Answer:
Step-by-step explanation:
y = -4x + 5.....slope here is -4. A parallel line will have the same slope.
y = mx + b
slope(m) = -4
(-6,-2)....x = -6 and y = -2
now we sub and find b, the y intercept
-2 = -4(-6) + b
-2 = 24 + b
-2 - 24 = b
-26 = b
so ur equation is : y = -4x - 26 <====
Answer
16π cm ≈ 50.2655 cm
Step-by-step explanation
To find the circumference of a circle, we can use the equation C = 2πr.
C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.
The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.
Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.
C = 2πr (plug in 8 cm for the radius)
C = 2π * 8
C = 16π cm
Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).
16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value
C = 16π
C ≈ 16 * 3.1416
C ≈ 50.2655 cm rounded to four decimal places
Four subtracted from two times x
Answer:
Length of diagonal is 7.3 yards.
Step-by-step explanation:
Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.
To find: The length of the diagonal of the corral.
Solution: Let the width of the rectangular garden be <em>x</em> yards.
So, the length of the diagonal is 
width of the rectangular corral is 
We know that the square of the diagonal is sum of the squares of the length and width.
So,
Since, side can't be negative.
Now, length of the diagonal is
Hence, length of diagonal is 7.3 yards.
The answer to this is
3(x+1)(x+8)
