Note that we only write need to write the -1 once.
So, our answer is D.
And we're done!
Answer:
His new income is $26,910.
Step-by-step explanation:
As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:
910 / 3.5 = 1% salary
260 = 1% salary
260 x 100 = previous salary
26,000 = previous salary
26,000 + 910 = current salary
26,910 = current salary
Therefore, his new income is $26,910.
Answer: SAS similarity theorem
Build proportional relation:
- So, the given that <u>two sides are congruent</u> and <u>one angle equal</u>.
Theorem followed: SAS similarity theorem
To solve each of the problems, I first looked for the equation that had the same slope value and then plugged in the 'x' coordinate to see if it gave me the correct 'y' coordinate.
1.)
D.) y = 5x + 4
14 = 5(2) + 4
14 = 10 + 4
14 = 13
2.)
C.) y = 1/5x - 19
-16 = 1/5 (15) - 19
-16 = (3) - 19
-16 = -16
3.) First, get 'y' by itself by subtracting 4x from both sides and dividing the whole equation by -12. To find perpendicular lines, the slope must be the opposite reciprocal of the first slope (in this case, flip the fraction to get the three on top). Add the opposite sign to the slope as your final step.
4x - 12y = 2
-4x -4x
-12y = -4x + 2
-12y / -12 = -4x / -12+ 2 / -12
y = 1/3x - 1/6
C.) y = -3x + 29
-1 = -3(10) + 29
-1 = (-30) + 29
- 1 = -1
It is 91/32 or 2 27/32 or 2.84375
