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dalvyx [7]
3 years ago
15

Will Mark Brainliest

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

we are given with the data of a parabola with vertex at (2, 2) and directrix at y  = 2.5. the formua should be ax^2 + b x + c = y because of the directrix. 

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

(x-2)^2 =4a (y-2) 

a is the equidistant distance from focus to vertex and from vertex to directrix that is equal to -0.5

then the  answer is 

(x-2)^2 =-0.5*4 (y-2) 

x2 - 4x + 4 = -2y +4

x2-4x+2y = 0

answer is C

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A certain forest covers an area of 8.25%. Suppose that each year this area decreases by 4800km^2. What will the area be after 5
Varvara68 [4.7K]
<h3>The area after 5 years is 3120.841 square kilometer</h3>

<em><u>Solution:</u></em>

<em><u>The decreasing function is given as:</u></em>

y = a(1-r)^t

Where,

y is future value

a is initial value

r is decreasing rate

t is number of years

From given,

a = 4800

t = 5

r = 8.25 \% = \frac{8.25}{100} = 0.0825

Therefore,

y = 4800(1 - 0.0825)^5\\\\y = 4800 \times 0.9175^5\\\\y = 4800 \times 0.6501\\\\y = 3120.841

Thus the area after 5 years is 3120.841 square kilometer

8 0
3 years ago
Are AC and DF definitely parallel? How do you know?
SOVA2 [1]

Answer:

We know that,

Angle E = 123

Angle B = 57

We observe that,

Angle DEB and Angle E form a linear pair and are supplementary.

Angle DEB + Angle E = 180

Angle DEB = 180-123

=57

We know that if two lines are parallel, the corresponding angles are equal.

Conversely, if the corresponding angles are equal, then the two lines are parallel.

Here,

As Angle B and Angle DEB are corresponding angles are equal in measure (Angle B = Angle DEB = 57), we can say that Line AC and Line DF are parallel.

3 0
3 years ago
What is the measure of ∠BCD? Enter your answer in the box. ° quadrilateral A B C D with side A B parallel to side D C and side A
zlopas [31]

Answer:

77°

Step-by-step explanation:

Angles B and C are adjacent angles of a parallelogram, so are supplementary.

... ∠C = 180° -∠B = 180° -103° = 77°

6 0
4 years ago
Read 2 more answers
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daser333 [38]

Answers:

  • First Blank = 54
  • Second Blank = 162

=============================================

Explanation:

The first blank represents the distance that corresponds to t = 1 hour.

We'll replace t with 1 to get...

d = 54t

d = 54*1

d = 54

Therefore, 54 goes in the first blank. It means that Isaac traveled 54 miles after 1 hour.

------------------

We repeat these steps for t = 3

d = 54*t

d = 54*3

d = 162

This means he traveled 162 miles after 3 hours

So 162 goes in the second blank

-------------------

Side note: your teacher wrote 180 but s/he should have written 108 instead because 54*2 = 108

8 0
3 years ago
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