The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98)
98/100 x 9 = 882/100 or 8.82
Justin's house is 8.82 miles from the museum.
Answer:
4x^2+17x+15
Step-by-step explanation:
(4x-3)(x+5)
= 4x(x+5) -3(x+5)
= 4x^2+ 20x -3x + 15
= 4x^2 + 17x + 15
Find the minimum point on the parabola, and take the x component of the coordinate. Then, put that number into this equation: x = (whatever the number was) so in this case the axis (or line) of symmetry is x = 1
Answer:
y=-1x+8
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
The vector equation of the line through the origin perpendicular to the plane is
.. (x, y, z) = t(2, 3, -1)
so the point of interest will satisfy
.. 2(2t) +3(3t) -(-t) = -3
.. 14t = -3
.. t = -3/14
and its coordinates are (x, y, z) = (-3/7, -9/14, 3/14)