Which system of equations below has exactly one solution?

y = –8x – 6 and y = –8x + 6

y = –8x – 6 and One-halfy = –4x – 3

y = –8x – 6 and y = 8x – 6

y = –8x – 6 and –y = 8x + 6

Answer: yes it does

Step-by-step explanation:

When you graph it on a graph piece of paper it is a right triangle

Answer:

2.1 , 7.2 , 7.5 does NOT make a right triangle

Step-by-step explanation:

acute     [tex]c^{2} < a^{2} + b^{2}[/tex]

obtuse    [tex]c^{2} > a^{2} + b^{2} \\[/tex]

right angled   [tex]c^{2} = a^{2} + b^{2}[/tex]

c is the hypotenuse

a and b are the adjacent and the opposite

the values given are 2.1  , 7.2  , 7.5

hence :

c would be 2.1

a would be 7.2

b would be 7.5

now we can put this into the right angled triangle formula to see if its correct.

[tex]c^{2} = a^{2} + b^{2}[/tex]

lets first see the value of [tex]a^{2} + b^{2}[/tex]

= 7.2^2  +  7.5^2

[tex]a^{2} + b^{2}[/tex] = 108.09

to check if its a right angled triangle we check if the value of c^2 gives 108.09.

find the value of [tex]c^{2}[/tex]

= 2.1 ^2

[tex]c^{2}[/tex] =4.41

hence 4.41 is NOT equal to 108.09

hence its not a right angled triangle but rather an acute angle.

Answer:

2 balls/ft²

Step-by-step explanation:

The area of the gym is:

A = (100 ft) (60 ft)

A = 6,000 ft²

The population density is:

D = 12,000 balls / 6,000 ft²

D = 2 balls/ft²

Final answer:

To calculate the population density of balls in a gym, divide the total number of balls by the gym's area in square feet. In this case, with 12,000 balls and a gym of 6,000 square feet, the population density is 2 balls per square foot.

Explanation:

The question involves calculating the population density of balls in a gym. First, we need to find the area of the gym to understand the space these balls will occupy. The gym is 100 feet long and 60 feet wide, thus its area is 100 * 60 = 6,000 square feet.

Next, we're told there are 12,000 balls available in the gym. To find the population density of the balls, the number of balls is divided by the area of the gym. So, the population density is 12,000 balls divided by 6,000 square feet, which equals 2 balls per square foot.

Answer:

3649

Step-by-step explanation:

x * 0.1 = 364.9

x = 364.9 / 0.1 = 364.9 * 10

x = 3649

Answer:

(-5, 4)

Step-by-step explanation:

if you are moving up and down only the y part of the coordinate will change so 5 going 6 down would put you at -1 then going 5 up would put you at 4

Final answer:

Starting at (-5, 5), moving down 6 units and then up 5 units results in a final position of (-5, 4).

Explanation:

If you start at the point (-5, 5) and then move down 6 units, your vertical position decreases by 6. That means you subtract 6 from 5, the y-coordinate, resulting in -1. However, if you then move up 5 units, you're adding 5 back to your y-coordinate. So, you take -1 and add 5, which results in 4. Your final position then is still at the same x-coordinate, -5, but with a new y-coordinate of 4. Therefore, the point you end up at is (-5, 4).

Answer:

3.51359276e83

Step-by-step explanation:

3.51359276e83

Answer:

x = 3

Step-by-step explanation:

x + x + x + 2 + x + 2 = 16 (combine like terms)

4x + 4 = 16 (subtract 4 from each side)

4x = 12 (divide each side by 4)

x = 3

Let's check:

(3 + 2) × 2 = 10

3 × 2 = 6

10 + 6 = 16

It works.

Answer:

length= 5 km

Width=3 km

Step-by-step explanation:

Length=Width+2

L=W+2

Perimeter = 16 km

Perimeter of the rectangular field = 2(Length+Width)

                                     [tex]16 = 2*(Width+2+Width)\\\16=2(W+2+W)\\\\16=2(2W+2)\\\\16/2=2W+2\\\\8=2W+2\\\\2W=8-2\\\\2W=6\\\\W=6/2\\\\W=3 km[/tex]

Length(L)=Width+2= 3+2=5 km

length= 5 km

Width=3 km

Answer:

median

Step-by-step explanation:

The median is the best description of the high temperature. The outlier of 84 degrees raises the mean.

Answer: 5/3

Step-by-step explanation: Parallel lines have the same slope.

So, a parallel slope would be 5/3

Hope this helped!

Average speed of the car is 29.85 miles/hr

Step-by-step explanation:

Speed = Distance/Time = 20.5/0.67 = 29.85 miles/hr

Answer:

[tex]\frac{65}{16}[/tex] or 4.0625

Step-by-step explanation:

To solve this problem, all we have to do is input the value x = 4 into the equation and solve.

f(4) = 4(4)^0 + (4x)^-1

f(4) = 4(1) + 1/4(4)

f(4) = 4 + 1/16

f(4) = [tex]\frac{64}{16}[/tex] + [tex]\frac{1}{16}[/tex]

f(4) = [tex]\frac{65}{16}[/tex]

f(4) = 4.0625

Answer:

Yes, it is in Standard Form.

Step-by-step explanation:

A linear function in Standard Form would look like:

Ax + By = C

where A, B, and C are real numbers.

A good way to check if a linear function is in Standard Form is by checking if the only the variables and coefficients found on one side of the equation and a real number is found by itself on the other side.

The linear function, -x + 4y = 5, has only the variables and coefficients on the left side of the function, and a real number (5) by itself on the right side.

The linear function, -x + 4y = 5, is in Standard Form.

I hope this helps. :)

Answer:

x^2 - 7/3x-2

Step-by-step explanation:

x1=3, x2 =-2/3

(x-x1)(x-x2)=(x-3)(x-(-2/3))=

(x-3)(x+2/3)=x*x+x*2/3-3*x-3*2/3=

x^2 +2/3x-3x-6/3=

x^2 +2/3x-9/3x-2=

x^2 - 7/3x-2

the answer is D 5x(7-1)=(5x7)-(5x1)

Answer:6

Step-by-step explanation: we simplify 1/16 by dividing it in half, so half of 16 is 8. And according to the question there were 3/8 washed plates. So we reverse that by multiplying the fraction by 2. 3/8•2= 6/16.

Answer:0.81

Step-by-step explanation:

0.391/0.48 =0.814583333...

So when rounding up to the nearest hundredth you have to stop 0.81 and because 4 is the next number after 0.81, you don't need to change the 1 at the end.

Answer:

Option B

Step-by-step explanation:

The statement that is proven true in this question is option B or "An irrational number is a non-terminating, non-repeating decimal." A non-terminating or a non-repeating decimal is a decimal that never ends it's repeating forever and all repeating decimals are irrational numbers because the decimal cannot be expressed as a ratio with other integers so a repeating decimal is a irrational number.

Hope this helps.

Answer:-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

Clear brackets

-a^2-4a+3a+12

Add like terms

-a^2-a+12

Answer:

12.60

Step-by-step explanation:

Start off by the total which is 18. To find the percentage off you will have to make the 30% into a decimal, so simply move it two spaces to the left. Now you have .30. Multiply the decimal, .30, and the full amount, 18. Your equation now should be (.30)*(18). Your answer will be 5.40. 5.40 is what is off of the shirt from the original price, so subtract 5.40 from 18. Your equation now is (18-5.40) which is 12.60.

Answer:

116 2/3

Step-by-step explanation:

Turning each of them to improper fraction, we have

6 2/3 =20/3

3 1/3= 10/3

5 1/4= 21/4

Multiply them

20/3 times 10/3 times 21/4

We have 350/3

Turning it back to a mixed fraction, we have

116 2/3

Because 350/3 is 116 remainder 2.

The ratio 21 feet to 10 yards can be simplified and written as a fraction. By converting feet to yards, we get the ratio 7 yards to 10 yards or the fraction 7/10, which is already in its simplest form.

