Find the slope of a line perpendicular to the line whose equation is x + 6y = -24.
Fully simplify your answer.

Answer:

-2x

Step-by-step explanation:

Just flip it around and then it is negative!

Answer:

the first one I believe to be answer D, hope this helps

Answer:

$7.89

Step-by-step explanation:

Given that Miguel spends $12.88 on 2 comic books then the amount spent on 1 book given that the prices of the books are equal will be

= $12.88/2

= $6.44

Given that  the store reduced the price of each comic book by $1.45 then the price P of 1 comic book before the sale

P = $6.44 + $1.45

= $7.89

The cost of 1 comic book before the sale ( which is before the reduction in price) is  $7.89

Step-by-step explanation:

"down by one" means that the y values (the function result values) are all decreased by 1.

so, k = -1

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

Step-by-step explanation:

6

Answer:

17 gal.

Step-by-step explanation:

You can solve this using unitary method.

168 mi ---- 4 gal.

714 mi ---- 714 mi x 4 gal. /168 mi = 17 gal.

the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².

Why it is and what is diameter?

The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.

The formula for the area of a circle is:

A = πr²2

where A is the area and r is the radius.

Substituting the value of the radius into the formula, we get:

A = 3.14 x 8.5²2

A = 3.14 x 72.25

A ≈ 226.99

Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².

In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.

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Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

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

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

The concept of exponential growth function is discussed below.

An exponential function is of the form -

y = A(B)ˣ

Given is to explain exponential growth.

Exponential growth of a quantity happens if the rate of instantaneous change is directly proportional to the quantity itself. The general exponential function is -

y = A(B)ˣ

More specifically -

\($f(x)=a(1+r)^{x}\)

where -

f(x) = exponential growth function

{a} = initial amount

{r} = growth rate

{x} = number of time intervals

Therefore, the concept of exponential growth function is discussed above.

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{Question in english -

What is exponential growth?}

Answer:

x=5 and y=8

Step-by-step explanation:

First, set up a system of equations:

\(2x+y=18\\y=4x-12\)

Then, since equation 2 is already solved for y, substitute 4x-12 into equation 1 for y and solve the resulting equation for x:

\(2x+y=18\\2x+(4x-12)=18\\6x-12=18\\(6x-12)+12=(18)+12\\6x=30\\\frac{6x}{6}=\frac{30}{6}\\x=5\)

Next, substitute 5 for x in equation 2:

\(y=4x-12\\y=4(5)-12\\y=20-12\\y=8\)

To check the two solutions, substitute back into the original problem:

\(2x+y=18\\2(5)+(8)=18\\10+8=18\\18=18\)

and

\(y=4x-12\\8=4(5)-12\\8=20-12\\8=8\)

Answer: Quadrant I

Step-by-step explanation:

Since the x-axis contains the temperature in C degrees, then the temperature above 0 (meaning positive) would have to be on the right side of the x-axis. And the increase in Y is going upwards. Therefore, positive values for both X and Y are in the first Quadrant

The estimated sum of 76.81 and 2.17 is 79.

The first number given to us is 76.81.

The second number given to us is 2.17.

We need to find the estimated sum of the two numbers.

To find the estimated sum, we will round off the numbers to the nearest tenth.

Rounding a number implies simplifying it while retaining its value close to what it was. The end output is less precise but more usable.

After rounding, the first number becomes 76.8.

After rounding, the second number becomes 2.2.

The estimated sum is the addition of these rounded numbers.

The estimated sum is 76.8 + 2.2 = 79.

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Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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The value of {h} is equivalent to 6/5.

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given is the function as follows -

(1/5) + h = (7/5)

We can write the function as -

(1/5) + h = (7/5)

h = 7/5 - 1/5

h = (7 - 1)/5

h = 6/5

Therefore, the value of {h} is equivalent to 6/5.

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The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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Answer:

Deborah is 27 years old and Syria is 31 years old.

Step-by-step explanation:

Let's say Deborah's age is x and Syria's age is y.

From the given information, we know that:

x + y = 58 (the sum of their ages is 58)

Also, the difference between their ages is 4, which means:

y - x = 4

We can use these two equations to find the values of x and y.

First, we'll solve for y:

y = x + 4

Substituting this value of y into the first equation:

x + (x + 4) = 58

Expanding the left-hand side:

2x + 4 = 58

Subtracting 4 from both sides:

2x = 54

Dividing both sides by 2:

x = 27

So Deborah is 27 years old and Syria is y = 27 + 4 = 31 years old.

Answer:

x^2-7x+12

Step-by-step explanation:

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Answer:

Of what grade this is question

Answer:

\(A= 35.8\)

Step-by-step explanation:

Given

\(sin(53.2) = cos(A)\)

Required

Find A

In trigonometry

\(sin(\alpha) = cos(\theta)\)

Then

\(\alpha + \theta = 90\)

So, this gives:

\(54.2 + A= 90\)

Make A the subject

\(A= 90-54.2\)

\(A= 35.8\)

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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Answer:

\( \frac{r}{3} - 15\)

Step-by-step explanation:

Swap places with A(r) and r so we have

\(r = 15 + 3a(r)\)

Solve for a(r).

\( \frac{r}{3} = 15 + a(r)\)

\( \frac{r}{3} - 15 = a(r)\)

Answer:

67.31

Step-by-step explanation:

ahhshshshahaha

Answer:

The answer is 67.31

Step-by-step explanation:

The sequence of transformation carried out on ABCD is; B: Reflection about the y-axis followed by a translation left by 2 units

As in rotation, reflection and translation the transformed image is congruent to the original figure (i.e all the points undergo same change). Thus, analyzing any one point will give the series of transformation undertaken.

Taking point A(3, 1) into consideration; Reflecting a point (x, y) over y axis, it becomes (-x, y).

Thus, reflecting A(3, 1) over y - axis gives the the new coordinates as (-3, 1)

Now, translating a point (x, y) k units left, gives a new coordinate (x - k, y).

Thus, translating point (-3, 1) 2 units left, gives the new coordinates as A'(-5, 1).

This is the coordinates for A'.

Thus, we can conclude by saying that the sequence of transformation carried out on ABCD is reflected about the y-axis followed by a translation left by 2 units.

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Answer:

here's the answer

Step-by-step explanation:

-0.65, -1/4, -1

You must observe the distances from the center of the dilation at point A to the other points B, C and D. The dilation image will be 1/3 of each of these distances. AB = 6, so A'B' = 2. AD = 9, so A'D' = 3.

Can I get brainllest

Answer:

• -23.24 = 28.98 +(-52.22)

• 131.87 = 56.75 + 75.12

• 84 5/8 = 45 2/9 + 39 3/9

• 6 2/9 = -24 5/9 + 30 7/9