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Ymorist [56]
3 years ago
11

How do u solve this?

Mathematics
1 answer:
lara [203]3 years ago
6 0

Answer:

x=5

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

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Andreas93 [3]

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3 0
3 years ago
Read 2 more answers
Solve the system of equations using substitution.
faltersainse [42]

Answer:

( \frac{1}{3}, 3 )

Step-by-step explanation:

Given the 2 equations

y = 9x → (1)

6x - y = - 1 → (2)

Substitute y = 9x into (2)

6x - 9x = - 1, that is

- 3x = - 1 ( divide both sides by - 3 )

x = \frac{1}{3}

Substitute x = \frac{1}{3} into (1) for corresponding value of y

y = 9 × \frac{1}{3} = 3

Solution is ( \frac{1}{3}, 3 )

6 0
3 years ago
Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t
rodikova [14]
\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}

The distance traveled by the particle is given by the definite integral

\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

where C is the path of the particle. The distance is then

\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi
6 0
3 years ago
The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. Explain how to find the
bogdanovich [222]

Answer:

Step-by-step explanation:

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.

1 mile = 1760 yards

24.5 miles = 24.5 × 1760

= 43120 yards

Therefore, the car drives 43120 yards on 1 gallon of gas.

7 0
3 years ago
Which shows the use of the associative property?
irina1246 [14]

Answer:

The Second One or B. You were correct.

Step-by-step explanation:

The associative property is when the numbers of an equation stay the same, but the parentheses move.

6 0
3 years ago
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