In the smallest of the three triangles (with sides 
) we have
In the second-largest triangle (with sides 
), the length of the missing side is 
. Then in the largest triangle (with sides 
), we have
Equivalently, we have
In turn, we find
Answer:
Step-by-step explanation:
-p(d+z)=-2z+59
-pd-pz=-2z+59
lets bring all z integers on one side
-2z+pz = -pd-59
z(-2+p)=-pd-59
z = (pd-59) / (-2+p)
The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j
Hence the answer is:
v*w=(-42i+20j)
If there are 60 people waiting for a river raft ride. Each raft holds
15 people. how Silvia's work can be used to find the number
of rafts needed is: total number of people/Number of people holded by each raft.
<h3>
Number of rafts needed</h3>
Using this formula
There are 136 people waiting for a river raft ride each raft holds 8 people.
Number of rafts needed=Number of people/Capacity of raft
Where:
Number of people = 60
Capacity of raft = 15 people
Let plug in the formula
Number of rafts needed=60/15
Number of rafts needed=4 rafts needed
Therefore if raft holds 15 people. how Silvia's work can be used to find the number of rafts needed is: total number of people/<em>Number </em>of people holded by each raft.
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Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
