Answer:
m∠PQR = 133
Step-by-step explanation:
∠PQR and ∠RQS are supplementary angles, meaning they have a sum of 180°.
3x - 5 + x + 1 = 180
4x - 4 = 180
4x = 184
x = 46
Now we simply substitute 46 in for x:
3(46) - 5 = 133
Answer:
-24a² - 42a - 28
Simplified form = 12a² + 21a + 14
Step-by-step explanation:
-4(7 + 3a) - 6a(4a - 5) (distribute -4)
-28 - 12a -6a(4a - 5) (distribute -6a)
-28 - 12a -24a² - 30a (collect like terms)
-24a² - 42a - 28
We can simplify
-24a² - 42a - 28 (divide -2)
12a² + 21a + 14
Hope this helps ya! Keep smiling!
Answer:
We conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
Step-by-step explanation:
Given the equation
49x² - 28x + 4 = 0
comparing with the quadratic equation ax² + bx + c = 0 for x, where a ≠ 0,
here
a = 49, b = -28, c = 4
Determining the discriminant b²-4ac
b²-4ac = (-28)² - 4(49)(4)
= 784 - 784
= 0
It is clear that the discriminant b²-4ac is equal to zero.
i.e.
b²-4ac = 0
We know that if the discriminant b²-4ac = 0, then the quadratic equation has one real root.
Therefore, we conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
First, transpose the constants to the right side just like an ordinary equation, but leave the inequality sign as it is. That becomes
x - 72 > -96
x > -96 + 72
x > -24
Thus, just check among the choices which are greater than -24. The answers would be D and E.
