Answer:
y = -47
Step-by-step explanation:
To find the midpoint of two points, add them together and divide by 2
(y+33)/2 = -7
To find y, multiply each side by 2
(y+33)/2 *2 = -7*2
y+33 = -14
Subtract 33 from each side
y+33-33 = -14-33
y = -47
Ratio 1:5....added = 6
complimentary angles, when added, = 90 degrees
1/6(90) = 90/6 = 15
5/6(90) = 450/6 = 75
so ur 2 angles are : 15 and 75
Answer:
for this type of question, integral by parts should be used . This involves using the formula for intregation by parts:
intudv=uv-intvdu.
lets first break apart the x and e10x into two parts - "u" and "v"
where u = x.
however, we need to find the value of v. in order to do this, we can integrate dv/dx in order to get to v.
the value of dv/dx is : e10x
u = x dv/dx = e10x
as seen in the formula, you need to have a value for u, dv, v and du.
therefore in order to get du you must differentiate u:
u = x
du/dx = 1
du = 1dx = dx
du = dx
in order to get v you need to integrate dv/dx:
\displaystyle \inte10x dx = 1/10 x10x
now that we have both parts, we can put this back into the formula.
intudv=uv-intvdu.
\displaystyle \intxe10x = x * 1/10e10x - \displaystyle \int1/10e10x dx
Step-by-step explanation:
3 is 300,000 in 345,268.19