If (3, -2) is a solution of the linear equation 3x – py – 7 =0, then find the value of p.
1 answer:
Answer:
-1
Step-by-step explanation:
So to solve this, it tells you that (3, -2) is a solution so you can substitute x = 3 and y = -2 into the equation which would look like this:
Then, you solve the equation for p:
first, simplify the left side
subtract 2 from both sides
divide both sides by 2
Now, you have p = -1!
hope that makes sense :D
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The area of the bare spot the gardener needs to replant is 201 square feet
Step-by-step explanation:
We have to find the area of the circular bare spot
Given
Radius of bare spot = r = 8 inches
The formula for area of a circle is given by:
putting the value
Rounding off to nearest foot
201 ft^2
Hence,
The area of the bare spot the gardener needs to replant is 201 square feet
Keywords: Area, radius
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Answer:
Therefore the value of k = 6.
Step-by-step explanation:
Given:
LN = m
NM = l
OM = k
NO = 4
LO = 8
LM = 8 + k and
Δ LNM ,Δ LON and Δ MON are right Triangle.
To Find :
Om = k = ?
Solution:
In Right angle Triangle By Pythagoras Theorem we have,
So, In Right angle Triangle Δ LON we have,
LN² = ON² + OL²
m² = 4² + 8²
m² = 80 ............( 1 )
Now in Right angle Triangle Δ MON we have,
MN² = ON² + MO²
l² = 4² + k² ....................( 2 )
Now In Right angle Triangle Δ LNM we have,
LM² = LN² + MN²
(8 + k)² = m² + l² .................( 3 )
Substituting equation 1 and equation 2 in equation 3
(8+k)² = 80 + 4² + k²
Applying (A+B)² = A² +2AB + B² we get
Therefore the value of k = 6.
