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3 years ago

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Matt's family rented a car to go on vacation the cost of the rental was $50 plus an additional $0.20 per mile driven his family

drives drove 300 miles how much did they spend for the car

1 answer:

bagirrra123 [75]3 years ago

6 0

1) 300miles X $0.20 = $60

2) $50 + $60 = $110

They spent $110 for the car.

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Select the correct answer. What is the area of the triangle in the diagram? A. B. C. D. Reset Next Previous5 Next Using Coordina

Komok [63]

The area of the triangle can be calculated using the distance formula if the coordinates are given.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle with coordinates on the coordinate plane.

It is required to find the area of the triangle using the coordinate points.

Here the coordinates are not given, so we are assuming the coordinates are (x1, y1), (x2, y2), (0,0)

From the distance formula:

The distance(b) between (0, 0) and (x1, y1):

$\rm b = \sqrt{(x_1-0)^2+(y_1-0)^2} \Rightarrow \sqrt{x_1^2+y_1^2}$

The distance between (0, 0) and (x2, y2):

$\rm h = \sqrt{(x_2-0)^2+(y_2-0)^2} \Rightarrow \sqrt{x_2^2+y_2^2}$

So the area of the triangle:

A = bh/2

$\rm A = \dfrac{1}{2}\times \sqrt{x_1^2+y_1^2} \times \sqrt{x_2^2+y_2^2}$

$\rm A = \dfrac{1}{2} \sqrt{(x_1^2+y_1^2) (x_2^2+y_2^2)}$

Thus, the area of the triangle can be calculated using the distance formula if the coordinates are given.

Learn more about the triangle here:

brainly.com/question/25813512

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6 0

1 year ago

Please help!<br> 5x^2 - 3x - 2 = 0<br> Solve using the zero-factor property.

Alex

Answer:

x = -2/5

x = 1

Step-by-step explanation:

5x² - 3x - 2 = 0

(5x + 2)(x - 1) = 0

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5

⇒ x - 1 = 0

⇒ x = 1

7 0

2 years ago

NEED HELP!!! graph <br> y<1−3x

vekshin1

A graph and a table are provided below this discussion. You should plot these in this order.

y = 1 - 3x In red. It might be hard to see

y < 1 - 3x In blue

The table which is to the left of the graph

The table is constructed by putting a value in for x

x = 2

y = 1 - 3(2)

y = 1 - 6

y = - 5

8 0

3 years ago

Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3)

alexandr1967 [171]

The <em>directional</em> derivative of $f$ at the given point in the direction indicated is $\frac{5}{2}$ .

<h3>How to calculate the directional derivative of a multivariate function</h3>

The <em>directional</em> derivative is represented by the following formula:

$\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v$ (1)

Where:

$\nabla f (r_{o}, s_{o})$ - Gradient evaluated at the point $(r_{o}, s_{o})$ .
$\vec v$ - Directional vector.

The gradient of $f$ is calculated below:

$\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o}) \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right]$ (2)

Where $\frac{\partial f}{\partial r}$ and $\frac{\partial f}{\partial s}$ are the <em>partial</em> derivatives with respect to $r$ and $s$ , respectively.

If we know that $(r_{o}, s_{o}) = (1, 3)$ , then the gradient is:

$\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right]$

$\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right]$

$\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right]$

If we know that $\vec v = 5\,\hat{i} + 10\,\hat{j}$ , then the directional derivative is:

$\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right]$

$\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}$

The <em>directional</em> derivative of $f$ at the given point in the direction indicated is $\frac{5}{2}$ . $\blacksquare$

To learn more on directional derivative, we kindly invite to check this verified question: brainly.com/question/9964491

3 0

2 years ago

A family went to a restaurant for dinner. The subtotal for the meal including tax is $65.90. The family decided to leave a 20% t

maxonik [38]

Answer:

$79.08

Step-by-step explanation:

Find 20% of 65.90. 20% as a decimal is 0.20. Multiply 0.2 and 65.90.

65.90 x 0.20 = 13.18

Add 13.18 to the original price.

13.18 + 65.90 = 79.08

6 0

2 years ago