X² + 2x = 24
Organizing:
x² + 2x - 24 = 0
<<<< (<em>Quadratic </em><span><span><em>equation</em>)
</span>
</span><span>Delta:
</span>Δ = b²<span> - 4.a.c </span>
Δ = 2²<span> - 4 * 1 * -24 </span>
<span>Δ = 4 - 4 * 1 * -24 </span>
Δ = 100
<span>Bhaskara:
</span><span>x = (-b +- √Δ)/2*a
</span>
x' = (-2 + √100)/2*1
x' = 8 / 2
x' = 4
x'' = (-2 - √100)/2*1
x'' = -12 / 2
x'' = -6
Result: x = 4 or<span> x = - 6 .
</span>
Good studies! :)
Answer:
2.08
Step-by-step explanation:
10/x = 24/5
50 = 24 x
x = 50 / 24
x = 2.08 m
This answer is rounded to the nearest hundredth.
Answer:
divide 15 from A
Step-by-step explanation:
The smaller angle = 66°
let x be the angle then (180 - x) + 9 represents 9 more than half of it's supplement
equating the 2 expressions gives
x = (180 - x ) + 9 → (distribute and simplify right side )
x = 90 - x + 9 = 99 - x
add x to both sides
x = 99
multiply both sides by 2 and divide by 3 gives
x = 66
the supplement of 66° is 180° - 66° = 114°
Thus the smaller angle is 66°
<span>A system has two linear equations in two variables. The graphs of the equations have the same slope but different y-intercepts. How many solutions does the system have?
</span><span>
A. 0</span>
They have no solutions because these two lines are parallel. They have the same slope. However, two parallel lines have no solutions because they never intersect.
Hope this helps.