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Colt1911 [192]
3 years ago
15

What is the solution of the linear equation? LaTeX: 5k\:+\:3.8\:=\:3k\:+\:95 k + 3.8 = 3 k + 9 Group of answer choices 26 6.4 .0

65 2.6
Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

k = 2.6

Step-by-step explanation:

Given

5k + 3.8 = 3k + 9

Required

Solve

5k + 3.8 = 3k + 9

Collect like terms

5k -3k+ 3.8 = 3k -3k + 9

2k+ 3.8 = 9

Subtract 3.8 from both sides

2k+ 3.8 - 3.8= 9 - 3.8

2k= 9 - 3.8

2k = 5.2

Divide through by 2

k = 5.2/2

k = 2.6

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Answer:

A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length

Step-by-step explanation:

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3 years ago
The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -
scoray [572]

Answer:

d = |- 5- 9|

Step-by-step explanation:

Given

Initial = 9^\circ F

Final = -5^\circ F

Required

Determine the difference

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d is calculated using

d = |Final - Initial|

The equation becomes

d = |- 5- 9|

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Solve: 5y – 3.5 = 10.5
Svetlanka [38]

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7 0
3 years ago
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A rock is launched from a cannon. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Us
max2010maxim [7]

Answer:

Step-by-step explanation: This is the quadratic function:

h(x)=ax²+bx+c

We have two points:

(1,58)

(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0

Therefore:

a(0)²+b(0)+c=0

c=0

(1,58)

a(1)²+b(1)=58

a+b=58  (1)

(2,112)

a(2)²+b(2)=112

4a+2b=112

2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:

a+b=58

2a+b=56

we can solve this system of equations by reduction method.

-(a+b=58)

2a+b=56

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

a=-2

-2(a+b=58)

2a+b=56

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

      -b=-60  ⇒  b=60

The function is:

h(x)=ax²+bx+c

h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)

h(10)=-200+600=400

Answer: 400 ft.

8 0
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