Answer:
m = 29/48
Step-by-step explanation:
Given that
x₂ = (y₂-y₁) +10 →(1
y₂ = y₁-x₁ → (2
y₁= 37
x₁ = 29
Now substitute the value of x₁ and y₁ into equation 2
y₂ = 37-29
y₂ = 8
Now substitute the value of y₂ and y₁ into equation 1
x₂ = (8-37) +10
x₂ = -19
As we know the slope (m) can be calculated as follows
m =(y₂ - y₁)/(x₂ - x₁)
m = (8- 37)/(-19 - 29)
m = (-29)/(-48)
m = 29/48
So our slope is 29/48
Answer:
Option A. 4 radians
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the measure of angle 
we know that
The circumference of the circle subtends a central angle of 2π radians
so
using proportion
Find out the central angle by an arc length of 20 cm
Answer:
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Step-by-step explanation:
p(x) = 5x^4 + 40x
p(x) = 5x(x^3 + 8)
p(x) = 5x(x + 2)(x^2 - 2x + 4)
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Top one is x+3, bottom one is 5
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
