What are the slope of the two lines?

Answer:

farther

Step-by-step explanation:

2 feet farther from the surface of ocean than elevation of -8feet

Answer:

Answer: 1/7 as a decimal is 0.143

Step-by-step explanation:

Let us understand the division method to write 1/7 as a decimal. Explanation: To convert any fraction to its decimal form, we just need to divide the numerator by the denominator. Irrespective of the methods used, the answer to 1/7 as a decimal will always remain the same

Answer:

81 100 121 144 169 196 225 256

17 19 21 23 25 27 29 31

Step-by-step explanation:

the formula is to square the number then subtract the preceding number in the box

The answer of the following fraction which involves ABC is said to be  12:20:25

The transformation of a ratio into a fraction is known as the simple fraction form. In order to convey the relative size of two or more variables, the ratio is utilized. The fraction similarly identifies the components of the total. A:B or a/B are two ways to represent the ratio. As an illustration, the ratio is 12: 15.

Express the ratio in terms of a

a/b = 3/5 (cross-multiply)

3b = 5a (Divide the total both sides by 3)

b= 5/3 a

b/c = 4/5 (cross-multiply)

4c = 5b (divide the total both sides by 4)

c= 5/4 b=5/4×5/3 a=25/12a

then

a:b:c

=a:5/3 a:25/12 a (multiply each part by 12 to clear the fractions)

=12a:20a:25a (divide each part by a)

=12:20:25

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Answer:

the gfc is 1 because of the unknowns which are a and b

The length of the rectangle is 12feet and the width is 26feet.

The formula for calculating the perimeter of a rectangle is expressed according to the equation below:

Perimeter = 2(length + width)

If the width is 3 times the next consecutive integer, then;

w = 3(x+1)

l = x

Substitute

102 = 2(x + 3x + 3)

102 = 2(4x + 3)

102/2 = 4x+ 3

51 = 4x + 3

4x = 48

x = 12 = length

For the width

width = 2(x+1)

width = 2(12+1)

width - 26 feet

Hence the length and the width of the rectangle are 12 feet and 26 feet respectively

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The solution of the given equation by rounding off it to the nearest ten-thousandth is 20716.0000.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: 12⁴ - x = 20

We are given that 12⁴ - x = 20            —- 1

We know that 12⁴ = 20736

So, equation 1 becomes,

20736 - x = 20

x = 20736 - 20

= 20716

Hence, the solution of the given equation to the nearest ten-thousandth is 20716.0000.

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Answer:6x-24y

Step-by-step explanation:You basically distribute the 6 with the x and the you do the same with the 4y. and thats how u get ur answer

Answer:

6x - 24y

Step-by-step explanation:

I'm guessing that they want you to distribute the 6 to each term inside the parentheses...

Answer:

C. q= -9

Step-by-step explanation:

4=q+13

-13    -13     (4-13= -9)

q=-9

hope this helps :)

The solution of the given equation 4=q+13 is -9. Thus option C is correct.

The equation is defined as an expression consisting of an equality sign.

let us consider an example  :

[tex]2x - 5 = 13.[/tex]

The given equation is:

[tex]4 = q + 13 \rightarrow 1[/tex]

For part A when q = 4 (given)

on substituting the value in equation 1 we get,

On transposing 13 to opposite side we get,

[tex]4 -13 = q[/tex]

[tex]-9 = q[/tex]

rewrite the equation as,

[tex]q =9[/tex]

The solution of the given equation [tex]4=q+13[/tex] is -9.

Thus option C is correct.

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x = 5 is not an extraneous solution of the equation.

[tex](2x)^{1/2} = (x+5)^{1/2}[/tex]

Taking square on both the side of the equation, we get

[tex]((2x)^{1/2})^{2}[/tex] = [tex]((x+5)^{1/2})^{2}[/tex]

2x = x + 5

Subtracting x on both the sides of the equations, we get

2x - x = 5

x = 5

Check for Extraneous Solution by putting x = 5 in the original equation, we get

[tex](2(5))^{1/2} = (5+5)^{1/2}[/tex]

[tex]10^{1/2}[/tex] = [tex]10^{1/2}[/tex]

⇒ LHS = RHS

∴ x = 5 is not an extraneous solution of the equation.

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The solutions for the system of equations: x₁ ≈ - 3.967, x₂ ≈ - 0.622. (Correct choice: B)

In this question we find a system formed by one nonlinear equation and one linear equation, which can be resolved by using a graphic approach. g(x) = f(x) represents the point of intersection of the two curves. First, we plot the graphs of the two curves and, second, the point of intersection is marked on the Cartesian plane.

According to the result given by the graphing tool, there are two solutions for the system of equations: x₁ ≈ - 3.967, x₂ ≈ - 0.622.

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2 133/640 or 2.2078125

Answer:

Its A

Step-by-step explanation:

I will answer so you can give the other person brainliest :)

A solution that is real in its nature is called the real solution of that equation.

X + 5 = 0

We can solve the above equation as,

X + 5 = 0

X = -5

Now, if we plug the value of X into the equation,

X + 5 = 0

-5 + 5 = 0

0 = 0

The solution is real and is true for this equation.

While the solution of an algebraic expression solution is imaginary if it is the square root of a negative number. It involves the imaginary unit iota.

The complete solution of the expression is given below in the picture.

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Room DimensionsLiving Room:·Room: 12 feet x 19 feet·Wall Height: 8 feet 4 walls painted

Step-by-step explanation:

Given the radius of each sphere, the volume of sphere A and B are 33.49cm³ and 267.95cm³ respectively.

A sphere is simply a geometrical object with a three-dimensional analogue to a two-dimensional circle.

The volume of a sphere is expressed as;

V = (4/3) × π × r³

Where r is radius and π is constant pi ( π = 3.14 ).

Given the data in the question;

First, we determine the volume of sphere A.

V = (4/3) × π × r³

V = (4/3) × 3.14 × (2cm)³

V = (4/3) × 3.14 × 8cm³

V = 33.49cm³

Hence, the volume of sphere A is approximately 33.49cm³.

Next, we determine the volume of sphere B.

V = (4/3) × π × r³

V = (4/3) × 3.14 × (4cm)³

V = (4/3) × 3.14 × 64cm³

V = 267.95cm³

Hence, the volume of sphere Bis approximately 267.95cm³.

Given the radius of each sphere, the volume of sphere A and B are 33.49cm³ and 267.95cm³ respectively.

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Answer:

[tex]\dfrac{20}{9}[/tex]

Step-by-step explanation:

Answer
[tex]x = \dfrac{20}{9}[/tex]. So the original number = [tex]\dfrac{20}{9}[/tex]

The original number is 20/9.

What is mean by Fraction?

A number expressed as a quotient in which a numerator is divided by denominator is called a fraction.

Given that;

The numbers are 1 5/6 and 3 2/3.

Now, Let us assume original number 'x'.

Change mixed fraction into improper fraction,

1 5/6 = 11/6

3 2/3 = 11/3

Then by the given condition,

Subtracting 7/18 from x and add 11/6, we get;

x - 7/18 + 11/6

And this is equal to = 11/3

So, we get;

x - 7/18 + 11/6 = 11/3

Add 7/18 both side,

x - 7/18 + 11/6 + 7/18 = 11/3 + 7/18

x + 11/6 = 11/3 + 7/18

Subtract 11/6 both side,

x + 11/6 - 11/6 = 11/3 + 7/18 - 11/6

x = 11/3 + 7/18 - 11/6

x = 66/18 + 7/18 - 33/18

x = 40/18

x = 20/9

Thus, The original number is 20/9.

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Check the picture below.

well, according to the line vertical test, if a vertical line anywhere on the graph hits the graph only once, then yeap, it's a function.

