Answer:
Yes
Step-by-step explanation:
they were just dilated differently
Answer:
-4
Step-by-step explanation:
In order to get from point -1, 8, to point 2, -4, you would have to go down 12 and right 3, which would be 12/-3, which would simplify to -4
Answer:
(x - 10)(x + 10)
Step-by-step explanation:
x² - 100 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Hence
x² - 100
= x² - 10² = (x - 10)(x + 10)
Answer:
(-5, -8)
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
x^2 + 10x = - 17
x^2+10x+17=0
x^2+2*5x+25 - 8=0
(x+5)^2-8=0
h=-5, k= -8
vertex is (-5, -8)
Answer:
2.02 m
or 2 m 2 cm
Step-by-step explanation:
Imagine a triangle containing the 40° angle and that this angle is at the left. Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle. We need to find the length of this ramp, that is, the length of the hypotenuse.
The sine function relates this 40° angle and the 1.3 m height of the truck bed:
sin 40° = opp / hyp = 1.3 m / hyp
which can be solved for 'hyp' as follows:
1.3 m
hyp = ----------------- = (1.3 m) / 0.6428)
sin 40°
1.3 m
Thus, the length of the ramp must be less than -------------- or 2.02 m
0.6428
where this last result is to the nearest cm.
If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.
