Answer:
See below ~
Step-by-step explanation:
- 5/4 = 1/25 ⇒ Rational
- √100 = 10 ⇒ Rational
- 7.3 ⇒ Rational
- 0.00247 ⇒ Rational
- √4/9 = 2/3 = 0.66666... ⇒ Rational
- √2/24 = 1/2√1/6 ⇒ Irrational
- 0.01.... ⇒ Rational
Answer: 4m + 3
Step-by-step explanation:
4m references the 4 bags of marbles and the m marbles in each bag. + 3 references the extra 3 marbles.
Answer:
x=2
Step-by-step explanation:
Hi there!
Whenever we're solving an algebraic equation, our goal is always to isolate the variable, which in this case is x. We would do this by performing inverse operations on both sides of the equal sign to cancel values out.
Combine like terms on both sides of the equal sign
Add 2x to both sides to cancel out -2x (addition is the inverse of subtraction)
Add 9 to both sides to cancel out -9 and isolate 11x (addition is the inverse of subtraction)
Divide both sides by 11 to isolate x (division is the inverse of multiplication)
Therefore, x=2.
I hope this helps!
Answer:
(a) 7.1
(b) (5/2, 3/2)
(c) 2
(d) y = -x +4
Step-by-step explanation:
<h3>(a)</h3>
The length of AC is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((5 -(-2))² +(-1 -0)²) = √(49 +1) = 5√2 ≈ 7.1
The length of AC is about 7.1.
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<h3>(b)</h3>
The midpoint has coordinates that are the average of the end point coordinates.
midpoint BC = (B + C)/2 = ((0, 4) +(5, -1))/2 = (5, 3)/2
midpoint BC = (5/2, 3/2)
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<h3>(c)</h3>
The slope is found using the slope formula.
m = (y2 -y1)/(x2 -x1)
For points A(-2, 0) and B(0, 4), the slope of the segment between them is ...
m = (4 -0)/(0 -(-2)) = 4/2 = 2
The slope of AB is 2.
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<h3>(d)</h3>
The slope of line BC is found in the same was as for AB.
m = (-1 -4)/(5 -0) = -5/5 = -1
The y-intercept of the line is point B, at y=4. So, the equation of line BC is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
y = -x +4
this answer is 9% it is bigger than 0.5
