What is the first step in solving 6(3x+10) = 78?


Multiply both sides of the equation by 6.


Subtract 6 from both sides of the equation.


Simplify the left side of the equal sign by distributing the 6 across (3x + 10).

Answer:

5x-4y=0

Step-by-step explanation:

\(\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0\)

Answer:-7-8/7-3

slope= -15/4

Step-by-step explanation:

(x1,y1),(x2,y2)

just plug in.

Answer:

-15/4

Step-by-step explanation:

formula for Gradient/slope=y2-y1/x2-x1

x1=3,x2=7,y1=8,y2=-7

M= -7-8/7-3

M=-15/4

i hope i helped

Using the definition of the absolute value function, it is found that:

It measures the distance of a point x to the origin, and is defined by:

\(|x| = -x, x < 0\)

\(|x| = x, x \geq 0\)

As for the expression used in this problem:

\(\frac{|x|}{x} = -\frac{x}{x} = -1, x < 0\)

\(\frac{|x|}{x} = \frac{x}{x} = 1, x > 0\)

Hence:

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Answer:

just to be clear the answers are here:

Step-by-step explanation:

If x=1, then |x|/x= 1

If x=7, then |x|/x=1

If x=128, then |x|/x=1

If x>0, then |x|/x=1

If x=-8, then |x|/x=-1

If x=-5, then |x|/x=-1

If x<0, then |x|/x=-1

I hope u have a nice day :)

Answer:

See below for answers and explanations

Step-by-step explanation:

Top left: Since y can't be greater than 0 but is equal to 0, then the range is (-∞,0] and the domain is (-∞,∞) since there are no domain restrictions

Top right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

Bottom left: Since y cannot be less than 2 but equal to it, and x holds no domain restrictions, then the domain is (-∞,∞) and the range is [2,∞)

Bottom right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

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Answer:

23-22i

Step-by-step explanation:

The equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i

The complex expression is given as:

(-45 - 22i) + 2(5 - 3i)(5 + 3i)

Apply the difference of two squares on the expression

(-45 - 22i) + 2(5^2 - (3i)^2)

Evaluate the squares

(-45 - 22i) + 2(25 + 9)

Expand the bracket

-45 - 22i + 68

Evaluate the like terms

23 - 22i

Hence, the equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i

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Answer:

Step-by-step explanation:

Your answers are -18 and -4

Answer:

209

Step-by-step explanation: then explaination is 19+19=38+171=209

Answer:

Formula ~ A=(a+b)/2 x h

or 5 + 12/2 x 3 = 25.5

Answer ~ 25.5 (๑・ω-)～♥”

Answer: The mile is an English unit of length, of linear measure that equals to 5,280 feet. It originated from the Roman mille passus that measured as 5,000 Roman feet.

While the speed is distance traveled per unit of time. It is how fast an object is moving. Speed is the scalar quantity which is the magnitude of the velocity vector but it doesn't have a direction.

The following table shows the speeds at which Jeff does 4 activities.

For biking it needs 19 miles / 2 hours, hence it means 9.5 miles / hour.

For walking it needs 14 miles / 4 hours, hence it means 3.5 miles / hour.

For running it needs 15 miles / 3 hours, hence it means 5 miles / hour

For swimming it needs 18 miles / 4 hours, hence it means 4.5 miles / hour.

Which type of activity does Jeff do at a speed of 4.5 miles per hour? The answer is swimming activity. I hope it helps you. ;)

Step-by-step explanation:

The statement that would be true concerning the graph would be that the graph will have a slope of -0.5.

A slope is defined as the difference between a chosen point on the vertical and horizontal axis.

The slope of a straight line graph has a constant equation that is used to determine its slope. Thus;

y = mx + b

Where m = the measure of the steepness of the straight line graph.

From the equation of the graph that was given;

y = -0.5x + 12. The slope of the graph which is represented by 'm' would be -0.5.

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Answer:

14.09415

Step-by-step explanation:

Answer:

17 d 18 f 19 e

Step-by-step explanation:

that's 3 of em

In repeated sampling, the method produces intervals that include the population mean approximately 95 percent of the time.

A simulation is a model that replicates how a current or proposed system functions, offering evidence for decision-making by allowing the testing of various scenarios or process improvements. A more immersive experience can be had by combining this with virtual reality technology.

The fundamental goal of simulation is to illuminate the underlying processes that regulate a system's behavior. A system's future behavior can be predicted (forecasted) using simulation, and you can use it to figure out how to influence that behavior in the future.

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There are no reflectional symmetries of the given figure of the letter 'F'.

Symmetry is an axis around which the object looks similar and faces opposite to each other. therefore, the line of symmetry acts as a mirror for the object.

As we can see that the given figure is the image of the letter 'F', and the letter 'F' is not symmetric about any of the axis as shown below.

Hence, there are no reflectional symmetries of the given figure of the letter 'F'.

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Answer:

y > −x − 3

Step-by-step explanation:

The unknown side length of the right triangle is 6 cm.

A right triangle is a triangle with one angle equals to 90 degrees. The side of a right triangle can be found using Pythagoras's theorem or trigonometric ratios.

Hence, let's find the unknown side length using Pythagoras's theorem,

c² = a² + b²

where

Therefore,

10²  - 8² = b²

b² = 100 - 64

b = √36

b = 6 cm

Therefore, the unknown side is 6 cm.

We are asked to find the unknown side of the right angle triangle.

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Answer:

A is correct Answer. with the point of the compass on A.dreaw an arc that intersects both sides of the angle at B and C.

The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.

First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.

Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.

Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.

Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.

Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

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By finding the magnitude and bearing, we conclude that the correct option is:

"about 29 miles at 25° south of west"

For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.

Such that:

\(R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)\)

In this case, the original vector is (-26, -12), replacing that we get:

\(R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°\)

Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.

Then we can describe this vector as:

"About 29 miles at 25° south of west".

The first option is the correct one.

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Answer:

x= 20

AD= 23

DC= 23

AC= 46

Step-by-step explanation:

because it's a median that means that x+3=2x-17 solve for x and get x=20 which (I think) means that AD, DC= 23 and that AC= 46

Answer:the answer is b good luck

Step-by-step explanation:

The dimensions of this rectangle to the nearest tenth include the following:

Width, W = 2.6 meters.

Length, L = 7.6 meters.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

From the information provided, we have the following parameters:

Length, L = W + 5

Substituting the given parameters into the formula, we have;

20 = (W + 5) × W

20 = W² + 5W

W² + 5W - 20 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(5)\; \pm \;\sqrt{5^2 - 4(1)(-20)}}{2(1)}\)

Width, W = x = 2.6 meters.

For the length (L), we have:

Length, L = W + 5

Length, L = 2.6 + 5

Length, L = 7.6 meters.

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Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Answer:

Isosceles triangle

Step-by-step explanation:

Length of side AB = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

                              = \(\sqrt{(-11+3)^2+(2-6)^2}\)

                              = \(\sqrt{64+16}\)

                              = \(\sqrt{80}\)

                              = 4\(\sqrt{5}\)

Length of BC = \(\sqrt{(-4+11)^2+(-2-2)^2}\)

                      = \(\sqrt{49+16}\)

                      = \(\sqrt{65}\)

Length of AC = \(\sqrt{(-3+4)^2+(6+2)^2}\)

                      = \(\sqrt{1+64}\)

                      = \(\sqrt{65}\)

Since, AC = BC, ΔABC will be an isosceles triangle.

Answer:

It's 306006

Step-by-step explanation:

It is 306006 because their is 12 months in a year and if you get 25500.5 dollars every month you multiply 25500.5 by 12.

I hope this was helpful!

The measure of angle ced is 55°.

An angle is a figure in Euclidean geometry created by two rays known as the angle's sides that meet at a location known as the angle's vertex. Angles created by two rays are discovered in the plane containing the rays. Angles are generated when two planes overlap. These are known as dihedral angles.

< BAC = 55° (given)

we have to find angle ced

here we have two triangles Δ CAB and  ΔCED

so by first triangle  Δ CAB

given <B = 90° <BAC = 55°

but we know that sum of angles of triangles is 180°

so we have ,

by  Δ CAB

< BCA + <BAC  + <ABC = 180°

<BCA = 180- 145

<BCA = 35°...................................(1)

again we know that angle c is common in both triangle so DCE is also 35°

now by  Δ CED ,

here <D = 90° (right angle)

<DCE + <DEC + <EDC = 180°

<CED = 180 - 125

< CED = 55° .....this is what we wanted

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Answer:

7

Step-by-step explanation:

Answer: 0.7

Step-by-step explanation:

April has 30 days, and we know that it rained in 9 of them.

Then the probability that there will be rain in a random day, can be estimated as the quotient between the number of days where was rain and the total number of days, this probability will be:

P = 9/30 = 0.3

And we can extrapolate this probability to May.

Then we can estimate that the first day of May, the probability of rain will be around 0.3

Then the probability that it does not rain in the first day of may will be:

1 - 0.3 = 0.7

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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