Answer:
No, it is not
Step-by-step explanation:
Here, we want to check if the lenghts given is that of a right angle triangle
For a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides
The hypotenuse represents the longest side
So 27^2 = 14^2 + 23^2
The difference between these is 4, and as such the triangle is not a right angled
<u>Answer</u>:
Therefore has one solution.
<u>explanation</u>:
Given equations:
6x + y = -7
-24x -7y = 25
Make y the subject:
6x + y = -7
y = -7 - 6x ..............equation 1
-24x -7y = 25
-7y = 25 + 24x
y = (25 + 24x)/-7 ..........equation 2
Solve them simultaneously:
(25 + 24x)/-7 = -7 - 6x
25 + 24x = -7 (-7 - 6x)
25 + 24x = 49 + 42x
42x - 24x = 25- 42
18x = -24
x = ![-\frac{4}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B3%7D)
Then y is:
y = -7 - 6x
y = -7 - 6(
)
y = 1
Has one separate value of x and y: (
, 1 ); so it has one solution.
Answer:
The answer is B
Step-by-step explanation:
Answer:
<em>The man paid $200 for the cow</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = price of the cow
y = price of the horse
The man bought the cow and the horse for $500, thus
x + y = 500 [1]
The cow was sold at a profit of 10%, thus:
Sale price of the cow= 1.1x
The horse was sold at a loss of 10%, thus:
Sale price of the horse= 0.9y
The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:
1.1x + 0.9y = 490 [2]
From [1]:
y = 500 - x
Substituting in [2]:
1.1x + 0.9(500 - x) = 490
Operating:
1.1x + 450 - 0.9x = 490
0.2x = 490 - 450 = 40
x = 40/0.2
x = 200
The man paid $200 for the cow
Each sundae was 4 dollars. It was 3 of her friends and herself which make 4 people.