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Evgen [1.6K]
3 years ago
11

Fill in the table using this function rule. y= 2 + 3x

Mathematics
2 answers:
BARSIC [14]3 years ago
6 0
Y=2+3x
2+3(1)=5
2+3(2)=8
2+3(3)=11
2+3(5)=17
vfiekz [6]3 years ago
5 0

Answer:

5

8

11

17

Step-by-step explanation:

2+3(1)= 5

2+3(2)=8

2+3(3)=11

2+3(5)=17

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Sandra throws an object straight up into the air with initial velocity of 38 ft per square from platform that is 30 ft above the
expeople1 [14]

Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:  

h(t)=-16t^2+v_0t+h_0, where, v_0 represents initial velocity and h_0 represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

h(t)=-16t^2+38t+30

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

-16t^2+38t+30=0

Divide by 2:

-8t^2+19t+15=0

Upon using quadratic formula, we will get:

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}

t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}

t=\frac{-19\pm29}{-16}

t=\frac{-19-29}{-16},t=\frac{-19+29}{-16}

t=\frac{-48}{-16},t=\frac{10}{-16}

t=3,t=-\frac{5}{8}

Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.

7 0
3 years ago
Help me to prove the given below. Thank you in advance
sleet_krkn [62]

Answer:

Construct MO, where O is the midpoint of CG. (As shown in the attached figure)

(1) LM = MG //given, CM is the median to the hypotenuse      

(2) CO = OG // construction    

(3) MO is a mid-segment   //(1), (2) , Definition of a mid-segment

(4) MO // LC //triangle mid-segment theorem    

(5) ∠MOG ≅ ∠LCO // corresponding angles in two parallel lines intersected by a transversal line (CG)

(6) m∠LCO=90°  //given, ΔLCG is a right triangle

(7) m∠MOG=90° //(5), (6), definition of congruent angles

(8) m∠MOC=180° – 90° = 90° // linear pair

(9) ∠MOG ≅ ∠MOC //(7),(8), definition of congruent angles

(10) MO=MO //common side, reflexive property of equality  

(11) ΔMCO ≅ ΔMGO  //(2), (9), (10) Side-Angle-Side postulate

(12) MC = MG // Corresponding sides in congruent triangles (CPCTC)      

(13) MG= ½LG // Given, CM is the median to the hypotenuse    

(15) MC = ½LG //(12) , (13), substitution  

8 0
3 years ago
What should you do before creating a research question for a presentation? Check all that apply. create an outline to organize m
Sindrei [870]

The things that are to be done before creating a research question for a presentation are: option C, D, and E.

<h3>What is a research question?</h3>

A research question can be defined as an issue, event or subject of inquiry that a researcher is keenly and deeply interested to provide a response or an answer to, when conducting a research.

Basically, the things that are to be done before creating a research question for a presentation are:

  • Review the research topic and what the prompt asks for.
  • Think of an argument or an opinion if necessary.
  • Consider what I know and what I need to know.

Learn more about research question here: brainly.com/question/10129052

#SPJ1

8 0
2 years ago
Read 2 more answers
Two sides of a triangle measure 25 cm and 35 cm. What is the meadure of the third side?
SpyIntel [72]

Answer:

43cm

Step-by-step explanation:

use the pythagorean theorem:

a² + b² = c²

25² + 35² = c²

625 + 1225 = c²

1850 = c²

√1850 = c

43 cm = c

your a, b and c values depend on where the values are on the triangle.

4 0
4 years ago
PLSSSSSSS HELPPPPPPPPPP MEEEEEEEEEEEEEE
lozanna [386]

Answer:

x= 16

Step-by-step explanation:

8x + 50 = 178

8x = 178- 50

8x = 128

x = 128/8

x = 16

8 0
3 years ago
Read 2 more answers
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