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kow [346]
2 years ago
11

Choose the correct linear equation given the slope and a point P. m = 5/6, P = (-6,-2)

Mathematics
2 answers:
kondor19780726 [428]2 years ago
6 0

Answer:

3rd option is correct

.........................................

lana66690 [7]2 years ago
3 0

Answer:

option c

Step-by-step explanation:

Linear equation in slope intercept form: y = mx +b

m is slope and b is y-intercept.

m = 5/6

y=\dfrac{5}{6}x+b\\

The point P(-6 ,-2) passes through the line. So, plugin s and y values in the above equation.

-2=\dfrac{5}{6}*(-6)+b\\\\\\-2= -5 + b\\\\-2 + 5 = b\\

b = 3

Equation of the line:

y=\dfrac{5}{6}x+3

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What is the factorization of the expression below 16x2 - 49?
mrs_skeptik [129]

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Complete each question by choosing or typing in the best answer. To receive the highest score, be sure to leave nothing blank. W
Stells [14]

Answer:

The correct option is C) 36

Step-by-step explanation:

Consider the provided table:

x - y

1 - 1

2 - 4

3 - 9

4 - 16

Observe the pattern:

If we square the x value we can find the corresponding y value.

For example

2² = 4

Where 2 is x value and 4 is corresponding y value, similarly

3² = 9

4² = 16

Now we need to find the y value when x=6.

To find this simply square the x value that will gives us the corresponding y value.

6² = 36

Hence, the correct option is C) 36

5 0
3 years ago
Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x
aev [14]

Answer:

B)  y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔  P  = k Q    ⇔ k = \frac{P}{Q}

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which  x ∝y

y  = 81/3 x

Here, \frac{y}{x} = \frac{81}{3}  = 27 \ne 9

So, here Proportionality Constant ≠ 9

y = 9 x

Here, \frac{y}{x} =  9

So, here Proportionality Constant = 9

y = 3 x

Here, \frac{y}{x} =  3 \ne 9

So, here Proportionality Constant ≠ 9

y  = 1/9 x

Here, \frac{y}{x} =  \frac{1}{9}  \ne 9

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9

8 0
3 years ago
Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying
Naddik [55]

Answer: $3100

Step-by-step explanation:

Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:

= $2000 × 2

= $4000

Since he earned a one-time $900 scholarship. The amount left to pay will be:

= $4000 - $900

= $3100

3 0
3 years ago
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