Answer:
x = -1/3 and x = 3
Step-by-step explanation:
I'm not sure, but I think you mean 3x^2 - 8x - 3 = 0
In that case:
1. Add 3 on both sides
3x^2 - 8x -3 + 3 = 3 -> 3x^2 - 8x = 3
2. Divide both sides by 3
x^2 - 8/3x = 1
3. Add ((8/3)/2)^2 to both sides
x^2 - 8/3x + ((8/3)/2)^2 = 1 + ((8/3)/2)^2
4. Simplify
x^2 - 8/3x + (4/3)^2 = 1 + (4/3)^2
x^2 - 8/3x + 16/9 = 1 + 16/9
5. Rewrite x^2 - 8/3x + 16/9 = 1 + 16/9 as a perfect square
and simplify 1 + 16/9
(x - 4/3)^2 = 25/9
6. Find the square root of both sides
7. Simplify
(x - 4/3) = ±5/3
8. Rewrite the equation as two seperate equations
(x - 4/3) = ±5/3 ->
a. (x - 4/3) = 5/3
b. (x - 4/3) = -5/3
9. Solve for x by isolating the variable (add 4/3 to both sides)
a. x = 5/3 + 4/3
b. x = - 5/3 + 4/3
10. Simplify
a. x = 9/3 -> x = 3
b. x = -1/3
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
I believe it would be negative three (-4) since the lines are thinner however; there is a chance they are skip counting by 2. In that case the answer would be negative six (-6).
Answer:
1.4 hour, or 1 hr 24 min
Step-by-step explanation:
The trains separate at the rate (80 + 90) mph.
Recall that distance = rate times time, or time = distance / rate.
238 mi
Here, the elapsed time is -------------- = 1.4 hr, or 1 hr 24 min
170 mph
Answer:
(- 2, 4 )
Step-by-step explanation:
y = 2x + 8 → (1)
y = - 2x → (2)
substitute y = 2x + 8 into (2)
2x + 8 = - 2x ( add 2x to both sides )
4x + 8 = 0 ( subtract 8 from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
substitute x = - 2 into (2)
y = - 2(- 2) = 4
solution is (- 2, 4 )
