Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 
(x₁ + x₂ ) , (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ (5 - 1), (8 - 4 ) ] = (2, 2 )
Answer:
x = 7
Step-by-step explanation:
A line perpendicular to the x- axis is a vertical line parallel to the y- axis.
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line goes through
The line goes through (7, 13) with x- coordinate of 7, thus
x = 7 ← equation of perpendicular line
X+y=156
<span>0.05x+0.25y=21.6
-1/4*/ x+y=156
1/20x+1/4y=216/10
-1/4x-1/4y=156*-1/4=-39
</span>1/20x+1/4y=216/10
<span>+--------------------------
-4/20x=-17,4
x=87
</span>x+y=156
<span>
87+y=156 y=69
this question answer is </span><span>87 nickels and 69 quarters</span><span>
</span>
Answer:
A) slope of f(x) = 3 , slope of g(x) = 7
B) y intercept of f(x) is 0 and g(x) is 2
So g(x) has greater y intercept
Step-by-step explanation:
Lets find equation of f(x) using the given table
LEts take two points from the table (0,0) (1,3)
we use equation y=mx+b
where m is the slope and b is the y intercept
we got m = 3, we use (0,0) and find out b
y=mx+b
0 = 3(0) + b
so b=0
So equation for f(x)= 3x +0
slope =3 and y intercept = 0
For equation g(x) = 7x +2 , slope = 7 and y intercept = 2
The formula is
A=p (1+r/k)^kt
A fund needed 30000
p Amount invested?
R interest rate 0.1
K compounded semiannual 2
T time 1 year
Solve the formula for p to get
P=A÷(1+r/k)^kt
P=30,000÷(1+0.1÷2)^(2×1)
P=27,210.88
