Uadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. What is the length of A'B'?

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

Answer:

Step-by-step explanation:

x+34+2x+2=180 degree (being liear pair)

3x+36=180

3x=180-36

x=144/3

x=48

Answer:

x + 34° + 2x + 2° = 180°

3x = 180° - 34° - 2°

3x = 144°|: 3

x = 48°

x + 34° = 82°  and  2x + 2° = 50°

Answer:

16.24 Units

Step-by-step explanation:

The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula

Length = √(x2 - x1)^2 + (y2 - y1)^2

Considering the pair (-1, 2), (3, 1), the length of that side

= √(3 -- 1)^2 + (1-2)^2)

= √(16 + 1)

= √17 units

Considering the pair (-1, 2), (7, 2), the length of that side

= √(7 -- 1)^2 + (2-2)^2)

= √(64)

= 8

Considering the pair  (3, 1),  and (7, 2), the length of that side

= √(7 - 3)^2 + (2  - 1)^2

= √(16 + 1)

= √17

Hence the perimeter of the triangle

= √17 + 8 + √17

= 4.12 + 8 + 4.12

= 16.24 Units

Step-by-step explanation:

Firstly, complete the square to put the equation in vertex form,

y

=

−

(

x

+

3

)

2

+

1

This implies that the vertex, or local maximum (since this is a negative quadratic) is

(

−

3

,

1

)

. This can be plotted.

The quadratic can also be factorised,

y

=

−

(

x

+

2

)

(

x

+

4

)

which tells us that the quadratic has roots of -2 and -4, and crosses the

x

a

ξ

s

at these points.

Finally, we observe that if we plug

x

=

0

into the original equation,

y

=

−

8

, so this is the

y

intercept.

All of this gives us enough information to sketch the curve:

graph{-x^2-6x-8 [-10, 10, -5, 5]}

Answer: 102

Step-by-step explanation:

Let the number of adults tickets be represented by x

Let the number of children tickets be represented by y.

We can then form an equation which will be:

x + y = 259 ....... i

6x + 5y = 1397 ...... ii

From equation i, y = 259 - x ...... iii

Put equation iii into ii

6x + 5y = 1397

6x + 5(259 - x) = 1397

6x + 1295 - 5x = 1397

Collect like terms

6x - 5x = 1397 - 1295

x = 102

The number of adult tickets that the theater sold last night is 102.

Answer:

the answer to this is 62.

Answer:

1 . option b

2. option d

Step-by-step explanation:

1) Diameter = 8cm

  Radius = 8/2 = 4cm

2) Diameter = 8cm

   Radius = 4cm

   [tex]Volume = \frac{1}{3} \pi r^2h = \frac{1}{3} \pi 4^2 \times 15 = 16 \pi \times 5 = 80 \pi = 251.2cm^3[/tex]  

9514 1404 393

Answer:

  $409.86

Step-by-step explanation:

The markup multiplies the cost by 1+65% = 1.65. The tax multiplies the marked-up cost by 1+8% = 1.08. Then the final cost of the tent is ...

  ($230×1.65)×1.08) = $409.86 . . . total cost

Answer:

The answer is D. (x - 3) (x + 2)

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

Work Shown:

We use the first term to build to the second term.

Plug in n = 2

f(n) = -4f(n-1) + n

f(2) = -4f(2-1) + 2 ..... n replaced with 2

f(2) = -4f(1) + 2

f(2) = -4*4 + 2 ......... f(1) replaced with 4; since f(1) = 4

f(2) = -16 + 2

f(2) = -14

The second term is -14

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

Repeat for n = 3

f(n) = -4f(n-1) + n

f(3) = -4f(3-1) + 3 ..... n replaced with 3

f(3) = -4f(2) + 3

f(3) = -4*(-14) + 3 ......... f(2) replaced with -14

f(3) = 56 + 3

f(3) = 59

The third term is 59

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

We keep going until we get to f(5)

Plug in n = 4

f(n) = -4f(n-1) + n

f(4) = -4f(4-1) + 4 ..... n replaced with 4

f(4) = -4f(3) + 4

f(4) = -4*(59) + 4 ......... f(3) replaced with 59

f(4) = -236 + 4

f(4) = -232

The fourth term is -232

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

Just one more section

Plug in n = 5

f(n) = -4f(n-1) + n

f(5) = -4f(5-1) + 5 ..... n replaced with 4

f(5) = -4f(4) + 5

f(5) = -4*(-232) + 5 ......... f(4) replaced with -232

f(5) = 928 + 5

f(5) = 933

The fifth term is 933

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

As you can see, recursive sequences can get tedious for fairly large values of n. We need to compute every term before f(5) to figure it out. So if your teacher needed you to compute something like f(10), then it would get even worse. Sometimes it's possible to find a closed formula for it, but it may be tricky to find.

