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Maru [420]
3 years ago
5

Two numbers total -6, and their difference is 12. Find the two numbers.

Mathematics
1 answer:
koban [17]3 years ago
7 0
-9 and 3!

if we do -9 + 3, the total will be -6

if we use a number line to go from +3 all the way down to -9, we’ll find the difference to be 12 :)
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Please help! "Indicate the equation of the given line in standard form. The line containing the midpoints of the legs of right t
julsineya [31]

Nice. We're not really told which is the right angle. We can tell from the squared distances:


AB^2=(1 - -5)^2 + (1-5)^2=6^2+4^2=52


BC^2=(3-1)^2+(4-1)^2=2^2+3^2=13


AC^2=(3- -5)^2+(4 -5)^2=8^2+1^2=65


We see AC^2=AB^2+BC^2 so B is the right angle.


That was preliminary and probably indicated in an associated figure.


Now we want the line through the midpoint of the legs, AB and BC, in standard form.


The midpoint of AB is the average of the coordinates of A and B:


\left( \dfrac{-5 +1}{2}, \dfrac{5+1}{2} \right) = (-2,3)


The midpoint of BC is


\left( \dfrac{1 + 3}{2}, \dfrac{1 + 4}{2} \right) = ( 2, \frac 5 2)


The line through those points is


(y - 3)(2 - -2)=(x - -2)(\frac 5 2 - 3)


4y - 12 =  (x+2)(- \frac 1 2)


8y - 24 = -x -2


x + 8y = 22


That's the answer. Let's check it.


Midpoint of AB is (-2,3), -2 + 8(3)=22 good.


Midpoint of BC is (2,5/2), 2+8(5/2)=22 good.


\textrm{Answer: } x + 8y = 22


4 0
4 years ago
Help on number 1 is needed!!
tamaranim1 [39]

Answer:

Substitute the values given for f(x) and g(x), in 1. they say f(x)=4x and g(x)=1-x

and basically just substitute them for the functions themselves.

4x+1-x

add like terms!

4x-x = 3x!

3x+1 is your simplified answer, since it is an expression it cannot be simplified any further.

7 0
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vodomira [7]

Answer:

supplement of an angle is what must be added to that angle to get 180

51+supplement=180

minus 51 both sides

supplement=129

answer is 129

7 0
3 years ago
Dario increased his savings from $350 to $413 . What is darios percent increase in savings ?
drek231 [11]

Answer:

18%

Step-by-step explanation:

413-350=63%

63%/350=18%

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3 years ago
Draw two rectangles that each have a perimeter of 8 units and different areas​
Tanzania [10]

Answer:

Draw dem rectangles! >:3 I believe youuuu!

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