All categories

2 years ago

In triangle ABC, EP=4. What is PC?

Mathematics

1 answer:

padilas [110]2 years ago

4 0

Answer:

PC = 8

Step-by-step explanation:

BF and CE are medians of the triangle.

On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then

PC = 2 × EP = 2 × 4 = 8

You might be interested in

A.line symmetry

padilas [110]

A line segment can have both line symmetry and rotational symmetry.
Answer: C )

3 0

3 years ago

Read 2 more answers

Six tools are in a bag – a hammer, wrench, drill, pliers, screwdriver, and measuring tape. You are trying to find the probabilit

Vesna [10]

You could roll a 6-sided die 3 times to simulate this. This is a good simulation because it has one side for each possible tool, and each roll is independent, just as selecting the tool with replacement would be.

3 0

3 years ago

Read 2 more answers

What binomial must he added to (3r+14) to make the sum of the two polynomials equal (8r-6)

rodikova [14]

Answer:

(5r - 20)

Step-by-step explanation:

(3r + 14) + (Ar + B) = (8r - 6)

B = -6 - 14 = -20

A = 8 - 3 = 5

4 0

3 years ago

Please help asap!!!

sp2606 [1]

Answer:

$y=\frac{1}{6} (x+5)^2-4.5$

$y=\frac{-1}{20} (x-10)^2+1$

Step-by-step explanation:

focus at (-5, -3), and directrix y = -6

Directrix y=-6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

(h,k) is the center

P is the distance between focus and vertex

distance between focus and directrix = 2p

distance between -3 and y=-6 is 3

2p = 3

p = 3/2 or p = 1.5

Focus is (h, k+p)

given focus is (-5, -3) so h= -5 and k+p = -3

k+p=-3, plug in 1.5 for p

k + 1.5 = -3

subtract 1.5 on both sides

k = -4.5

(x-h)^2 = 4p(y-k)

$(x+5)^2= 4(1.5) (y+4.5)$

$(x+5)^2= 6(y+4.5)$

divide by 6 on both sides

then subtract 4.5 on both sides

$y=\frac{1}{6} (x+5)^2-4.5$

focus at (10, -4), and directrix y = 6.

Directrix y=6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

distance between focus and directrix = 2p

distance between -4 and y=6 is -4-6=-10

2p = -10

p = -5

Focus is (h, k+p)

given focus is (10, -4) so h= 10 and k+p = -4

k+p=-4, plug in 5 for p

k - 5 = -4

add 5 on both sides

k = 1

(x-h)^2 = 4p(y-k)

$(x-10)^2= 4(-5) (y-1)$

$(x-10)^2= -20(y-1)$

divide by -20 on both sides and add 1 on both sides

$y=\frac{-1}{20} (x-10)^2+1$

8 0

3 years ago

Which of the following statements are the same? (A) x -= x + 4 (B) x = x + 4 - x (C) x = x - (x + 4) (A) and (B) are the same (A

Nesterboy [21]

Answer: (A) and (B) are the same

Step-by-step explanation:

for (A)

x-=x+4

x=x-(x+4)

x=x-x-4

x=4

for (B)

x=x+4-x

x=4

for (C)

x=x-(x+4)

x=x-x-4

x=-4

so (A) and (B) are the same because the value of their x is +4

5 0

3 years ago