Answer:
Logan is 45 feet from second base.
Step-by-step explanation:
If you divide 90 by 2 because is 1/2 away then it would be 45
First let us find the slope between the two points.
Slope = Change in y / Change in x.
(3, 6) and (8, 4) compares to (x₁, y₁) and (x₂, y₂)
Slope = (y₂ - y₁) / (x₂ - x₁) = (4 - 6) / (8 - 3) = -2/5
Slope m = -2/5= -0.4
Using y = mx + c, using point (3, 6)
y = -0.4x + c
6 = -0.4*3 + c
6 = -1.2 + c
6 + 1.2 = c
7.2 = c
c = 7.2
Equation = : y = -0.4x +c
y = -0.4x + 7.2
y = -4/10 + 72/10
10y = -4x + 72
5y = -2x + 36
Equation =: 5y = -2x + 36
Hope this explains it.
Answer:
Length:28 cm
Width: 13 cm
Step-by-step explanation:
Let
x ---> the length of a rectangle picture frame
y ---> the width of a rectangle picture frame
we know that
The area of a rectangle picture frame is equal to

we have

so
----> equation A
The length of a rectangle picture frame is 2 centimeters more than twice it’s width
so
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (28,13)
see the attached figure
therefore
Length:28 cm
Width: 13 cm
<span>4(x+5) = 4x +5x
Simplify by distributing and combining like terms
</span>(4)(x)+(4)(5)=4x+5x
4x+20=4x+5x
4x+20=(4x+5x)
4x+20=9x
Subtract 9x from each side
4x+20−9x=9x−9x
5x+20=0
<span />
Subtract 20 from each side
−5x+20−20=0−20
−5x=−20
Divide each side by -5
-5x ÷ -5 = -20 ÷ -5
x = 4
P.S this was actually harder than most algebra problems, so don't beat yourself about it :D<span /><span /><span /><span /><span />