Answer:
$1875
Step-by-step explanation:
Given the information:
- An apartment costs: $625 per month
- They require that the cost of rent be no greater that a third of his monthly income
- The must earn at least 3 times the cost of his rent
=> the smallest amount of money that Carlos needs to make per month to be approved to move in:
= 3 times of $625
= 3*$625
= $1875
because 625 is exactly 1/3 of $1875
Hope it will find you well.
W = L - 7
WL = 78
(L-7)L = 78
L^2 - 7L - 78 = 0
Factorize: (L-13)(L+6) = 0
L = 13 or -6
A length cannot be negative, so the length must be 13 miles.
The width is 13-7 = 6 miles.
Considering the slopes of the segments, the correct option is:
D. No, because the triangle ABC doesn't have a pair of perpendicular sides.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:
- mAB = (-7 - 9)/(11 - 1) = -8/5.
- mAC = (3 - 9)/(-9 - 1) = 3/5.
- mBC = (3 - (-7))/(-9 - 11) = -1/2.
No sides are perpendicular, hence option D is correct.
More can be learned about slopes at brainly.com/question/20847660
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The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
<h3>Properties of the function</h3>
The following are the properties of the sin trigonometric ratio of the function;
- The sine graph rises till +1 and then falls back till -1 from where it rises again.
- The function y = sin x is an odd function
- The domain of y = sin x is the set of all real numbers
- The range of sine function is the closed interval [-1, 1]
- The amplitude of the function is half its range value
- One cycle of the function is 6. 28
From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.
Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
Learn more about the sine function here:
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Answer:
69a+6
Step-by-step explanation:
Distribute the 6 over the (10a+1) then you get 60a+6. Add the 9a to the 60 giving u 69a then you have the 6 left over making the answer 69a+6