Which statements are true about FGH?

Answer:

y = -1x - 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-9) / -2 - 6

8/-8

= -1

y = -1x + b

-1 = -1(-2) + b

-1 = 2 + b

-3 = b

Answer:

f(x) = 8.14x + 300

Step-by-step explanation:

The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.

' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'

According to the given problem,

Amount Leo earns for each hour he works = $8.14

Amount Leo earns in x hours = $8.14x

Amount Leo earns as additional tip per week = $300

Therefore, the function of x is,

⇒ f(x) = 8.14x + 300

Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300

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9514 1404 393

Answer:

  (b)  27

Step-by-step explanation:

It appears as though we're to assume that KM is a diameter, through circle center point N. That makes triangle KLM a right triangle, so angle K is the complement of angle M.

  ∠K = 180° -63° = 27°

Answer:

[tex]42.5\:\mathrm{m^2}[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] in degrees is given by [tex]r^2\pi\cdot\frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the sector.

What we're given:

Solving, we get:

[tex]A_{sector}=5^2\pi\cdot \frac{195}{360}=13.5416666667\pi=42.5424005174\approx \boxed{42.5\:\mathrm{m^2}}[/tex]

*Notes:

Step-by-step explanation:

angle MRP

angle PRS=angle RPN (alternate angles)

2x+x+x+78°=180°(sum of angles of a triangle)

4x+78°=180°

4x=180°-78°

4x=102°

4x/4=102°/4

x=25.5

Answer:

Step-by-step explanation:

x = 10sqrt(2)*cos(60) = 5sqrt(2) = 7.07 approx.

y = 10sqrt(2)*sin(60) = 10sqrt(2)*sqrt(3)/2 = 5sqrt(6)=12.25 approx.

Answer:

34.4% profit

Step-by-step explanation:

C.P. = 1500

S.P. = 2016

Profit% = 34.4%

Answer:

357

Son:tep-by-step explanati

Answer:

54:2 = 27:1

Step-by-step explanation:

54:2 use as fraction 54/2 then divide

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

Answer:

-5i is the imaginary portion

Step-by-step explanation:

a+bi

a is the real part  bi is the imaginary part

-5i is the imaginary portion

Answer:

The slope is -7 and the y intercept is 8

Step-by-step explanation:

g(x) = -7x + 8

This is in the form y = mx +b where m is the slope and b is the y intercept

The slope is -7 and the y intercept is 8

Answer:

452tan37=341km

nearest km

Step-by-step explanation:

please mark me brainliest

Answer:

5

Step-by-step explanation:

the order of the surd is 5

Answer:

Step-by-step explanation: The order of a surd indicates the index of root to be extracted. In a√n, n is called the order of the surd and a is called the radicand. For example, The order of the surd 5√z is 5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line that is going through the center of the circle is the diameter, which, like I just stated, goes through the middle of the circle (cutting it in half). Half of a circle measures 180 degrees. That means that x measures 180 - 122 which is 58 degrees.

Answer:

y=9

Step-by-step explanation:

4(5 - y) = y - 25

4•(5 - y) = y - 25

5y = 45

y = 9

Answer:

-16 because the absolute value of 2 is 2 so -8 x 2=-16

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

h(x)= x^2+11x+30

Step-by-step explanation:

A quadratic function is in the form h(x) = ax^2 + bx + c.

Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.

It should look like this: h(x)= (x+6)(x+5)

Since this is the factored form, we have to solve this equation further.

h(x)= (x+6)(x+5)

h(x)= x^2+6x+5x+30

h(x)= x^2+11x+30

Answer:

Step-by-step explanation:

To calculate the probability of drawing a nickel followed by a quarter without replacement, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels. This can be calculated using combinations, denoted as C(n, r), which represents the number of ways to choose r items from a set of n items. In this case, Ricky is choosing 2 coins from a set of 10 coins:

Total possible outcomes = C(10, 2) = 45

Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is 1 quarter. Thus, the number of favorable outcomes is 1.

Favorable outcomes = 1

Probability (P) of drawing a nickel then a quarter without replacement:

P = Favorable outcomes / Total possible outcomes

P = 1 / 45

Therefore, the probability of selecting a nickel followed by a quarter without replacement is 1/45.

To calculate the probability of drawing a nickel then a dime with replacement, we assume that after each selection, the coin is replaced, and the total number of coins remains the same.

Probability (P) of drawing a nickel then a dime with replacement:

P(nickel then dime) = (Number of nickels / Total number of coins) * (Number of dimes / Total number of coins)

P(nickel then dime) = (2/10) * (5/10)

P(nickel then dime) = 1/10

Therefore, the probability of selecting a nickel followed by a dime with replacement is 1/10.

