Answer:
The final 2 minutes of the basketball game
Step-by-step explanation:
I think
Answer:
60 km/h
Step-by-step explanation:
Let us use the x to represent the speed of the car since it is the smaller value.
Then, the distance covered by the car is 4x since was going 4 kph.
The distance covered by the train is (x+5) times 7 or 7x+35.
We know that the total distance covered is 640 km.
Using this information, we can set up the equation 4x+7x+35=640.
By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.
After this, we divide both sides by 11 and get x=55.
Lastly, we add 5 to 55 since the train is 5 km faster than the car and that x stood for the car.
Train=60 km/h
Answer:
should get 0.2 hope this helps you!
Step-by-step explanation:
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Answer:
![x=30^{\circ}](https://tex.z-dn.net/?f=x%3D30%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Looking at
:
(angle sum of triangle is
)
![=45^{\circ}](https://tex.z-dn.net/?f=%3D45%5E%7B%5Ccirc%7D)
Looking at
:
(angle of straight is
)
![=75^{\circ}](https://tex.z-dn.net/?f=%3D75%5E%7B%5Ccirc%7D)
(angle sum of triangle is
)
![75+2x+45 = 180](https://tex.z-dn.net/?f=75%2B2x%2B45%20%3D%20180)
![2x+120 = 180](https://tex.z-dn.net/?f=2x%2B120%20%3D%20180)
![2x=60](https://tex.z-dn.net/?f=2x%3D60)
![x=30^{\circ}](https://tex.z-dn.net/?f=x%3D30%5E%7B%5Ccirc%7D)
Hope this helps :)