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3 years ago

Which equation represents a line that is perpendicular to the line whose equation is -2y=3x+7

Mathematics

1 answer:

notsponge [240]3 years ago

8 0

Answer:

Any line with the slope of 2/3 would be perpendicular.

Step-by-step explanation:

To find this, first solve the equation for y.

-2y = 3x + 7

y = -3/2x - 7/2

Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes -2/3) and then we change the sign (-2/3 becomes 2/3)

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A theater has 60 seats on the front row. There are seven additional seats in each following row.

maksim [4K]

Answer:

(a) y(x)=53+7x

(b) 179

Step-by-step explanation:

Since the first row has 60 seats and next row has 7 additional seats then we can represent it as

First row=60

Second row=60+7=67

Third row=67+7=74

The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats

To get rhe number of seats in any row x then let y be the number of seats in row x

y=53+7(x)

For raw 1

Y=53+7(1)=60

For raw 2

Y=53+7(2)=67

Therefore, the formula for number of seats at any row will be

y(x)=53+7(x)

(b)

Using the above formula

y(x)=53+7(x)

Replace x with 18 hence

Y(18)=53+7*(18)=179 seats

5 0

3 years ago

All of the following are equivalent, except _____.

lianna [129]

Factor x as it is a common factor;
x(8+3)
=11x

4 0

3 years ago

Read 2 more answers

Shauna bought a flat cardboard box

bonufazy [111]

And? what about it?????

7 0

3 years ago

X^2+6x-19=0 pls helpppp

USPshnik [31]

Answer:

Step-by-step explanation:

Since this is not factorable, let's just complete the square:

$x^2+6x=19\\x^2+6x+9=28\\(x+3)^2=28\\x+3=\sqrt{28}\\x=2\sqrt{7}-3$

8 0

3 years ago

The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear funct

Zolol [24]

Answer:

Slope, m = 1100

y-intercept,c = 2491

Step-by-step explanation:

We are given the following in the question:

$y(x) = 1100x + 2491$

The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.

Comparing the above equation, to a general linear equation, we have,

$y = mx + c$

where m is the slope and c is the y-intercept.

Comparing we get,

Slope, m = 1100

y-intercept,c = 2491

Interpretation:

The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.

6 0

3 years ago