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Answer:

2 2/5

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Step-by-step explanation:

Remember the difference of squares:

a² - b² = (a + b)(a - b)

Therefore (2 + i√10)(2 + i√10)

= 2² - (i√10)²

= 4 - (10i²)

= 4 - (10)(-1) because i² = -1

= 4 + 10

= 14.

Answer:

14

Step-by-step explanation:

Note: i^2 = -1

4 + 2i(sqrt10) - 2i(sqrt10) - i^2(sqrt(100))

= 4 - (-10)

= 4 + 10

= 14

Answer:

1. D

2. A

3. B

Step-by-step explanation:

1. Add exponents

2. Multiply exponents to outside exponent and to the 16

3. Distribute exponents

Answer:

58[tex]\sqrt{65}[/tex]

Step-by-step explanation:

you can find the height of this trapezoid by using the pythagorean theorem where the hypotenuse is 18 and one leg is 8 (33-25)

let x = height

[tex]8^{2}[/tex] + [tex]x^{2}[/tex] = [tex]18^{2}[/tex]

[tex]x^{2}[/tex] = 324 - 64

[tex]x^{2}[/tex] = 260     therefore, x = [tex]\sqrt{260}[/tex]

[tex]\sqrt{260}[/tex] = [tex]\sqrt{4}[/tex]· [tex]\sqrt{65}[/tex]  or  2[tex]\sqrt{65}[/tex]

A = [tex]\frac{1}{2}[/tex]h x (sum of the bases)        

bases are 25 and 33

A = (2[tex]\sqrt{65}[/tex]) ÷ 2)58

Answer:

Step-by-step explanation:

6x+14=50

(6x is hourly wage, x being the hours, 14 is the amount he started with, and 50 is what he needs)

6x=36

x=6 hours

Answer:

gogleeee

Step-by-step explanation:

Answer:

f(5)=14

Step-by-step explanation:

f(5)=2(5)+4

f(5)=10+4

f(5)=14

Answer:

14

Step-by-step explanation:

Ignore the f(x) for now.

x is 5, so we plug it in to get 2*5+4. Using PEMDAS, you multiply 2 and 5 to get 10 and add 4 to get 14.

the percentage increase of members at the skating club is 28%

"relative change = (final value - initial value)/ initial value"

percent change = relative change × 100

For given example,

There were 200 members at a skating club. After some new members went in, there were 256 members altogether at the skating club.

initial value (a) = 200

final value (b) = 256

So, relative increase is,

⇒ R = (b - a)/a

⇒ R = (256 - 200)/200

⇒ R = 56/200

⇒ R = 0.28

So, the percent increase is,

⇒ P = R × 100

⇒ P = 0.28 × 100

⇒ P = 28%

Therefore, the percentage increase of members at the skating club is 28%

Learn more about the percentage change here:

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Answer:

Graph 1:

y-intercept =  7

Slope =  -1/2   <--- (It's a fraction) (-1 over 2)

Equation:  y = -1/2x + 7

________________________________

Graph 2:

y-intercept =  4

Slope =  5/6   <--- (It's a fraction) (5 over 6)

Equation:  y = 5/6x + 4

_________________________________

Graph 3:

y-intercept =  9

Slope =  -5/7   <--- (It's a fraction) (-5 over 7)

Equation:  y = -5/7x + 9

Hope this Helps  :)

Answer:

one-solution

Step-by-step explanation:

(x + 2y = 6)2

2x - 3y = 26

2x + 4y = 12

2x - 3y = 26

7y = -14

y = -2

x + 2(-2) = 6

x + -4 = 6

x = 10

Answer:

Step-by-step explanation:

It is two lines, if they intersect there is one solution, if parallel- no solution, if  same lines- infinitely many solutions

Lets put them in slope-intercept form and compare:

As we see the lines have different slopes, so they intersect which means one solution only.

Answer:

70x+4^2+3

Step-by-step explanation:

Step-by-step explanation:

Which means that the first number is 149, the second number is 149 + 1 and the third number is 149 + 2. Therefore, three consecutive integers that add up to 450 are 149, 150, and 151. We know our answer is correct because 149 + 150 + 151 equals 450 as displayed above.

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The three consecutive integers that add up to 450 are 149, 150, and 151.

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of three consecutive even numbers is 450

We need to find the 3rd number of the integers.

Now assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 450

Combine the like terms;

3x+3=  450

X=149

Thus the second number is 149 + 1 and the third number is 149 + 2.

Hence, the 3rd number of the integers would be 151.

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Answer:

you didnt attach anything

Step-by-step explanation:

Answer:

$6.83

Step-by-step explanation:

A brownie costs $3.45, an ice cream costs $2.43, and a cookie costs $0.95. So $3.45 + $2.43 + $0.95 = $6.83.  If you need to know the change if they paid with $10.00 also  . . . That would be $10.00 - $6.83 = $3.17 change.

Answer: 40

Step-by-step explanation:

Fill in variables: 3(6)-8(-2)+6

Multiply: 3(6)=18; -8(-2)=16

Replace: 18+16+6

Combine like terms: 40

Answer:

40

Step-by-step explanation:

Answer:

The measure of x is:

9 inches

Step-by-step explanation:

Perimeter = x + 2(x-4)

perimeter = 19 inches

then:

19 = x + 2(x-4)

19 = x + (2*x) + (2*-4)

19 = x + 2x - 8

19 = 3x - 8

19 + 8 = 3x

27 = 3x

27/3 = x

x = 9 inches.

Answer: This is a fraction equal to

48 kilometers ÷ 3 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

48 kilometers ÷ 3

3 hours ÷ 3

=  

16 kilometers

1 hour

=  

16 kilometers

hour

= 16 kilometers per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras'  theorem to find that side

where c = x   because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

sooo  plug in a = 14 and b = 10

c = [tex]\sqrt{14^{2} + 10^{2} }[/tex]

c = [tex]\sqrt{196+100}[/tex]

c = [tex]\sqrt{296}[/tex]

c= 17.20465.....  ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA  to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp  Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

Ф = 54.4623°  is the angle on the side with 10

the side with 14 then has an angle of 35.5376°

:)

Answer:

should also = 35* if I'm not mistaken

Step-by-step explanation:

if this is wrong I'm very sorry. if no one else helps u with in the next 10 mins I suggest using socratic, it helps me

Answer:

(41/5, 6/5)

Step-by-step explanation:

2x+-2y=14

x+4y=13

You can multiply the first equation by 2 so you can eliminate the y:

2(2x+-2y=14)

4x+-4y=28

Then you can set up both equations to be added together:

 4x+-4y=28

+ x+4y=13    

5x=41

x=41/5

Then you can substitute 41/5 for x in the original equation:

x+4y=13

41/5+4y=13

5(41/5+4y)=5(13)

41+20y=65

20y=24

y=24/20

y=6/5

Check:

2x+-2y=14

2(41/5)+-2(6/5)=14

82/5+-12/5=14

70/5=14

14=14

Answer:

equation is not availble

Step-by-step explanation:

Answer:

x(y² - 4) = 1.512

Step-by-step explanation:

We need to evaluate the following expression for x = 0.2 and y = 3.4 :

x(y² - 4)

Put the values of x and y.

x(y² - 4) = (0.2)((3.4)² - 4)

= (0.2)((3.4)² - 4)

= 0.2×7.56

= 1.512

So, the value of the above expression is 1.512