In order to write the ratio 21 feet to 10 yards as a fraction in simplest form, we need to first convert feet into yards. One yard is equivalent to three feet. Therefore, we can transform 21 feet to 7 yards. The ratio thus translates to 7 yards to 10 yards. Writing this ratio as a fraction, we get 7/10. Since 7 and 10 have no common factors other than 1, the fraction 7/10 is already in its simplest form.

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Answer:

infinite solutions

Step-by-step explanation:

If your graph has lines that are not touching and are parallel to each other, there would be an infinite amount of solutions to this graph.  

The number of solutions should be infinite solutions

The following information should be considered:

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[tex]\frac{3}{5}[/tex] of the fraction of the college is women

Explanation:

The college has a 2:3 ratio from men to women.

The number of men in the college is 2.

The number of women in the college is 3.

The total number of students in the college is [tex]2+3=5[/tex]

We need to determine the fraction of the college is women.

The fraction of the college can be determined by substituting the values in the formula,

[tex]\frac{\text { Number of women }}{\text { Total number of students }}$[/tex]

Substituting the values, we have,

[tex]\frac{3}{5}[/tex]

Hence, [tex]\frac{3}{5}[/tex] of the fraction of the college is women.

Final answer:

To find the volume of a rectangular prism, multiply its length, width, and height. For this specific prism, the volume is 2936.76 cubic inches.

Explanation:

Volume is calculated by multiplying the length, width, and height of a rectangular prism:

Volume = length x width x height

Given dimensions: length = 13.2 in, width = 13.8 in, height = 15.9 in.

Substitute the values into the formula: Volume = 13.2 in x 13.8 in x 15.9 in = 2936.76 in³

Therefore, the volume of the rectangular prism is 2936.76 cubic inches.

Hi there!

Assuming a perfect square: we know there are 4 sides in a square, and all of them have equal length. This means that every side of the square is 6 cm, and with 4 sides, that would make an overall length / perimeter of 6 + 6 + 6 + 6, or 6*4, which would equal 24 cm. This means that our wire must be 24 cm long.

Now, for the rectangle. We know with rectangles that they also have 4 sides, and in pairs of 2 in terms of length (2 of the sides have the same length, and the other two have the same length). This means we know there are 2 sides that are 9 cm, which would mean 18 cm in total. This is the total amount of wire taken up by the length, but we are looking for the width. Thus, we can see how much wire is leftover not taken up by the length by subtracting 18 from 24:

24-18=6

Now, we see that the two sides that make up the width are 6 cm long. As those two sides are equal length, we can divide 6 cm into two equal parts to see the width.

6/2 = 3 cm.

Thus, the width of the rectangle is 3 cm.

Hope this helps!

The wire, when bent into a square, has a total length of 24cm. When reshaped into a rectangle with a length of 9cm, the width must be 3cm to maintain the same total length.

The subject of this problem is geometry and algebra. We know that a wire is bent into the shape of a square with each side being 6cm. The total length of the wire is the perimeter of the square, which can be calculated as 4 * side length, so the total length of the wire is 4*6 = 24cm.

Then the wire is reshaped into a rectangle where the length is given as 9cm. Since the total length of the wire has not changed, the perimeter of the rectangle is also 24cm. The perimeter of a rectangle can be calculated as 2*(length + width). If we set this equal to 24, we get 2 * (9 + width) = 24. Solving for width, we find that the width is 3cm.

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Answer:

3x^2-x-4

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation: Edge 2021.

Answer: C

Step-by-step explanation:

Answer:

1595.45 ft3

Step-by-step explanation:

The formula is (4/3) *3.14*r^3

since the diameter is 14.5, the radius is 7.25

(4/3) *3.14*(7.25^3)

Answer: 1595

Step-by-step explanation:

The volume formula uses the radius of the sphere not the diameter.

Answer:

Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).

Step-by-step explanation:

Hope this explains it. Use the quadratic squares to help on a graph!

Answer:

0 Degree Clockwise Rotation. Learn about the rules for 90 degree clockwise rotation about the origin. ... Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).

Step-by-step explanation:

Answer:

OHIO1801

Step-by-step explanation:

THIS LICENCE PLATE IS ORIGINALLY FROM OHIO ( I MADE IT UP (NOT THE PLACE BUT THE LICENCE PLATE) HONESTLY)