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3 years ago

What is he product of (n-8)(n+2)

Mathematics

1 answer:

liubo4ka [24]3 years ago

5 0

Answer:

$\large\boxed{(n-8)(n+2)=n^2-6n-16}$

Step-by-step explanation:

Use FOIL:

(a + b)(c + d) = ac + ad + bc + bd

We have:

$(n-8)(n+2)=(n)(n)+(n)(2)+(-8)(n)+(-8)(2)=n^2+2n-8n-16$

combine like terms

$=n^2+(2n-8n)-16=n^2-6n-16$

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A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?

Hatshy [7]

<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

Solution:

The volume of triangular prism is given as:

$v = base\ area \times height$

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

Substituting the values we get,

$428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2$

Thus the base area of triangular prism container is 42.8 cubic centimeter

3 0

3 years ago

What is the value of x in the figure? (Figure included.)

kotykmax [81]

See those lines that are pependicular
meanins that those lines are same legnth
in triangle, if 2 sides are same measure legnth then the angles oposite those sides are same measure

therefor top right and top left angle is 42

remember that vertical angles are congruent

remmeber all angles ad to 180 in a triangle

so therefor look at top triangle
top right angle is 42
top left is 42
bottom must be x
total is 180 so
42+42+x=180
84+x=180
minus 84 fromboth sides
x=96

answer is 96 degrees

7 0

3 years ago

Divide 1/7 divided by 6

ArbitrLikvidat [17]

Answer:

1/42

Step-by-step explanation:

1/7 ÷ 6/1

1 x 1 = 1

------------

7 x 6 = 42

1/42

already simplified to the fullest

hope that helps!

6 0

2 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: