Name the triangle congruent to ∆ABC.
∆ABC ~∆ ___

Answer:

f(x)= (x-5)(x+6)

Step-by-step explanation:

First, we find the factors of -30 that add up to +1

We can use 6 and -5

6+(-5)=1

f(x)= x^2+6x - 5x-30

then, we do group factorization

f(x)= x(x+6)- 5(x+6)

f(x)= (x-5)(x+6)

i hope this helps <3

An equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).

The given denominator are (x+3), (x−4) and (x+4).

A mathematical expression that may be rewritten to a rational fraction, an algebraic fraction such that both the numerator and the denominator are polynomials.

Here, an equivalent rational expressions is

[tex]\frac{1}{x+3}+\frac{1}{x-4} +\frac{1}{x+4}[/tex]

The LCM of denominators is (x+3)(x-4)(x+4)

= (x+3)(x²-16)

= x(x²-16)+3(x²-16)

= x³-16x+3x²-48

= x³+3x²-16x-48

Now, [tex]\frac{(x-4((x+4)+(x+3)(x+4)+(x+3)(x-4)}{x^3+3x^2-16x-48}[/tex]

= (x²-16+x²+7x+12+x²-x-12)/(x³+3x²-16x-48)

= (3x²+6x-16)/(x³+3x²-16x-48)

Hence, an equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).

Learn more about the rational expressions here:

https://brainly.com/question/19585906.

#SPJ1

Answer:

[tex]Area = 30[/tex]

Step-by-step explanation:

Given

Rectangle coordinates

[tex]A = (0,4)[/tex]

[tex]B = (4,2)[/tex]

[tex]C = (1,-4)[/tex]

[tex]D =(-3,-2)[/tex]

Required

The area of the rectangle

The area is calculated as:

[tex]Area = Length* Width[/tex]

The length of the rectangle will be represented as:

[tex]Length = AB = CD[/tex]

And the width is:

[tex]Width = BC = AD[/tex]

Calculate distance AB using:

[tex]AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }[/tex]

Where:

[tex]A = (0,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (4,2)[/tex] [tex]--- (x_2,y_2)[/tex]

[tex]AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }[/tex]

[tex]AB = \sqrt{(- 4)^2 +(2)^2 }[/tex]

[tex]AB = \sqrt{16 +4 }[/tex]

[tex]AB = \sqrt{20}[/tex]

Calculate distance BC using:

[tex]BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }[/tex]

[tex]C = (1,-4)[/tex] [tex]---(x_1,y_1)[/tex]

[tex]B = (4,2)[/tex] [tex]--- (x_2,y_2)[/tex]

[tex]BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }[/tex]

[tex]BC = \sqrt{(- 3)^2 +(-6)^2 }[/tex]

[tex]BC = \sqrt{9 +36}[/tex]

[tex]BC = \sqrt{45}[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = AB * BC[/tex]

[tex]Area = \sqrt{20} * \sqrt{45}[/tex]

[tex]Area = \sqrt{20 * 45}[/tex]

[tex]Area = \sqrt{900[/tex]

[tex]Area = 30[/tex]

Answer:

The numbers are blurry on the graph

Answer:

C: 8.06

Step-by-step explanation:

c=a^2+b^2=42+72≈8.06226

Answer:

8.06

Step-by-step explanation:

C2= a2+ b2

C2= 7 squared + 4 squared

C2= 49+16

C2=65

C is the square root of c2

square root 65

C= 8.06

c= 8

Answer:

10 and 64.

16 and 40

Step-by-step explanation:

The product of the two numbers is equal to the product of LCM and HCF

Number 1* Number 2= LCM * HCF

Number 1* Number 2= 8*80

Number 1* Number 2= 640

Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64

so the two numbers will be 10 and 64.

Similalrly the two numbers can also be 16 and 40 and like wise.

Any number greater than 8 dividing 640 will give the second number also.

Answer:

85.13 inches^2 (2dp)

Step-by-step explanation:

Area semi circle:

πr^2/2

π * 4^2 / 2

25.1327412

Area parallelogram

bh

b x h

10 x 6 = 60

60 + 25.1327412 = 85.1327412

Answer:

The answer is (0, 2)

Step-by-step explanation:

Ive also had this question and viewed iver it and said it was right this was some time ago but im glad to help :)

Answer:

Step-by-step explanation:

The first four

Answer:

g(x) = e^(x + 2) + 2

Step-by-step explanation:

First, let's describe the shifts.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, then the shift is upwards.

If N is negative, then the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x - N)

If N is positive, the translation is to the right

If N is negative, the translation is to the left.

Now let's solve the question.

f(x) = e^x

First, we have a vertical shift up of 2 units, then:

g(x) = f(x) + 2

Now we have a shift to the left of 2 units:

g(x) = f(x - (-2)) + 2

g(x) = f(x + 2) + 2

Then:

g(x) = e^(x + 2) + 2

Answer:

6 sessions

Step-by-step explanation:

s= session

silver gym: 30 +  45s

session 1: 75

session 2: 120

session 3: 165

session 4: 210

session 5: 255

session 6: 300

fit factor: 90+ 35s

session 1: 125

session 2 : 160

session 3: 195

session 4: 230

session 5: 265

session 6: 300

Answer:

En la primera habitación son usadas 1200 baldosas.

