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Lerok [7]
3 years ago
5

What is the value of X?

Mathematics
1 answer:
balandron [24]3 years ago
3 0
The problem can be solved using the Power of a Point, which states that:

EC \cdot ED=EB \cdot EA.

Substituting

EC=x+4; ED=x+5; EB=x+1; EA=x+12, 

we have the equation

(x+4) \cdot (x+5)=(x+1) \cdot (x+12).

Expanding both sides we get, 

x^2+9x+20=x^2+13x+12.

Subtracting x^2 from both sides, we have
                           
9x+20=13x+12. 
 
Collecting x's and the numbers on two different sides, we have:

4x=8, which finally yields x=2.



Answer: x=2
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katovenus [111]

Answer:

(0, -7)

Step-by-step explanation:

The y-intercept is the point on the line where x = 0 (AKA where the line crosses the y-axis).

Here, the y-intercept is literally given within the question as (0, -7).

8 0
3 years ago
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A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your va
guajiro [1.7K]

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3

3 0
4 years ago
Thea and Eleanor are reading the same book. The graph shows the number of words Thea reads over time. Eleanor reads 225 words pe
Lapatulllka [165]
The slope is the rate
words per minute
we can do
540 words in 3 minutes
divide by 3
180 words in 1 minute

thea=180wpm
elanor=225wpm

elanor>thea

and 225*2=450


answers are
Thea reads 180 words per minute.

Eleanor reads 450 words every 2 minutes.

After 1 hour of reading, Eleanor reads more words than Thea.

6 0
3 years ago
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Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are differe
eduard

There are no results for Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different

3 0
3 years ago
Solve: x³-7x²+36=0.​
Aliun [14]

Answer:

3,6,-2

Step-by-step explanation:

a+2a+b = 7

2a^2b = -36

a*2a + ab + 2ab = 0

or, a(2a+3b) = 0

so, b = -2a/3

Solve those and you find 3,6,-2

3 0
3 years ago
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