Since y=Mx+b (Mx being slope and b being y intercept) you should plot a dot on (0,1) and then for the slope you would rise up 2 to 3 and then go over one to the point (3,1) I hope I could explain it well.
Answer:
m∠ABC = 130.4°
Step-by-step explanation:
Angle Bisector: The line that divides the angle into <u>two equal parts</u>.
If BD bisects ∠ABC then:
⇒ ∠ABD = ∠DBC
Given m∠ABD = 65.2° then:
⇒ ∠DBC = 65.2°
Therefore:
⇒ m∠ABC = m∠ABD + m∠DBC
⇒ m∠ABC = 65.2° + 65.2°
⇒ m∠ABC = 130.4°
Answer:
Line A B and Line C G are parallel.
Line C G and Line R S are perpendicular
Line A B and Line R S must intersect
Line segment C G lies in plane X
Step-by-step explanation:
Given that Planes X and Y intersect at a right angle.
From the image attached, line AB and CG are on the same plane X while line RS is on plane Y. Hence, line CG lies on plane X.
Since both line AB and CG line on the same plane, this means that both lines are parallel to each other.
Since plane X and plane Y are perpendicular to each other and line CG is on plane X and line RS is on plane Y, this means that both Line C G and Line R S are perpendicular.
Also Since plane X and plane Y intersect and line AB is on plane X and line RS is on plane Y, this means that both Line C G and Line R S intersect with each other at right angle.
Answer:
11.0 years
Step-by-step explanation:
The exponential function describing the population growth can be written ...
population = (initial population)×(1 +growth rate)^years
If t represents the number of years, we can fill in the values to get ...
18500 = 12000×1.04^t
Dividing by 12000 gives ...
18500/12000 = 1.04^t
Taking logarithms, we have ...
log(18500/12000) = t×log(1.04)
t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0
It will be 11.0 years until the population reaches 18,500.
Parameterize this surface (call it <em>S</em>) by

with
and
.
The normal vector to <em>S</em> is

Compute the curl of <em>F</em> :

So the flux of curl(<em>F</em>) is


Alternatively, you can apply Stokes' theorem, which reduces the surface integral of the curl of <em>F</em> to the line integral of <em>F</em> along the intersection of the paraboloid with the plane <em>z</em> = 4. Parameterize this curve (call it <em>C</em>) by

with
. Then

