Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = 
= 
= 
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D
Answer:
3rd choice
Step-by-step explanation:
Add 6 to both sides to get 5x >= 15, or x >=3. This is the 3rd choice.
Answer: p = 6
Step-by-step explanation:
HI !
px + 3y - ( p-3)=0
a₁ = p , b₁ = 3 , c₁ = - (p-3)
=====================
12x + py - p=0
a₂ = 12 , b₂ = p , c₂ = -p
since , the equations have infinite solutions ,
a₁/a₂ = b₁/b₂ = c₁/c₂
p/12 = 3/p = p-3/p
--------------------------------------
p/12 = 3/p
cross multiply ,
p² = 36
p = √36
p = 6
for the value of p = 6 , the equations will have infinitely many solutions
Answer:
C
Step-by-step explanation:
75 divided by 3 is equal to 25 therefore it is 3 feet per 1 second they will travel 30 feet in 10 seconds
Answer:
The Z score of the person is -3.09.
Step-by-step explanation:
The standard normal deviate (Z) for a normal distribution is given by
where,
X = the value of observation
is mean of the observations and
σ = standard deviation of the score
Applying values we get
