Answer:
28 miles
Step-by-step explanation:
Let
x ----> the number of miles
y ----> the total cost of taxi fare
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value (value of y when the value of x is equal to zero)
In this problem we have
The unit rate or slope is equal to
The initial value or y-intercept is equal to
substitute
Find out how many miles can you ride for $10
Subtract $2 of the tip
we have
y=$10-$2=$8
substitute in the linear equation
Solve for x
[tex]x=28\ miles/tex]
Answer:
Explanation:
<u>Description of triangle EFD</u>:
- Angle EFD: right angle (90º)
- x: adjacent leg to angle EDF
- 3: hypotenuse of triangle EFD
<u>Description of triangle EDG</u>:
- Angle EDG: right angle (90º)
- 4 adjacent leg to angle EGD
- 5: hypotenuse of triangle EDG
<u>Similarity</u>:
- Triangle EFD and triangle EGD are similar.
Then, since corresponding parts of similar triangles are proportional:
<u>Clear x</u>:
Since y = 1/2x + 3
X - 2(1/2x + 3), x/1 - 2x/2 -6/2 = x+3
Or x-x-3=0 which equals -3 so it is inconsistent since it's not dependable :)
We can assume that the point the ladder creates with the ground and building is a triangle. You can use the Pythagorean theorem to solve this.
A^2 + B^2 = C^2
The ladder is C, and the building can act as A or B, so for the purpose of this explanation, I’ll make it A.
11^2 + B^2 = 14^2
Figure out the squares
121 + B^2 = 196
Subtract 121 from both sides
B^2 = 75
Square root B^2 and 75
B = 5 root3
