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3 years ago

State whether the lines are parallel, perpendicular, coinciding, or neither: 6x+3y=–15 and y–3=–2x

Mathematics

1 answer:

lianna [129]3 years ago

4 0

Answer:

Parallel

Step-By-Step Explanation:

Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15

6x+3y = 15

3y = -6x + 15

3y/3 = -6x/3 + 15/3

y = -2x + 5

We can see that the slope of 6x+3y = 15 is -2

Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x

y–3=–2x

y = -2x + 3

Here are our two Functions In Slope Intercept Form

y = -2x + 5

y = -2x + 3

Remember the m = slope and the b = y-intercept

y = mx + b

y = -2x + 5

y = -2x + 3

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We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.

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Line segment TS is tangent to circle O at point N.

garik1379 [7]

Answer:

148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

arc QN = 2(74°) = 148°

_____

Comment on the question and answer

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.

7 0

3 years ago

Someone help me brainliest pls don’t answer if you don’t know

NARA [144]

Answer:

hola mami estas bien bonita jejejeje

6 0

2 years ago

Read 2 more answers

Which represents the solution of the graphed system of equations, y=x^2-2x and y=-2x-1

elena55 [62]

Answer:

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

Step-by-step explanation:

The solution to the system of equations is at the point where they intercept each other.

y1 = y2

For the given equation;

y=x^2-2x and y=-2x-1

To get the where they intercept, we will equal both equations;

y=x^2-2x = -2x-1

x^2 - 2x = -2x - 1

x^2 - 2x + 2x + 1 =0

x^2 +1 = 0

x^2 = -1

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

6 0

3 years ago

Solve the system by the addition method 4x=3y-8 -16x+4y=32

butalik [34]

4x = 3y - 8
4    4
x = ³/₄y - 2

      -16x + 4y = 32
   -16(³/₄y - 2) + 4y = 32
-16(³/₄y) + 16(2) + 4y = 32
      -12y + 32 + 4y = 32
      -12y + 4y + 32 = 32
      -8y + 32 = 32
   - 32 - 32
      -8y = 0
   -8 -8
   y = 0
x = ³/₄y - 2
x = ³/₄(0) - 2
x = 0 - 2
x = -2

(x, y) = (-2, 0)

6 0

3 years ago

For a fundraiser , Brad sold 2 less than 3 times the number of candy bars calls that Mary did . If they sold 334 total bars, fin

marysya [2.9K]

$x-\ Mary\\
3x-2-\ Brad\\\\
x+3x-2=334\\
4x-2=334\ \ |add\ 2\\
4x=336\ \ | divide\ by\ 4\\x=84\\
3x-2=3*84-2=252-2=250\\\\
Brad\ sold\ 250\ bars\ and\ Mary\ sold\ 84\ bars.$

8 0

2 years ago