Answer:
The slope is -7/4
Step-by-step explanation:
∵ 7x + 4y = 10
∵ y = mx + c ⇒ where m is the slope of the line
∴ Re-arrange the equation
∴ 4y = 10 - 7x ⇒ ÷4
∴ y = 10/4 - (7/4) x
∴ y = 5/2 - (7/4) x
∴ The slope is -7/4
So what we do is
area that remains=total area-triangle area that was cut out
we need to find 2 things
total area
triangle area
total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12
triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4
so
total area=6x^2+17x+12
triangle area=x^2-4
subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16
area that remains is 5x^2+17x+16
Answer:
B. 30x
D. x(45-15)
Step-by-step explanation:
The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.
45x -15x = x(45 -15) = 30x
The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
- A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
- how long will it take the boat to travel 36 miles downstream and 36 miles upstream?
The time taken by the boat upstream will be calculated as:-
( B + W ) Td = D
( 12 + 3 ) Td = 32
( 15 ) Td = 32
Td = 32 / 15 = 2.1 hours
The time taken by the boat downstream will be calculated as:-
( B - W ) Tu = D
( 12 - 3 ) Tu = 32
9 Tu = 32
Tu = 32 / 9 = 3.56 hours.
Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
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Answer:
-7c
Step-by-step explanation:
