MATHEMATICS HIGH SCHOOL

Which equation represents a line that is parallel to the line whose equation is 2x+3y=12?1. 6y-4x=2
2.6y+4x=2
3. 4x-6y=2
4. 6x+4y=-2

Answers

Answer 1
Answer: 2x+3y=12\n3y=-2x+12\ /\ :\ 3\ny=-\frac23x+4\na=-\frac23

1.

6y-4x=2\n6y=4x+2\ /\ : 6\ny=\frac23x+\frac13\na=\frac23

2.

6y+4x=2\n6y=-4x+2\ /\ : 4\ny=-\frac23x+\frac13\na=-\frac23

3.

4x-6y=2\n-6y=-4x+2\ /\ : (-6)\ny=\frac23x-\frac13\na=\frac23

4.

6x+4y=-2\n4y=-6x-2\ /\ : 4\ny=-1,5x-0,5\na=-1,5

Answer: 2
Answer 2
Answer:

Answer:

2

Step-by-step explanation:

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Find the distance between the pair of points. Round to the nearest tenth, if necessary.

Answers

Answer:   6.7

Explanation

The two points in the diagram are (-2,-3) and (4,0).

We can form a right triangle and then compute the hypotenuse (using the pythagorean theorem). As a slightly related method, I'll use the distance formula.

(x_1,y_1) = (-2,-3) \text{ and } (x_2, y_2) = (4,0)\n\nd = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\n\nd = √((-2-4)^2 + (-3-0)^2)\n\nd = √((-6)^2 + (-3)^2)\n\nd = √(36 + 9)\n\nd = √(45)\n\nd = √(9*5)\n\nd = √(9)*√(5)\n\nd = 3√(5)\n\nd \approx 6.708204 \ \ \leftarrow \ \text{ you'll need a calculator}\n\nd \approx 6.7

The approximate distance is 6.7 units

What does mean stand for

Answers

When you add numbers together  and you divide it by the number of numbers you added is your mean. Like if you get  a 90 and 91  You add them  and divide it by 2 and that will be your mean. 
If you have a set of numbers, add all the number up and divide them by how many numbers you have. Hope that helps!:) 

the width of a rectangle is 33 centimeters. the perimeter is atleast 776 centimeters. write and solve an inequality to find the possible lengths of the rectangle

Answers

length is x
p=(33+x)2
(33+x)2 ≥ 776
66+2x ≥ 776
2x ≥ 710
x≥ 355
 so the length of the rectangle equals to or is greater then 355:))))

Answer:

2(33) + 2ℓ ≥ 776; ℓ ≥ 355; A ≥ 33(355)

Step-by-step explanation:

because

2times 33 is 66

776-66 is 710

710 divided bye 2 is 335

and area is A≥33(355) because area of rectangle is A=33(355)

Plus I just got it right on my quiz.

pen has 1/2 cup and 1/8 cup measuring cups. What are two ways he could measure out 1 3/4 cups of flour.

Answers

There are numerous ways he could do this, but for example, let's take two ways which are common:

1) He could take the 1/2 cup twice which equals 1, and then he could measure 6 of 1/8 cups which would be 6/8 or 3/4. 

2) Way number two could be if he took the 1/2 four times, which would give him 2, and then he could remove 2 1/8 cups out of the 2 which would give him 1 3/4.

A normal curve with a mean of 500 and a standard deviation of 100 is shown. Shade the region under the curve within one standard deviation of the mean. How much of the data falls within the shaded region?

Answers

Answer:

The region between one standard deviation from the mean is (400,600) which should be 68.27% of the data.

Step-by-step explanation:

The mean of this data set is 500 and the standard deviation is 100. The data that are within one standard deviation of the mean, must be in the range between 400 and 600, which according to the normal curve should be about 68.27% of the samples. The shaded region is shown in red on the attached figure.

Josh's gross pay was 320.00 this week. How much in FICA will be withheld from his check

Answers

Given:
gross pay for the week: 320

FICA - Federal Insurance Contribution Act
Social Security Tax = 6.2% of his wages
Medicare Tax = 1.45% of his wages

SST = 6.2% * 320 = 19.84
MT = 1.45% * 320 =   4.64

Total FICA withheld = 19.84 + 4.64 = 24.48
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