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Lorico [155]
3 years ago
13

Given the equation y-4=(X+8) in point-slope form, identify the equation of the same line in standard form.

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Given:

The equation in point slope form is

y-4=\dfrac{3}{4}(x+8)

To find:

The equation of the same line in standard form.

Solution:

Standard form of a line is

Ax+By=C

We have,

y-4=\dfrac{3}{4}(x+8)

Multiply both sides by 4.

4(y-4)=3(x+8)

4y-16=3x+24

Isolate variable terms.

-3x+4y=16+24

-3x+4y=40

Multiply both sides by -1.

3x-4y=-40

Therefore, the correct option is B.

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Which types of polygons are the faces of a octahedron?
ira [324]

Answer:

Each face of an octahedron is an equilateral triangle.

An octahedron is a three-dimensional solid (polyhedron) that has eight faces.

I hope this helped ! <3



8 0
4 years ago
Read 2 more answers
Check the solution.
Julli [10]

Answer:

Both equations, when we replace the solution, generate identities.

Step-by-step explanation:

We are given the following system:

y = x - 7

y = -4x + 3

We are given the following solution.

(2,-5).

First equation:

We have to show that when x = 2, y = -5. So

y = x - 7

-5 = 2 - 7

-5 = -5

So ok

Second equation

We have to show that when x = 2, y = -5. So

y = -4x + 3

-5 = -4(2) + 3

-5 = -8 + 3

-5 = -5

We generate both identities, so the solution is checked.

5 0
3 years ago
What is the definition of i? What do we use it for?
SSSSS [86.1K]
I is an imaginary number used to find the square root of a negative number.
sqrt-1 is 1i
sqrt-16 is 4i and so on
5 0
4 years ago
How do I find the surface area?
vagabundo [1.1K]

Alright, buckle in because this will be a bit of a bore to listen to.

First, find the areas of all surfaces that you have the length and width of, which i assume you already have.

Next, use the Pythagorean theorem to find the missing measure of that triangle to find the measure of it and the back. make sure to find ALL of the sides, including the ones on the backside of the figure. Too lazy to do it myself, but at least you know how i'd do it.

3 0
3 years ago
A sea turtle swims at a speed of 27 kmh. A girl swims 14 dm per s.
lana66690 [7]
To compare the speed for the both of them, it would be helpful to convert the units to the same units in this case to units of  meters per minute. We calculate as follows:

27 / 60 minutes = 0.45 km/minute
0.45 × 1000 = 450 m/minute


14 x 60 = 840 dm/minute
840 / 10 = 84 m/minute

450 - 84 =<span> 366 m/minute faster than the girl</span>
5 0
3 years ago
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