Answer:
y=3x.........1
y=x^2-10.......2
substituting value of eq 1 to 2
3x=x^2-10
x^2-10-3x=0
x^2-3x-10=0
x^2-5x+2x-10=0
X(x-5)+2(x-5)=0
(x-5)(X+2)=0
then
X=5 or X=-2
again
y=??
when X=5
y=3×5=15
when X=-2
y=-6
Answer:
180
Step-by-step explanation:
2 times 30 equals 60 which is an hour so 6 times 30 equals 180.
Answer:
42.5 units^2
Step-by-step explanation:
We can split up this shape into smaller ones.
First we can start with the large rectangle on top
We know its 9 by 3.5
9x3.5=31.5
The large rectangle is 31.5, at the end we'll add them all together
Next we can work on the small triangle on the bottom left
Area= bh/2
Both the base and height are 2, 2x2=4 4/2=2, The area of that triangle is 2
Now we can work on the triangle on the bottom right. This time the base is 5
5x2=10 10/2=5, The area of that triangle is 5
Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.
Now we know the small square is 2 by 2. 2x2=4 The square's area is 4
Now we add them all up.
31.5+2+5+4=42.5
In the given question, there are several data of immense importance. based on these data's the answer to the question can be easily deduced. it is already given that the total utility bill for the month of April in Millers house is $132 and 42% of the bill was paid for gas. remaining amount is paid as electricity charges.
Now
Amount of money paid for gas = 132 * (42/100) dollars
= 5544/100 dollars
= 55.44 dollars
Then
The amount of money paid for electricity = (132 - 55.44) dollars
= 76.56 dollars
So the Millers paid 55.44 dollars for gas and 76.56 dollars for electricity in the month of April.
The formula for the circumference of a circle = 2 x radius x pi
The radius is given as 21 cm and pi = 3.142
Circumference = 2 x 21 x 3.142 = 131.964 cm