6x + y = -2
y = -3x + 1
Substitute the value of y in first equation,
6x -3x + 1 = -2
3x = -2-1
x = -3/3
x = -1
Now, Substitute it in 2nd equation,
y = -3(-1) + 1
y = 3+ 1 = 4
Coordinates would be: (-1,4) Mark that point and join with origin.
Hope this helps!
Answer:
t = 1
Step-by-step explanation:
16 - 2t = t + 9 + 4t; move numbers and t's
-16 -16 ; subtract 16 from both sides
-2t = 5t -7 ; subtract -5t from both sides
-5t -5t
--------------
-7t = -7 ; divide by -7
t = 1
Answer:
161/495
Step-by-step explanation:
Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard =
= 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
Answer:
625 cm^2
Step-by-step explanation:
Break it into a rectangle on the bottom and a triangle on top
rectangle area = 50 x 8 = 400 cm^2
triangle area = 1/2 b * h = 1/2 * 50 * 9 = 225 cm^2
added together = 625 cm^2