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Mars2501 [29]
3 years ago
5

What is the constant of proportionality in the table below

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

1/3

Step-by-step explanation:

Y/x=k that is the equation for constant of proportionality

2/6=k

1/3=k

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Solve the following quadratic equation by completing the square: x² + 12x = 15
Lerok [7]
Answer:

x = -1.14 or -13.14

Explanations:

The given equation is:

x^2+12x\text{  =  15}

Find the half of 12, and add the square to both sides of the equation.

That is add 6² to both sides

x^2+12x\text{ + 6}^{2}\text{  =  15 + 6}^{2}\begin{gathered} (x+6)^2\text{ =  15  +  3}6 \\ (x+6)^2\text{ = 51} \\  \end{gathered}

Find the square root of both sides:

\begin{gathered} \sqrt[]{(x+6)^2_{}}=\pm\sqrt[]{51} \\ \text{x  +  6  = }\pm\sqrt[]{51} \\ x\text{  =  -6  }\pm\sqrt[]{51} \\ \text{x  = }-6\pm7.14 \\ x\text{  = -6+7.14  = }1.14 \\ x\text{ = -6 - 7.14} \\ \text{x = -13.14} \end{gathered}

x = -1.14 or -13.14

3 0
1 year ago
You decide you need a new computer. The cost of the computer is $768. However,
igor_vitrenko [27]

Answer:32

Step-by-step explanation:

768/24=32

6 0
4 years ago
Find the value of x.
olchik [2.2K]

Answer:

x = 4

Step-by-step explanation:

In \triangle BAC, \: DE || AC

Hence, by basic proportionality theorem:

\frac{x + 2}{x}  =  \frac{3}{2}  \\  \\  \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\  \huge \red { \boxed{\therefore \:x = 4}}

7 0
3 years ago
Enter the value of the 8 in the following number. 438.13
d1i1m1o1n [39]

Answer:

8

Step-by-step explanation:

It is in the one's place, so it is just 8x1, which is 8

8 0
3 years ago
Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical p
julsineya [31]

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

3 0
4 years ago
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