Answer:

A and C is true statements

hope this helps :)

Step-by-step explanation:

Answer:

C and A

Step-by-step explanation:

The midpoint of (3,5) and (6,0) is (9/2, 5/2)

The points are given as

(3,5) and (6,0)

The midpoint of the points is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have

Midpoint = 1/2 * (3 + 6, 5 + 0)

Evaluate the sum

So, we have

Midpoint = 1/2 * (9, 5)

Evaluate the product

So, we have

Midpoint = (9/2, 5/2)

Hence, the midpoint of (3,5) and (6,0) is (9/2, 5/2)

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The employee yearly contribution to the

U.S. Medicare tax on a salary of 40,000 $/year is $580.

Medicare is a federal employment tax that helps pay the Medicare insurance program.

The Medicare duty, occasionally known as the" sanitarium insurance duty," is a civil employment duty that contributes to the Medicare insurance program. Medicare duty, like Social Security duty, is taken from an hand's payment or paid as a tone- employment duty.

 Part A of the Medicare program, which covers sanitarium insurance for grown-ups 65 and aged, as well as persons with certain impairments or medical conditions, is funded by the Medicare duty. Medicare sanitarium insurance includes hospitalization, lodge care, nursing home care, and certain home healthcare.

Anyone working in the United States is obliged to pay Medicare levies.

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The length of each piece of rope is 10m.

The first step is to determine the length of the rope before it was cut. In order to determine the length of the rope, multiply the length of the stick by the number of times the rope is as long as the stick.

Multiplication is the process that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.

Length of the rope = length of the stick x 4

4 x 5 = 20m

lf the length of the rope is divided into two prices, divide the length of the rope by 2. Division is the mathematical operation that is used to determine the quotient of two or more numbers. It entails grouping a number into equal groups using another number.

Length of each piece = Length of the rope / 2

20m / 2 = 10m

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Answer:

Step-by-step explanation:

yyyyyyyyyyyyyyyyyyyyyyyyyyyy

Hello,

[tex]1) \: - 24[/tex]

[tex] 2) \frac{ - 24}{2} = - 12[/tex]

[tex] 3)\frac{ - 12}{2} = - 6[/tex]

[tex]4) \frac{ - 6}{2} = - 3[/tex]

[tex]5) \frac{ - 3}{2} = - 1.5[/tex]

Answer → -1,5

Sarah have $495 in her account at the end of the month.

Given,

The amount Sarah had in her bank account at the beginning of the month = $600

The deposits she made within the month = $40 and $25

The withdrawals she made = $100, $50 , $20

We have to find the balance amount in Sarah's account after all these transactions made:

The deposits Sarah had = 600 + 40 + 25 = 665

Sarah had $665 in her account in a month.

Withdrawals made by Sarah = 100 + 50 + 20 = 170

Sarah made a total withdrawal of $170 in the month.

Now, we have to find the account balance of Sarah:

Account balance = Total deposits - Total withdrawals

Account balance = 665 - 170 = 495

That is, Sarah have $495 in her account at the end of the month.

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Answer:

Parallel: y = -4x + 23

Perpendicular: y = (1/4)x - (5/2)

Step-by-step explanation:

Parallel Line:

y = -4x + 1; (6, -1)

                  (x₁, y₁)

y - y₁ = m (x - x₁)

y - (-1) = -4 (x - 6)

y + 1 = -4 (x - 6)

y + 1 = -4x + 24

y = -4x + 23

----------------------------------------------------------------------------------------------------------

Perpendicular:

y = (1/4)x + 1

y - y₁ = m (x - x₁)

y - (-1) = (1/4) (x - 6)

y + 1 = (1/4) (x - 6)

y + 1 = (1/4)x - (6/4)

    -1               -1

y = (1/4)x - (5/2)

I hope this helps!

Answer:

y = - 3x - 12

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 9 ) and (x₂, y₂ ) = (- 5, 3 )

m = [tex]\frac{3-9}{-5-(-7)}[/tex] = [tex]\frac{-6}{-5+7}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 5, 3 )

3 = 15 + c ⇒ c = - 3 - 15 = - 12

y = - 3x - 12 ← equation of line