Answer:
$57.60
Step-by-step explanation:
Marcus lays a slab of concrete in 3 hours. Tony lays the same size slab in 2 hours. The number of hours used by both men will be:
1/3x + 1/2x = 1
2x + 3x = 6
5x = 6
x = 6/5 = 1.2 hours.
The cost of labor will be:
= 1.2 hours × $48
= $57.60
Answer:
Straight edge, and compass.
Step-by-step explanation:
Greeks used very simple tools for geometric construction. They did not used advanced tools that we are using today.
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Answer:
11 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = (- 6, 8) and (x₂, y₂ ) = (- 6, - 3)
d = ![\sqrt{-6+6)^2+(-3-8)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B-6%2B6%29%5E2%2B%28-3-8%29%5E2%7D)
= ![\sqrt{0^2+(-11)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B0%5E2%2B%28-11%29%5E2%7D)
= ![\sqrt{0+121}](https://tex.z-dn.net/?f=%5Csqrt%7B0%2B121%7D)
=
= 11
![(-\infty,-2) \cup(2,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%29%20%5Ccup%282%2C%5Cinfty%29)
<h2>
Explanation:</h2>
Remember you need to write complete questions in order to find exact answers. In this way you haven't provided any function, so I'll choose a quadratic function given by:
![f(x)=x^2-4x](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-4x)
So we need to find the entire interval at which this function positive. Put another way:
![f(x)>0](https://tex.z-dn.net/?f=f%28x%29%3E0)
By using graphing tool, we get the graph shown below. As you can see:
- The function decreases from
![x=-\infty \ to \ x=0](https://tex.z-dn.net/?f=x%3D-%5Cinfty%20%5C%20to%20%5C%20x%3D0)
- The function increases from
![x=0 \ to \ x=\infty](https://tex.z-dn.net/?f=x%3D0%20%5C%20to%20%5C%20x%3D%5Cinfty)
- The graph of the function is a parabola that opens up.
But what is really importan in this problem is that:
- The function is positive over the interval
![(-\infty,-2) \cup(2,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%29%20%5Ccup%282%2C%5Cinfty%29)
At this interval the function is positive, that is, ![f(x)>0](https://tex.z-dn.net/?f=f%28x%29%3E0)
<h2>Learn more:</h2>
Standard equation of the graph of a parabola:
brainly.com/question/12896871
#LearnWithBrainly
The answer is 9 I believe