Answer:
12
Step-by-step explanation:
12 divided by 1 using long division is 12. As long as a number is divided by 1 the number is the same as the dividends number.
Answer:
x
^15
Step-by-step explanation:
Answer:
1. 6
2. 9
3. 9
4. 6
5. 9
6. 6
Step-by-step explanation:
The answers are in the order listed on your assignment page.
Hope this helps :)
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
Answer: x = 7
-----------------------------------------
Angle STU is 15x. This is the exterior angle on the right side of the triangle
Subtract this from 180 to get angle RTS
angle RTS = 180 - (angle STU)
angle RTS = 180 - 15x
Focus solely on triangle RTS. If needed, erase the portion that extends out toward point U
If we focus on the triangle only, then angle R = angle T since they are the base angles of the isosceles triangle. We know that triangle RST is isosceles since RS = ST is given to us.
Because angle R = angle T, we know
angle R = 180-15x
angle T = 180-15x
and we also know
angle S = 4x+2
since that's given as well
Add up the three angles and set that sum equal to 180. Then solve for x
R+S+T = 180
(180-15x)+(4x+2)+(180-15x) = 180
(-15x+4x-15x) + (180+2+180) = 180
-26x + 362 = 180
-26x + 362-362 = 180-362
-26x = -182
-26x/(-26) = -182/(-26)
x = 7