Answer:

6

Step-by-step explanation:

first, look at the first two coefficents, (12,6) 6 can divide 12 and 6 obviously didvides itself so we can day the gcd(12,6) is 6. now look at the last two coefficents (6,18). Similarly we can see that the gcd here is also 6.

finally, look at 12 and 18, neither divide each other so we can try dividing them by our most common gcd so far 6. this yields 2,3. niehter can be simplified further so we can conlcude the gcd of this monomials is 6

Answer:

D.

[tex] \sqrt{384} [/tex]

Step-by-step explanation:

[tex] \sqrt{384} [/tex]

[tex] \sqrt{192 \times 2} [/tex]

[tex] \sqrt{96 \times 2 \times 2} [/tex]

[tex]2 \sqrt{48 \times 2} [/tex]

[tex]2 \sqrt{24 \times 2 \times 2} [/tex]

[tex]2 \times 2 \sqrt{12 \times 2} [/tex]

[tex]4 \sqrt{6 \times 2 \times 2} [/tex]

[tex]4 \times 2 \sqrt{6} [/tex]

[tex]8 \sqrt{6} [/tex]

Therefore Option D is correct..!

Answer:

Step-by-step explanation:

Range is y thing, where as domain is an x thing. The way you state a range (or a domain, for that matter) is to start from the low point on the graph and go up to the high point. Our graph doesn't have a starting point; therefore, the "low" end of the graph comes up from -∞. The high point on the graph maxes out at 3. Therefore, the proper way to state the range (depending upon whether you use set-builder or not) is

R = (-∞, 3] or another way to state this is

R = {y | y ≤ 3} which reads "y such that y is less than or equal to 3".

Answer:

Now Myra has 60 lines of code, no grid picture attached.

Step-by-step explanation:

If Myra removed 20% of the lines and she started with 75 lines of code, then she is removing 1/5 of those lines of code.

75 divided by 5 is 15, and 75 - 15 = 60

Now Myra would have 60 lines of code. It's unclear what grid you are talking about though - could you attach a picture of the grid you need to shade in?

Answer:

21 is A and 23 is D

Step-by-step explanation:

Step-by-step explanation:

BDC = BAC

BAC = 29°

BOC = 2BDC

= 2×29

= 58°

Answer:

m<BAC = 29 degrees

m<BOC = 58 degrees

Step-by-step explanation:

<BAC, <BDC, and <BOC share the same arc.

<BAC and <BDC are inscribed angles, and will have the same angle measure, 29 degrees.

<BAC and <BDC are inscribed angles, so their measure is 1/2 of the measure of the arc.

The measure of arc BC is 58 degrees.

<BOC is a central angle. The angle measure of a central angle is equal to the measure of the arc.

The measure of <BOC is 58 degrees.

Answer:

(0, 1)

(-1, -1)

(1,3)

Step-by-step explanation:

Given the function;

y = 2x + 1

when x = 0

y = 2(0)+1

y = 1

Hence the required pair is (0, 1)

when x = -1

y = 2(-1) + 1

y = -2 + 1

y = -1

Hence the coordinate is (-1, -1)

when x = 1

y = 2(1) + 1

y = 2 + 1

y =3

Hence the coordinate is (1, 3)

Answer:

4/15

Step-by-step explanation:

8/30 = 4/15

Answer:

8/30 or 4/15

hth :)

by simplify the equation the answer is 4905

Answer:

Complementary angles sum to 90°.

∠X has ∠P complementary to it as:

Answer:

$28.80

Step-by-step explanation:

Find how much they will actually pay by multiplying 36 by 0.8:

36(0.8)

= 28.8

So, they would pay $28.80

Step-by-step explanation:

V

=

l

w

h

3

l

Base length

cm

w

Base width

cm

h

Pyramid height

cm

Answer:

Step-by-step explanation:

take 58 degree as reference angle

using cos rule

cos 58=adjacent/hypotenuse

0.52=3.6/x

x=3.6/0.52

x=6.92

x=6.9

Answer:

9

Step-by-step explanation:

394,717.330 rounds to 400,000

Answer:

1. 35/12

2. 23/10

3. 3/4

Answer:

2nd option is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:5

Step-by-step explanation:>

Which exponential function is represented by the

graph?

9

8Hold on, our servers are swamped. Wait for your answer to fully load.

7

6

5

5

4

o f(x) = 2( 3 )

O f(x) = {(2Y

o f(x) = {(

4

3

2-

(1.1

61,0.25) 17

7605

Of(x) = 2(2)

-5 4 3 2 1

1 2 3 4

5

The exponential function is f(x) = 2(3)^x, the correct option is A.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The graphs of the function

Now,

we can identify which exponential function is represented by the graph:

The graph crosses the y-axis at (0, 2), so the y-intercept is 2. This means that a = 2.

The graph is increasing as x increases, so b > 1. We can find b by using another point on the graph, such as (1, 6). We can substitute these values into the formula and solve for b:

f(1) = 2b^1

6 = 2b

b = 3

Therefore, the exponential function will be f(x) = 2(3)^x.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ7

Answer:

[tex]\lim_{x \to 3} g(x) = DNE[/tex]

Step-by-step explanation:

Observations:

Conclusion:

Answer:

A.

Step-by-step explanation:

Got it right