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3 years ago

Write an equation that contains points (0, 4) and is perpendicular to x-3y=-12

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

8 0

X-3(4)=-2
x-12=-2
So ya add the -12 to both side and you get X=10

Archy [21]3 years ago

3 0

Answer:

y= -3x+4

Step-by-step explanation:

x+12=3y

(x+12)/3 = y

slope =

$\frac{1}{3}$

the new slope = -3

Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b

4 = -3×(0) + b

b= 4

so y= -3x+4

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A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first the

Svetlanka [38]

Answer:

The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.

Let the hotel charge in first city before tax be $x.$

And the hotel charge in second city before tax be $y.$

<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>

<em>Thus</em>,

$y=x-1500$ ........(1)

<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>

6% of $x$ + 10% of $y$ = $670.

$\frac{6x}{100} +\frac{10y}{100} =670$

$0.06x+0.10y=670$

Substituting the value of $y$ from equation (1) we get:

$0.06x+0.10(x-1500)=670$

$0.06x+0.10x-150=670$

$0.16x-150=670$

<em>Adding both sides by 150 we get:</em>

$0.16x=820$

<em>Dividing both sides by 0.16 we get:</em>

$x=5125.$

<em>The hotel charge in first city before tax = $5125.</em>

Now, substituting the value of $x$ in equation (1) we get:

$y=x-1500$

$y=5125-1500$

$y=3625.$

<em>The hotel charge in second city before tax = $3625.</em>

Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

5 0

4 years ago

Use the figure to determine the measure of angle 1 if angle 5 is 60 degrees.

Vsevolod [243]

Answer:

the figure is missing. please provide the figure.

6 0

3 years ago

Suppose you bought a pizza for $8.00. You also bought a salad but you can not remember how much you paid and you can not find th

Darina [25.2K]

The best equation would be A.

with A you get to calculate what is the value of $.

8 + $ = 10 (10 is the total value of your receipt and 8 is the price of pizza)
$ = 10 - 8 (we transfer the price of pizza on the other side to the total amount of your receipt and calculate the remaining amount)
$ = 2

We see that the remaining amount is 2$, which means the salad cost s2$ :)

7 0

4 years ago

HELP QUICK!!!! PLEASE!

Tresset [83]

Answer:

Linear function

Step-by-step explanation:

<h2> $y = \frac{x}{2} - 5$ </h2><h3>Linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.

<h2> $y = \frac{2}{x} + 3$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1

, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {2}^{x} - 1$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {x}^{2} + 7$ </h2><h3>Not linear function</h3>

<h3>Hope it is helpful...</h3>

6 0

3 years ago

I am stuck please help meeee!!!! Due Tomorow

Verizon [17]

Answer:

13 full rows

Step-by-step explanation:

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8 0

3 years ago