y = -7x - 21

What is the slope of this equation and what is the Y intercept.

Answer:

an = a1 + 6(n-1)

Step-by-step explanation:

a1 = -9, a5= 15, a10 = 45

Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.

a1= -9

a2= -9+6 = -3

a3= -3+6 = 3

a4= 3+6 = 9

a5= 9+6 = 15

We add 6 each time.

The explicit formula is an = a1 + 6(n-1) because

for example a5 = a1 the first term + 6* (5-1) times

                    a5 = -9 + 6* 4 = -9 + 24 = 15✅

                    a10 = a1 + 6* (10-1)

                    a10 = -9 + 6*9 = 45✅

Answer:

In my opinion he spent 55%

Consider LHS

(sinθ/1+cosθ) + (1+cosθ/sinθ) =

= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]

= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]

= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]

[°.° (a+b)² = a²+2ab+b²]

Here, a = 1, b = cosθ

= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]

= [1+1+2cosθ]/[(1+cosθ)sinθ]

[°.° sin²θ+cos²θ = 1]

= [2+2cosθ]/[1+cosθ)sinθ]

= [2(1+cosθ)]/[(1+cosθ)sinθ]

= 2/(sinθ)

[°.° 2/sinθ = cosecθ]

= 2cosecθ = RHS.

Hence, Proved.

Read more:

Similar Questions

If cosθ =1/3 , then sinθ = _____.

https://brainly.com/question/5470328?referrer

Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...

https://brainly.com/question/25682447?referrer

BrainlyCPT~

Brainly Team

Answer:550

Step-by-step explanation:

Answer:

550

sjjeusuwjwhhsusjsisjisjwnqbisjd

Answer:=> 10 months

Given :

Step-by-step explanation:

Given :

1 / 4 inches = 1 month

Find :

5 / 8 inches = ? months

According to the question :

1 month = 1 / 4 inches

5 / 8 inches = ' x ' months

=> ( 5 / 8 ) / ( 1 / 4 ) = x

=> ( 5 / 8 ) × ( 4 / 1 ) = x

=> ( 5 × 2 ) / 1 = x

=> 10 / 1 = x

=> x = 10.

So, it takes 10 months.

Answer:

it would be 5 months for his hair to grow 5 inches.

Step-by-step explanation:

well, if his hair grows 1 inch per month, and it take 5 months for his hair to grow.

so multiple 1 times 5 and you get you answer

Answer:

One pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel.

Answer:

What do you mean, I'll help.

Step-by-step explanation:

Answer:

y - 7 = 6(x - 2)

Step-by-step explanation:

1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]

2. (Plugging in values)

Therefore, one equation of the line is y - 7 = 6(x - 2).

Answer:

83.333 degress

Also where i solved for side a is pointless i just realised :p

Step-by-step explanation:

okay Imma head into some trig stuff here so sorry.

the hypotenuse of the triangle would be 60m

the height is 50m

Using pythag theorem we can concur that a = 10.488

a = 10.488

b= 50m

c = 60m

now we just use sin (feta) = 50/60

sin(feta) = .8333

or 83.3 degress.

-Gage Millar, Algebra 1/2 tutor

Answer:

7.  x = 9

9. x=7

Answer:

M=4 if not 1/4

Step-by-step explanation:

hope this helps sorry if it was incorrect have a great rest of the day :)❤

Answer:

b= 20.8

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

a= 12

b= ?

c= 24

Equation: 12²+b²=24²

12²= 144

24²= 576

New equation: 144+b²=576

Find b: 576-144=432

[tex]\sqrt432[/tex]= 20.7846097

Round to nearest tenths: 20.8

b= 20.8

Check answer:

144+432=576

Correct!

Half time of krypton 91 = 10s

this means, it reduces to half of the remaining in every 10s

So, In 10 sec , the mass remaining will be :

3/2 = 1.5

After 20 sec, the mass remaining will be :

0.75 g

After 30 sec, the mass remaining will be :

0.375

After 40 sec, the mass remaining will be :

0.1875 g

After 50 sec, the mass remaining will be :

0.09375 g

After 1 minute, the mass remaining will be:

0.046975 g

Answer:

4

Step-by-step explanation:

Answer:

La respuesta seria 3 espero que esto ayude

Step-by-step explanation:

Step-by-step explanation:

since they are consecutive even numbers, one is bigger by 2 than the other number.

so,

x + (x + 2) = 214

2x + 2 = 214

x + 1 = 107

x = 106

so, the 2 numbers are 106 and 108.

Answer:

(2;5)

Step-by-step explanation:

Elimination:

Let's first multiply the first by 2 to clear fractions and write them both in standard form:

[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]

Eliminate x: Multiply the first by 2, then subtract the equations:

[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]

Eliminate y: Multiply the second by 2, then add equations:

[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]

Subtsitution

Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.

[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]

Then let's plug this value into a convenient one - let's say, the first - and find y from there:

[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]

If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.

Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

~ Appreciation is when money increases

~Deperciation is when money decreases

Answer:

D. Convergence hope it helps

Hey there!

“Which one of is greater 0.375 or 3/8?”

3/8

= 3 ÷ 8

= 0.375

.375 = 0.375

0.375 = 0.375

So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

⅜ = 0,375

3 ÷ 8 = 0,375

0,375 = 0,375

True.

Answer:

5x - y = 3

Step-by-step explanation:

Standard form of a linear equation is expressed as Ax + By = C

In order to express the given equation in this form, we need to isolate the constant.  We can achieve this by subtracting 5x from both sides:

y = 5x - 3

y - 5x = -3

If possible, we want A to be positive, so we can multiply both sides by -1:

-1(y - 5x) = -1(-3)

-y + 5x = 3 or 5x - y = 3

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

Answer 1.085

dd

sa

d

sd

a

ds

d

The bus pass cost per day will be $1.05 per day.

The rate is the ratio of the amount of something to a certain unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

Joyce buys a bus pass for the month of March for $32.55.

In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.

⇒ $32.55 / 31

⇒ $1.05 per day

The bus pass cost per day will be $1.05 per day.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

x = √11

Step-by-step explanation:

(x + 3)(x - 3) = 2

=> x² - 3x + 3x - 9 = 2

=> x² - 9 = 2

=> x² = 11

=> x = √11

Hoped this helped.

Answer:

y = -x

Step-by-step explanation:

Answers 1 and 4 have an offset (+2 and -1) that interferes.  x = 2 is not a proportion.  It is simply a statement that x = 2.  It is not allowed in the high stakes room.