first we change the format: y=-3x-5 Since its perpendicular the slope will be a negative inverse. y=mx+b
Answer:
x=2 or x=1 where x is integer.
Step-by-step explanation:
even numbers are the multiple of 2 or which are perfectly divided by 2 i.e. 2,4,6 etc.
Let 'x' be the first even number and 'x+2' be the second even number.
now translate the given sentence into mathematical order we write as.
x*(x+2)=5x-2
now simplify for x we get the integer.
x*x+2x=5x-2
=5x-2x-2
=3x-2
-3x+2=0
since above eqn is quadratic i.e. having greater power is 2, so using quadratic formula or middle term braking or completing square we get the value of x or integer.
using middle term braking we get the values of integers.
-2x-1x+2=0
x(x-2)-1(x-2)=0
(x-2)(x-1)=0
x-2=0 and x-1=0
x=2 or x=1
verification
2*4=10-2
8=8
Answer:
70 cents
Step-by-step explanation:
Answer:
When a wire is bent to form a circle then its length represents the circumference of the circle formed. Therefore in our case the circumference of the circle is 50 cm. we can use this to determine the radius of the circle and then determine the area. Circumference of a circle is given by \pi × diameter, (\pi = 3.142)
thus diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm
the radius will be 15.9134 ÷2 = 7.9567 cm or ≈ 7.96 cm
The area of a circle is given by \pi × square of radius
Area = 3.142 × 7.96×7.96 = 199.0821 square cm
Thus the area of the circle formed is ≈ 199.08 square cm ( 2 decimal places)
Step-by-step explanation:
Step-by-step explanation:
Given that the first number is
5,555 and
the second number is 4,444
the product of 5,555 and4,444= 24686420
to the nearest thousand 5,555= 6000
to the nearest thousand 4,444= 5000
Therefore the product of 6000 and 5000 is
=6000x5000
=30000000