Answer:
(x, y) = (8, -3)
Step-by-step explanation:
You can substitute for x in the first equation:
3(-3y -1) +3y = 15
-6y = 18 . . . . . add 3 and simplify
y = -3 . . . . . . . divide by -6
x = -3(-3) -1 = 8 . . . . find x using the second equation
The solution to this system of equations is (x, y) = (8, -3).
Answer:
45 square units.
Step-by-step explanation:
Applying the pythagoras theorem:
Base of the bigger triangle =
=
= 12 units
Area of a triangle is given by
× base × height
The area of the bigger triangle is
× 12 × 9 = 54 square units.
The area of the smallest triangle is
× (12 - 10) × 9 = 9 square units.
The area of the figure( required triangle) is 54 - 9 = 45 square units.
Answer: 57 ft
Step-by-step explanation: Because drawing it up, we can make a right angled triangle with the right angle between the height of the man in the building and the distance out from the building of the man in the street, and the 35 degrees between the line connecting the man in the street with the man in the building, and the line out from the building of the man in the street. Then, tan of the 35 degree angle is = to opposite (40ft)/adjacent (to solve for). By cross multiplication, the A or adjacent (dist out from the building) = 40/0.7 (0.7 = tan of 35 degrees) so the answer is 57 ft.
Answer:
x≥9
Step-by-step explanation:
Pretend the Less than or equal to sign is just an equals sign
-7x+7=-56 Solve:
-7x=-56-7
-7x=-63
For the last step, if you divide a negative number, the Sign switches. So not the sign is greater than or equal to.
x>=9
You solve this by using google.com or YouTube.com
Or just pay attention in class to get this.