Answer:
AB = 3.16 units
Step-by-step explanation:
Given:
A(3, -1) and B(6, 0)
To Find:
AB = ?
Solution:
AB = root{(x2 - x1)^2 + (y2 - y1)^2}
AB = root{(6 - 3)^2 + (0 - (-1))^2}
AB = root{(3)^2 + (0 + 1)^2}
AB = root{9 + (1)^2}
AB = root{9 + 1}
AB = root 10
Therefore, AB = 3.16 units
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Volume of the cube is 1000 cm³
Step-by-step explanation:
- Step 1: Find the volume of the cube.
Side of the cube = 10 cm
⇒ Volume of the cube =(side)³ = 10³ = 1000 cm³
Answer:
a) - 7 dollars
b) 24.30 dollars
c) - 5 dollars
Step-by-step explanation:
b) 27 / 10%
Divide 27 by 10/100 by multiplying 27 by the reciprocal of 10/100.
27 x 100/10
Multiply 27 and 100 to get 2700.
2700/10
Divide 2700 by 10 to get 270.
270
Divide 270 by 100 to get 2.7
Subtract 27.00 - 2.7 = 24.30
24.30
Answer:
x=2
Step-by-step explanation:
In order to solve this problem, you need to find the scale factor. This is done through cross multiplying proportions. In this instance, you have to cross multiply x/4 by 3.5/7. When you multiply x and 7, you get 7x. When you multiply 3.5 and 4, you get 14. Simplify by isolating the variable, and you get 2.
Answer:
The 4th graph
Step-by-step explanation:
To determine which graph corresponds to the f(x) = \sqrt{x} we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.
f(1) = \sqrt{1} = 1\\f(2) = \sqrt{2} \approx 1.41\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3
So, we can see that the pairs (1, 1), (2, 1.41), (4, 2), (3, 9) correspond to the fourth graph.
Do not be confused with the third graph - you can see that on the third graph there are also negative y values, which cannot be the case with the f(x) =\sqrt{x}, the range of that function is [0, \infty>, so there are only positive y values for f(x) = \sqrt{x}
