Answer:
n = - 4, n = 10
Step-by-step explanation:
Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.
Substitute x = 6 and y = n into the equation
(6 - 1)² + (n - 3)² = 74, that is, expanding using FOIL
5² + n² - 6n + 9 = 74 ← simplifying
34 + n² - 6n = 74 ( subtract 74 from both sides and rearrange )
n² - 6n - 40 = 0 ← in standard form
(n - 10)(n + 4) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 4 = 0 ⇒ n = - 4
The values of n are - 4 and 10
Answer:
11
Step-by-step explanation:
Let the number be x.
Then by the question,
2x+4 = 3x-7
x=11
Answer:
8 cm
Step-by-step explanation:
A = L x W
40= L x 5
40÷5=L
L= 8cm
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
4x - 5 - 2x = x - 5
Step 2: Solve for <em>x</em>
- Combine like terms: 2x - 5 = x - 5
- Subtract x on both sides: x - 5 = -5
- Add 5 to both sides: x = 0
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
4(0) - 5 - 2(0) = 0 - 5
0 - 5 - 0 = -5
-5 = -5
In the right angled triangle, a hypotenuse is the longest line of the triangle and is always the one that is opposite the right-angle of the triangle.
If your triangle is a right angled triangle, the simplest way is to use the Pythagora's Theorem to find the length of the hypotenuse. The formula for which is
a² + b² = c² where c is the unknown hypotenuse and a and b are the other two sides.
<span>Using this formula,
3</span>² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c which if you notice is also the lengthiest .