To calculate the probability of drawing a quarter then a dime with replacement:

Probability (P) of drawing a quarter then a dime with replacement:

P(quarter then dime) = (Number of quarters / Total number of coins) * (Number of dimes / Total number of coins)

P(quarter then dime) = (3/10) * (5/10)

P(quarter then dime) = 3/20

Therefore, the probability of selecting a quarter followed by a dime with replacement is 3/20.

To calculate the probability of drawing a nickel then another nickel without replacement, we need to consider that the second draw must be a nickel and that the first nickel is not replaced.

Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels:

Total possible outcomes = C(10, 2) = 45

Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is only 1 nickel left.

Favorable outcomes = 1

Probability (P) of drawing a nickel then another nickel without replacement:

P = Favorable outcomes / Total possible outcomes

P = 1 / 45

Therefore, the probability of selecting a nickel followed by another nickel without replacement is 1/45.

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Answer:

Angle A = 41, Arc CE = 42, Angle C = 41, Angle D = 40, Angle ABE = 61

Step-by-step explanation:

Angle A = Arc BD/2  (Inscribed Angle)

Angle A = 82/2

Angle A = 41

Arc CE = 2 x Angle CEB (Inscribed Angle)

Arc CE = 2 x 21

Arc CE = 42

Angle C = Arc BD/2 (Inscribed Angle)

Angle C = 82/2

Angle C = 41

Angle D = Arc AC/2  (Inscribed Angle)

Angle D = 80/2

Angle D = 40

Angle ABE = Arc AE/2

Angle ABE = Arc AC + Arc CE/2

Angle ABE = 122/2

Angle ABE = 61

m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.

a. m < A = [tex]\frac{1}{2}[/tex] mBD

= [tex]\frac{1}{2}[/tex] × [tex]78^{0}[/tex]

= [tex]39^{0}[/tex]

b. mCE = 2m < CBE

= 2 × [tex]20^{0}[/tex]

= [tex]40^{0}[/tex]

c. m < c = m < A = [tex]39^{0}[/tex]

d. m < D = [tex]\frac{1}{2}[/tex] mAC

= [tex]\frac{1}{2}[/tex] × [tex]74^{0}[/tex]

= [tex]37^{0}[/tex]

e. m < ABE = [tex]\frac{1}{2}[/tex] mAC + [tex]\frac{1}{2}[/tex] mCE

= [tex]37^{0}[/tex] + [tex]20^{0}[/tex]

= [tex]57^{0}[/tex]

Hence, m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

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Answer:

19/7

Step-by-step explanation:

7 18/49 = 361/49 = √361/√49 = 19×19/7×7 = 19/7

Square root of 7 18/49 is 19/7

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

y = -5x - 3

Step-by-step explanation:

y = -5x + b

2 = -5(-1) + b

2 = 5 + b

-3 = b

Answer:

24 root 6

Step-by-step explanation:

Answer:

the answer is 58•78775383(that is 2^3√3×3√2)

Answer:

the last option, effectively cooling the hot plate down and heating the surrounding up

Answer:

271 prints.

Step-by-step explanation:

So to answer the question, we need to first write a formula to find the answer.

We know that the starting price per month is 6.95 dollars.

The full price is 17.79 dollars.

So we can start this off by writing:

17.79=6.95

Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:

17.79=6.95+0.04p

6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.

These two values combined make 17.79, hense why it is on the opposite side of the equals sign.

So, now we need to find how many papers, p, were printed.

To find this, lets just take our equation, and solve for P like an ordinary problem:

17.79=6.95+0.04p

So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.

Now we have:

10.84=0.04p

Now, we could divide both sides by 0.04.

But remember, the whole point of doing this is to make 0.04p into 1p.

So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.

So lets multiply both sides by 25:

10.84*25 is 271.

Since 10*25 is 250

And

.84*25 is 21.

So now we know:

271=1p

So 271 is your answer!

Hope this helps!

The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.

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

We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:

Total cost = Monthly fee + Cost per print x Number of prints

Using the values given in the problem:

$17.79 = $6.95 + $0.04p

To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:

$10.84 = $0.04p

Then, we can divide both sides by $0.04:

p = 271

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Answer:

24

Step-by-step explanation:

18×(18+14) = x × (x + 0)

"+ 0" because it is a tangent at that point, there is no more line left going through the circle.

576 = x²

x = 24

Answer:

8x8x8x8

Step-by-step explanation: