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3 years ago

What is the solution to the system of equations l? y= 1/2x-6 x=-4

Mathematics

1 answer:

alina1380 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

$y=\dfrac{1}{2}x-6\\\\x=-4\\\\\text{Put the value of x to the first equation:}\\\\y=\dfrac{1}{2}(-4)-6\\\\y=-2-6\\\\y=-8$

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20 divided by 4 - 5+12

likoan [24]

The answer is 12. you first divide 20 by 4 and get 5. then you subtract 5 by 5 and get 0. then you add 12 plus 0 and get 12

Hope I Helped :D

7 0

3 years ago

Read 2 more answers

The slope of a line that is parallel to each line whose equation is given

Kobotan [32]

Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8

slope of a line that is parallel = -3/8

2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4

slope of a line that is parallel = -5/4
--------------------
perpendicular, slope is opposite and reciprocal

3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3

4)
x = -7, slope is undefined
so slope of perpendicular line is 0

5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2

5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3

slope is opposite and reciprocal, so the equals are perpendicular

6)
3x + y = 5
y = -3x + 5; slope = -3

6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3

both have slope = -3 so equations are parallel

3 0

3 years ago

Andrea made a replica of the Empire State Building. The surface area of the model is 45 ft2. What is the surface area of the act

melamori03 [73]

Answer:

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Surface area of the Empire State building replica = 45 square feet

Scale factor = 44

2. What is the surface area of the actual Empire State Building in square feet?

For answering the question, we will make the following calculations:

45 square feet = 9 feet * 5 feet or,

45 square feet = 10 feet * 4.5 feet, or,

45 square feet = 20 feet * 2.25 feet.

Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:

(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²

(10 * 44) * (4.5 * 44) = 440 * 198 = 87,120 ft²

(20 * 44) * (2.25 * 44) = 880 * 99 = 87,120 ft²

<u>As we proved, no matter what are the lengths of the sides of the surface area of the replica. after applying the scale factor, the result is the same: 87,120 ft²</u>

6 0

3 years ago

This person did something wrong and I do not know what it is :( Please help this is for points!

Inga [223]

Answer:

It is, indeed, a reduction. But, the scale factor of the dilation should be a fraction instead of a whole number, since the shape has shrunk.

Instead of $\frac{KN}{K'N'}$ , it should be $\frac{K'N'}{KN}$ . That would make it (4 - 2) / (8 - 4) = 2 / 4 = 1/2.

Hope this helps!

7 0

3 years ago

Helppppppp pleaseee

Viktor [21]

Answer:

$x=2\sqrt{5}$

Step-by-step explanation:

If that is a square, then all sides are the same. Therefore, it's a $\sqrt{10}$ by $\sqrt{10}$ shape. We'll use Pythagorean Theorem to find the diagonal.

$a^2+b^2=c^2\\\sqrt{10}^2+ \sqrt{10}^2=x^2\\10+10=x^2\\20=x^2\\\sqrt{20}=x\\\sqrt{4*5}=x\\ 2\sqrt{5}=x$

Since it's not a fraction, there is no denominator to rationalize. Let me know if you have any other questions!

5 0

2 years ago