Directions: Simplify each expression by combining like
Terms (pls help if u can )

Answer:

-2, -1/2

Step-by-step explanation:

Step-by-step explanation:

The midpoint of a line segment between two points is given by

[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

where ( x1 , y1) and ( x2 , y2) are the points

From the question

The midpoint of the line segment using points (-5,2) and (1, -3) is

[tex]M = ( \frac{ - 5 + 1}{2} , \frac{2 - 3}{2} )[/tex]

[tex]M = ( - \frac{ 4}{2} , - \frac{1}{2} )[/tex]

We have the final answer as

[tex]M = ( - 2, - \frac{1}{2} )[/tex]

Hope this helps you

Answer:

If X ≤ 1, these side lengths has no sense.

Step-by-step explanation:

We can factored the expression X² + 4X - 5 in a expression in the form:

(X+a) (X+b)

Where a*b = -5 and a+b = 4

That means a could be 5 and b = -1:

(X+5) (X-1)

The side lenghts of the rectangle will not have any sense if ≤ 0. With the factored expression:

(X+5) ≤ 0 ;  If X ≤ -5, these side lengths has no sense.

Also:

(X-1) ≤ 0; If X ≤ 1, these side lengths has no sense.

Both expressions are resumed in:

Answer:

C: Function 2 has the larger maximum at (2, 5).

Step-by-step explanation:

We are given two functions, with Function 1 being described by the graph and Function 2 given by the function:

[tex]f(x)=-x^2+4x+1[/tex]

Notice that the leading coefficient of Function 2 is negative. The graph of Function 1 is curving downwards. So, both functions will have maximum values.

Recall that for a parobala, the maximum (or minimum) values is the y-value of the vertex point. So, let's find the vertex for each function.

For Function 1, we can see that the vertex is at (4,1). Thus, its maximum value is y = 1.

For Function 2, we will need to work out the vertex. Recall that the vertex is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]

Function 2 is defined by:

[tex]f(x)=-x^2+4x+1[/tex]

Therefore, a = -1, b = 4, and c = 1.

Find the x-coorindate of the vertex:

[tex]\displaystyle x=-\frac{(4)}{2(-1)}=2[/tex]

Substitute this back into the function to find the y-coordinate.

[tex]f(2)=-(2)^2+4(2)+1=5[/tex]

So, the vertex of Function 2 is (2,5). Therefore, the maximum value of Function 2 is y = 5.

Since 5 is greater than 1, the maximum value of Function 2 is greater.

The answer is choice C.

Answer:

[tex]Speed = 159.4\ km/hr[/tex]

[tex]Speed = 2.6\ km/m[/tex]

Step-by-step explanation:

The question has missing details; However, the given parameters are

[tex]Speed = 99\ miles/hour[/tex]

Required

Determine the speed in

- kilometre per hour

- kilometre per minute

From the question; we have that

[tex]1\ mile = 1.61\ kilometers[/tex]

[tex]1\ hour = 60\ minutes[/tex]

[tex]Speed = 99\ miles/hour[/tex] can be rewritten as

[tex]Speed = \frac{99\ miles}{hour}[/tex]

It can be further expressed as

[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]

Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'

So;

[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

[tex]Speed = 159.39\ kilometres/hour[/tex]

[tex]Speed = 159.4\ km/hr[/tex] -- Approximated

Solving further to get kilometre per minute equivalent

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

This can be rewritten as

[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]

Recall that [tex]1\ hour = 60\ minutes[/tex]; So,

[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]

[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]

[tex]Speed = 2.5565\ kilometres/minute[/tex]

[tex]Speed = 2.6\ km/m[/tex] --- Approximated

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

Answer:

a

Step-by-step explanation:

The correct answers are Losing 12; Winning 15

Explanation:

The ratio of winning to losing is 5: 6 or 5/6. This means for every 5 winning spaces in the wheel there are 6 losing spaces. This ration should be used to complete the values of the table.

1. The first row shows there are 10 winning and you need to calculate the number of losing spaces. The process is shown below.

[tex]\frac{5}{6} = \frac{10}{x}[/tex] - Express the ratios using fractions; use x to show the missing value

[tex]5x = 60[/tex] - Cross multiply to find the value of x

[tex]x = 60 / 5[/tex] - Solve the equation to find x

[tex]x = 12[/tex] - The number of losing is 12 if there are 10 winning spaces

2. The second row shows there are 18 losing spaces, and you need to calculate the number of winning spaces. Repeat the process.

