Answer:
Reflecting a point across the y-axis -> changes the sign of the x-coordinate
Reflecting a point across both axes -> changes the sign of both coordinates
Reflecting a point across the x-axis -> changes the sign of the y-coordinate
Step-by-step explanation:
Reflections:
- The rule to reflect a point across the y-axis is (-x, y), meaning that the x-coordinate's sign changes.
- Reflecting a point across both axes is the same thing as rotating it 180 degrees, so the rule is (-x, -y). This means that both coordinates' signs change.
- Reflecting a point across the x-axis is (x, -y), meaning that the y-coordinate's sign changes.
3 + 5(c + 3) = -17
First, subtract 3 from both sides. / Your problem should look like:
Second, simplify -17 - 3 to get -20. / Your problem should look like:
Third, divide both sides by 5. / Your problem should look like:
Fourth, simplify

to 4. / Your problem should look like:
Fifth, subtract 3 from both sides. / Your problem should look like:
Sixth, simplify -4 - 3 to get -7. / Your problem should look like:

Answer:
c = -7
4 (3x+9)-3(5y+7) =11
distribute
12x +36 -15y -21 =11
12x -15y +15 =11
subtract 15 from each side
12x -15y =-4
subtract 12x from each side
-15y= - 12x-4
divide by -15
y = -12/-15 x -4/-15
y = 4/5 x + 4/15
slope = 4/5
y intercept = 4/15
Answer: She earned 868,5 in total last week.
Step-by-step explanation:
18 x 40 = 720 --> earned during the first 40 hours of work
27 x 5,5 = 148,5
148,5 + 720 = 868,5--> total
Answer:
Vertical : Angles 1 & 4 Supplementary: 5 & 6
Step-by-step explanation:
Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)