Given Equations
- 5x+3y=8--(1)
- 4x+7y=34--(2)
Let it has solution (x,y)
Add both
It will also have same solution (x,y)
Answer:
she brought 21 shirts and 2 pants
Step-by-step explanation:
shirts
21× 14.50 = $ 304.5
357- 304.5 = $ 52.5
pants
52.5÷ 25 = 2.1
An obtuse angle would be an angle more then 90 degrees.
So if you add two angles together, it could be less then 90 degrees, such as 30 + 50 = 80 degrees.
However, it can also be more then 90 degrees, or an obtuse angle, for example 60 + 50 = 110 degrees.
So it's sometimes.
Answer:
Answers:
Rate of change = -5
Initial value = 25
Step-by-step explanation:
Each time x increases by 2 (eg from x = 1 to x = 3), the value of y drops by 10 (eg from y = 20 to y = 10)
Therefore the slope is...
slope = rise/run = (change in y)/(change in x) = -10/2 = -5
slope = -5
So each time x increases by 1, y will decrease by 5
Flip things around: each time x decreases by 1, y will increase by 5
So the pair (x,y) = (1,20) shown in row 1 of the table leads to (0,25) based on the rule above. Another way to see this is to plug m = -5, x = 1 and y = 20 into y = mx+b and solve for b to get b = 25
Answer:
Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
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Method #2
Or, we can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
[2, 7] [3, −3]
![\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3%20%2B%202%5D%5E%7B2%7D%20%2B%20%5B3%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{[-1]^{2} + 10^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-1%5D%5E%7B2%7D%20%2B%2010%5E%7B2%7D%7D%20%3D%20D)
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
