Given m = -1/2 and the point (3, -6), which of the following is the point-slope form of the equation

2) [tex]\overline{EK} \cong \overline{KG}, \overline{HK} \cong \overline{KF}[/tex]

3) Opposite sides of a parallelogram are congruent.

4) [tex]\triangle EF \text{ }K \cong \triangle GHK[/tex]

Answer:

2 cos (2x)

Step-by-step explanation:

[tex]\frac{4 -2 sec^2x}{sec^2x} \\=\frac{4-\frac{2}{cos^2x} }{\frac{1}{cos^2 x} } \\=\frac{\frac{4 cos^2x-2}{cos^2 x} }{\frac{1}{cos^2x} } \\=\frac{2(2 cos^2x-1)}{cos^2x} \times \frac{cos^2x}{1} \\=2(2cos^2x-1)\\=2cos(2x)[/tex]

Jaira is completing the construction of a regular hexagon inscribed in a circle, as shown below: The next step in her construction should be:

A closed polygon with six equal sides and six equal angles is called a regular hexagon.

Thus, the steps highlighted above will help Jaira complete her construction.

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Answer:

x = -3

x = -1

x = 2

Step-by-step explanation:

The zeros of a function are the x-values of the points at which the curve crosses the x-axis.

From inspection of the given graph, the curve crosses the x-axis at:

Therefore, these are the zeros of the function.

-6 ≤ x < -2

Step-by-step explanation:

[ => this shows ≤ sign

) => this shows < sign

The correct answer is option B i.e. (7.6, 8.8)

The length along a line or line segment between two points on the line or line segment.

Let the coordinates of the treasure be (x, y).

Let  d₁ =  distance from the rock to the treasure.

Let  d₂ =  distance from the tree to the treasure.

    d₁ = [tex]\sqrt{x^2 + (y-2)^2}[/tex]

    d₂ = [tex]\sqrt{(16-x)^2 + (21-y)^2}[/tex]

We want d₁/d₂ = 5/9 in order to locate the treasure.

Note that 5/9 = 0.556 (approx)

Test (11.4, 14.2)

d₁ = 14.8, d₂ = 8.2, d₁/d₂ = 1.8           Incorrect

Test (7.6, 8.8)

d₁ = 8.2,  d₂ = 14.8,  d₁/d₂ = 0.554    Correct

Test (5.7, 7.5)

d₁ = 6.13,  d₂ = 16.98, d₁/d₂ = 0.36   Incorrect

Test (10.2, 12.6)

d₁ = 12.8,  d₂ = 10.2, d₁/d₂ = 1.255   Incorrect

Thus, The correct answer is option B i.e.  (7.6, 8.8).

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Answer:

See below

Step-by-step explanation:

x2 + 4x + 12 = 0    Complete the square ( take 1/2 of the 'x' coefficient, then square it   and add it to both sides of the equation

x^2 + 4x + 2^2 + 12 = 2^2     Subtract 12 from both sides

x^2 + 4x + 4 = -8

(x+2)^2 = - 8       sqrt both sides

(x+2) =± sqrt (-8)     simplify just a bit

x+2 = ±(2i sqrt2)      subtract 2 from both sides

x =  -2 ± 2i sqrt 2       <===== I do not see that answer listed

Answer:

D: (-3,4).

Step-by-step explanation:

There is really no need to solve it. Plot those points onto a graph and draw lines. I have done it on desmos. Looking at the x-axis to find the domain. From the left to right x-axis we can see that the domain should be D: (-3,4).

Answer:

[tex]x = 172.75[/tex]

Hope this help!!!

