Simplify (x^2-4x-12)/(x^2-4)

Answer:

198.95 cm²

Step-by-step explanation:

Circumference = 50cm

C = πD

D = C/π

r = D/2

r = 50/π/2

r= 7.957747…..cm

Area = π r²

A = π x 7.957747….²

A = 198.95 cm² (2dp)

Answer:

Y=-3x-11y

Step-by-step explanation:

Not sure but I am pretty sure it is this

Answer: 4

Step-by-step explanation:

If the foot-long sandwhich is 4 feet long, and is cut into parts that are each 1 foot long, then we need to divide 4 by 1.

4 ÷ 1 = 4, so there will be 4 servings after the sandwich is cut.

Answer:

See Below.

Step-by-step explanation:

In the given trapezoid, A and B are the mid-points of QR and PR, respectively.

Question 1)

Please refer to the first diagram below.

As instructed, we will join Q and B to produce QB to meet SR at C.

Statements:                                                Reasons:

[tex]1)\text{ } PQ\parallel SR[/tex]                                                 Given

[tex]2)\text{ } \angle RCQ\cong \angle PQC[/tex]                                     Alternate Interior Angles Theorem

[tex]3)\text{ } B \text{ is the midpoint of } PR[/tex]                        Given

[tex]4)\text{ } PB=BR[/tex]                                               Definition of Midpoint

[tex]5)\text{ } \angle CRB\cong \angle QPB[/tex]                                    Alternate Interior Angles Theorem

[tex]6)\text{ } \Delta CRB\cong \Delta QPB[/tex]                                    AAS-Congruence

[tex]7)\text{ } QB\cong CB[/tex]                                               CPCTC

[tex]8)\text{ }A\text{ is the midpoint of } SQ[/tex]                         Given

[tex]9)\text{ } SA=AQ[/tex]                                                Definition of Midpoint

[tex]10)\text{ } AB\parallel SR[/tex]                                               Triangle Midsegment Theorem

Question 2)

(We will use the proven statements above as "given.")

(And please continue referring to the first figure provided.)

Statements:                                             Reasons:

[tex]1)\text{ } AB\parallel SR[/tex]                                               Given

[tex]2)\text{ } \angle QSR\cong\angle QAB[/tex]                                   Corresponding Angles Theorem

[tex]3)\text{ } \angle SCQ\cong\angle ABQ[/tex]                                   Corresponding Angles Theorem

[tex]4)\text{ } \Delta SCQ\sim \Delta ABQ[/tex]                                  Angle-Angle Similarity

[tex]5)\text{ } \displaystyle \frac{SQ}{AQ}=\frac{SC}{AB}[/tex]                                            CSSTP

[tex]6)\text{ } A\text{ is the midpoint of } SQ[/tex]                       Given

[tex]8)\text{ } SA=AQ[/tex]                                              Definition of Midpoint

[tex]9)\text{ } SQ=SA+AQ[/tex]                                    Segment Addition

[tex]10)\text{ } SQ=2AQ[/tex]                                          Substitution

[tex]11)\text{ } \displaystyle \frac{2AQ}{AQ}=\frac{SC}{AB}[/tex]                                        Substitution

[tex]12)\text{ } \displaystyle 2=\frac{SC}{AB}[/tex]                                               Division Property of Equality

[tex]13)\text{ } 2AB=SC[/tex]                                          Multiplication Property of Equality

[tex]14)\text{ } SR=SC+CR[/tex]                                   Segment Addition

[tex]15)\text{ } \Delta CRB\cong\Delta QPB[/tex]                                Given

[tex]16)\text{ } CR\cong PQ[/tex]                                            CPCTC

[tex]17)\text{ }SR=SC+PQ[/tex]                                   Substitution

[tex]18)\text{ } SC=SR-PQ[/tex]                                   Subtraction Property of Equality

[tex]19)\text{ } 2AB=SR-PQ[/tex]                                 Substitution

[tex]\displaystyle 20)\text{ } AB=\frac{1}{2}(SR-PQ)[/tex]                              Division Property of Equality

Answer:

Given: In trapezium PQRS, A and B are midpoints of diagonals PR and QS.

To Show: AB=1/2(SR-PQ).

