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Artyom0805 [142]
3 years ago
12

Consider the following pair of equations:

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0
Y=x+4 and y=-2x-2  When they are equal it follows that y=y at that point as well so we can say:

x+4=-2x-2  add 2x to both sides

3x+4=-2  subtract 4 from both sides

3x=-6  divide both sides by 3

x=-2, now we can use this value in either original equation to solve for y.     
y=2
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How do you solve this?
Fynjy0 [20]
X-3y+z=-15
X=-15+3y-z
Is it what you asking about?
4 0
3 years ago
Uma wants to buy a video game system for $270. She has $60 and is saving $30 each week. Solve the equation 30w + 60 = 270 to fin
Damm [24]

Answer:

C.7 weeks

Step-by-step explanation:

Subtract 60 on both sides then you get: 30w=210, then divide both sides and you get w=7, so it'll take 7 weeks

8 0
3 years ago
Read 2 more answers
PLZ PLZ HELP!!!!!! The expression cos(A+pi) - sin(A + pi) can be simplified to
artcher [175]
Sin(A+B) = SinACosB + CosASinB
Cos(A+B) = CosACosB - SinASinB

Note pi is taken as pi radians = 180 degrees.    Cospi = Cos180 = -1.
                                                                                       Sinpi  = Sin 180 = 0

Cos(A+pi) = CosACospi - SinASinpi =  (CosA) * (-1) - (SinA) *(0) = -CosA.
Sin(A+pi) = SinACospi + CosASinpi  =  (SinA)* (-1) + (CosA) * (0) = -SinA.

Cos(A+pi) - Sin(A+pi) = -CosA - -SinA = -CosA + SinA = SinA  - CosA.

Answer = (a).

3 0
4 years ago
I know the answer is 1 but I need to show it with positive and negative tiles and I don’t know what to put.
stira [4]

Answer and Step-by-step explanation:

So, the negatives cancel and turn into a positive.

The red squared of 5 become green squares.

5 0
3 years ago
Pleeeeese help me as fast as you can!!!
Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
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