help find the missing side length in the image below

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Answer:

20789

Step-by-step explanation:

The equation of exponential growth is y=A(1+r)^t

A=10,000

r (rate)=0.05 (5% as a decimal)

t (time)=15 (2035-2020=15)

y=10,000(1+0.05)^15

y=20789.2817

you can't have part of a person, so y=20789

Answer:

Step-by-step explanation:

if it has a negative elevation of 282 feet than its below sea level by 282 feet if its 282 feet above with no negative than its 282 feet above sea level i hope this helped

Answer:

hi the answer is b)It is 282 feet below sea level.\

have a nice day!

Step-by-step explanation:

mark me brainliest?

Answer:

She got 10% of the questions wrong !

Step-by-step explanation:

To solve this problem I used cross multiplication

[tex]\frac{x}{100}= \frac{18}{20}[/tex]

18 x 100 =1800

1800 / 20 = 90

Since they are asking what she got wrong, not what she got right, you just need to subtract.

100% - 90% = 10%

hope this helped !

Answer:

10%

Step-by-step explanation:

18/20 Questions = 0.9 or 90% she got right

2/20 Questions = 0.1 or 10% she got wrong

Answer:

C

Step-by-step explanation:

Answer:

0.45d

Step-by-step explanation:

Given that :

Amount of paycheck = d

Amount spent on rent = 18%

Amount spent on insurance = 15%

Amount spent on food = 22%

Amount put into savings = d - 0.18d - 0.15d - 0.22d

Amount put into savings = d - ( 0.18d + 0.15d + 0.22d)

d - 0.55d

Amount put into savings = 0.45d

Answer:

15 miles

Step-by-step explanation:

10x1.5=15

Answer:

15 miles

Step-by-step explanation:

Distance = Speed x Time

= 10 mph x 1.5 h

Answer:

38

Step-by-step explanation:

2(4+5(3))

2(4+15)

2(19)

38

Answer:

38

Step-by-step explanation:

2(4+5*3)

2(4+15)

2(19)

38

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

Answer:

(B) 54 1/8

6×9

Answer:

The answer is x<2

Step-by-step explanation:

First, divide both sides by 5

5x/5 < 10/5

x<10/5

x<2

Answer:

Step-by-step explanation:

Let the number be x

Answer:

B

Step-by-step explanation:

Answer:

433.4

Step-by-step explanation:

Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4

Answer:

Step-by-step explanation:

sin(x+y) = sin(x)cos(y) + sin(y)cos(x)

sin(x-y) = sin(x)cos(y) - sin(y)cos(x)

Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))

= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)

= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))

= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)

= sin^2(x) - sin^2(y)

So L.H.S=R.H.S

Hence proved

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

we are told that before tax the bill is pretax= $78

the tax is 8%

and he left 20% of the pretax for the attendant.

Step two:

let us find the amount he paid for eating with tax

=8/100*78

=0.08*78

=$6.24

with tax the meal cost  is

= 78+6.24

=$84.24

let us solve for the tip he left  (note: it is 20% of the pretax)

=20/100*78

=0.2*100

=$15.6

the tip is $15.6

Step three:

the total amount he paid after eating plus tax and tip is

78+6.24+15.6

=$99.84

Answer:

99.84

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

From your comment, you said D was 30 pieces of meat and 40 pieces of vegetables. The starting ratio is 3:4. A true proportion is 3:4::30:40. 3 and 4 are both multiplied by 10 to get 30 and 40 therefore there would be no leftovers.

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

Answer:

It is d

Step-by-step explanation:

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Answer:

The correct answer is y = 3x + 1.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

Answer:

y=3x + 1

Step-by-step explanation:

I got it right on the assignment and plus im smart

Answer:

d = 20.6 miles

Step-by-step explanation:

Given that,

Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.

It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :

[tex]d=\sqrt{20^2+5^2} \\\\=20.61\ mi[/tex]

So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

Answer

The answer is 14:13

Answer:

The sum produces [tex]5.26*10^{25}[/tex] times more energy that a human.

Step-by-step explanation:

[tex]\frac{3.3*10^{32} }{6.27*10^{6} } \\= 5.26*10^{25}[/tex]

the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.

Answer:

B

Step-by-step explanation: