2(y - 4) = 4 -2 7 2 6​

9514 1404 393

Answer:

  7 +4i

Step-by-step explanation:

(2 +3i)(2 -i) = 2(2 -i) +3i(2 -i) = 4 -2i +6i +3 = 7 +4i

_____

  i = √-1, so i^2 = -1. Otherwise the product is identical to what you would get if "i" were a variable.

Answer:

Where's the picture

Step-by-step explanation:

The picture...

Answer:

Step-by-step explanation:

so if in 1994 it was = 1,256

1995 =  1256 +  x  = 1,381     {x is 125}

1996 =  1381  +  x  = 1,519     {x is 138}

2007 = it is eleven years from 1996 to 2007 so take the average of the both digits which we will find through adding both the x quantities and dividing it with 2 the answer is 131.5. back to 2007, so multiply 11 with 131.5 which is 1,446.5. now add 1,446.5 to 1519

and the answer is 2,965.5.

hope it helps

Answer:

GHC757.317

GHC181.756

Step-by-step explanation:

Given that :

Discount on sale = 18%

Sale price at 18% discount = 828

828 = 100% - 18%

828 = 82%

The cost at 100% can be represented as :

828 = 0.82

x = 1

Cross multiply :

828 = 0.82x

x = 828 / 0.82

x = 1009.7560

The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :

(100 - 25)% * 1009.7560

0.75 * 1009.7560

= GHC757.317

Discount allowed :

1009.7560 - 828

= GHC181.756

Answer:

4 dollars and something back

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

$3.21

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]40.00-36.79=\boxed{3.21}[/tex]

⸻⸻⸻⸻

She should get $3.21 as her change.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

4000 miles

Step-by-step explanation:

320x1.5=480

(320x5)+(480x5)=4000

4000 miles

Answer:

[tex]4,000\text{ miles}[/tex]

Step-by-step explanation:

Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.

Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.

If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.

Using [tex]d=rt[/tex], the first plane must travel:

[tex]d=320\cdot 5=1600[/tex] miles

The second plane must travel:

[tex]d=480 \cdot 5=2400[/tex] miles

However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]

Answer:

not sure man... goodluck tho

Answer:

Step-by-step explanation:

diameter=12 cm

radius r=12/2=6 cm

area A=πr²=3(6)²=108 cm²

Answer:D.CENTROID

Step-by-step explanation: THE ONLY CORRECT ANSWER IS CENTROID

Step-by-step explanation:

<5 is congruent to <3 ( parallel lines form alternate interior angles)

<4 is congruent to <2 ( parallel lines form alternate interior angles)

the sum of angles 1,4, and 5 equals 180 (angles on a line)

the sum of angles 1,2,3 equal 180 as well

Answer:

speed=200 m/s

Step-by-step explanation:

Answer:

151.25cm

Step-by-step explanation:

First split the the shape into two, a rectangle and a semicircle.

Let's begin with the rectangle. The formula for the area of a rectangle is

A = l × w

A = 16 × 7

A = 112

Now we move onto the semicircle. We know that the length of the long side of the rectangle is 16. Because of the markings, we know that the missing portion of the 6cm line is 16 as well. That means that we would do 16 - 6 to find that small missing length. It gives us 10cm which will act as the diameter for the semicircle.

The formula for the area of a semicircle is

A = [tex]\frac{\pi r^{2} }{2}[/tex]          (fill in what you know)

A = [tex]\frac{3.14 (5^{2} )}{2}[/tex]     (The radius is half the diameter. So 10 ÷ 2 = 5)

A = [tex]\frac{3.14(25)}{2}[/tex]     (Solve what's in the parentheses first)

A = [tex]\frac{78.5}{2}[/tex]          (multiply pi and 25)

A = 39.25

Now all we have to do is add the two areas to get the combined area of the whole.

A = 112 + 39.25

A = 151.25

Answer:

a. About 263.08 m²

Step-by-step explanation:

First find the radius (r):

Area of sector = central angle/360 ×πr²

Area of sector = 85.5 m²

Central angle = 117°

Plug in the values into the equation

85.5 = 117/360 × π*r²

85.5 = 1.02 × r²

85.5 - 1.02 = r²

84.48 = r²

r = √84.48

r = 9.19 m

✔️Find the area of the circle

Area of the circle = πr²

Where,

r = 9.19

Plug in the value

Area = π*9.2²

Area = 265.326663 (this is close to 263.08 cm²)

Area therefore is about 263.08 cm².

Hi there!  

»»————-　★　————-««

I believe your answer is:  

A. Add 7 to both sides of the equation.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\c - 7 = 13\\---------\\\rightarrow c - 7 + 7 = 13 + 7\\\\\rightarrow \boxed{c=20}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Hey there!

