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3 years ago

I need help on this one thanks!!

Mathematics

1 answer:

mart [117]3 years ago

8 0

Answer:

CU = 12

Step-by-step explanation:

Clearly from the diagram of the triangle we can say that,

AD, BE and CF are the medians of the triangle ABC , since they are bisecting the sides of the triangle equally.

Also , U is the intersection point of the these mediands of the triangle whic is known as centroid of the triangle.

Now, from the property of the centroid , centroid divides the median in the ratio of 2 :1 from the point C .

Thus CU will be $\frac{2}{3}$ times of CF (median) .

Given is Cf equals 18 ,

Thus , CU = $\frac{2}{3}$ ×18 = 12.

So, CU equals 12 .

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4. will give brainliest

saul85 [17]

The equation of the ellipse in standard form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>

By analytical geometry we know that foci are along the major axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the standard form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)

Where:

a - Length of the major semiaxis.
b - Length of the minor semiaxis.

Now, we proceed to find the vertex and the lengths of the semiaxes:

a = 10 units.

b = 8 units.

Vertex

V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)

V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

V(x, y) = (1.5, 1) + (- 4.5, 1)

V(x, y) = (- 3, 2)

The equation of the ellipse in standard form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

To learn more on ellipses: brainly.com/question/14281133

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8 0

2 years ago

What does the quadratic function f(x)=x^2-10x+9 look like when it is rewritten in the form f(x) = a (x-h) + k

Tatiana [17]

ANSWER

When $f(x)=x^2-10x+9$ is written in the form $f(x)=a(x-h)^2+k$ , it looks like $f(x)=(x-5)^2-16$

EXPLANATION

To write $f(x)=x^2-10x+9$ in the form $f(x)=a(x-h)^2+k$ , we have to complete the squares.

We add and subtract half the coefficient of $x$ square.

$f(x)=x^2-10x+(-5)^2-(-5)^2+9$

The first three terms of the function is now a perfect square.

$f(x)=(x-5)^2-25+9$

We now simplify rto obtain,

$\Rightarrow f(x)=(x-5)^2-16$

6 0

4 years ago

An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com

Alisiya [41]

Answer:

The expression to determine the total cost in dollars is $y=25+0.75x$ .

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

$y=20+0.75x+5\\\\y=25+0.75x$

Hence the expression to determine the total cost in dollars is $y=25+0.75x$ .

3 0

3 years ago

What’s the third side?

romanna [79]

The anwser is 90 because its 90 degree angle

6 0

3 years ago

Sam decided to go to the amusement with his sister. He paid $10 for parking and $12.50 per ticket. Determine the y-intercept. Wr

denis-greek [22]

Answer: (0,10)

Step-by-step explanation: y=mx+b

y=12.5x+10

0=12.5x+10

10 is y because its on the outside

6 0

3 years ago