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yawa3891 [41]
2 years ago
7

Write the equation of the line with a slope of 1/5 that passes through the point (20,5)

Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

y =  \frac{1}{5} x + 1

Step-by-step explanation:

the general equation of a line is y=mx+c

because the slop is 1/5, the equation of this line would be

y =  \frac{1}{5} x + c

with the coordinates (20,5) , take 20=x and 5=y

and substitute these values into the equation above.

you should get:

5= 4 + c

so c = 1

therefore, the equation of the line is:

y =  \frac{1}{5} x + 1

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what is the volume of a cone if the radius is 6mm and the height is 4mm. Round your answer to the nearest tenth. use 3.14 for pi
Vladimir79 [104]

Answer:

163.2 cubic millimeters (or) 163.2 mm^3

Step-by-step explanation:

Given: Radius of cone= 6mm

Height of cone= 4mm

π= 3.14(Approximately)

Required: Volume(V)

Volume of cone= 1/3* π* r^2 * h

Volume= 1/3* (3.14) * (6 m)^2 * (4m)

= 1/3* (3.14) * (36) * (4)

= 163.2 mm^3

Therefore, the Volume of the cone is 163.2 mm^3 (to the nearest tenth) :)

5 0
2 years ago
Solve for x. State any restrictions on the variables. <br> ax + bx - 1 = 8
MrRissso [65]

Answer:

d.   x = 9 / (a + b)   a ≠ -b.

Step-by-step explanation:

ax + bx - 1 = 8

x(a + b) - 1 = 8

x(a + b) =  9

x = 9 / (a + b)   a ≠ -b.

3 0
3 years ago
Question 27(Multiple Choice Worth 1 points)
Bezzdna [24]

Answer:

none

Step-by-step explanation:

any value on y cancel 4y and then we will have -12=12 which is not true.

3 0
3 years ago
(05.01)Which equation can be used to calculate the area of the shaded triangle in the figure below?
Marina86 [1]

Equation of shaded triangle is \frac{1}{2} (14\times8).

Solution:

Length of the rectangle = 14 ft

Breadth of the rectangle = 8 ft

Area of the rectangle = length × breadth

                                    = 14 × 8

In this rectangle the diagonal splits the rectangle into two equal halves.

Area of the shaded triangle = Half of area of rectangle

                                              $=\frac{1}{2} (14\times8)

Area of the shaded triangle = \frac{1}{2} (14\times8)

Hence the equation can be used to calculate the area of the shaded

triangle is \frac{1}{2} (14\times8).

7 0
3 years ago
155%of 80 is what number
brilliants [131]
Recall that the conversion of 155% to decimal is to divide by 100. Thus, 155%=1.55.

Now, multiply this by 80: 1.55 * 80=124

So our answer is 124.
8 0
3 years ago
Read 2 more answers
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