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4 years ago

What is the factored form of this expressions x^2+5x-36

Mathematics

1 answer:

mina [271]4 years ago

3 0

Answer:

(X+9)x(X-4)

Step-by-step explanation:

1. write as a difference:

X^2+5X-36

2. factor the expressions:

X^2+9X-4X-36

3. factor the expression: Xx(X+9)-4(X+9)

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The total cost to pay for parking at a state park for the day and rent a paddleboat are: 1 hour for $17, 2 Hours for $29, 3 hour

kolezko [41]

$412.8 for 24 hours
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3 years ago

Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The latus rectum is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints:

By (2):

$F(x,y) = (2, -2-5)$

$F(x,y) = (2,-7)$

By (1):

$(x-2)^{2} = -20\cdot (-7+2)$

$(x-2)^{2} = 100$

$x - 2 = \pm 10$

There are two solutions:

$x_{1} = 2 + 10$

$x_{1} = 12$

$x_{2} = 2-10$

$x_{2} = -8$

Hence, the endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

4 0

2 years ago

Humph im sad ask me why

devlian [24]

Answer:

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Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

a guy wire is attached to a tree 3.5ft above the ground to stabilize it. if the guy wire forms an angle with the tree of 50°, wh

balandron [24]

The plane figure formed by the ground, the guy wire, and the tree is a right triangle with the hypotenuse equal to length of the guy wire. The angle given is an angle adjacent to 3.5 ft. Therefore, the most suitable trigonometric function for this is,
cos (50°) = adjacent / hypotenuse
cos 50° = 3.5 ft / hypotenuse
The value of the hypotenuse is 5.445 ft.
Hence, the length of the guy wire is approximately 5.445 ft.

4 0

3 years ago

1. Amanda buys a new car for $65,000 and had to pay 8.75% sales tax. i. How

svetoff [14.1K]

Step-by-step explanation:

Amanda had to give away 8.75% of $65,000.

So:

(8.75÷100) × 65,000

= $5687.5 of tax

8 0

3 years ago