149.6 million kilometers is the distance.
Answer: 2600 if I'm wrong can u please use proper grammar cuz i kinda wanna try to solve it unless I'm right
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:

Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

Substitute:

Solve for <em>k</em>. Simplify:

Solve:

Thus, our answer is indeed A.
Answer:
Step-by-step explanation:
y = 3x - 5
y = 1/3x + 3
3x - 5 = 1/3x + 3....multiply everything by 3 to get rid of the fraction
9x - 15 = x + 9
9x - x = 9 + 15
8x = 24
x = 24/8
x = 3
y = 3x - 5
y = 3(3) - 5
y = 9 - 5
y = 4
solution is : x = 3 and y = 4...or (3,4) <==
Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!