Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
Answer:
Step-by-step explanation:
Distance = speed * time
- d = 12 *1 1/2 = 12*1.5 = 18
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
Square root are the same 2 numbers multiplied.
Ex: 8*8=64 (Square root is 8)
9*9=81 (Square root is 9)
2.2360679775*2.2360679775=5
Answer=2.2360679775
Answer:
y=3x+5
Step-by-step explanation:
This is th eanswer because slope intercept form is always y=mx+b.
So, if you simplify the right side of the equation, you then get
y-6=3x-1, I got that because 3 multiplied by -1/3, you get -1.
Then you add 6 to both sides to isolate y by itself. So, now you have
y=3x+5.
Hope this is helpful
