Answer the questions below. I need letter b and letter c

Answer:

60

Step-by-step explanation:

First set up your equation

All triangles have angles that add up to 180, this means that you can make an equation where all your sides = 180

here is the equation: 7x-3+9x-1+40= 180 (i just wrote all the sides we can see)

Then you'll want to solve for x

7x-3+9x-1+40= 180

first combine like terms. We have a 7x and a 9x, so add them together

This will give you 16x-3-1+40=180

Now since your plain numbers (no variable) are on the same side of the = sign, you can just deal with them now. You can do -3-1+40 which is 36.

Now you have 16x+36=180

Now you'll want to take 36 from both sides. 36 is positive right now so you should do the opposite and subtract it from both 180, and itself.

This leaves you with: 16x=144

You have 16x which is the same as 16 times x. You want to do the opposite again. The opposite of multiplying is dividing so divide 144 by 16. This gives you 9 which is your x value.

Now one last thing. to get A on the triangle you can plug your X value (9) into the equation it gave you (7x-3)

this looks like 7(9)-3. 7 times 9 is 63. 63 -3 is 60.

(you can check your answer by plugging 9 into the other equation and adding everything up. it will equal 180)

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

f(x) = - 2x + 4

Step-by-step explanation:

Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.

We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).

So, the new equation would be f(x) = -2x + 4

Step-by-step explanation:

it simply means that g(x) is f(x) just shifted 3 units upwards.

that means nothing else changes, only whatever y result f(x) produces is increased by 3.

so,

g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4

therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.

the slope stays the same (g(x) is simply a parallel line to f(x)).

the y-intercept (the y-value when x = 0) also increases by 3, and is 4.

the x-intercept (the x-value when y = 0) changes :

0 = -2x + 4

2x = 4

x = 2

the x-intercept is 2.

17722.5 is the cost of the monthly rent for a two bedroom apartment in 30 years

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The current rent of two  bedroom apartment is $850.

The annual inflation rate of 10%.

The time is 30 years

[tex]A=Pe^{rt}[/tex]

P=850

r=10%=10/100=0.1

t=30 years

Plug in these values in formula

A=850[tex]A=850e^{(0.1)(30)}[/tex]

[tex]A=850e^{3[/tex]

A=850(20.85)

A=17722.5

Hence, 17722.5 is the cost of the monthly rent for a two bedroom apartment in 30 years

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Graph (a) represent the equation x+2y=4, and it is a function.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

To determine the function, solve with the help of option,

(A) The graph define the equation of line x+2y = 4

For any value of x, y gives a unique value,

This satisfies the definition of function,

Therefore, graph (A) is a function.

(B)

The graph defines the function x = |y-2|

For one value of x, y has two values,

Thus, values of y are not unique.

(C)

The graph defines the equation of circle x²+y² = 1

For one value of x, y has two values,

Thus, values of y are not unique.

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The equation of line M that is parallel to line K is: x = -5.

A vertical line has a slope that is undefined. Therefore, it has no slope, hence, the equation of the line is expressed as x = b, where b is the point on the x-axis where the line intercepts.

Since line K and line M are parallel to each other, their slope will be the same. Line K has an undefined slope, so also will the slope of line M be undefined. This means line M is a vertical line.

Given that line M passes through (-5, 6), b = -5. To write the equation of the line M, substitute b = -5 into x = b:

x = -5.

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It will take 2.76 seconds an object to fall to the top.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that The height of a building is 1957 feet.

S = the distance

Given d = 16t²  is the function for the height as a function of time.  It will hit the ground when h=0 so:

16t² - 1957 =0

16t² - 1957 =0

16t² =1957

t²  =1957 /16

t=√(1957 /16) seconds

t≈ 2.76 seconds  (to nearest hundredth of a second)

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Answer:

The order of the answers provided are in the order of the photos uploaded in the question :)

Step-by-step explanation:

To find the perimeter we have to add the lengths of all the sides together

To find the area we have to subtract the area of the gaps by the area of the whole shape if it were to be a rectangle or square

1)

2)

3)

4)

5)

Hope this helps, have a great day!!

Answer: C

Step-by-step explanation:

x ∈ R

Answer:

172 cm

Step-by-step explanation:

a=Adult height. n=9 year-old height

a*3/4=n

a*3/4=129

a*3/4 / 3/4 = 129 / 3/4

a = 129 * 4/3   ==> dividing by a number is equal to multiply by its reciprocal

a = 516/3

a = 172 cm

Answer:

17 and -7

Step-by-step explanation:

5 - 17 is -12.

5 - (-7) is 12.

Since we are looking at the absolute value, the sign doesn't matter.

Answer:

238

Step-by-step explanation:

child: $5.10

adult: $8.30

4 times as many adult as children

total: $9119.20

Let c = number of child tickets.

Let a = number of adult tickets.

5.1c + 8.30a = 9119.2

a = 4c

5.1c + 8.3(4c) = 9119.2

38.3c = 9119.2

c = 238.099

There must be a mistake with the numbers because the number of child tickets must be a whole number.

Answer:

it is a linear function

f(x)=4x-4

Step-by-step explanation:

to find slope we use y2-y1/x2-x1

0-(-4)/1-0

4/1

4 is the slope y=mx+b is the slope intercept where m is the slope and b is the y intercept so to find intercept we look for what y equals when x is 0

when x is 0 y is -4 so the is the y intercept and we enter it into equation

y=4x-4

hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

Answer:

where are the numbers?

Step-by-step explanation:

The final cost is lie between the amount $46.00 and $92.00.

An equation is an expression that shows the relationship between two or more numbers and variables.

