a, b, c and d are positive integers, such that a+b+ ab = 76, c+d+ cd = 54. Find (a+b+c+d)·a·b·c·d.

Answer: b) rotation of 180°, reflection across y-axis

Step-by-step explanation:

The black triangle is in Quadrant IV.

A rotation of 180° will move it to Quadrant II.

The red triangle is in Quadrant I so  you must reflect it across the y-axis.

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: [tex]a^2+8a+12[/tex]

We factorize:

[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]

Therefore, the missing number that will complete the factorization is 6.

Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

Factorization can be defined as a process of resolving a product into factors.

Thus:

a² + 8a + 12

a² + 6a + 2a + 12

(a² + 6a) + (2a + 12)

a(a + 6) +2(a + 6)

(a + 2)(a + 6)

Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

Learn more about factorization on:

https://brainly.com/question/25829061

Answer:

3/4 using equation y2-y1/x2-x1

Step-by-step explanation:

Use the equation y2-y1/x2-x1

x1, y1  x2, y2

(16,12) (0,0)

0-12/0-16= -12/-16= 3/4

Answer:

0.35

Step-by-step explanation:

if you divide them together you get 0.35

Answer:

True

Step-by-step explanation:

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

You have 6x^2 - 7x-20, you add and take 8x so now you have

6x^2 - 7x +8x -8x -20 now you take 6x^2  and the +8x and factorize

6x^2 +8x = 2x( 3x +4 )

and you have -7x -8x-20 = -15x -20 factorize

-5(3x +4 ) add all up.

2x(3x +4) -5(3x +4) and you have

(3x+4)(2x-5)

Answer:

the answer is 0.84

Step-by-step explanation:

assume the two numbers are on a number line and take the absolute value of their difference

Answer:

The two on the bottom, -20-(-10) and -10 + 10

Step-by-step explanation:

Both are the same, since -(-10) equals +10 because the two "-" turn into "+"

Both equal -10

Answer: 1:1.69014084507

Step-by-step explanation:

A sample set contains every possible outcome.

The answer would be:

(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

The sample space of the outcomes is {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

The sample space of the spinner is:

S1 = {R, B}

The sample space of the six-sided number cube is:

S2 = {1,2,3,4,5,6}

When the two sample spaces are merged together, we have:

S = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

Hence, the sample space of the outcomes is (a)

Read more about sample space at:

https://brainly.com/question/5750471

Answer:

y= (x^2-3) + 2

Step-by-step explanation:

It is plus two on the end to go up 2 on the y axis since the question says up two units and in the parenthesis is where you can move the start of and line, exponential line, or parabola to the left or to the right. When in the parenthesis, if you do however many x's and whatever exponent there is if you plus it will go into the negatives, ot left, and minus will go positive, or right. Therefore the answer is y= (x^2-3) +2.

BTW, when writing exponents,  this: ^, is an exponent sign but working on certain platforms will allow you to write them like in the image, and if it can then you should write it like that.

Hope this helps!

Answer:

(1) 1 (2) 0

Step-by-step explanation:

Looking at 1) 2+x²+x;

The coefficient of x is 1 because we see +x in the express which is the same as 1 × x = x.

2) Looking at 2) 2-x²+x³

There is no expression with x but we have x^2 , x^3 . Hence the coefficient of x is 0 because 0×x =0

Answer:

1) 1 and 2) -1

Step-by-step explanation:

1) 2+x²+x

2) 2-x²+x³

Answer:

4x + 10

Step-by-step explanation:

1/2 x 4x =2x

2x + 2x =4x

1/2 x 4 = 2

2 + 8 = 10 Answer: 4x + 10

Answer:4.

Step-by-step explanation:

Answer:

f(5).g(5)

Step-by-step explanation:

(fg)=(f.g)

this is how it starts: (fg)(X)= f(x) [g(x)]

x=5

f(5).g(X)

Answer:

(-3)^3 x^5

Step-by-step explanation:

x*x*x*x*x *(-3)*(-3)*(-3)

There are 5 x terms

x^5

There are 3 (-3) terms

(-3)^3

Multiply theses together

(-3)^3 x^5

The right answer is (-3)^3 x^5

please see the attached picture for full solution

hope it helps...

Good luck on your assignment..

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )

= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]

= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

Answer:

the answer is

3a/2

Step-by-step explanation:

1/2 × 3a = 3a/2

Step-by-step explanation:

1/2 times 3a=3a/2

hence one and a half a, or 1 and 1/2a

Answer:

1/4

Step-by-step explanation:

there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)

Answer:

I think it is C. But i'm probably wrong. I had the same thing but i forget it.

Step-by-step explanation:

Hope it helps.

Answer:

Step-by-step explanation:where is the rest of the question

Answer:

Dogo and Dagger are 55,000 units apart. (I don't know the unit of measurement.)

Step-by-step explanation:

  1 : 1000

55 : 55000

Dogo and Dagger are 55000 units apart (Is it kilometers, centimeters? I don't know what unit of measurement it is.)

Answer:

[tex]h=\frac{1452}{7\pi }[/tex]

Step-by-step explanation:

[tex]84=\pi \left(\frac{7}{11}\right)^2h\\\mathrm{Switch\:sides}\\\pi \left(\frac{7}{11}\right)^2h=84\\\frac{49\pi }{121}h=84\\[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}121\\121\cdot \frac{49\pi }{121}h=84\cdot \:121\\49\pi h=10164\\\mathrm{Divide\:both\:sides\:by\:}49\pi \\\frac{49\pi h}{49\pi }=\frac{10164}{49\pi }\\h=\frac{1452}{7\pi }\\or\\h=66.0266[/tex]

Answer:

h=66

Step-by-step explanation:

84=22/7 *(7/11)^2*h

84=22/7*49/121*h

84=(22*49/7*121) * h   ( we simplify by 7  and 11)

84=2*7/11 *h

84=14/11 *h

84=14h/11

:14

6=h/11

h=6*11

h=66

Answer:

Givens

Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.

Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)

[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]

The window has 16 meters between the four sides, which gives 5 meters per side.

The graph of the function is attached.

Answer:

Step-by-step explanation:

2(n-2) = n-38

Answer:

(D) 3x−4

Step-by-step explanation:

Factor Theorem

Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).

In Option A:

[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]

In Option B

[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]

In Option C

[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]

In Option D

[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]

We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.

Answer:

10

Step-by-step explanation:

took the test on edge

The horizontal distance from Mike to the kite will be 12 feet.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Now,

Since, Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Let the horizontal distance from Mike to the kite = x feet

Hence, We can formulate;

⇒ 20² = x² + 16²

⇒ 400 = x² + 256

⇒ x² = 400 - 256

⇒ x² = 144

⇒ x = 12 feet

Thus, The horizontal distance from Mike to the kite will be 12 feet.

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ5

Answer:

0

Step-by-step explanation:

(f-g)(x) = 12-sqrt(x)

plugging in 144, we get 12 - 12 = 0

one could also do f(x)-g(x) which would yield 24-24=0