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Katarina [22]
3 years ago
13

Input in standard form the equation of the given line.

Mathematics
1 answer:
mario62 [17]3 years ago
5 0
Use equation of line which passes through the 2 points A(x_1,y_1),B(x_2,y_2).

y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \\A(1,5),B(-2,3)
\\ y-5= \frac{3-5}{-2-1}(x-1)
\\y-5= \frac{2}{3} (x-1)
\\y-5=\frac{2}{3}x-\frac{2}{3}
\\3y-15=2x-2
\\-2x+3y=-2+15
\\-2x+3y=13
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What is the ratio a:b if 8a=3b?
Digiron [165]

The ratio a:b is 3:8

Step-by-step explanation:

In simple words, the ratio a:b means the fraction a/b.

So we will have to solve the given equation for a/b

Given

8a=3b

Dividing both sides by 8

\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}

Dividing both sides by b

\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}

The ratio a:b is 3:8

Keywords: Ratios, Fractions

Learn more about ratios at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

5 0
3 years ago
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in
CaHeK987 [17]

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

A = 6 * a ^ 2

where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

A = 6 * (4 ^ 2)

A = 96

96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

AT = 96 * 5

AT = 480 cm ^ 2

The surface area of the object formed with the cubes is 480 cm ^ 2

3 0
3 years ago
Length = 2 feet, width = 15 inches, height = 8 inches<br><br><br><br> V= _____________
I am Lyosha [343]
Volume = length * width ( aka base ) * height


2 feet = 24 inches.

24*15*8=2880 inches.
6 0
3 years ago
Read 2 more answers
Please Select the best answer from the choices provided
Yuri [45]
The answer is i'm sure B
4 0
3 years ago
Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
Ostrovityanka [42]
We have that an inverse variation in a function is given by:
 y = k / x&#10;
 We must find the value of the constant k.
 To do this, we substitute the values of x1 = 12, y1 = 15.
 We have then:
 15 = k / 12&#10;
 Clearing k we have:
 k = (15) * (12)&#10;&#10;k = 180
 Substituting the value of k we have that the inverse variation is:
 y = 180 / x&#10;
 For y2 = 3 we have:
 3 = 180 / x2&#10;
 Clearing x2 we have:
 x2 = 180/3
 x2 = 60
 Answer:
 
x2 = 60
3 0
3 years ago
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