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lbvjy [14]
3 years ago
9

18=\frac{1}{4} n-4" alt="\frac{3}{4}n-18=\frac{1}{4} n-4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

The value of n is n=28

Explanation:

The expression is \frac{3}{4} n-18=\frac{1}{4} n-4

Subtracting both sides by \frac{1}{4} n, we get,

\frac{3}{4}n-\frac{1}{4}n-18=-4

Adding both sides by 18, we get,

\frac{3}{4}n-\frac{1}{4}n=-4+18

Simplifying the terms, we have,

\frac{2}{4}n=14

Dividing, we get,

\frac{1}{2} n=14

Multiplying by 2, we have,

n=28

Thus, the value of n is n=28

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Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?
algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.


Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.


Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.


So, the coordinates of the endpoint are T = (5,-13)


If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.


We have G = (-3, 5) and T = (x_T,y_T). The midpoint is computed as


A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)


So, you have the equations


\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4


Multply both equations by 2 to get


-3+x_T = 2,\qquad 5+y_T = -8


Move the constants to the right hand sides to get


x_T = 5,\qquad y_T = -13

8 0
3 years ago
ANSWER THISSSSSSSSSS
lakkis [162]

Answer:

it depends on how its being answered so i'm going to answer its by what i think it is (20)

Step-by-step explanation:

technically is every piece of clothing in one outfit like one different sock to the same parts of an outfit is the same thing right?

i answered this the best i could im sorry if it wrong

8 0
3 years ago
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