Have a good day♡

By writing Z in polar form, we will see that:

[tex]z^3 = C[/tex]

First, we can see that:

z = (-1 - i)

If we write it in polar form, we get:

[tex]z = \sqrt{2} *e^{i(\pi + \pi/4)[/tex]

If we apply the power 3, we get:

[tex]z^3 = (\sqrt{2} *e^{i(\pi + \pi/4)})^3\\\\z^3 = 2^{3/2}*e^{i*(3\pi + 3\pi/4)}\\\\z^3 = 2^{3/2}*e^{i*15\pi/4}[/tex]

Notice that:

[tex]\frac{15\pi}{4}[/tex]

Is an angle equivalent to:

[tex]\frac{15\pi}{4} - 2\pi = \frac{15\pi}{4} - \frac{8\pi}{4} = \frac{7\pi}{4} = 1.75\pi[/tex]

Because the angle is measured from the positive x-axis, this means that we will have:

[tex]z^3 = C[/tex]

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Answer:

Step-by-step explanation:

Open the brackets

3 x 2x = 6x

3x -3 = -9

4 x 2x= 8x

4 x 4= 16

6x - 9 = 8x + 16

Move same to same side

-16 -9 = 8x - 6x

-25 = 2x

x -25/2

x = -12.5

Answer:

Step-by-step explanation:

3*(2x - 3) = 4*(2x + 4)​

6x - 9 = 8x + 16

6x - 8x = 16 + 9

-2x = 25

x = -25/2 or -12.5

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

check

3 * (2 * (-12.5) - 3) = 4 * (2 * (-12.5) + 4)

3 * (25 - 3) = 4 * (12.5 + 4)

3 * 22 = 4 * 16.5

66 = 66

the answer is good

Answer:

3 + a/2

Step-by-step explanation:

3 + a/2

Answer:

Step-by-step explanation:

I answer for what I understand, the question is not clear.

2 divided by what times what equals 7

2 : x = 7

x = -2/-7

x = 2/7

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

check

2 : 2/7 = 7

2 * 7/2 = 7

7 = 7

the answer is good

The attached graph represents the piecewise function.

The complete question is in the image

The function is given as:

[tex]f(x) = \left[\begin{array}{cc}3&x \le -3\\2x + 1&-3 < x < 4 \\-2&x \ge 4\end{array}\right[/tex]

Next, we plot the functions by their domain

See attachment for the piecewise function.

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Answer:

y = -x/2 + 1/2 or

y = -1/2 x + 1/2

(these are equivalent)

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

So we have to get the y all by itself on the left.

2y + x = 1

Subtract x from both sides.

2y = 1 - x

Divide both sides by 2. Divide all the terms by 2.

2y/2 = 1/2 - x/2

Simplify.

y = 1/2 - x/2

Rearrange the terms on the right side so that the x term is first and the constant is last.

y = -x/2 + 1/2

I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:

y = -1/2 x + 1/2

Step-by-step explanation:

3x-1) 6x^2 + 7x -2 ( 2x+3

-6x^2 -2x

+

0 + 9x -2

- 9x -3

+

1

The population of Tacoma in 2019 would be 1,028,332.

The population can be represented with an exponential equation that has the form:

FV = P (1 + r)^n

200,000 (1.09)^19 = 1,028,332.

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On a coordinate plane, a line goes through (negative 3, 0) and (0, negative 6).

The graph for the first equation of a system is shown in orange. The second equation is: 3y+30=6x

What is the solution to the system?

A. (2, –10)

B. (1, –8)

C. (–2, –14)

D. (2, –6)

Answer: 4.9/5

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6.8K answers

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Answer:

B. (1,-8)

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8

Answer:

No

Step-by-step explanation:

We know that the 3-4-5 and 9-12-15 right triangles are similar. If you add 6 units to the length of each side of both of these triangles, you obtain 9-10-11 and 15-18-21 triangles, which are not similar since 9/15 is not equal to 10/18.

Answer:

See below

Step-by-step explanation:

129 500     original price

selling price =   2 ( 129 500) - 9000 = 250 000

% change   Questions worded like this are often up for debate as to exactly answer the question

250 000 / 129 500 =  193 %      Selling price was 193% of original price

(250 000 - 129500)/ 129500 =   93 % INCREASE

Answer:

[tex]y=11[/tex]

Step-by-step explanation:

⇒ [tex]23 - y[/tex]  (Difference means subtraction)

⇒ [tex]23 - y = 12[/tex] (Subtract 12 from 23)

⇒ [tex]y = 11[/tex] (The difference from 23 - 12)

Hii!

