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3 years ago

DF bisects EDG Find FG. The diagram is not to scale.A.15B.14C.19D. 28

Mathematics

1 answer:

Ahat [919]3 years ago

6 0

Answer:

○ b. $14$

Step-by-step explanation:

Since DF is a segment bisector, set both expressions equal to each other:

3n - 4 = n + 8

-3n - 3n

__________

−4 = −2n + 8

-8 - 8

_________

−12 = −2n

__ ___

−2 −2

$6 = n$ [Plug this back into both expressions above to get the value of 14]; $14 = FG; 14 = EF$

I am joyous to assist you anytime.

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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola

Orlov [11]

Answer:

The equation of the Parabola

(y - 6 )² = 8 (x -6)

Step-by-step explanation:

Step(i):-

Given directrix x = 4

we know that x = h - a = 4

h -a = 4 ...(i)

Given Focus = ( 8,6)

we know that the Focus of the Parabola

( h + a , k ) = ( 8,6)

comparing h + a = 8 ...(ii)

k = 6

solving (i) and (ii) and adding

h - a + h+ a = 8 +4

2 h = 12

h =6

Put h = 6 in equation (i)

⇒ h - a =4

⇒ 6 - 4 = a

⇒ a = 2

Step(ii):-

The equation of the Parabola ( h,k) = (6 , 6)

( y - k )² = 4 a ( x - h )

(y - 6 )² = 4 (2) (x -6)

(y - 6 )² = 8 (x -6)

3 0

3 years ago

Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul’s typing speed compare to Jennifer’s

yan [13]

I'm not certain how exactly this question is supposed to be answered.

If it wants a ratio, Paul and Jennifer's speeds would be in a ratio of 3:4.

It also could be Paul types 20 words per minute slower than Jennifer.

It could be Paul types 33% slower than Jennifer.

Another answer could be Paul's typing speed is 3/4ths of Jennifer's typing speed.

Feel free to ask any further questions.

4 0

3 years ago

Read 2 more answers

Can somebody help me find the slope of this problem ??

andreev551 [17]

Answer:

The slope is 3/4

Please correct me if I am wrong please and thank you

Step-by-step explanation:

I use the slope formula $\frac{y2-y1}{x2-x1}$