Answer:
m² - 4m - 45 = 0
Step-by-step explanation:
(m + 5)(m - 9) = 0
m² + 5m - 9m - 45 = 0
m² - 4m - 45 = 0
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = £600
r = 3.2% = 3.2/100 = 0.32
n = 1 because it was compounded once in a year.
t = 6 years
Therefore,.
A = 600(1 + 0.032/1)^1 × 6
A = 600(1.032)^6
A = £724.82
Answer:
(0, 4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint.
Okay for this problem you can multiply 6 by 4.5 aand get 27 as your answer.
So 6×4.5=27 miles in 4.5 hours
<h3>
Answer:</h3>
7
<h3>
Step-by-step explanation:</h3>
The triangle shown is a 45-45-90 triangle. This name comes from the fact the 3 angle measurements are 45, 45, and 90 degrees.
If needed, you could find the missing angle using the equation: 180 - (45 + 90) = x.
Special Right Triangles
Special right triangles allow us to use formulas and shortcuts to find missing sides easily. Another type of special right triangle is the 30-60-90 triangle. While both of these are special right triangles, they have different formulas.
Formulas
All 45-45-90 triangles have 2 types of sides: the legs (a and b) and the hypotenuse (c).
- c = b

- b = a
- a = b
In these triangles, both of the legs are congruent.
Solving for c
Since we are given b, we can just plug the b-value into the formula that solves for c.
- c = 7

The answer cannot be simplified further, so this is the final answer.