Answer: its 432cm=m cubed
Step-by-step explanation:
im not telling you
Answer:
4.4 < 2.5 +x
She needs to crochet at least 1.9 more ft
Step-by-step explanation:
She wants the scarf to be at least 4.4 ft long
4.4< scarf
The scarf is 2.5 ft long now
She will crochet x more ft
4.4 < 2.5 +x
Subtract 2.5 from each side
4.4 -2.5 < 2.5+x-2.5
1.9 <x
She needs to crochet at least 1.9 more ft
Answer: Any fraction with a positive numerator and a negative denominator
Step-by-step explanation:
A counterexample in math refers to when a condition is satisfied but the result is not the conclusion that the statement said it would lead to.
In this instance, the statement is that if the numerator of the fraction is larger than the denominator, the result will be greater than 1.
If the numerator is positive and the denominator is negative then the numerator is larger than the denominator because all positive numbers are larger than negative numbers on the number line. However, the result will always be less than 1.
For instance, take the following fractions;
![\frac{5}{-2} = -2.5\\\\\frac{20}{-5} = -4\\\\\frac{50}{-10} = -5](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B-2%7D%20%20%3D%20-2.5%5C%5C%5C%5C%5Cfrac%7B20%7D%7B-5%7D%20%3D%20-4%5C%5C%5C%5C%5Cfrac%7B50%7D%7B-10%7D%20%3D%20-5)
In each case the numerator was larger than the denominator but the result was always less than 1.
Answer:
First option.
Third option.
Fifth option.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
The equation of the line in Point-slope form is:
![y - y_1 = m(x-x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x-x_1%29)
Where "m" is the slope and
is a point on the line.
By definition, the slopes of perpendicular line are negative reciprocals.
Then, given the line:
![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
We know that a line perpendicular to it, must have this slope:
![m=-3](https://tex.z-dn.net/?f=m%3D-3)
Let's check each option:
1) ![y + 2 = -3(x -4)](https://tex.z-dn.net/?f=y%20%2B%202%20%3D%20-3%28x%20-4%29)
Since
, this line is perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
2) ![y - 5 = 3(x + 11)](https://tex.z-dn.net/?f=y%20-%205%20%3D%203%28x%20%2B%2011%29)
Since
, this line is not perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
3) ![y = -3x-\frac{5}{3}](https://tex.z-dn.net/?f=y%20%3D%20-3x-%5Cfrac%7B5%7D%7B3%7D)
Since
, this line is perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
4) ![\frac{1}{3}x - 2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%20-%202)
Since
, this line is not perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
5) ![3x + y = 7](https://tex.z-dn.net/?f=3x%20%2B%20y%20%3D%207)
Solving for "y":
Since
, this line is perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)