Option D
The trip lasts for 
<em><u>Solution:</u></em>
<em><u>Mr Patel is planning to drive 325 miles</u></em>
Average speed is 65 mph
He will stop one hour for lunch and take a 15 min rest break
Let us first find the time taken
Thus he covers 325 miles in 5 hours
Also, given that, he will stop one hour for lunch and take a 15 min rest break
<em><u>Therefore, total time taken for trip is:</u></em>
Total time = 5 hours + 1 hour + 15 minutes
Total time = 6 hours 15 minutes
We know that,
1 hour = 60 minutes
Therefore,
Thus the trip lasts for
This is the same as showing the following system of equations doesn't have a solution:
or in matrix form,
The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.
And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:
(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)
So there are indeed no such scalars <em>c₁</em>, <em>c₂</em>, and <em>c₃</em>.
Answer:
15 y 8
Step-by-step explanation:
y = x - 7
x² + y² = 289
sustituir: x² + (x - 7)² = 289
distribuir: x² + x² - 14x + 49 = 289
sustraer + simplificar: 2x² - 14x - 240 = 0
dividir: x² - 7x - 120 = 0
x² - 15x + 8x - 120 = 0
(x - 15)(x + 8) = 0
x = 15, x = -8 --> x ≠ -8 porque -8 no es naturales
sustituir: y = 15 - 7
simplificar: y = 8
Answer:
Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.
Step-by-step explanation:
Answer:
x=27
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
90 + x+23 + x+13 = 180
Combine like terms
126 +2x = 180
Subtract 126 from each side
126-126 +2x=180-126
2x =54
Divide by 2
2x/2 = 54/2
x = 27
