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3 years ago

The midpoint of VW is M(2, 4). One endpoint is W(1, 7). Find the coordinates of the other endpoint V.

Mathematics

1 answer:

kkurt [141]3 years ago

4 0

Answer:

V(3, 1)

Step-by-step explanation:

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4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the

s2008m [1.1K]

Answer:

$\frac{x^2}{25} +\frac{y^2}{16} =1$

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = $2a$

where $a$ is called the semi-major axis.

In this case since the major axis is equal to 10 units:

$10=2a$

solving for the semi-major axis $a$ :

$a=10/2\\a=5$

and also the minor axis of an ellipse is represented as:

Minor axis = $2b$

where $b$ is called the semi-minor axis.

Since the minor axis has a length of 8 units:

$8=2b$

solving for b:

$b=8/2\\b=4$

Now we can use the equation for an ellipse centered at the origin (0,0):

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

and substituting the values for $a$ and $b$ :

$\frac{x^2}{5^2} +\frac{y^2}{4^2} =1$

and finall we simplify the expression to get the equation of the ellipse:

$\frac{x^2}{25} +\frac{y^2}{16} =1$

5 0

3 years ago

Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options

Murljashka [212]

Answer:

The value of X is more than equal to -1.83.

Step-by-step explanation:

We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'

LHS of the inequality will be : -32x-5

RHS of the inequality will be : (52-X)

So,

$-32X-5\leq 52-X$

Adding X both sides

$-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52$

Adding 5 to both sides,

$-31X-5+5\leq 52+5\\\\-31X\leq 57$

Dividing both sides by -31.

$X\geq \dfrac{-57}{31}\\\\X\geq -1.83$

So, the value of X is more than equal to -1.83.

5 0

3 years ago

What is the area of this triangle

Misha Larkins [42]

Answer:

Probably b or e

Step-by-step explanation:

this took me a while to answer this.

4 0

3 years ago

Please help me with this

LekaFEV [45]

Answer: can't add an answer, but for the first all 3 angles add up to 180 in a triangle for the second, plug 5 in and also check if all three add up to 180

Step-by-step explanation:

8 0

3 years ago

A gas tank on a car holds 16 gallons of gasoline and can travel 480 miles on a full tank. How many miles can the car travel usin

tamaranim1 [39]

16 gal... 480 mi
1 gal... 480/16 = 30 mi
9 gal.. 30*9 = 270 mi

4 0

2 years ago

Read 2 more answers