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Art [367]
3 years ago
10

Factor the expression using the GCF 1. 27K-6 2. 5x+60y

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

1. 3(9K-2)

2. 5(x+12y)

Step-by-step explanation:


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7x-6y=15<br> -9x+6y=-9 Please help out
olga55 [171]

Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*x-6*y-(-15)=0

Step by step solution :

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Step 1 :

Equation of a Straight Line

1.1 Solve 7x-6y+15 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 7x-6y+15 = 0 and calculate its properties

Graph of a Straight Line :



Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/2 so this line "cuts" the y axis at y= 2.50000

y-intercept = 15/6 = 5/2 = 2.50000
Calculate the X-Intercept :

When y = 0 the value of x is -15/7 Our line therefore "cuts" the x axis at x=-2.14286

x-intercept = -15/7 = -2.14286
Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.500 and for x=2.000, the value of y is 4.833. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.833 - 2.500 = 2.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 2.333/2.000 = 1.167
Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
7 0
3 years ago
Read 2 more answers
I need help pleas thank you
sergejj [24]
X=275+55= 330 biked

y=275-55= 220 bus
7 0
3 years ago
2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.812.732.513.093.28 3.512.861.203.133.2
Dmitry_Shevchenko [17]

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

6 0
3 years ago
A driveway is 40 yards long about how many meters long is it
aliya0001 [1]
36.576 meters long is how long it would be
6 0
3 years ago
Read 2 more answers
How many times bigger is 5 with an exponent of 26 compared to 5 with an exponent of 22?
Gekata [30.6K]

Answer:

Step-by-step explanation:

if we have 5^22 and 5^26

5^26= 5^22 x5^4

5^26 is bigger by the number 5^4

5 0
3 years ago
Read 2 more answers
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