___________________________________________________________

Answer:

y=11

Step-by-step explanation:

Let's set up an equation.

"difference between y and 23" tells us to subtract y from 23, so we'll do just that.

23-y=12

Now subtract 23 from both sides

-y=-11

Divide both sides by -1

y=11 "We solved for the variable"

--

Hope that this helped! Best wishes.

--

Using matrix algebra, the material cost of making one of each product at each location is as follows:​

                       Product X    Product Z

Location A        birr 38          birr 50

Location B        birr 38          birr 49.5

Matrix algebra involves the arrangement of numbers in a rectangular array.

Matrices are arranged in columns and rows to express some mathematical values.

                      Steel    Glass    Plastic

Product X         3            1             2

Product Z         4          0.5           3

                      Steel    Glass    Plastic

Location A      10           2           3

Location B       9           3           4

                      Steel    Glass    Plastic   Total

Location A     30           2           6          38

Location B     27           3           8          38

                      Steel    Glass    Plastic   Total

Location A     40          1             9          50

Location B     36          1.5         12         49.5

Thus, Product X costs birr 38 at locations A and B, respectively, while Product Z costs birr 50 and birr 49.5 at locations A and B, respectively.

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Answer:

y = 21x + 413

Step-by-step explanation:

Use y = mx + b

m represents the slope which in this case is 21.

b represents the y - intercept which in this case is 413.

Now, just fill in the variables.

y = 21x + 413

Hope this helps!

Answer:

4 (2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Answer:

1. 65

2. 52

3. 13

Step-by-step explanation:

For these answers, we can look at the graph:

Question 1:

For the helmet that costs 35 dollars, we look at the x-axis until we find the helmet that aligns with 35.

Then, we look at the y-axis and find the blue dot. The blue dot is the actual consumer rating that was recorded, NOT the red line. The red line is the predicted consumer rating in correlation to the price.

Hence, the consumer rating is 65.

Question 2:

For this, we can look back at the graph and apply the same concept as above. Notice how the 65 plot is 13 points away from the point predicted by the red line.

Therefore, 65 - 13 = 52

Question 3:

Just like the last two questions, we can look at the graph for this. The green line gives us this answer flat out, displaying the distance from the actual rating to the predicted rating.

Hence, the actual consumer rating was 13 above the predicted rating.

Answer:

31742

Step-by-step explanation:

[tex]26900 \times \frac{100 + 18}{100 } = 31742 [/tex]

Answer:

An equation connects two expressions with an equal sign. It shows that the two expressions are equal to each other, like 5 = 5, or for variables, 5x = 2x, which means that x = 0.

Brainliest, please :)

Answer:

An equation is a problem consist sting of many numbers mostly division or mulitiplication

Step-by-step explanation:

Considering a line of best-fit, the approximate number of hours in 72 days on Saturn is given by 768.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are:

(266.67, 25), (373.3, 35), (426.67, 40), (586.67, 55).

Using a calculator, the equation is:

y = 0.09375x + 0.00003455.

For 72 days, we have that y = 72, hence the number of hours is x.

y = 0.09375x + 0.00003455.

72 = 0.09375x + 0.00003455.

x = (72 - 0.00003455)/0.09375

x = 768 hours.

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Answer:

Step-by-step explanation:

The answer to this problem can be found by writing an equation for the total interest in terms of the amounts invested at each rate.

__

Let x represent the amount invested at 9% (the higher rate). Then (11000-x) is the amount invested at 3%, and the total interest earned is ...

  0.09x +0.03(11000 -x) = 750

  0.06x = 420 . . . . . . . subtract 330 and simplify

  x = 7000 . . . . . . . divide by 0.06 . . . amount invested at 9%

  11000 -7000 = 4000 . . . amount invested at 3%

Larry invested $4000 at 3%, and $7000 at 9%.

_____

Additional comment

In "mixture" problems of this type, it generally works well to let the variable represent the amount of the highest-value contributor. That way, the equations end up with positive coefficients, tending to reduce errors.