Answer:
length: 13 cm
width: 5 cm
Step-by-step explanation:
You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:
5 cm wide; 13 cm long
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If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...
A = LW
65 = (2w+3)(w)
In standard form, this equation is ...
2w^2 +3w -65 = 0
To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...
-130 = (-10)(13)
Then the factored equation is ...
2w^2 +13w -10w -65 = 0
w(2w+13) -5(2w+13) = 0
(w -5)(2w +13) = 0 ⇒ w = 5, -13/2
The positive solution makes sense in this problem, so ...
width = 5 cm
length = 2(5) +3 = 13 cm
16.2 + -8.4 = 7.8 is your Answer
Answer:
European explorers, like Christopher Columbus, were the first to cross the great oceans of the world.
To calculate the range of the given function we first need to calculate for the inverse of the function;
y=sqrt(x)-5
this can be written as:
y+5=sqrt(x)
From the above equation we can conclude that we can get the squaring of all values of x such that:
x≥-5
otherwise we won't get any square root since the square roots of negative numbers will complex numbers;
thus we conclude that the range of the function is {y∈R: y≥-5}
since -4 is included in this set, then our answer is option [A]
9. To draw the rise, you can follow these steps:
- Identify a point on the line. In this case, this can be:
- Draw a vertical line that rises from that point. See the picture below:
10. To draw the line that represents the run, you need to Draw a horizontal line that goes from the endpoint of the line that represents the rise and extend it until it touches the function. See the picture below:
Therefore, the answers are (See the picture):
