Answer:x=-2 y=-6
Step-by-step explanation:
11x+4y=-46..........(1)
7x-4y=10..............(11)
Add (1) and (11)
11x+7x+4y-4y=-46+10
18x=-36
Divide both sides by 18
18x/18=-36/18
x=-2
substitute x=-2 in (11)
7x-4y=10
7(-2)-4y=10
-14-4y=10
Collect like terms
4y=-14-10
4y=-24
Divide both sides by 4
4y/4=-24/4
y=-6
Answer:
C. Gas Station A sells gasoline at a lower rate. Its price is $3.05 per gallon
Step-by-step explanation:
To answer this, all you need to do is first figure out how much per gallon each of the gas stations offer.
Because Gas station B is practically given to you by the equation, I'll show you how to interpret it:
p = $3.08g
p is the price
g is the gallon
So the price you will pay will be $3.08 times the number of gallons. This means that 1 gallon, if you substitute it will be $3.08.
This would eliminate options A and B.
Now to figure out how much Gas station A charges, just choose one of the prices. All we need to do is to divide the price given by the number of gallons:
So Gas station A is lower than Gas station B.
The area of a parallelogram = base(b) × height(h)
Here the base value = 12.0 in
while the value of the height is not given but the angle of the base with it adjacent side is given that is here 45°
Let the magnitude of height or altitude be x
So the value of x can be find out by trigonometry
Here we can write tan(45°) = x/6.5 in
then the value of tan(45°) = 1
so 1 × 6.5 = x
therefore the value of x= 6.5
Now we can find the area of the parallelogram such that base × height = (6.5×12) in^2 = 78.0 in^2 (ans)
Hope it helps
If <span>EC </span>bisects ∠BED, then m∠BEC = m∠DEC
11x + 2 = 8x + 20
11x - 8x = 20 - 2
3x = 18
x = 6
m∠BED = 2 * m∠BEC
= 2(11x + 2)
= 2(11*6 + 2)
= 2(66 + 2)
= 2 * 68
= 136°
Simplifies to <span>g(x)+1.875=0</span>