En la segunda habitación son usadas 600 baldosas.

Sobraron 200 baldosas.

Step-by-step explanation:

Tienes 2000 baldosas, con las que se propone embaldosar dos habitaciones.

Para la primera habitación se han gastado [tex]\frac{3}{5}[/tex] de las baldosas. Esto se expresa como:

[tex]\frac{3}{5}*2000[/tex]

Para multiplicar una fracción por un número entero, el número entero n se puede escribir como la fracción [tex]\frac{n}{1}[/tex]. Luego se multiplica los numeradores y denominadores. En este caso:

[tex]\frac{3}{5}*2000=\frac{3}{5}*\frac{2000}{1} =\frac{3*2000}{5*1} = \frac{6000}{5}[/tex]

Para reducir la fraccion, divide 40 entre 10

[tex]\frac{6000}{5} =[/tex] 6000 ÷5= 1200

Entonces en la primera habitación son usadas 1200 baldosas. Por lo que las que quedan se calcula como:

2000 - 1200= 800 baldosas

De esta cantidad de baldosas que quedaron, [tex]\frac{3}{4}[/tex] son usadas para embaldosar la segunda habitación.  Esto se expresa como:

[tex]\frac{3}{4}*800[/tex]

Resolviendo de igual manera que en el caso de la primer habitación se obtiene:

[tex]\frac{3}{4}*800=\frac{3}{4}*\frac{800}{1} =\frac{3*800}{4*1} =\frac{2400}{4}[/tex]= 2400 ÷ 4= 600

Entonces en la segunda habitación son usadas 600 baldosas. Por lo que, teniendo en cuenta que se tenían 800 baldosas que quedaron de la primera habitación, las baldosas restantes se calculan como:

800 - 600= 200 baldosas

Sobraron 200 baldosas.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Determine the corresponding sides by the same opposite angles.

Opposite sides to 24° angle are FG and KL.

Correct expression is A:

Answer:

3.04 units

Step-by-step explanation:

h = volume / (3.14 x r^2)

86 / (3.14 x 3^3) = 3.04 units

Answer:

D

Step-by-step explanation:

above the third quartile. because it is upper 25% of the data.

Answer:

C.between the 2nd and 3rd quartile

Answer: b

Step-by-step explanation:

Answer:

its 7x+3=x-3

Step-by-step explanation:

it is

Answer:

Step-by-step explanation:

Let the horizontal leg = 4√41 and the hypotenuse = 41 as

Then the vertical leg is:

Since the vertical leg is below the x-axis, its value is -5√41

Then we have:

Correct choice is A

Answer:

Step-by-step explanation: i just take the test

Answer:

-6.5cm/s

Step-by-step explanation:

-19.5/3

Answer:

The probability that the result of one die roll is greater than 4 is the number of events in set A divided by the total number of possible outcomes (the size of the sample space S) and so the probability of getting a number greater than 4 on one die roll is  2/6  which reduces to  1/3 .

Step-by-step explanation:

Assuming you mean “greater”, rather than “greater than or equal to”, the “successful” rolls are 5 and 6. That’s two out of six choices, so the probability is 2/6 or 1/3.

It gets more interesting when you want the total of several dice to be above a certain number, or to get that number on M of N dice rolls.

But the two basic probability formulas work - 1) add up all possible successful results and all possible results, then divide the number of successes into the total. 2) Multiply all the failure probabilities together, then subtract the result from 1 (100%) to get the success probability. With these two rules, you can solve most simple probability problems.

Playing D&D, and want to know the chance of scoring a 17 or 18 total when rolling 3 dice? You can only get an 18 one way - 6 6 6. You can get a 17 three ways - 6 6 5, 6 5 6, or 5 6 6. So that’s 4 chances out of 6 x 6 x 6 possibilities, which is 216. That’s about 1.85%. With quite a bit more work, you can discover the chance of getting a 17 or better when rolling 4 dice and adding the 3 highest.

Answer:

The final cost of the water is $3.22.

Step-by-step explanation:

In order to find the answer, you have to add the tax to the price of the 32 pack of water by calculating 8% of the price and adding that amount to it.

2.98*8%=0.24

2.98+0.24=3.22

According to this, the answer is that the final cost of the water is $3.22.

Answeryou need to write your question better

Answer:

The answer is the fourth one

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

7(2x+8)=4(28)

14x+56=112

14x=112-56

14x=56

x=4

Answer:

3.24m

Step-by-step explanation:

SOH

sin(26)=O/7.4

O=7.4 sin(26)

O=3.24 (3sf)

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles.

Here we apply the concept of the Adjacent angles and linear pair of the angles.

1.) Angle 1 = 90° and Angle 2 = 60°

2.) Angle 4 = 90° and Angle 3 = 70°

3.) Angle 6 = 90° and Angle 5 = 65°