The coupon is given = 15% off

New price = Cost of meal (1 - coupon)

Now Substitute the known values in the equation;

New price = between 55(1 - 15%) and 100.00 (1 - 15%)

Evaluate;

The final cost of the meal is between $40.00 and $80.00

Tip = 22%

Thus Final cost = New price (1 + tip)

Now Substitute the known values in the equation

Final cost = Between 40.00 (1 + 22%) and 80.00 (1 + 22%)

The Final cost is Between $46.00 and $92.00

Hence, the final cost is lie between the amount $46.00 and $92.00

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Answer:

Step-by-step explanation:

With an APR of 11.5%, Teagan decides to finance the generator for 24 months. 1.29% is Teagan's Rate.

In its most basic form, interest is computed as a percentage of the principle. The interest you would pay, for instance, would only be 5% of $100 if you borrowed $100 from a friend and agreed to reimburse it with 5% interest: $100(0.05) = $5.

An expense associated with borrowing money or other assets is interest. The principal, which represents the amount borrowed, is what's referred to as interest, which is calculated as a percentage of the principal over a specified period of time.

The interest rate for the loan is denoted by this proportion. When you place money in a high-yield savings account, for instance, a bank will give you interest.

= 11.5 x 1/100 = 0.155

= 0.155 ÷ 12 = 0.01291

= 1.29% Rate

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Answer:

25% were knives

Step-by-step explanation:

Step-by-step explanation:

r=17

pi=22/7

22/7×14×2

22×2×2=88

so i cancelled out 7 cuz 7×2 is 14 and so i made 14 as 2

The total number of coins is 35

From the question, we have the following parameters that can be used in our computation:

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

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For the points A(-2,-3), B(0,5), C(2,5), D(4,9) and E(6,13) the slope of the line is 2.

Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.

y - y₁ = m(x - x₁)

In the given table, the points are,

A(-2,-3), B(0,5), C(2,5), D(4,9) and E(6,13)

To find the slope of a line which passes through the given points,

The slope of the line will always the same for any pair of points,

So slope of line having points (-2,-3) and (0,1)

Use slope formula = (y₂-y₁)/(x₂-x₁)

slope = (1-(-3))/0-(-2)

          = 1+3/2

          = 2

The slope of the line is 2.

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The value of the equation 2A - 4B from the given matrices is  [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .

In the question ,

it is given that ,

the matrix A is A = [tex]\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

and the matrix B is B = [tex]\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

we need to find the value of the equation  2A - 4B ,

Step 1: multiplying the matrix A with 2 ,

we get ,

2A = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]

Step 2 : multiplying the matrix B with 4 ,

we get ,

4B = [tex]\left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

So , the equation is represented as

2A - 4B = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-2-28&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]

After  further simplification ,

we get ,

= [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Therefore , The value of the equation 2A - 4B from the given matrices is  [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .

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Answer:

C

Step-by-step explanation:

a relative maximum is a point from which the function starts decreasing

The linear function that represents the situation is y = 1/13x + 3229

Linear function:

The general form of the linear function can be written as,

y = mx + c

where

m refers the slope of the function

c refers the y intercept of the function

Given,

Here we have the table of values.

Now, we have to find the linear equation for this table and we have also need to find the value of C(0).

In order to calculate the linear function of the table, we need the slope and intercept of the given table,

In order to find that, we need a point values.

The point values are obtained from the given table as,

=> (8, 249) and (13, 314)

Now, the slope is calculated as,

=> m = (13 - 8) / (314 - 249)

=> m = 5 / 65

=> m = 1/13

Now, the intercept is calculated as,

=> 249 = 1/13 (8) + c

=> 3337 = 8 + c

=> c = 3229.

Therefore, the linear function of the table is y = 1/13x + 3229.

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Answer:

(√9)³× (√30)²=810

Step-by-step explanation:

Lets first solve (√9)³

√9=3

3^3=27

(√9)³=27

In (√30)², the "²" and the "√" cancel out resulting in 30.

(√30)²=30

So (√9)³× (√30)² can be simplified into 27 x 30

Simplify:

27x30

10(27x3)

10(81)

810

John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .

Let he invested x in the first account at 9%.

Interest = Principal × rate × time

Here rate = 0.09 and time = 1 year

Interest earned = 0.09x

Amount invested at 7% = $(4100-x)

rate = 0.07 and time = 1 year

Interest earned = 0.07(4100-x)

Total interest earned is $307

Hence : 0.09x + 287 - 0.07x = 307

or, 0.02x = 20

or, x = 1000

Amount invested at 7% = $(4100 - 1000) = $3100

Therefore John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest.

Simple interest does not change the principal amount in the same way as compound interest, which adds the interest of one year's principal to the next year's principal to calculate interest.

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The monthly payment, car cost in total, and the interest to be paid, based on the loan amount and the number of years are:

First, find the loan amount:

= Cost of car x ( 1 - down payment percent)

= 14, 800 x ( 1 - 12%)

= $13, 024

Then find the monthly rate and the number of periods:

Monthly rate:

= Yearly rate / 12 months per year

= 4.5% / 12

= 0.375%

Number of periods:

= Number of years x Months per year

= 6 years x 12

= 72 months

Using these, the monthly payment can be found by the formula:

= Loan amount / Present value interest factor of annuity, 72 periods , 0.375%

= 13, 024 / 62.995976235992

= $206.74

Total cost paid on loan for car:

= Monthly payment x Number of months

= 206. 74 x 72

= $14, 885. 52

This means that the total interest paid was:

= Total amount paid on cost of car - Loan amount

= 14, 885.52 - 13, 024

= $1, 861.52

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