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ella [17]
3 years ago
12

Determine the equation of the line with slope 3 that passes through the point M(1, 2).

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

Step-by-step explanation:

We are given the slope along with an (x, y) coordinate with which to write the equation.  You could use this info in the slope-intercept form and solve for b, or you could use this info in the point-slope form and solve it for y.  Trust me when I tell you that either one will get you the correct equation.  Promise!  I used the point-slope form, just because.  ; )

y - 2 = 3(x - 1) and

y - 2 = 3x - 3 and

y = 3x - 1 OR in standard form, we will put the x and y terms on the same side of the equals sign, separated from the constant:

-3x + y = -1.  But if we get picky and do not like to lead with negatives, we could change ALL the signs to their opposites (which is the same as multiplying the whole thing by a -1) to get

3x - y = 1 which is the third choice down.

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The graph shows a line and two similar triangles.
Ulleksa [173]

Answer:

y= 5/3x

Step-by-step explanation:

m= rise/run

up 5, right 3

the slope is 5/3 and the y-intercept is 0

6 0
3 years ago
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Find the slope (m) of the line using the origin, (0,0) and the point (2,8)
JulijaS [17]

Answer:

m=4

Step-by-step explanation:

m = y2 - y1/x2 - x1

(y2=8, y1=0, x2= 2, x1=0)

m = y2 -y1/x2 - x1

= 8 - 0/2 - 0

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3 years ago
A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counse
Olegator [25]

Answer:

a)

Lowell: 4 counselors

Fairview: 9 counselors

b)

2 new counselors

Step-by-step explanation:

How many counselors should be assigned to each school using Hamilton's method?

Number of students

Lowell: 3584  

Fairview: 6816

Total number of students: 10400

Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800

<u>Temporal assignment</u>

3584/800 = 4 + 0.48 ==> 4 counselors for Lowell

6816/800 = 8 + 0.52 ==> 8 counselors for Fairview

There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.

<u>Final assignment</u>

Lowell: 4 counselors

Fairview: 9 counselors

The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school

1824/800 = 2 + 0.28

<em>Two new counselors should be hired.</em>

3 0
3 years ago
Please help me! thanks :)
inna [77]
The sum of the measures of the angles of a triangle is 180 degrees.

Angles STU and STR are supplementary angles.
Angles R and STR are congruent.

m<STU + m<STR = 180

8x + m<STR = 180

m<STR = 180 - 8x

m<R = m<STR = 180 - 8x

m<RST + m<R + m<STR = 180

7x - 54 + 180 - 8x + 180 - 8x = 180

-9x + 360 = 180

-9x = -126

x = 14
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4 years ago
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A crate made of wood measures 50 cm wide, 70 cm long, and 40 cm tall.
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The surface area of the crate is the summation of all the areas of its six faces. The area of the two of its faces is the product of 50 cm and 70 cm which is 3500 cm^2. The other will have an area of 2000 cm^2. The last two will have the area of 2800 cm^2. Thus, the unit of measurement used to figure out the surface area is the cm^2. The answer is letter A. cm2
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