Not necessarily.
and
may be linearly dependent, so that their span forms a subspace of
that does not contain every vector in
.
For example, we could have
and
. Any vector
of the form
, where
, is impossible to obtain as a linear combination of these
and
, since
unless
and
.
XPY is the circumference minus XY
the angle of arc XY is 90 degrees
a full revolution of a circle is 360 degrees
the distance XY is 1/4 of the circumference of the circle
the circumference of a circle is C=2 pi r
r is 10m
the circumference is 20 pi
1/4 of 20 is 5
the distance of arc XY is 5 pi
20pi - 5 pi = 15 pi
3 feet 4 feet 5 feet is the answer. 3(3 + 4 + 5)=36
Student P:
They messed up in step 1 because they made the 7.75 positive instead of negative, which causes the entire solution to be wrong
Student Q:
They were correct up until step 3. They didn't take all the negatives out of the equation (ex. -(3.5+7.75+29.67)).
Complete set:
From the picture, it looks like the original problem was
-2.5(1.4+3.1)+6.9(-4.3)
Step 1: multiply
1.4(-2.5)+3.1(-2.5)+6.9(-4.3)
Step 2: subtract (add?) them all together
-3.5-7.75-29.67
Step 3 should equal -40.92
Answer:
y = 4x - 14
Step-by-step explanation:
Use point-slope form and substitute the values.
y - 2 = 4(x - 4)
y - 2 = 4x - 16
y = 4x - 14
