Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(−2,4) and (7,−8)

Answer:

[tex]f(x)=4(3)^x[/tex]

Step-by-step explanation:

Let [tex]f(x)=ab^x[/tex].

Then,

[tex]ab^{-2}=\frac{4}{9} \\ \\ ab^3=108 \\ \\ \frac{ab^3}{ab^{-2}}=\frac{108}{4/9} \implies b^5=243 \implies b=3 \\ \\ \therefore a(3)^3=108 \\ \\ a=4 \\ \\ \therefore f(x)=4(3)^x[/tex]

The number of children is 123 and the number of adults is 150 for that day.

According to the question,

We have the following information:

273 people used the public swimming pool.

Price for children = $1.25

Price for adults = $2.50

The total amount received = $528.75

Now, let's take the number of children to be x and the number of adults to be y on that day.

So, we have the following expression:

x + y = 273

x = (273-y) .... (1)

1.25x + 2.50y = 528.75

Now, putting the value of x from equation 1:

1.25(273-y) + 2.50y = 528.75

341.25 - 1.25y + 2.50y = 528.75

341.25 + 1.25y = 528.75

1.25y = 528.75-341.25

1.25y = 187.5

y = 187.5/1.25

y = 150

Now, putting this value of y in equation 1, we will find the value of x:

x = 273-y

x = 273-150

x = 123

Hence, the number of children is 123 and the number of adults is 150 on that particular day.

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I can help you with this equation, if you type it out correctly :). The input you made doesn´t make sense.

The selling price of the car is 77,000.

First, let's define what a selling price is.

The selling price is the price the customer pays to purchase the good.

Selling price = Cost price – (100% Loss)/100

We are told that the car cost 70,000 and that 17,500 was lost (12%) in repairs and painting.

The car's total cost is equal to 70,000 + 17,500 = 87,500.

So, the car's cost price is 87,500.

Selling price = 100/12/100 x cost price

= 100/12/100 x 87,500

= 0.88 x 87,500

= 77,000

Consequently, the car is being sold for $77,000.

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Answer:

c=-12

Step-by-step explanation:

Let's solve your equation step-by-step.

2/3c−2=2+c

Step 1: Simplify both sides of the equation.

2/3c−2=2+c

2/3c+−2=2+c

2/3c−2=c+2

Step 2: Subtract c from both sides.

2/3c−2−c=c+2−c

−1/3c−2=2

Step 3: Add 2 to both sides.

−1/3c−2+2=2+2

−1/3c=4

Step 4: Multiply both sides by 3/(-1).

(3/−1)*(−1/3c)=(3/−1)*(4)

c=−12

Answer:

c=−12

The △ABC is congruent to △DCB (△ABC ≅ △DCB) under the SAS condition.

So, △ABC ≅ △DCB:

So, △ABC ≅ △DCB is under SAS condition.

Therefore, the △ABC is congruent to △DCB (△ABC ≅ △DCB) under the SAS condition.

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Answer:

what was one survival event you experienced

Answer: [tex]v=6, w=15[/tex]

Step-by-step explanation:

The pair of alternate interior angles are congruent, so [tex]5v=2w \implies 10w=25v[/tex].

The consecutive exterior angles are supplementary, so

[tex]10w+5v=180\\\\25v+5v=180\\\\\\30v=180\\\\v=6\\\\\implies w=2.5(6)=15[/tex]

Answer:

change = $33

Step-by-step explanation:

ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?

250 - 217 = change

change = $33

{assuming no sales tax]

Answer: $10.50

Step-by-step explanation:

Cot of 1 slice a pizza = $1.75

Cost of 6 slices of pizza = 6 × $1.75

=$10.50

Hence, Robert will pay $10.50 for the 6 slices of pizza and $20 for the membership.

r and s are the parallel lines, if ∠4 equals ∠5.

Given,

The figure with,

Four lines: Line r, Line s, Line l and Line m.

Angles: ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7 and ∠8

Here, we have to find the parallel lines when ∠4 = ∠5

Lets see:

Angle 1 and angle 4 are the same because the opposite angles created by two crossing lines are identical. As a result, angle 1 also equals angle 5.

The corresponding angles are identical when two parallel lines cross across a line. To put it another way, if r and s are parallel, the angles created when l intersects r and s are same. Angle 1 equals Angle 5, Angle 2 equals Angle 6, etc. We can infer that r and s are parallel since we know that angle 1 Equals angle 5.

So, we can conclude that if ∠4 equals ∠5, then r and s are the parallel lines.

