The number is 28.
The equation would be:
237 + 6(x) = 405
The problem states that 6 times the opposite of a number, however, since the number sign was not given, we do not know whether it is in a positive or negative form. So we leave it as only x.
237 + 6x = 405
6x = 405 - 237
6x = 168
6x / 6 = 168 / 6
x = 28
To check:
237 + 6 (28) = 405
237 + 168 = 405
405 = 405
Answer:
It's the last choice:
2x + y - 1 = 0.
Step-by-step explanation:
x - 2y - 3 = 0
Convert to slope-intercept form in order to find the slope:
-2y = -x + 3
y = 1/2x - 3/2
So the slope is 1/2. The slope of a line perpendicular to this is -1 / 1/2 = -2.
Using the point-slope form to find the required equation:
y - y1 = m(x - x1)
x = 4 and y = -7 so we have:
y + 7 = -2(x - 4)
y + 7 = -2x + 8
2x + y - 1 = 0 is the answer.
Answer:
324 square meters
Step-by-step explanation:
Hey there!
The surface area of a shape is the area of all the surfaces added up
The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96
Now we need to do this for the other sides
the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192
The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36
Now we add all the values: 96+192+36 which is 324
So the surface area of the prism is 324 square meters
Everything it's on the picture
Answer:
(1,-2)
(1,-6)
(3,-3)
Step-by-step explanation:
