Answer:
y = 2x−2
Step-by-step explanation:
You are given a slope and a point, so you can write the equation using point-slope form:
y -k = m(x -h) . . . . . . a line with slope m through point (h, k)
Putting in the numbers given, you have ...
y -6 = 2(x -4)
y = 2x -8 +6 . . . . eliminate parentheses, add 6
y = 2x -2 . . . . . . . collect terms.
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You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.
- 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
- 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
- 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
Answer: The length is 12 feet and the width is 4 feet.
Step-by-step explanation:
Let L represent the length of the bedroom closet.
Let W represent the width of the bedroom closet..
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the bedroom closet is 32 ft. This means that
2(L + W) = 32
Dividing through by 2, it becomes
L + W = 32/2
L + W = 16
The area of the bedroom closet is 48 ft². This means that
LW = 48 - - - - - - - -- - - - - - 1
Substituting L = 16 - W into equation 1, it becomes
W(16 - W) = 48
16W - W² = 48
W² - 16W + 48 = 0
W² - 12W - 4W + 48 = 0
W(W - 12) - 4(W - 12) = 0
W - 12 = 0 or W - 4 = 0
W = 12 or W = 4
L = 16 - 4 = 12
They are called relation symbols
they tell how something relates to something else
greater than tells ou that the the result must be more than, but not eqal to that numberd so example, we have to have something that flys higher than that bridge (100ft) but it cannot fly 100 or else it will crash
less than tells you that you must be less than, but not euqal to. example
this thing must be less than 7 feet tall to fit under the doorway, it cannot be 7 feet or else it wont fit
equal to is an exact amount, nothing more or less
we have to have a screw that is this big, nothing more or less
less and greater than is nice since if you found a solution and you wanted to notate it, example
if the naswer is any number less than 10, it would be nicer to write x<10 instead of listing all numbers less than 10 since they could get very close example 9.999999999 forever
greater is the same, any number bigger than 30, you woul dhave to include 30.0000000001 and smaller which is hard, but with the x>30, it is easier
the equals just shows equality, this is equal to this, period
Answer:
The answer is 1 & 7/8 or the middle option
