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mash [69]
3 years ago
10

Determine the slope of the line 5x-3y-12=0

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

slope of the line=5/3

Step-by-step explanation:

The general slope-intercept form of a line is given by,

y=mx+c

where, m is the slope of the line and c is the y-intercept

5x - 3y - 12 = 0

- 3y = 12 - 5x

3y =  - (12 - 5x)

3y = 5x - 12

y =   \frac{5x - 12}{3}   =  \frac{5}{3} x - 4

Here, m=5/3

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There are 750 student at a school If each Classroom hold 30 and student how many classrooms are needed at th
Ilia_Sergeevich [38]

Answer:

25 classrooms.

Step-by-step explanation:

750 divided by 30 Is 25.

Thanks for asking the question.

8 0
3 years ago
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What's the product of 12.34•0•74.91 ?
Eduardwww [97]
Because there is a zero in the expression 12.34 * 0 * 74.91 the product is 0.
4 0
3 years ago
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The diagram shows the entrance to a tunnel.
gladu [14]

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

= 3.897114317... m²

a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

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5 0
2 years ago
Question:
Andrew [12]

Answer:

(0, -9)

Step-by-step explanation:

The y intercept is the y value when x =0

(0, -9)

4 0
3 years ago
Consider the function f(x)=x3+3x2â51x+91. What is the remainder if f(x) is divided by (x+9)? Do not include (x+9) in your answer
makkiz [27]

Answer:

The remainder is 64

Step-by-step explanation:

Consider the function f(x)=x^3+3x^2-51x+91

Use synthetic division to divide by x+9

x+9=0, x=-9

divide the given f(x) by -9 using synthetic division

-9               1           3       -51       91

                  0          -9     54        -27              

         --------------------------------------------------

                  1           -6      3         64

The remainder is 64

                 

         

5 0
3 years ago
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