Subtract the 2nd row from the 1st row
5x = 5
Solve for x in the equation above
x = 1
Substitute x = 1 into any of the two equations above
Let's pick the first equation; 4x + 3y = -5
4 * 1 + 3y = -5
Solve for y in the equation above
y = -3
Therefore,
<u>x = 1</u>
<u>y = -3</u>
Answer:
2.456 x 10^11
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Parallel lines have the same slope. The slope of y = -1/3 x + 4 is -1/3.
The equation is
(y - 5) = -1/3 (x - 6)
y = -1/3 x -1/3 (- 6) + 5 = -1/3 x + 2 + 5 = -1/3 + 7
The equation is: y = - 1/3 x + 7
y = -1/3 x
Answer:
8
Step-by-step explanation:
DCB and ABC are right angles
DCB = 90 = 7x + 34
If 7x + 34 = 90, then 7x = 56 and x = 8
Hope this helps :)
The height of the kite is 4.89 feet
Explanation
The length of the line attached to the kite=7 feet
The length of the shadow that is cast on the ground=5 feet
the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.
H=7 feet
b=5 feet
using pythagoras theorem

The kite is 4.89 feet above the ground