One of the roots of the equation x^2-13x+q=0 is 12. Find the other root in the value of the coefficient Q.

speed = distance / time

35 minutes / 60 minutes = 0.583 hours

speed = 49 km / 0.583 hours

Speed = 68.57 km/hr

answer: C. 68.57 km/hour

Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees

Trigonometry identities are expressed as a function of cosine, sine and tangent.

Given the trigonometry expression shown

4cos2θ+9=−14cosθ

Equate to zero

4cos2θ+9 + 14cosθ = 0

According to trig identity

cos2θ = 2cos²θ - 1

Substitute to have:

4(2cos²θ - 1)+9 + 14cosθ = 0

Expand

8cos²θ - 4 + 9 + 14cosθ = 0

8cos²θ+ 14cosθ + 5 = 0

let P = cosθ to have;

8P² + 14P + 5 = 0

Factorize the result

8P² + 10P + 4P + 5 = 0

2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4

P = -1/2 and -5/4

Recall that P = cosθ

If P = -1/2

cosθ = -1/2

θ = -60

Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees

Learn more on trigonometry identity here: https://brainly.com/question/24349828

#SPJ1

Answer:

x because say you have a prime number, 7, a will equal 1 and the other factor is 7 so it must be x

Answer:

[tex]\dfrac xa[/tex]

Step-by-step explanation:

[tex]\text{Let the other factor be k,}\\\\~~~~~~~a \times k =x\\\\\implies k = \dfrac x a\\\\\text{Hence, the other factor is}~ \dfrac xa[/tex]

Answer:

Hi,

Step-by-step explanation:

[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]

Answer:

-6

Step-by-step explanation:

you would use the slope formula y2-y1/x2-x1. the equation should be like 8-2/-2-(-1). Then simplify: 6/-1 or -6

Answer:

A

Step-by-step explanation:

To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.

I hope this helped.

Rotate 90 degrees counterclockwise then translate 2 units up.

Option B is correct.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

In the figure ABCD, is transformed to figure A'B'C'D'.

It is Transformed from Quadrant 1 to quadrant 2

So, the point (x,y) is (-y,x).

It is then moved up by 2 units.

Now, the figure is rotated counterclockwise and translated up by 2 units.

Learn more about transformation here:

https://brainly.com/question/11709244

#SPJ5

Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

The area of polygons formulas to V=2.56m^2

We have to determine,

The volume of the pyramid.

The volume of a pyramid is found using the formula,

V = (1/3) Bh

where 'B' is the base area and 'h' is the height of the pyramid.

hight =2.4m

base=1.4+1.8

base=3.2m

V = (1/3) (3.2)(2.4)

V=2.56m^2

As we know the base of a pyramid is any polygon,

we can apply the area of polygons formulas to find 'B.

V=2.56m^2.

To learn more about the volume visit:

brainly.com/question/1972490

#SPJ1

The probability notation for choosing a red disk is P(red disk)

From the question, we have the following highlights:

Probability notations are represented as:

P(Event)

Since the event is choosing a red flask, the probability would be

P(red disk)

Hence, the probability notation for choosing a red disk is P(red disk)

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

[tex]h=\frac{6}{4}[/tex]

Step-by-step explanation:

[tex]2h-(6h-5)=-1\\2h-6h+5=-1\\-4h+5=-1\\-4h=-6\\\boxed{h=\frac{6}{4}}[/tex]

The area of the rectangle, as shown in the image given is calculated as: 48 square units.

The area of a rectangle = length × width.

Find the length and width of the rectangle:

Area of rectangle ABCD = 8 × 6 = 48 square units.

Learn more about area of a rectangle on:

https://brainly.com/question/25292087

#SPJ1

Answer:

301.224 g

Step-by-step explanation:

Let's divide in the ratio 21:4 the volume of the medal (35cm^3)

copper = (21/25)(35cm^3) = 29.4cm^3

tin = (35 - 29.4)cm^3 = 5.6cm^3

FOR THE COPPER

8.84 : 1 = X : 29.4

X = 259.896(g)

FOR THE TIN

7.38 : 1 = X : 5.6

X = 41.328(g)

(259.896 + 41.328)g = 301.224 g

Answer:

10 + 2√109 ≈ 30.88

Step-by-step explanation:

Median is the central tendency of the data and always exists in the middle of the data set.

The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.

The process of finding the median if the number of data points is even is as follows:

( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)

To know more about median follow

https://brainly.com/question/26151333

#SPJ1

Answer:

Computer game designer.

