Answer:
The slope is -0.89 and the y-intercept is (0, -3.05).
Step-by-step explanation:
To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.
Convert the equation by rearranging the terms using inverse operations.
-1.7x - 1.9y = 5.8 Add 1.7x to both sides.
+1.7x +1.7x
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-1.9y = 5.8 + 1.7x Divide both sides by -1.9.
y= - 0.89 x - 3.05
This is now in y=mx+b and m=-0.89 and b=-3.05.
The slope is -0.89 and the y-intercept is (0, -3.05).
Answer:
After 4 miles driven by cab the amount would be same in both cities.
Step-by-step explanation:
Let the number of miles be 'x'.
Given:
In NYC
Flat fee of cab = $4
Per mile charge = $1.25
Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.
Framing in equation form we get;
Total cab charges in NYC = 
In Chicago
Flat fee of cab = $6
Per mile charge = $0.75
Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.
Framing in equation form we get;
Total cab charges in Chicago = 
Now we need to find number of miles driven so that the amount could same in both cities.
Total cab charges in NYC = Total cab charges in Chicago

Combining like terms we get;

using Division Property we will divide both side by 0.5 we get;

Hence After 4 miles driven by cab the amount would be same in both cities.
Answer:
125 cubic inches
Step-by-step explanation:
For Cube:
l = 5 inches
Volume of Cube

Thus, A cube with sides of length 5 inches has a volume of 125 cubic inches.
Answer:
m<A is 60 degrees
m<B is 30 degrees
Step-by-step explanation:
As the problem says, the sum of m<A and m<B=90 degrees (m<A+m<B=90). The given measures are (5x+10) for <A and 3x for <B
we can substitute (5x+10) and 3x as <A and <B into the equation
so:
5x+10+3x=90
Combine like terms
8x+10=90
subtract 10 from both sides
8x=80
divide by 8
x=10
Now substitute as x
m<A: (5*10+10)=50+10=60 degrees
m<B: (3*10)=30 degrees
Hope this helps!
Answer: 2
Step-by-step explanation:
The equation for slope is change in y / change in x, which is (-4-(-12))/(4-0) in this case. That is equal to 2.