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Sliva [168]
3 years ago
9

Write an equation of the line that goes through the point (6, 12) and has a slope of 2 3 .

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

3y = 2x + 24

Step-by-step explanation:

The correct question is as follows;

Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3

Solution

Here, we have a point and a slope, and we want to write the equation of the line

The method we shall use here is the point slope method

Mathematically, that will be;

y-y1 = m(x-x1)

(x1,y1) = (6,12)

m = 2/3

y-12 = 2/3(x-6)

3(y-12) = 2(x-6)

3y-36 = 2x - 12

3y = 2x -12 + 36

3y = 2x + 24

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5(3-x)-4(2-3x)>2 what is the inequality of x
GREYUIT [131]

Answer:

6547

Step-by-step explanation:

6 0
3 years ago
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
Solve for m and show your work. 4n=3m-1
Bad White [126]
4n = 3m - 1

4n = 3m - 1
Subtract 3m from both sides.
-3m + 4n = -1
Subtract 4n from both sides.
-3m = -4n - 1
Divide both sides by -3.
m = 4/3n + 1/3

m = 4/3n + 1/3
4 0
3 years ago
Read 2 more answers
Kiri has red and white roses in groups of 8. She has x groups of red roses and y groups of white roses. Which expression shows t
Marizza181 [45]

Answer:

8x+8y

Step-by-step explanation:

red roses = 8 × x = 8x

white roses = 8 × y = 8y

total= 8x+8y

7 0
2 years ago
A farmer plows a corn field in the shape of a rectangle that has an area of 15840 square yards if the length of the field is 132
igomit [66]

Answer:

<u>Width= 120</u>

<u />

Step-by-step explanation:

We know that <u>L*W= A</u>

So lets put in the variables we know into the equation.

<u>L= 132 yards</u>

<u>A= 15840</u>

132 * W= 15840

All we need to do is <u>divide 15840 by 132</u>

<u>15840/132= 120</u>

<u>W=120</u>

5 0
2 years ago
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