Answer: Length = 2x✓15
Step-by-step explanation:
A rectangle has a width of 2x inches and a diagonal length of 8x inches. We are told to find the length of the rectangle. The square of the diagonal is the addition of the square of the length and square of the width.
Adjacent² = length² + width²
(8x)² = length² + (2x²)
Length² = 64x² - 4x²
Length² = 60x²
Length = ✓60x²
Length = ✓4 × ✓15 × ✓x²
Length = 2 × ✓15 × x
Length = 2x✓15
Answer:
4,644 calories
Step-by-step explanation:
The computation of the number of calories to be burned is shown below
r = rate = 8.6 cal/min
= 8.6 cal ÷ [(1 ÷ 60)hr]
= 516 cal/hr
Now
Calories consumed in 9 hours is
= (516 cal/hr) × (9 hrs)
= 4,644 calories
Option b is the correct answer
Answer:
(a)
The equation of the given curve is y=x2−2x+7.
On differentiating with respect to x, we get:
dxdy=2x−2
The equation of the line is 2x−y+9=0.⇒y=2x+9
This is of the form y=mx+c.
Slope of the line =2
If a tangent is parallel to the line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.
Therefore, we have: 2=2x−2
⇒2x=4⇒x=2
Now, at x=2
⇒y=22−2×2+7=7
Thus, the equation of the tangent passing through (2,7) is given by,
y−7=2(x−2)
⇒y−2x−3=0
Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
(b)
The equation of the line is 5y−15x=13.
Slope of the line =3
If a tangent is perpendicular to the line 5y−15x=13,
then the slope of the tangent is Slope of the line−1=3−1.
⇒dxdy=2x−2=3−1
Answer:
18%
Step-by-step explanation:
males support to wilson =0.18
percentage will be=18%