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nadezda [96]
3 years ago
10

Someone plz help me :(

Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

the answer is 9 mark me brainlest

Step-by-step explanation:

A P E X

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Directed line segment PT has endpoints whose
crimeas [40]

Answer:

(2 , 5)

Step-by-step explanation:

point (x,y) that divides the segment   PI in the ratio 2 to 1

PD=4 - (-2) = 6     PE/ED=2/1     PE=2ED      PE+ED=6    3ED=6    ED=2   PE=4

coordinate of E (2,1)   .... 2 is x coordinate of E

DI=7-1=6    DF/FI=2/1     DF=4

coordinate of F (4,5)   .... .... 5 is y coordinate of E

CF // PD            PC/CI=DF/FI=2/1

C (2,5)

4 0
3 years ago
Please help me with this question
stiks02 [169]
Do you know how to find the area and perimeter
7 0
3 years ago
Read 2 more answers
Find the IQR for the data set 24, 36, 42, 57, 65
Zielflug [23.3K]

Answer:

31

Step-by-step explanation:

The median of this data set is 42.

The 1st quadrant is the mean of 24 and 36:  30.

The 3rd quadrant is the mean of 57 and 65, or 61.

Thus, the IQR is the difference between 61 and 30:  It is 31.

3 0
4 years ago
Read 2 more answers
Given the rectangle abcd shown below has a total area of 72. E is in the midpoint of bc and f is the midpoint of dc. What is the
scoray [572]

Refer to the attached image.

Given the rectangle ABCD of length 'l' and height 'h'.

Therefore, CD=AB = 'l' and BC = AD = 'h'

We have to determine the area of triangle AEF.

Area of triangle AEF = Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE

Area of triangle ADF = \frac{1}{2}bh

= \frac{1}{2}(DF \times AD)

= \frac{1}{2}(\frac{l}{2} \times h)

=\frac{lh}{4}

Area of triangle ECF = \frac{1}{2}bh

= \frac{1}{2}(CF \times CE)

= \frac{1}{2}(\frac{l}{2} \times \frac{h}{2})

=\frac{lh}{8}

Area of triangle ABE = \frac{1}{2}bh

= \frac{1}{2}(AB \times BE)

= \frac{1}{2}(l \times \frac{h}{2})

=\frac{lh}{4}

Now, area of triangle AEF =

Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE

= 72 - (\frac{lh}{4} + \frac{lh}{8} + \frac{lh}{4})

= 72 - (\frac{2lh+lh+2lh}{8})

=72 - (\frac{5lh}{8})

=72 - (\frac{5 \times 72}{8})

=\frac{72 \times 8 - (5 \times 72)}{8}

= 27 units

Therefore, the area of triangle AEF is 27 units.

8 0
3 years ago
Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0
Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1  (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0
2 years ago
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