The equation has two solutions = [-4 + 2√13]/3] and
= [-4 - 2√13]/3]
Given the question:
(x + 4)^2 = 15 - 2x^2.
To solve the above Equation by using Quadratic Formula:
Solving Steps of Equation:
Expand the expression
Move the expression to the left
= 0
Collect like terms
Use the Quadratic formula:
x = [-b ± √(b2 – 4ac)]/2a
x = [-8 ± √(8^2 – 4x3x1)]/2x 3
Multiply and evaluate :
x = [-8± √(64 – 12)]/6]
Calculate:
x = [-8± 2√13]/6]
Separate the solutions
= [-4 + 2√13]/3]
= [-4 - 2√13]/3]
Hence, The equation has two solutions = [-4 + 2√13]/3] and
= [-4 - 2√13]/3]
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Answer:
Solution given:
Cos X=Adjacent/hypotenuse
Cos X=6.5/8.4
x=Cos-¹(6.5/8.4)
<u>x=39.3</u>°
Hello!
Angle A has the same one line mark as angle Z. This makes them congruent. The same with B and X, but with a two line mark. This means C is congruent to Y.
This means our answer is D.
I hope this helps!
Answer:
10.45 Gallons of fuel
Step-by-step explanation:
The distance Ricks car can run in 1 gallon = 29.7 miles
Hence in order to travel 29.70 miles , Ricks need : 1 gallon
Therefore to cover 1 mile he needs = gallon
Hence to cover 310.365 miles he needs = gallons
Hence the fuel required for the trip of 310.365 miles is 10.45 gallons of fuel