The equation of a straight line passing through the point (0 2) which is perpendicular to the line y=1/4x+5

Answer:

Step-by-step explanation:

The value of x is 15, y is 5 and z is 17 units in the given triangle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

First let us find value of y

We know that hypotensue / leg = leg/y

20/10 = 10/y

Apply cross multiplication

20y=100

y=5

Now let us find x value

20-y=x

20-5=x

x=15

The altitude is √5.15= √75

=8.6

Now by pythagoras theorem, we find value of z

x²+75 = z²

15²+75 = z²

225+75= z²

300= z²

z=17.3

Hence, the value of x is 15, y is 5 and z is 17 units in the given triangle.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Angle is formed by the two rays. The angle with measurement –102° will lie in the third quadrant.

An angle is formed by the two rays, the two rays are known as the two sides of the angle.

As it is given that the measure of the angle is –102°, therefore, the angle will be measured from the positive x-axis in the clockwise direction, therefore, the angle will lie in the third quadrant as shown in the image below.

Learn more about Angle:

https://brainly.com/question/15767203

Answer:

lol

Step-by-step explanation:

aaaaaaaaa stop brainly

Answer:

the guy that invented umbrellas didnt know what to call it so he said "ummm... brella"

Step-by-step explanation:

Answer:

11w + x

Step-by-step explanation:

Step-by-step explanation:

please I don't understand the question

Answer:

what's the question pls?.......

The augmented matrix is,

[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]

We have given system of linear equation is,

[tex]x - y - 4z = 5,2x + 2z = 0 ,4x +y +z = 3.[/tex]

In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.

So, the first row is

[tex]1\ -1\ -4\ 5[/tex]

the second row is

[tex]2\ 0\ 2\ 0[/tex]

and the third row is

[tex]4\ 1\ 1\ 3[/tex]

Therefore the augmented matrix for this linear system is,

[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]

To learn more about the augmented matrix visit:

https://brainly.com/question/14600951

The augmented matrix for the given linear equations will be constructed as follows

[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]

The augmented matrix is generally a matrix form of the given linear equations and the coefficient of the variables are arranged in the form of a matrix.

The given equation has three variables so the matrix form will be of [tex]3\times3[/tex]

The given linear equations are

[tex]x-y-4z=5\\2x+0y+2z=0\\4x+y+z=3[/tex]

From the above equations, we will make an augmented matrix.

[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]

The first equation will be followed by the first row of the matrix and the rest will be followed the same.

Thus the augmented matrix for the given linear equations will be constructed as follows

[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]

To learn more about the Augmented matrix follow

https://brainly.com/question/26103226

put x=4

[tex]\\ \rm\longmapsto y=40(0.6)^4[/tex]

[tex]\\ \rm\longmapsto y=40(2.4)

[tex]\\ \rm\longmapsto y=40(0.13)

[tex]\\ \rm\longmapsto y=5.2ft[/tex]

Answer:

x^2 - 10x + 9

Step-by-step explanation:

Zeros would be 9 and 1, so the equation would be (x-9)(x-1), and multiplying with FOIL gives us x squared -10x+9

Answer:

first is -20 second is -30 and if you add those it is -50

Answer:

40% I think because it is easy to turn a number into percentage.

Answer:

L= P/2 - 6

Step-by-step explanation:

As you know that the Perimeter of a Rectangle = 2(L+W)

since Perimeter = P  and Width = 6

Then P = 2(L+6)

Expanding

P=2L+12  -->  2L=P-12

Then L=(P-12)/2=P/2-6

The perimeter is twice the sum of width and length. Then the length of the rectangle is P/2 – 6 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If the width of a rectangle with perimeter P is 6 units.

Perimeter = P

Width = 6 units

Then the length of the rectangle will be

Perimeter = 2 (Width + Length)

             P = 2 (6 + L)

             L = P/2 – 6

The length of the rectangle is P/2 – 6 units.

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

C.14.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will need to rewrite the Pythagorean Theorem

A^2 + B^2 = C^2

Substitute. tIn this case:

18^2 + x^2 = 82^2

Subtract 18^2

x^2 = 82^2 - 18^2

In order to get x alone, take the root:

x = sqrt(82^2 - 18^2)

And solve:

x = 80

Answer:

The angles 53 and 127 are supplementary.

The angles 56 and 34 are complementary.

The angles 67 and 67 are neither.

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees.

Complementary angles are two angles that add up to 90 degrees.

