I'm willing to help you with both parts
Answer:
(2,7) is not a solution to the given system of equations.
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
Answer:
JM = 20
Step-by-step explanation:
Find the value of JM
Using similar triangles;
MJ/HN = GJ/HK
GJ+JM/HN = GJ/HK
15+JM/12+16 = 15/12
15+JM/28 = 15/12
Cross multiply
12(15+JM) = 15*28
180+12JM = 420
12JM = 420 - 180
12JM = 240
JM = 240/12
JM = 20
<em>Hence the length of JM is 20</em>
Answer:
An apple costs $0.45 and a banana costs $0.66.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
An apple costs x.
A banana costs y.
2 apple and 5 bananas cost 4.20 dollars
This means that:
So
3 apples and 4 bananas cost 4.
This means that:
Since
Then:
An apple costs $0.45 and a banana costs $0.66.
This is an isosceles triangle, so both legs are of length 5√2.
Use the Pyth. Thm. to find the length of the hypotenuse. Square 5√2 and double the result: 25(2) = 50; twice 50 is 100. The square of the length of the hyp. is 100, and so the length of the hyp is sqrt(100), or 10 (answer).
