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3 years ago

Find the equation of the line that satisfies the given conditions.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

4 0

Answer:

y = -12/11 is the equation

Step-by-step explanation:

The equation of a line in the slope-intercept form is;

y = mx + b

if slope is 0

y = b

So what we have to do here is to substitute the value of y;

b = -12/11

Thus, the equation is;

y = -12/11

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Solve by using the quadratic formula 3x^2+5=-2x

rosijanka [135]

Hello from MrBillDoesMath!

Answer: -1/3 + i* (1/3) * sqrt(14) and -1/3 - i* (1/3) * sqrt(14)

Discussion :

Recall the solutions of the quadratic equation "ax^2 + bx + c = 0" are given by the formula

x = ( - b +/- sqrt (b^2 - 4ac) ) / 2a

Rewriting the given equation in this for gives

3x^2 + 2x + 5 = 0

so a = 3, b = 2, and c = 5. Substituting the values in the formula gives

x = (- 2 + sqrt ( 2^2 - 4*3*5) ) / 2a #1

and

x = (- 2 - sqrt ( 2^2 - 4*3*5) ) / 2a #2

Simplifying, #1 = ( -2 + sqrt(4-60) )/ (2 * 3) =

-2/(2*3) + (sqrt(-56)) / (2*3) =

-1/3 + i * (sqrt (56)) /6 =

-1/3 + i * (sqrt(4 *14)) /6 =

-1/3 + i * (sqrt(4)/6) * sqrt(14) =

-1/3 + i * (2/6) * sqrt(14) =

-1/3 + i* (1/3) * sqrt(14)

Similarly, the solution of # 2= -1/3 - i* (1/3) * sqrt(14). The only difference between the two solutions is the minus sign boldfaced above.

Regards, MrB

7 0

3 years ago

In a city, the record monthly high temperature for March is 56°F. The record

Korolek [52]

Answer:

60 degrees F

Step-by-step explanation:

To find the range of temperatures, find the absolute value of the difference of the temperatures. It doesn't matter in which order you subtract.

|56 - (-4)| = |56 + 4| = |60| = 60

You can subtract in the other order:

|-4 - 56| = |-60| = 60

Range: 60 degrees F

8 0

3 years ago

Read 2 more answers

Mrs. Hartka is packaging soup in cylindrical cans. She calculated the volume of soup to be 325 cubic centimeters per can. The ar

GarryVolchara [31]

The height of each soup can is 4.138 centimeters, if the the volume of soup to be 325 cubic centimeters per can and the area of the base of each can is 25 square centimeters.

Step-by-step explanation:

The given is,

The volume of soup to be 325 cubic centimeters per can.

The area of the base of each can is 25 square centimeters.

Step: 1

Formula to calculate the volume of cylidrical soup can,

$Volume, V = Bh$ ............................(1)

Where, B - Base area of cylidrical soup can

h - Height of cylindrical soup can

Step: 2

From the given values,

Base area, B = 25 square centimeters

Volume, V = 325 cubic centimeters

Equation (1) becomes,

325 = ( 25 ) (h)

h = $\frac{325}{25}$

= 13 centimeters

Height of cylindrical soup can, h = 13 centimeters

Result:

The height of each soup can is 4.138 centimeters, if the the volume of soup to be 325 cubic centimeters per can and the area of the base of each can is 25 square centimeters.

5 0

4 years ago

Create a real-life representation of the following multiplication problem. Explain what the result represents in the problem.

olya-2409 [2.1K]

The real-life problem will be:- The total number of chocolates is 24 and there are 3 boxes what will be the number of chocolates filled in each box. The number of chocolates in each box will be 8.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is:-

$24\times \dfrac{1}{3}$ = 8

The real-life problem will be given the as:-The total number of chocolates is 24 and there are 3 boxes what will be the number of chocolates filled in each box. The number of chocolates in each box will be 8.

Hence the number of chocolates in each box will be 8.

To know more about Expression follow

brainly.com/question/723406

#SPJ1

7 0

2 years ago

Kia’s dinner bill is $40.25, which include a 15% tip

hichkok12 [17]

Answer:

Step-by-step explanation:

40.25 x 0.15 =

Then 40.25+ the number^ then thts your answer