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k0ka [10]
3 years ago
7

G-GPE-S & G-GPE-7: Practice_2

Mathematics
1 answer:
mezya [45]3 years ago
6 0

The required equation is y = -9

Step-by-step explanation:

Step 1 :

Given the line l is perpendicular to the y axis

The equation of the y axis is x = 0

So any line perpendicular to the y axis will have equation as y = k , where k is a constant value for any value of x

Step 2 :

Its given that the line is passing through the point  (0.-9). Here the y co ordinate is -9. Hence the perpendicular line has a constant y co ordinate of y = -9 for any value of x

So the required equation is y = -9

Step 3 :

Answer :

The required equation is y = -9

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Twice the sum of five and x is eight less than x
Anna007 [38]
We need to express this statement into a equation:

First of all. We will walk through the statement step by step into a mathematical language, so:

1. The sum of five and x:

x + 5

2. Twice the sum of five and x:

2(x + 5)

3. Eight less than x:

(x-8)

     Finally the whole statement is:

4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
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4 0
3 years ago
Enter the sum of numbers as a product of their GCF. 75 + 30 The sum of the numbers as a product of their GCF is
Oksanka [162]

Answer: 75+30 = 15 x 7

Step-by-step explanation:

The given expression is 75+30 (=105) which defines the sum of 75 and 30.

Prime factorization of 75 and 30 are as below:

75 = 5 x 5 x 3

30 = 5 x 3 x 2

GCD (75,30) = 5x 3 = 15  [Note: GCD = Greatest common divisor]

Consider 75+30 = (15 x 5) + (15 x 2)   [75 = 15 x 5 and 30= 15 x 2]

=  15 (5+2)   [taking 15 as common ]

= 15 x (7)

(=105)

So,  75+30 which is sum of the numbers and it is expressed as 15 x 7 which  a product of their GCF.

7 0
3 years ago
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vichka [17]
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7 0
3 years ago
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Find the solution of the system of the equations 7x+14y=35 -2x-2y=-8
grandymaker [24]

Answer:

(x,y)=(309/7,-317/14) If you ever get stuck on similar problems I recommend using the photomath app.

Step-by-step explanation:

4 0
2 years ago
consider the function represented by the equation 16b = 4r - 12. write the equation in function notation, where b is the indepen
katovenus [111]

When you write a function in the form y=f(x), y is the dependent variable, and x is the independent variable.

So, if b is the independent variable, it means that we have to solve the expression for r.

To do so, we perform the following steps: start with

16b = 4r - 12

Add 12 to both sides

16b+12 = 4r

Divide both sides by 4:

4b+3 = r

So, we wrote the expression in the form r = f(b) = 4b+3, which means that r is the dependent variable and b is the independent variable, as requested.

4 0
3 years ago
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