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We can simplify the numerical expression to get:

(2/5)*(14 - 27) + (2⁵/16) = -16/5

Here we have the expression:

(2/5)*(14 - 27) + (2⁵/16)

Let's simplify the term in the right first, we know that:

2⁵ = 2*2*2*2*2 = 4*4*2 = 16*2 = 32

Replacing that we get:

(2⁵/16) = 32/16 = 2

Then we get:

(2/5)*(14 - 27) + (2⁵/16) = (2/5)*(14 - 27) + 2

Now we can simplify the term in the left:

(2/5)*(14 - 27) = (2/5)*(-13) = -26/5

Replacing that we get:

(2/5)*(14 - 27) + 2 = -26/5 + 2 = -26/5 + 10/5 = -16/5

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Answer:

Maggie did not combine like terms correctly when she subtracted 7x from both sides of the equation. Here is a correct solution:

4x + 2 = 7x - 25

-3x + 2 = -25

-3x = -27, so x = 9, not -9

The equation to determine the number of hours worked by the plumber is 190 = 35 + 50x and the number of hours is 3.1 hours option (A) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Jerald is having drain issues at his home and decides to call a plumber.

The plumber charges $35 to come to his house and $50 for every hour they work.

Let x be the number of hours:

190 = 35 + 50x

50x = 155

x = 3.1 hours

Thus, the equation to determine the number of hours worked by the plumber is 190 = 35 + 50x and the number of hours is 3.1 hours option (A) is correct.

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Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

Reflexive Property of Congruence said that an angle line segment or any shape is congruent with itself.

For example, a line segment with a length of 5 meters will be the same as another line with 5 meters or a copy of that line so both will be congruent.

Line LR and RL are the same in length thus line LR ≅ line RL.

Angle CBA and angle ABC are the same thus ∠CBA ≅ ∠ABC.

Hence "The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC".

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Answer:

2x + 7y

Step-by-step explanation:

first we need to align the sample sympols

like this

3x -x + 5y + 2y

then you can easily calculate

Answer:

2x+7y

Step-by-step explanation:

3x-×=2x, 5y+2y=7y

2x+7y

Answer: 1/2x - 7

Step-by-step explanation:

1/2x represents half of Van's stamp collection and Rose has 7 less than that.

'less than' is telling you to subtract, so the answer is 1/2x - 7

Answer: 1/2x - 7

Step-by-step explanation:

1/2x represents half of Van's stamp collection and Rose has 7 less than that.

'less than' is telling you to subtract, so the answer is 1/2x - 7

yuckyew DID THIS! NOT ME!

Answer: 3/24 or 1/8 of the pizza

Step-by-step explanation:..

The diagram prove that  m ║n by the consecutive interior angles converse.

The diagram is to prove line m is parallel to line n.

Therefore,

m ║ n

Hence,

m∠1 = 115°, m∠2  = 65° is given.

m∠1 + m∠2 = m∠1 + m∠2 follows the reflexive property of equality.

The reflexive property of equality means that anything is equal to itself

m∠1 + m∠2 = 115° + 65° is the substitution property of equality

Supplementary angles add up to 180 degrees.

m∠1 + m∠2 = 180 is the definition of supplementary angles

∠1 and ∠2 are supplementary when simplify

m ║ n by consecutive interior angles converse.

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Answer:

x = +/-[tex]\frac{\sqrt{291} }{3} -6[/tex]

Step-by-step explanation:

When we solve the linear equation for y, we will get:

8*x/(3*a - 9) = y

That is the solution for the variable y.

Here we have the linear equation:

9*(x + y) = 3*a*y

Where x, y, and a are variables.

We want to solve this linear equation for y, this means that we need to isolate y in one side of the equation, to do so, let's start by expanding the left side:

9*(x + y) = 3*a*y

9*x + 9*y = 3*a*y

Now we move all the terms with y to the right side.

8x = 3*a*y - 9*y = (3*a - 9)*y

Now we divide both sides by 3*a - 9 to get:

8*x/(3*a - 9) = y

That is the equation solved for y.

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Answer:

w=-20

Step-by-step explanation:

-w/5+9=13

-w/5=-1/5w

-1/5w+9=13

Subtract 9 on both side

Multiply both sides by -5/1

w=-20

Answer:

c

Step-by-step explanation:

because you do 12 times 9 minus 100 wich is 125 so yeah

Answer:

you could either make the fraction a decimal or my personal like is to make the decimal a fraction

Step-by-step explanation:

convert the fraction to a decimal or decimal to fraction