Answer:
Sachet town is 12km from the airport
Step-by-step explanation:
In this question, we are asked to calculate the distance from sachet town to the airport.
This can be calculated by referring to a diagrammatic representation. Please check attached file.
Let’s proceed with the calculations however.
From the question, we can see that we have formed a Right angled triangle from the diagram and we need to calculate the distance x.
Mathematically;
x^2 + 16^2 = 20^2
x^2 = 20^2 - 16^2
x^2 = 400 - 256
x^2 = 144
x = sq.rt of 144
x = 12km
Answers:
- first box = 1
- second box = 1
- third box = 3
- fourth box = 3
Refer to the graph below.
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Explanation:
If f(x) is an even function, then f(-x) = f(x) for all x in the domain.
What this means is that we have symmetry about the y axis. We can reflect that given curve over the y axis to generate the missing left side.
The graph shows that (1,1) is on the orange curve. It reflects over to (-1,1). This means 1 goes in the first box.
Use the rule 
to apply a y axis reflection. We simply just change the sign of the x coordinate from positive to negative, while keeping the y coordinate the same.
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We can also see that (3,1) is also on the orange curve. It reflects over to (-3, 1) using that rule mentioned earlier.
1 goes in the second box
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The graph your teacher gave you shows that if we plugged in x = 5, then we get y = 3. In other words, the point (5,3) is on the orange graph.
It reflects over to (-5, 3) to show that x = -5 leads to the output y = 3
3 goes in the third box
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Lastly, the point (6,3) reflects to (-6,3) when reflecting over the y axis.
3 goes in the fourth box.
See the graph below.
Answer:
2
Step-by-step explanation:
a₃ = -2
a₇ = -10
The nth term of an arithmetic sequence is:
a = a₁ + d (n − 1)
Therefore:
-2 = a₁ + d (3 − 1) = a₁ + 2d
-10 = a₁ + d (7 − 1) = a₁ + 6d
Subtract the equations:
8 = -4d
d = -2
Plug into either equation to find the first term.
-2 = a₁ + 2(-2)
a₁ = 2
Answer:
a. 76 b. 52
Step-by-step explanation:
The perimeter of a rectangle is the sum of its four sides.
Now all rectangles have a width and a length.
To find the perimeter it is 2 width + 2 length or 2W +2L.
So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L
Then...
2(76) + 2L = 344 multiply 2 and 76
2L + 152 = 344 subtract 152 from both sides
2L = 192 divide both sides by 2
L = 96
The length is 96.
The equation of an area of a rectangle is A or area = width x length or W x L
So the equation is A = W x L
If the area is 4732 and the length is 91 then
91W = 4732 divide both sides by 91
W = 52
The width is 52.
Hope that helps, good luck with your homework!
<span>The correct answer is that Inez will both water and trim her plants within the same day in 30 days, because the lowest common multiple of 2 and 15 is 30.</span>
