The statements that are true are
- The sum of A and C is negative
- A + D = B
- The quotient of D and B is -10/3
- The product of A and B > the product of A and C
<h3>Number line</h3>
From the question, we are to determine the statements that are true
In the given number line,
A = -2 1/6
B = - 1/2
C = 1/3
D = 1 2/3
B - C = -1/2 - 1/3
B - C = -5/6
∴ B - C ≠ 1/6
- The sum of A and C is negative
A + C = -2 1/6 + 1/3
A + C = -1 5/6
∴ The sum of A and C is negative
A + D = -2 1/6 + 1 2/3
A + D = -1/2
B = -1/2
∴ A + D = B
1 2/3 ÷ - 1/2 = -10/3
∴ The quotient of D and B is -10/3
A×B = -2 1/6 × -1/2
A×B = 13/12
Product of A and C
A×C = -2 1/6 × 1/3
A×C = -13/18
∴ The product of A and B > the product of A and C
|B| = 1/2
|C| = 1/3
|B| > |C|
|B| is NOT less than |C|
Hence, the statements that are true are
- The sum of A and C is negative
- A + D = B
- The quotient of D and B is -10/3
- The product of A and B > the product of A and C
Learn more on Number line here: brainly.com/question/1545224
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Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
Answer:
It will take the object 2 seconds to reach the maximum height.
Step-by-step explanation:
The original equation is .
The object reaches the maximum height when derivative of is zero
So let us take evaluate the derivative of
this must be equal to 0:
It will take the object 2 seconds to reach the maximum height.
Answer:
B
Step-by-step explanation:
quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)] / 2a
1. find a, b, and c
a = 1
b = -3
c = 1
2. plug values into formula
x = [3 ± sqrt(9-4•1•1)] / 2
3. simplify
x = [3 ± sqrt(5)] / 2
This is B.
Answer:44 degrees
Step-by-step explanation:
hello, this triangle is acute so this means all angles have the same degrees. so x=44 degrees. I hope this helps!