Find the size of the of angle x.

9514 1404 393

Answer:

  (3)  12

Step-by-step explanation:

Let x represent the length of leg XY. Then the length of YZ is x/2 and the area  of the right triangle is ...

  A = 1/2bh

  A = 1/2(x)(x/2) = x²/4

  36 = x²/4 . . . . . use the given value for area

  144 = x² . . . . . . multiply by 4

  √144 = 12 = x . . . . . take the square root

The length of leg XY is 12 cm.

9514 1404 393

Answer:

  (a)  vertical compression by a factor of 1/3

Step-by-step explanation:

We can see that g(x) = 1/3f(x). Multiplying a function by a constant scales the graph vertically by that factor. When the magnitude of the factor is more than 1, we say the graph is "stretched." When it is less than 1, we say the graph is "compressed" by that factor.

Here, the scale factor is 1/3, so the graph is "vertically compressed by a factor of 1/3."

_____

Additional comment

My personal preference is for compression to be described by the factor the graph is divided by. I would call g(x) a compression of f(x) by a factor of 3. Modern curriculum authors disagree, calling it compression by a factor of 1/3.

Be careful. Using the currently accepted language, a stretch is always by a number larger than 1, and a compression is always by a number less than 1. This rules out choices C and D simply on the basis of the language used.

__

For many graphs, vertical scaling and horizontal scaling can be interchanged. We note that g(x) is wider than f(x), so could be stretched horizontally by some factor. That factor would be √3. The equation using a horizontal stretch factor would be g(x) = (x/√3)^2. Replacing x by x/k is a stretch by a factor of k in the horizontal direction.

Answer:

E

Step-by-step explanation:

45-165n

15(3-11n)

basically

45/15=3. 165/15=11

Answer: 8 is the value for y.

since x=16 as answered in the previous question, then 10x-3+(3y-1)=180 being in a straight line.

Answer:

7, 11, 13, 17, 19 and 23

Step-by-step explanation:

Answer:

7,11,13,17,23

hope it helps

thank you

Answer:

Thus the function g is the function f stretched vertically by a factor 5.

Step-by-step explanation:

Multiplication of a function by a constant:

When a function is multiplied by a constant a > 1, the function is stretched vertically by a factor of 5.

In this question:

f(x) = x^2

g(x) = 5x^2

Thus the function g is the function f stretched vertically by a factor 5.

Answer:

$200 each.

Step-by-step explanation:

You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:

$600/3 persons = $200/person

Each person obtains $200.

~

Step-by-step explanation:

-6 + 4a = 18

4a= 24

a=6

!!!!!!!!!!!!

Answer:

OC) 6

Step-by-step explanation:

Transpose -6 to the other side

-6 + 4a = 18

4a = 18+6

4a = 24

a = 6

Answer:

Yes, they do

Step-by-step explanation:

Because

6+8=14>9

6+9=15>8

8+9=17>6

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6

Answer:

The z-distribution should be used for this problem.

Step-by-step explanation:

The population distribution is assumed to be normal. Which distribution to use?

If we have the standard deviation for the sample, we use the t-distribution.

If we use the standard deviation for the population, we use the z-distribution.

There is a known standard deviation of 2.2 minutes.

This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.

Answer:

Step-by-step explanation:

C

Answer:

Step-by-step explanation:

Hope this helps  !!

hm//jhfjvxxdfcgjhkjlkl.jjkmmbvdxfoknkbkbkbhb

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but a similar question is attached and solved.

An augmented matrix is a matrix obtained by appending the columns of two given matrices. The augmented matrix can be represented as:

[tex]\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] ^{-1}\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-5/9&-7/18&11/18\\2/9&5/9&-4/9\\1/3&-2/3&1/3\end{array}\right] \left[\begin{array}{c}-1\\10\\-6\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-7\\8\\-9\end{array}\right][/tex]

z = -9

Answer:

A. (-2.28, 3.38)

Step-by-step explanation:

The confidence interval of the slope :

b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (15 - 2) = 13

Tcritical = 2.160369

b = slope Coefficient = 0.54924

S.E = 1.311

Hence, we have :

Confidence interval = 0.54924 ± (2.160369 * 1.311)

