Answer:
The two numbers are <u>15</u> and <u>6</u>.
Step-by-step explanation:
Given:
The difference between two numbers is 9.
The first number plus twice the other number is 27.
Now, to find the two numbers.
Let the first number be
And the other number be
So, the difference between two numbers is 9.
............(1)
As, given the first number plus twice the other number is 27.
According to question:
Substituting the value of from equation (1):
<em>Subtracting both sides by 9 we get:</em>
<em>Dividing both sides by 3 we get:</em>
The other number = 6.
Now, substituting the value of in equation (1):
The first number = 15.
Therefore, the two numbers are 15 and 6.
To find the x-intercept, substitute in 0 for y and solve for x.
3x² - 7x - 8 = 0
We're asked about square roots so we won't try to factor; we'll go right for the quadratic formula,
x = ( 7 ± √(7² - 4(3)(-8)) )/(2(3)) = (7 ± √(49+96))/6 = 7/6 ± √145/6
145 = 5×29, so no square factors. The positive difference is
d = (7/6 + √145/6) - (7/6 - √145/6) = 2√145/6 = √145/3
so m=145, n=3 for a sum of
Answer: 148
Answer:
30 cm^2.
Step-by-step explanation:
This is a right angled triangle because it fits the Pythagoras theorem ( 13^2 = 12^2 + 5^2).
The area = 1/2 * 12 * 5
= 30 cm^2.