Step-by-step explanation:

If you want to design a game, you need to have some basic shapes and stuff in it. I'm not sure what else needs to be explained here lol

Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$100000\\ P=\textit{original amount deposited}\\ r=rate\to 6.6\%\to \frac{6.6}{100}\dotfill &0.066\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &20 \end{cases}[/tex]

[tex]100000=P\left(1+\frac{0.066}{2}\right)^{2\cdot 20}\implies 100000=P(1.033)^{40} \\\\\\ \cfrac{100000}{1.033^{40}}=P\implies 27288.97\approx P[/tex]

A circle is a curve sketched out by a point moving in a plane. The equation that Mia will write is S = (360 × A)/(πR²).

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the area of the sector of a circle is given by,

A = (πR²×S)/360°

Now, If Mia solved this equation for S, then the equation that she will write is,

S = (360 × A)/(πR²)

Hence, the equation that Mia will write is S = (360 × A)/(πR²).

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ1

Answer: S = (360 × A)/(πR²).

Step-by-step explanation:

Answer:

Metaphor

Step-by-step explanation:

This is a comparison between the ocean and a magnet, but it did not use like or as, so it is a metaphor.

Answer: The correct answer is 3. metaphor.

Step-by-step explanation:

A hyperbole is an exagerration.

A simile is a comparison used with like or as.

A metaphor is a comparison used without like or as.

Therefore, "The ocean was a magnet pulling me closer to it." includes a metaphor.

Step-by-step explanation:

you first multiply both sides by 4

hence,

40 > 5u > 30

then you just divide by 5 to get

8 > u > 6

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

Gamitin mo utak mo bleh

[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]

Beth's description of the transformation is incorrect

Beth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain

The functions are given as:

g(x) = x - 5 + 1

f(x) = x

When the function f(x) is translated 5 units left, we have:

f(x + 5) = x + 5

When the above function is translated 1 unit up, we have:

f(x + 5) + 1 = x + 5 + 1

This means that the actual equation of g(x) should be

g(x) = x + 5 + 1

And not g(x) = x - 5 + 1

By comparison;

g(x) = x - 5 + 1 and g(x) = x + 5 + 1  are not the same

Hence, Beth's description of the transformation is incorrect

Read more about transformation at:

https://brainly.com/question/17121698

#SPJ1

Step-by-step explanation:

[tex] = 4(t - 5)[/tex]

[tex] = 4t - 4 \times 5[/tex]

[tex] = 4t - 20[/tex]

Answer:

4t - 20

Step-by-step explanation:

[tex]4(t - 5)[/tex]

[tex]4t(5)[/tex]

[tex]= 20[/tex]

[tex]= 4t-20[/tex]

The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).

In this question we know only three vertices of the parallelogram. To determine the missing point we must understand the properties of parallelograms. Vectorially speaking, we can find the missing vertex by using the following property:

[tex]\overrightarrow{AB} = \overrightarrow {CD}[/tex]

[tex]\vec B - \vec A = \vec D - \vec C[/tex]

[tex]\vec D = \vec C + (\vec B - \vec A)[/tex]

D(x, y) = (11, 2) + [(3, 6) - (0, 0)]

D(x, y) = (11, 2) + (3, 6)

D(x, y) = (14, 8)

The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).

To learn more on parallelograms: https://brainly.com/question/11220936

#SPJ1

Answer:

graph C

Step-by-step explanation:

(x+3)(x+1) = 0

therefore x = -3 and x = -1

The probability that Luisa gets 2 diamonds and 2 hearts (in any order) is:

P = 0.022

The probability of getting a particular type of card, is given by the quotient between the number of cards of that type and the total number of cards.

Here, let's assume that the 4 draws are:

diamond-diamond-heart-heart.

In that order.

First, the probability of drawing a diamond card is equal to:

p₁ = 13/52

Because there are 13 diamond cards and 52 cards in total.

Bt after that draw, there will be 12 diamond cards and 51 cards in total, so the probability of getting the second diamond card is:

p₂ = 12/51.

Now, there are 13 heart cards and 50 cards in the deck, so the probability of getting the first heart card is:

p₃ = 13/50

And the probability of getting the second one is:

p₄ = 12/49.

The joint probability will be the product of the 4 individual probabilities, but we also need to take in account the possible permutations, these are:

(using D for diamond and H for heart).

D - D - H - H

D - H - D - H

D - H - H - D

H - D - D - H

H - D - H - D

H - H - D - D

So there are 6 permutations, this means that the probability is:

P = 6*p₁*p₂*p₃*p₄ = 6*(13/52)*(12/51)*(13/50)*(12/49) = 0.022

If you want to learn more about probability:

https://brainly.com/question/251701

#SPJ1

Answer:

22619.47

Step-by-step explanation:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]

=π·30^2·24/3

≈22619.46711