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3 years ago

What is the parallel to 2x-3y=6 and passing through(-3,1) ...?

1 answer:

5 0

Parallel lines have equal slopes.

$2x-3y=6
\\-3y=-2x+6
\\
\\y= \frac{2}{3} x-2
\\
\\m= \frac{2}{3}
\\
\\(-3,1) \Rightarrow x_1=-3,y_1=1
\\
\\y-y_1=m(x-x_1)
\\
\\y-1=\frac{2}{3}(x-(-3))
\\
\\y-1=\frac{2}{3}(x+3)
\\
\\y-1=\frac{2}{3}x+2
\\
\\3y-3=2x+6
\\
\\2x-3y+9=0$

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Kelly bought a computer that was 20% off the regular price of $1,060. If a 7% sales tax was added to the cost of the computer, w

fomenos

Answer: $ 1361.04

Step-by-step explanation:

Discount will be 1060 * 20% = 212

Sales price 1060 + 212 = 1272

Tax 7% = 89.04

Kelly paid 1272 + 89.04 = 1361.04

4 0

3 years ago

Expand and simplify (x+3)(x-4)

Vinvika [58]

Answer:

the following term =

$x { }^{2} - x - 12$

Step-by-step explanation:

here's the explanation in attached image.

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3 years ago

Read 2 more answers

Which logarithmic equation is equivalent to this exponential equation? <br><br> 12=5^x

Brut [27]

Given:

The equation is:

$12=5^x$

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

$a=b^x\Leftrightarrow \log_b a=x$

We have,

$12=5^x$

Here, $a=12,b=5$ . By using the above property of logarithm, we get

$\log_{5}12=x$

$x=\log_{5}12$

Therefore, the correct option is C.

5 0

3 years ago

HELP ME PLEASE I HAVE BEEN DOING THIS FOR TWO HOURS, I BEG OF YOU‍♀️‍♀️

BabaBlast [244]

Answer:

The first factor is itself the sum of two terms
The solution is the product of two factors

Step-by-step explanation:

The math symbols of the expression include parentheses, a plus sign, and a multiplication symbol. The order of operations tells you to do the "plus" operation inside parentheses first. The numbers involved in a "plus" operation, or sum, are called "terms." The result is their sum.

Then the second operation in the order of operations is to do the multiplication of the sum on the left of the multiplication symbol by the number to the right of the multiplication symbol. The numbers involved in multiplication are called "factors". The result of multiplication is called a "product."

Matching up this vocabulary with what you see, you realize ...

the first factor is the sum of two terms
the end result of evaluating the expression is the product of two factors

6 0

3 years ago

ABCD is a rectangle that represents a park. The lines show all the paths in the park. The circular path is in the center of the

djyliett [7]

Complete Question:

ABCD Is a rectangle that represents a park.

The lines show all the paths in the park.

The circular path is in the centre of the rectangle and has a diameter of 15m.

Calculate the shortest distance from A to C across the park,using only the lines shown.

*See attachment for the diagram showing the paths in the park.

Answer:

Shortest distance from A to C through the paths only = 102.9 m

Step-by-step explanation:

Length of park = 80 m

Width of park = 50 m

Diameter of the circular path in the center of the park = 15 m

Therefore:

Shortest distance between from A to C across the park if we're to follow only the lines showing the oaths would be = (length of diagonal AC - diameter of the circular path) + (½ of the circumference of the circular path)

✔️Use pythagorean theorem to find AC:

AC = √(80² + 50²) = √8,900

AC = 94.3398113 ≈ 94.34 m (nearest hundredth)

✔️Diameter of circular path = 15 m

✔️½ of the circumference of the circular path = ½(πd)

d = 15 m

½ of the circumference = ½(π*15) = 23.5619449 ≈ 23.56 m (nearest hundredth)

✔️Shortest distance = (94.34 - 15) + 23.56 = 79.34 + 23.56 = 102.9 m

5 0

3 years ago