Answer:
(-3,-4)
Step-by-step explanation:
When reflecting across the y-axis, you will mirror the coordinates across the y-axis. This means (5,-4) will turn into (-5,-4) because mirroring it across the y-axis will only change the x coordinate. Then, to translate it to the right, you move to the right two times to give you (-3,-4). The y-coordinate will never change in this situation because you are only reflecting and moving left and right.
Answer:
see explanation
Step-by-step explanation:
a and 85 form a straight angle and are supplementary, thus
a + 85 = 180 ( subtract 85 from both sides )
a = 95
b and 85 are vertical angles and are congruent, thus
b = 85
c and 85 are corresponding angles and congruent, thus
c = 85
c and d are vertical angles and congruent, thus
d = 85
In conclusion
a = 95, b = 85, c = 85, d = 85
Answer:
(-2, -3)
Step-by-step explanation:
x coord. from -6 to 4 is 10 units / 5 parts = 2
point B is 2 units * 2 from point A, so x = -2
y coord. from -5 to 0 is 5 units / 5 parts = 1
point B is 2 units * 1 from point A, so y = -3
Let the x represent the unknown number.
"2 times a number" is 2x
"The sum of 2 times a number and 11" is 2x + 11
"The sum of 2 times a number and 11 is -7" is 2x + 11 = -7
Now we solve the equation for x to find the unknown number.
2x + 11 = -7
Subtract 11 from both sides.
2x = -18
Divide both sides by 2.
x = -9
Answer: The number is -9.
Check: 2 times -9 = -18
-18 + 11 = -7
The answer is correct.
speed = distance/time
speed = 8/24 = 1/3 km per minute
