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IRISSAK [1]
3 years ago
6

IM IN DESPERATE NEED FOR HELP SOMEONE HURRRRYYY

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.

Step-by-step explanation:

Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles.  Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.

Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC

Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.

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1. Quadratics.
Drupady [299]

h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8. This can be obtained by understanding the concepts of graph function.

<h3>What is the value of h(24)?</h3>

Given,

h(x) = -0.017x² + 1.08x + 5.8

Put h = 24,

h(24) = -0.017(24)² + 1.08(24) + 5.8

h(24) = -9.792 + 25.92 + 5.8

h(24) = 21.93

The height of the shot put above the ground is 21.93 feet when the shot is 24 feet horizontally from the start.

<h3>What is the value of the vertical intercept?</h3>

Vertical intercept, x = 0

h(0) = -0.017(0)² + 1.08(0) + 5.8

h(0) = 5.8

The height of the shot put above the ground is 5.8 feet at the start.

<h3>What is the values of the vertex coordinates?</h3>

vertex coordinates,

(h,k) = [(-b/2a),-(b²- 4ac)/4a]

(h,k) = [(-1.08/2(-0.017)),-((1.08)²- 4(-0.017)(5.8))/4(-0.017)]

(h,k) = [(1.08/0.034),(1.5608)/0.068)]

(h,k) = (31.76,22.95)

The maximum height attained by the shot is 22.95 feet when it is horizontally 31.76 feet away from the start.

<h3>How far from the start did the shot put strike the ground?</h3>

Put h(x) = 0,

-0.017x² + 1.08x + 5.8 = 0

Use quadratic formula for solving x,

x = (-b±√b²- 4ac)/2a

Here a = -0.017, b=1.08, c=5.8

x = [-1.08±√1.08²- 4(-0.017)(5.8)]/(2×-0.017)

x = [-1.08±√1.5608]/-0.034

x =  [-1.08-1.2493]/-0.034 and x =  [-1.08+1.2493]/-0.034

x = 68.509 and x = - 4.98

Distance between (68.509,0) and (- 4.98,0) = √[68.509 -(- 4.98)]² + (0-0)²

                                                                        = √73.49²

                                                                        = 73.49 feet              

Hence h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8.

Learn more about graph:

brainly.com/question/14180189

#SPJ1

8 0
2 years ago
Brianna visits 20 houses every day in her
Nimfa-mama [501]

Answer:

6 days

Step-by-step explanation:

5 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 321
PIT_PIT [208]

Answer:

160,160

Step-by-step explanation:

let the first page be X

second one be x+1

x+x+1=321

2x=320

x= 320÷2=160

pages 160 161

6 0
3 years ago
HELP ASAP WILL PUT FIRST AS 5 STAR, THANK YOU AND ALSO A BRAINLEIST!!<br><br><br><br>​
kifflom [539]

Answer:

17. 13 miles : 1 hour

19. 12 saved : 1 week

21. $0.47 : 1 pound

23. $1.33 : 1 gallon

Step-by-step explanation:

Your goal is to make the second numbers, "1." So divide the first numbers by the second number to simplify.

Ex: 104 ÷ 8 = 13 Therefore, 13 miles per 1 hour (13 miles : 1 hour)

3 0
3 years ago
Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then
siniylev [52]
There’s no turning point bc the multiplicity is one

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3 years ago
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