Add the angles found in each choice to get 180, 90, and 134.

Answer: 1/2 and 2

Step-by-step explanation:

The slope of a line, where the equation is in y=mx+b form, is m.

Answer:

0.96666666666667

Step-by-step explanation:

Answer:

Measure of side a: 6

Measure of side b: 8

Measure of side c: 10

Side a/c: 6/10 = 3/5

Side b/c: 8/10 = 4/5

Side a/b: 6/8 = 2/3

Step-by-step explanation:

[tex]\beta=59\ degrees[/tex]

Step-by-step explanation:

[tex]< ABC+ < BAC=90\ degrees\\ The\ acute\ angles\ of\ a\ right\ triangle\ are\ complementary.[/tex]

[tex]\beta+31\ degrees=90\ degrees\\ Substitute\ < ABC=\beta, < BAC=31\ degrees\ into\\ < ABC+ < BAC=90\ degrees[/tex]

[tex]\beta=59\ degrees\\ Calculate\ \beta+31\ degrees=90\ degrees[/tex]

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99% confidence interval for the population mean is given by:

[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{s}{\sqrt{n}}[/tex]

In which:

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.58[/tex].

The other parameters are symbolic, hence the interval is given by:

[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

(3x^2 + 5x +3) (x + 5)

Answer:

10.25641...% or 10.3%

Step-by-step explanation:

(86/78)/78 = 8/78

8/78 * 100 = 400/39 = 10.25641...%

There are 4 positions in the string that each have 25 choices (any letter in the English alphabet except A) and the other positions are filled with A, so there are 25⁴ possible strings containing exactly 7 A's.

Overall, there are 26¹¹ possible strings of length 11.

Then the probability of randomly generating a string containing exactly 7 A's is

25⁴ / 26¹¹ ≈ 0.000000000106427

Answer:

1. (c-d)(c+d)

2. (2c-3d(2c+3d)

3. (4ab-5cd)(4ab+5cd)

4. cannot be factorised into difference of two squares

By finding the linear equation that relates distance and time, we can see that the complete table is:

time (hours)   distance (miles)

2                              100

1.5                             75

t                              (50)*t

1                                50

6                               300

d/(50)                          d

After a small online search, I've found that the table is:

time (hours)   distance (miles)

2

1.5

t  

                                50

                               300

                                  d

Now, remember the relation:

distance = speed*time.

In this case, we know that the speed is 50 mi/h, so if we define d as the distance and t as the time, we can write:

d = (50mi/h)*t

To complete the table, we just replace the value that appears in the table, and then we solve the equation for the other variable.

First we have t = 2 hours:

d = (50 mi/h)*2h = 100 mi

Then we have t = 1.5 hours

d = (50 mi/h)*1.5 h = 75 mi

Then we assume that we evaluate in t, so there we just write the equation:

d = (50 mi/h)*t

Now we go to the other side of the table, now we evaluate d, so we can write:

t = d/(50 mi/h)

(that is what goes in the table when we need to evaluate in d).

Then the fourth place in the table has d = 50 mi, replacing that:

t = (50mi)/(50 mi/h) = 1h

And finally, we evaluate in d = 300mi

t = (300 mi)/(50 mi/h) = 6h

Then the complete table is just:

time (hours)   distance (miles)

2                              100

1.5                             75

t                              (50)*t

1                                50

6                               300

d/(50)                          d

If you want to learn more about speed, you can read:

https://brainly.com/question/4931057

========================================================

Explanation:

The "move down 7" means the y coordinate 8 becomes 8-7 = 1

We subtract 7 from the y coordinate.

The "move right 8 units" means we add 8 to the x coordinate to get 0+8 = 8

Therefore, the point (0,8) moves to (8, 1)

Check out the diagram below.

Answer: Volume = 349376 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the length*width*height.

We can plug in the values given:

Volume = 412 cm * 4 cm * 212 cm

Volume = 349376 cm^3

Answer:

the awnser is 3 over 9

Step-by-step explanation: bc i like suck\

iykyk

The length of EF from the given diagram is 2.98

The formula for calculating the length of an arc is expressed as;

L = rtheta

where

r is the radius

theta is the subtended angle

Given the following

r = 7/9π

theta = 70 degrees

L = 70/360 * 2 * 7/9π * π

L = 2.98

Hence the length of EF is 2.98

Learn more on length of an arc here; https://brainly.com/question/2005046