A. f(1)=5 (as defined on the second line, x=1) TRUE because f(1)=5
B. f(5)=5^2=25 (as defined on third line, x>1) FALSE because f(5) ≠ 1
C. f(-2)=2(-2)=-4 (as defined on first line, x<1) FALSE because f(-2) ≠ 4
D. f(2)=2^2=4 (as defined on third line, x>1) TRUE because f(2)=4
The unknown vertex is on the perpendicular bisector of the opposite side. So the x coordinate is the same as that of the midpoint, x=(18+52)/2=35.
Answer:
x=-6
y=-11
Step-by-step explanation:
x-y=-5
7x+3y=-75
x=5+y plug that in to the second equation
7(5+y)+3y=-75
35+7y+3y=-75
10y=-75-35
10y=-110
y=-11
plug y into first equation
x+11=5
x=5-11
x=-6
The right triangle has legs of x and 2.5 where x is the height up the wall that the ladder will reach. The length of the ladder is the hypotenuse of the right triangle.
According to the Pythagorean Theorem, x^2 + 2.5^2 = 12^2
x = 11.736 approx To the nearest tenth that is 11.7.
Answer:
slope: 5
y-intercept: 3
therefore y=5x+3
Step-by-step explanation:
the slope is the value that is changing; as time passes the price increases by $5 per hour
the y-intercept is where the function crosses the y-axis (when x is 0); so when no time has passed.