Construction:draw midpoints C and D of SP and RQ respectively and join CA and BD

Proof: In triangle SPQ ,C and B are midpoints of SP and SQ

Therefore,by midpoint theorem

CB || PQ and 2CB= PQ ......1

In triangle QSR B and D are midpoints of QS and RQ

Therefore, by midpoint theorem

BD II SR and 2BD =SR..2

In triangle SPR C and A are midpoints of SP and RP

Therefore by midpoint theorem

CA = 1/2 SR .3

From 2

2 BD = SR =

BD =1/2 SR ........4

From 3 and 4

CA = BD ........,.......5

From 1 and 2

SR -PQ= 2 BD -2 CB -

SR-PQ = 2( BD-CB)

From 5

CA = BD ,

Therefore,

1/2(SR-PQ) =AB

AB= 1/2(SR-PQ)

Hence Showed

Answer:

4500

Step-by-step explanation:

4 hours = 3600

8 hours = 4200

10 hours = 4500

Answer:

4√6 /3

Step-by-step explanation:

Answer:

1. 3600 x 25 ÷100 =900

there fore the discount price is p900

3. it means if you add to integers you get 143

so x +x+1=143

2x +1=143

2x+1-1=143_1

2x=142

2x/2 =142/2

x=71

x+1=71+1=72

Answer:

706.5 ft^2

Step-by-step explanation:

area = radius^2 (Pi)

15^2(3.14) = 706.5

Answer:

706.95ft^2

Step-by-step explanation:

Find area of a circle

A=πr^2

A=22/7*15ft^2

A=706.95ft^2

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

Answer:

A) no

B) yes

C) no

D) yes

E) yes

Step-by-step explanation:

Answer:

$14,616

Step-by-step explanation:

The computation of the sales price is shown below:

The regular price is $1,827

And it would be advertised having 8 nights of the regular price so here we assume that the sales price is 8 times of the regular price

so, the sales price is

= $1,827 × 8

= $14,616

9514 1404 393

Answer:

  (x, y) = (10, 6)

Step-by-step explanation:

Any of the usual methods work to solve this: elimination, substitution, graphing, matrix methods. For a "no-work" solution, I prefer a graphing calculator.

__

In the second equation, both x and y have coefficients of ±1, so substitution or elimination can be used with equal ease. Adding x to the second equation gives an expression for y that can be substituted in the first equation.

  y = x -4

  -3x +8(x -4) = 18

  -3x +8x -32 = 18 . . . eliminate parentheses

  5x = 50 . . . . . . . . . add 32, collect terms

  x = 10 . . . . . . . . . . .divide by 5

  y = 10 -4 = 6 . . . . . use the expression for y to find y

The solution is (x, y) = (10, 6).

Answer: A. We will divide total seeds by the number of total rows.

300 seeds will be planted in each row.

Step-by-step explanation:

Given: Total seeds = 2700

Total rows = 9

If each row will have the same number of seeds.

Then,  the number of seeds will be planted in each row = (Total seeds) ÷ (Total rows)

= 2700÷9

= 300

Hence, 300 seeds will be planted in each row.

Answer:

x2(x−8)(x−7)

Step-by-step explanation:

Factor

Factor x2 out of x4−15x3+56x2.

x2(x2−15x+56)

x2(x−8)(x−7)

Answer:

11

3

-3

-12

Step-by-step explanation:

Answer:

1) 11

2) 3

3) -3

4) -12

Answer:

d= 1/ 4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

-16(d + 1) = -20

-16d - 16 = -20

-16d - 16 + 16 = -20 + 16

-16d = -4

-16d/-16 = -4/-16

d = 1/4

Answer:

4/13

Step-by-step explanation:

There are three face cards and four of each, plus four ace cards, for a total of 16.  Thus, the probability of drawing an ace or a face card is 16/52, or 8/26, or 4/13.

Answer: 4/13

brains and stupi head combined

Step-by-step explanation:

if X = 1

then f(x)=2×1-8 = 6

I'm not sure

Answer:

i think its 3

Step-by-step explanation:

21/7=3

The second figure OA' divided by first figure OA = 21/7=3

Answer:

y=10

Step-by-step explanation:

Let x equal 0

7(0)+y=10

0+y=10

y=10

Answer:

x=70+50

x=120

tell me if u need explanations or steps

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

Answer:

Step-by-step explanation:

50 degree

Answer:

52°

Step-by-step explanation:

Let the measure of the third angle be x°.

Since, straight line is broken into three angles. So, the sum of all the three angles will be equal to 180°.

38° + 90° + x = 180°

128° + x = 180°

x = 180° - 128°

x = 52°

Answer:

52°

Step-by-step explanation:

So, we basically know that,

A straight Angle=180°

When it has been broken into 3 pieces, we have gotten one which is 38°and a right angle.

Now , we know that

A right angle= 90°

So, we need to do,

Sum of known angles= 38+90=128°

Lastly,

Unknown angle = 180° - 128° = 52°

Answer:

9i

Step-by-step explanation

Answer: I’m 95% sure it’s A

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

Answer:

10 is 20% 5 is 10% 1 is 2% 17 is 34%

Step-by-step explanation:

Kinda hard to explain.

Answer:

20%

10%

2%

34

Step-by-step explanation: HOPE THIS HELP PLEASE MARK ME AS BRAINLISTI