Confidence interval = 0.54924 ± 2.832243759

Lower boundary = 0.54924 - 2.83224 = - 2.283

Upper boundary = 0.54924 + 2.83224 = 3.3814

The answer option is A. (-2.28, 3.38)

Your first differential equation is incomplete, so I'll just look at the second one.

y' + 2xy = 4x

Multiply both sides by exp(x ²):

exp(x ²) y' + 2x exp(x ²) y = 4x exp(x ²)

The left side is the derivative of a product:

(exp(x ²) y )' = 4x exp(x ²)

Integrate both sides:

exp(x ²) y = ∫ 4x exp(x ²) dx

For the integral, substitute u = x ² and du = 2x dx :

exp(x ²) y = 2 ∫ exp(u) du

Solve for y :

exp(x ²) y = 2 exp(u) + C

exp(x ²) y = 2 exp(x ²) + C

y = 2 + C exp(-x ²)

Answer:

[tex]y \ge \frac{4x-1}{5}[/tex]

Step-by-step explanation:

Given

[tex]4x - 5y \le 1[/tex]

Required

Solve for y

[tex]4x - 5y \le 1[/tex]

Subtract 4x from both sides

[tex]- 5y \le 1-4x[/tex]

Divide both sides by -5 (the inequality sign changes)

[tex]y \ge \frac{1- 4x}{-5}[/tex]

[tex]y \ge \frac{4x-1}{5}[/tex]

9514 1404 393

Answer:

  1800°

Step-by-step explanation:

The interior angles of a convex polygon with n sides have the sum ...

  angle sum = (n -2)×180°

For the 12-sided dodecagon, the angle sum is ...

  angle sum = (12 -2)×180° = 1800°

The answer is surface area of composite shape= 411.8 Cm²

The circumcenter is the center of the circle that contains the vertices of a triangle

When a triangle is inscribed in a circle, the vertices of the triangle touch the circumference of the circle

A line drawn through the center of the circle and passes through each of the triangle vertex is its circumcenter.

Hence, the name of the required point is the circumcenter

Read more about circumcenter at:

https://brainly.com/question/14368399

#SPJ2

Answer:

B. The point of intersection of the perpendicular bisectors of the side

Step-by-step explanation:

definition of circumcenter as the previos question answered

Answer:

-6

Step-by-step explanation:

Move the variable to the left hand side and change its sign.

5 - 2x + 4x = -7

Collect like terms.

- 2x + 4x = - 7 - 5

2x = - 7 - 5

Calculate the difference.

2x = -12

Divide both sides.

x = -6

9514 1404 393

Answer:

  9 years

Step-by-step explanation:

The simple interest formula is ...

  I = Prt

where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...

  t = I/(Pr) = 1125/(2500×.05) = 1125/125

  t = 9 . . . . years

It will take 9 years for Anna to earn 1125 in interest.

Answer:

8 - (p - 4)

Step-by-step explanation:

8 - (p - 4)

Answer:

Step-by-step explanation:

322.14 cm²

Answer:

x = 58-x-6

x = 58-6-x

x = 52-x

x+x = 52

2x = 52

x= 52/2

x = 26

58-26

= 32

Large number = 32

Small number = 26

I HOPE THIS HELPS YOU!!

Answer:

Area of rectangle = l*b

11*9

99

I think it will help you.

Answer:

first is rectangle

L = 11 m

W = 9m

area = LW

area = 11 × 9

area = 99 sq.m

2nd is circle

D = 21 .6

r = 1/2 × 21.6

r = 10.8

area = 22/7 ×10.8²

area = 336.582 sq.

3rd triangle

B = 8 in

H = 4.6 in

area = 1/2 × 8 × 4.6

area = 18.4 sq.in

4th parallelogram

b = 12 in

h = 3 in

area = b × h

area = 12 × 13

area = 156 sq.in

5th trapezoid

h = 7cm

b1 = 4 cm

b2 = 10 cm

area = ½ ×7 (4 + 10

area =49 sq.cm

Step-by-step explanation:

hope this will help you

Answer:

l=15

Step-by-step explanation:

let length=l

width=w

l=3w-2

w=(l+2)/3

Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43

2(4l+2)≤129

8l+4≤129

8l≤125

l≤125/8

so l=15

________________

P=2(l+w)=2(3w-2+w)=8w-4≤43

8w≤47

w≤47/8

l≤141/8-2

l≤125/8

l=15