3 feet per second is equivalent to 2.04545 miles per hour
Answer:
y=-4/3x-9
=
−
4
3
x
−
9
Step-by-step explanation:
First we need to get the slope of the perpendicular line
The slope of a perpendicular line is equal to the negative inverse of the slope of the given line
y
=
m
x
+
b
y
=
3
4
x
−
2
⇒
m
=
3
4
m
'
=
−
1
m
⇒
m
'
=
−
1
3
4
⇒
m
'
=
−
4
3
Now that we have the slope, we need to find the y-intercept.
To find the y-intercept, we need to plug-in values of
x
and
y
that the line passes through
y
'
=
m
'
x
'
+
b
⇒
y
'
=
−
4
3
x
'
+
b
⇒
7
=
−
4
3
(
−
12
)
+
b
⇒
7
=
16
+
b
⇒
b
=
−
9
Therefore, the equation of the line is
y
=
−
4
3
x
−
9
Simplify both sides of the equation
-4.8=1.2s+2s+4
Combine like terms
-4.8=(1.2s+2s)+(4)
-4.8=3.2s+4
Flip the equation
3.2s+4=-4.8
Subtract both sides by 4
3.2s+4-4=-4.8-4
3.2s=-8.8
Divide both sides by 3.2
3.2s/3.2= -8.8/3.2
S=-2.75 will be the answer hope it helps
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
Answer:
Step-by-step explanation:
1.
d - 27 = 45
add 27
d = 72
2.
h - 114 = 28
add 114
h = 142
3.
-4 + x = 15
add 4
x = 19
4.
-39 + g = 72
add 39
g = 111
