Step-by-step explanation: last year
Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
Answer:
x=4.77
Angle 3=98.32 degrees
Angle 6= 81.68 degrees
Step-by-step explanation:
(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:
16x+22=3x+84 (angle 3=angle5)
Which we can now solve:
16x +22 - 22 - 3x=3x-3x+84-22
13x=62
13x/13=62/13
x=4.77 (2dp)
We can then use this x to calculate angle 3:
16(4.77)+22
76.33+22=98.32 degrees
Finally,
Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.
So to find angle 6,we can just subtract angle 3 from 180:
180-98.32=81.68 degrees.
Hope this helped!
Answer:
The best estimate for the solution is the ordered pair
Step-by-step explanation:
we have
------> equation A
------> equation B
we know that
using a graphing tool, the solution of the system of equations is the intersection point both graphs
The intersection point is
therefore
The best estimate for the solution is the ordered pair
Question 16
Given that two golfers completed one round of golf.
It is stated that the first golfer had a score of +6 and the second golfer had a score of -3.
- Let suppose 'x' be the number of shots the first golfer took.
It is clear that the first golfer is 6 over par, while the second golfer is under 3.
Thus, the equation becomes:
adding -3 to both sides
simplify
Thus, the second golfer has taken 9 more shorts.
Question 17
When we talk about credit, it means:
Credit = +
When we talk about debt, it means:
Debit = -
Thus,
Credit = +84
Debt = -29
Balance = 84 + (-29)
= 84 - 29
= 55
Thus, the balance is: 55