Answer: (-2+√5), (-2-√5)
Step-by-step explanation:
<u>1.</u> Reference the formula: [(-b±(√b^2-4ac))/2a]
<u>2.</u> Plug in the values from the equation: [(-4±(√16+4))/2]
<u>3.</u> Simplify: [(-4±(√20))/2]
<u>4.</u> Simplify the root: [(-4±(2√5))/2]
<u>5.</u> Simplify the fraction: [-2±√5]
<u>6.</u> There's your answer: (-2+√5), (-2-√5)
Answer:
x = 7 , y = 7
Step-by-step explanation:
A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is
x = 7
Using Pythagoras' identity in the right triangle, then
y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )
y = 
= 
= 
× = 7
Answer:
<h3>The answer is option B</h3>
Step-by-step explanation:
The nth term of the sequence is
A(n) = 5n + 7
To find the (n+1)st term substitute n+1 into the general equation
That's
<u>For (n + 1)st term</u>
A(n+1) = 5(n+ 1) + 7
A(n+1) = 5n + 5 + 7
<h3>A(n+1) = 5n + 12</h3>
Hope this helps you
Answer:
Demand quantity: 6.3246
Supply quantity: 4.4721
Step-by-step explanation:
Supply equation:
p = (1/2) * q^2
Demand equation:
p = -(1/2) * q^2 + 30
(p is the price, q is the quantity)
If the price p is equal to 10, then we can calculate:
Supply quantity:
10 = 0.5 * q^2
q^2 = 20
q = 4.4721
Demand quantity:
10 = -0.5 * q^2 + 30
0.5 * q^2 = 20
q^2 = 40
q = 6.3246
