Answer:
Catalina skates a total of 120 feet
Step-by-step explanation:
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance.
30 + 40 + 50 = 120 feet
The factors of 3x^2+10x+3 are (3x+1)(x+3)
X=1
x=2
x=3
2(1)-y=4
2-y=4
-2 both sides
-y=2
÷-1 both sides
y=-2
(1,-2)
2(2)-y=4
4-y=4
-4 both sides
-y=0
y=0
(2,0)
2(3)-y=4
6-y=4
-6 both sides
-y=-2
÷-1 both sides
y=2
(3,2)
Answer: The flag that is below the horizontal axis, is the sownward translation of the flag that is over the same axis.
Explanation:
Note that a translation transformation only moves the flag some units but does not change the direction. A rotation would have changed where the flag points (for example to the left instead of to the right).
4x+2y=10 Equation 1
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
6y+52=10
6y=-42
y=-7
Now substitute value of y in x=y+13
x=-7+13
x=6
Answer: (6,-7)
