Answer:
This comes out to 2 mph.
Step-by-step explanation:
Reduce the following fraction:
6 miles
---------------
3 hours
This comes out to 2 mph.
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Equation y=-4x
m=-4. Slope is -4 y-intercept is 0
y-12=2(x-1)
y-12=2x-2
y=2x-2+12
y=2x+10
As tgose lines are parallel then,
a = 140° ( by alternate interior angles)
then,
tha angle just below "a" on the other paralle line would also be 140° by corresponding angles,
using exterior angle property of triangle
66° + b = 140°
b = 140° -66
= 74°
Answer:
I believe it's 19
Step-by-step explanation:
1 Gallon=4 Quart
2 pint=1 Quart
4 cups=1 Quart
12+3+2.5+1.5
