-3Ix + 7I = -12 (divide -3 from each side)
Ix + 7I = -12/3
Ix + 7I = -4
x + 7 = -4 or -x - 7 = -4
x = -11 or -x = 3
x = - 3
x = -3 or -11
Answer:
the answer and steps are pictured above
Answer:
She will do 61 sit ups.
Step-by-step explanation:
The number of situps are increasing by 4 each day.
So at this rate...
Day 6: 37
Day 7: 41
Day 8: 45
Day 9: 49
Day 10: 53
Day 11: 57
Day 12: 61
Answer:
units²
Step-by-step explanation:
D and E lie on the x- axis and F is vertically below D
The triangle formed is right at D with legs of length 3 and 7
The area (A) of a right triangle is found using the formula
A = 
bh ( b is the base and h the perpendicular height )
here b = 3 and h = 7, hence
A = × 3 × 7 = units ²
Answer:
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Step-by-step explanation:
the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is
av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4
thus
av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 - (-π/ 4)]
= 2*sin (π/2) /(π/2) = 4/π
then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are
4/π = 2 cos(2c)
2/π = cos(2c)
c = 1/2 cos⁻¹ (2/π) = 0.44
c= 0.44
since the cosine function is symmetrical with respect to the y axis then also c= -0.44 satisfy the equation
thus
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
