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Fiesta28 [93]
3 years ago
14

What is the result of subtracting the second equation from the first? \begin{aligned} -7x-y &= 0 \\\\ 7x+8y &= -6 \end{a

ligned} −7x−y=0 7x+8y=-6 ​ =0 =−6 ​
Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

-14x-9y=6

Step-by-step explanation:

We are given with two equations

first equation is  -7x-y=0

second equation is

7x+8y=-6

we find the result of subtracting two equation

subtract the second equation from the first, so

first equation - second equation, multiply second equation by -1  and then add it with first equation

-7x-y=0

-7x-8y=+6

Now add both equations, we get

-14x-9y=6

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4 0
3 years ago
Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Tasya [4]

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.  

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3).  The negative inverse is (3/2), which will be the slope of a perpendicular line.  We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular.  But we want a value of b that will shift the line so that it intersects the point (-3,-5).  Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

6 0
2 years ago
Below are monthly rents paid by 30 students who live off campus.
Hatshy [7]
What is the question
6 0
1 year ago
What is 7/45 simplified
Akimi4 [234]

Answer:

it can not go any more

Step-by-step explanation:

7/45 is the simplified terms

8 0
3 years ago
A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3.645 grams. What is the density of this cube?
ehidna [41]

Answer:

density =  \frac{mass}{volume}

mass = 3.645 g

volume = 9×9×9

= 729 cm³

density = 3.645/729

= 0.005 gcm^-3

Step-by-step explanation:

the volume is 729 cm³ cause the given height is 9cm and it is a cube. cube has equal sides so their lengths are the same.

volume = length × height × width

8 0
3 years ago
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