What is 17x+13y=8y simplified? Explain please!

Mathematics

1 answer:

larisa [96]4 years ago

5 0

17x= 13 and 8 are both y's so you combine them by subtracting 13 from both sides and then you have 17x=-5y

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IrinaK [193]

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7 0

3 years ago

the graph of a line in the xy-plane has slope of 7 and contains the point(6,28). A second line passes through the points (3,7) a

Maslowich

Answer:

x = 3

Step-by-step explanation:

We require the equations of the 2 lines.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

The line has slope = 7, hence

y = 7x + c ← is the partial equation

To find c substitute (6, 28) into the partial equation

28 = 42 + c ⇒ c = 28 - 42 = - 14

y = 7x - 14 → (1)

Calculate the slope of the second line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (- 1, - 13)

m = $\frac{-13-7}{- 1-3}$ = $\frac{-20}{-4}$ = 5, thus

y = 5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 7), then

7 = 15 + c ⇒ c = 7 - 15 = - 8

y = 5x - 8 → (2)

Solving (1) and (2) by equating the right sides

7x - 14 = 5x - 8 ( subtract 5x from both sides )

2x - 14 = - 8 ( add 14 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

The x- coordinate of the point of intersection is x = 3

6 0

3 years ago

A triangular prism has a base that is 6 cm by 4 cm and a height of 8 cm. If all dimensions are tripled, what happens to the volu

lana [24]

Im assuming the base of the triangle is 4cm. The volume is $96cm^{3}$ .
If the dimensions are tripled, the base is 12, the height is 24, and the length is 18. The volume is $2592cm^{3}$ , which is 27 times bigger.
If you are increasing each side by a factor of x, you are multiplying the original by $x^{3}$