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shepuryov [24]
2 years ago
14

7+1=12(a - 1) SIMPLIFY PLEASE QUICK

Mathematics
1 answer:
weeeeeb [17]2 years ago
6 0
7+1=12(a - 1)

8=12(a-1)
 

\dfrac{8}{12}=a-1 

\dfrac{2}{3} = a-1 

\dfrac{2}{3}+1=a 

\dfrac{5}{3} = a
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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
10th grade Geo | What does JK equal?
ladessa [460]

Answer:

16

Step-by-step explanation:

6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.

4x=10

x=2.5

JM=15-7=8 and MK=5+3=8

8+8=16

4 0
2 years ago
Ms. Wilson surveyed her class of 36 students about their favorite ice cream flavors.
ruslelena [56]

Answer:

1 student.

Step-by-step explanation:

Two thirds of the students preferred chocolate ice cream:

2/3 of 36 is 24 students.

One fourth of the students preferred strawberry ice cream:

1/4 of 36 is 9.

9+24= 35

<em>--------------------------------------------------------------------------------------</em>

36-35=1

Only one student preferred vanilla ice-cream.

7 0
2 years ago
Read 2 more answers
What is the quadratic equation to this question
-BARSIC- [3]

Answer:

f(x) = 4x − 12

Step-by-step explanation:

It's not quadratic.  It's linear.  Each time x increases by 1, f(x) increases by 4.  So the slope is 4.  The y-intercept (when x=0) is -12.  The equation of the line is therefore:

f(x) = 4x − 12

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2 years ago
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Sholpan [36]

Answer:

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Step-by-step explanation:

Let's call the mystery number x.

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Hope this helps!

4 0
3 years ago
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