Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
Answer:
See below and attached
Step-by-step explanation:
<u>As per the graph we have:</u>
- Coordinates of JL are J(-7, 4), L(-4, 0)
- Coordinates of MP are M(-10, 8), P(-1, -4)
<u>Slope formula is:</u>
<u>Slope of JL:</u>
- (0 - 4)/(-4-(-7)) = - 4 / 3
<u>Slope of MP:</u>
- (-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3
Answer:
The medians of a triangle intersect at a point called the
centroid of the triangle
Step-by-step explanation:
The median of a triangle is a segment joining any vertex to the midpoint of the opposite side. The medians of a triangle are concurrent (they intersect in one common point). The point of concurrency of the medians is called the centroid of the triangle.
We will use the INVERSE OPERATION of multiplication which is division. Lets do it:-
3x = 27
27 ÷ 3 = x
27 ÷ 3 = 9
x = 9
CHECK OUR WORK:-
3x = 27
x = 9
3 · 9 = 27
We were RIGHT!!!!!
So, x = 27.
Hope I helped ya!!! xD
D
the n th term (explicit ) formula for a geometric sequence is
= 
The given explicit formula therefore has
= 5 and r = - 
The recursive formula, allows us to find the next term in the sequence from the previous term
Here the next term in the sequence is obtained by multiplying the previous term by -
= 
(- ) with = 5