Since the given equation is subtracting, we're going to do the opposite of s traction which addition; whereas addition opposite is subtraction, division is multiplication, and multiplication is division. Now that we got that information out the way, we can finally answer your question

The very first step to solving c - 7 = 13 is ADDING 7 to BOTH SIDES because it is the opposite of subtracting

Answer you're looking for: Option A. Add 7 to both sides of the equation

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

answer= 0.6018

Step-by-step explanation:

0.6018150235 to the 4 decimal =0.6018

Answer:

188

Step-by-step explanation:

SR and ST are equal in length so the arc SR and arc ST also have same measurement

since the perimeter of the circle is equal to 360 and arc RT is given as 64

x = (360 - 64) / 2

x = 188

Answer:

[tex]3 \to[/tex] Coefficient of x

[tex](x+2)\to[/tex] Variable

[tex]4 \to[/tex] Constant

Step-by-step explanation:

Given

[tex]3x + 2(x +2) + 4[/tex]

Required

Complete the statements

In 3x, x is the variable; so:

[tex]3 \to[/tex] Coefficient of x

In 2(x + 2), 2 is the variable so:

[tex](x+2)\to[/tex] Variable

4 stands alone. So, it is a constant

[tex]4 \to[/tex] Constant

Answer: In the first term, 3 is a coefficient

In the second term, (x + 2) is a factor

In the last term, 4 is a constant

Step-by-step explanation:

The 3 in the first term is multiplied by a variable, x. So it is a coefficient.

The (x + 2) in the second term is multiplied by 2. So, it is a factor.

The 4 in the last term is not multiplied by anything. It is a fixed value, so it is a constant.

Answer:

2/5.

Step-by-step explanation:

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Answer:

[tex]844\:\text{ft}[/tex]

Step-by-step explanation:

I've created a diagram and added steps on GeoGebra for reference. Please refer to the diagram below:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side (o/a).

Therefore, we have the two equations:

[tex]\begin{cases}\tan 14^{\circ}=\frac{h}{819}\\\tan 7^{\circ}=\frac{h}{819+x}\end{cases}[/tex]

Because [tex]h=h[/tex] (reflexive property), we have:

[tex]819\tan 14^{\circ}=\tan 7^{\circ}(819+x)[/tex]

Isolating and solving for [tex]x[/tex]:

[tex]\frac{819+x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\1+\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}}-1,\\\\x=819(\tan 14^{\circ}\cot 7^{\circ}-1),\\\\x=844.07256243\approx \boxed{844\text{ ft}}[/tex]

Answer:

a) 24

b) 63

c) 2

d) -2

Step-by-step explanation:

you are supposed to try different numbers, but...

X-9 = 15 add 9 to both sides

X = 24

7x/9 = 49 multiply both sides by 9

7x = 441 divide by 7

x = 63

3(x + 6) = 24  divide both sides by 3

(x + 6) = 8   subtract 6 from both sides

X = 2

11x + 2 = -20 subtract 2 from both sides

11x = -22 divide both sides by 11

X = -2

9514 1404 393

Answer:

  A. 2

  B. 6

Step-by-step explanation:

The attachment shows the table of values for exercises A and B.

A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.

__

Additional comment

Here, the function simplifies to ...

  f(x) = (2x)(x -1)/(x -1) = 2x

The simplified function can be evaluated directly at the limit value of x, with no approximation needed.

Answer:

68 × y

Step-by-step explanation:

68y = 68 × y

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

D

Step-by-step explanation:

Given

- (x + 1)² - 4 = 0 ( add 4 to both sides )

- (x + 1)² = 4 ( multiply both sides by - 1 )

(x + 1)² = - 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )

x = - 1 ± 2i , then

x = - 1 + 2i, x = - 1 - 2i → D

Answer:

33:44

Step-by-step explanation:

4*11=44

3*11=33

To complete 2ab of (a+b)²

196 must be added on both sides to get complete square as (x+14)²

Answer:

196

Step-by-step explanation:

Given equation:

[tex]x^2+28x=11[/tex]

Step 1

When completing the square for an equation in the form ax²+bx+c=0, the first step is to move the constant to the right side of the equation.

This has already been done in the given equation:

[tex]x^2+28x=11[/tex]

Step 2  

Add the square of half the coefficient of x to both sides.  

This forms a perfect square trinomial on the left side:

[tex]\implies x^2+28x+\left(\dfrac{28}{2}\right)^2=11+\left(\dfrac{28}{2}\right)^2[/tex]

Simplify:

[tex]\implies x^2+28x+14^2=11+14^2[/tex]

[tex]\implies x^2+28x+196=11+196[/tex]

[tex]\implies x^2+28x+196=207[/tex]

Step 3

Factor the perfect square trinomial on the left side:

[tex]\implies (x+14)^2=207[/tex]

We have now completed the square and can go onto solving the equation.

Therefore, 196 must be added to both sides of the equation to complete the square.

Answer:

[tex]y = - 3x - 5 \\ c = - 5[/tex]