[tex]\frac{5}{6} = \frac{x}{18}[/tex]

[tex]6x = 90[/tex]

[tex]x = 90 / 6[/tex]

[tex]x =15[/tex] - The number of winning spaces is 15 if there are 18 losing spaces

Answer:

22 and 15 i know because i got it right on khan

Step-by-step explanation:

Please mark mine the brainliest !!

Answer:

the answer to this question is

B. 1/2

hope this helps u

Answer:

7

Step-by-step explanation:

We can see that we have a negative number divided by a negative number, so the negatives cancel each other out.

[tex]56\div8[/tex]

We know that 8 will go into 56 7 times, so [tex]-56\div-8=7[/tex].

Hope this helped!

Answer:

7

Step-by-step explanation:

Answer:

797,000,000 miles

Step-by-step explanation:

Earth is 9.3 X 10^7 miles from the Sun. 9.3 X 10^7 = 93,000,000 miles

Saturn is 8.9 X 10^8 miles from the Sun. 8.9 X 10^8 = 890,000,000 miles

890,000,000 - 93,000,000 = 797,000,000 miles

Answer:

h = 112.5 feets

Step-by-step explanation:

The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :

[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]

We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]

So,

[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]

Now we need to find the maximum horizontal distance possible and at what angle does this occur.

For maximum distance angle should be 45 degrees. Som,

[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]

So, 112.5 feets is the maximum possible distance.

Answer:

Step-by-step explanation:

You can add the numbers in different ways but still get the same answer.

1. 3 + 5 + 4.5 = 12.5

2. 5 + 3 + 4.5 = 12.5

3. 3 + 4.5 + 5 = 12.5

4. 5 + 4.5 + 3 = 12.5

5. 4.5 + 5 + 3 = 12.5

6. 4.5 + 3 + 5 = 12.5

These a couple of different ways you can add the numbers to get the same answer. This shows proof of how the associative property is related and gets you the correct answer no matter how the numbers are positioned.

P.S - You can solve this for different numbers.

Hope this helped,

Kavitha

Answer:

8

Step-by-step explanation:

Given hotel bill = ₹4800

Let initially, number of people = [tex]x[/tex]

Initial Bill of each person = Hotel bill divided by number of people = [tex]\frac{4800}{x}[/tex]

4 people are added to the hotel stay.

i.e. new number of people = [tex]x+4[/tex]

New bill becomes ₹200 less for each person.

New bill for each person = [tex]\frac{4800}{x}[/tex] - 200

Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.

[tex]4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible[/tex]

=============================================

Explanation:

The rule f(x,y) = (x+1,y-1) says to add 1 to the x coordinate and subtract 1 from the y coordinate. So let's say the input point is (7,2). This would move it to (8,1).

Now let's say that you accidentally erased the "(7,2)", but you still have the "(8,1)". You'd have to work through the steps backwards to get back to (7,2)

So you'll effectively use this rule g(x,y) = (x-1, y+1) which is the inverse transformation. Whatever f(x,y) does, the g(x,y) function will undo it and go opposite. We'll subtract 1 from the x coordinate and add 1 to the y coordinate.

------------

So that's what we'll do with the set of points { (1,1), (4,2), (2,-1) }

We have (1,1) become (0,2) after applying the g(x,y) rule

(4,2) becomes (3,3) after using g(x,y)

(2,-1) becomes (1,0) after using g(x,y)

Therefore, the domain is { (0,2), (3,3), (1,0) }

-------------

The mapping diagram is shown below.

Step-by-step explanation:

p² - 4p is subtracted from p² + p - 6 is written as

p² + p - 6 - (p² - 4p)

Remove the bracket and simplify

That's

p² + p - 6 - p² + 4p

p² - p² + 4p + p - 6

We have the answer as

Let the unknown expression be x

Subtract x from the expression to get p - 9

That's

5p - 6 - x = p - 9

x = 5p - p - 6 + 9

x = 4p + 3

The expression is

Hope this helps you

Answer:

Cylinder has a formula

π×r²×h

so of it is open

π×r²×h - π×r²

Answer:

pls give brainiest

Step-by-step explanation:

A=2πr×h(r+h)

Answer:

Step-by-step explanation:

 [tex]\left(\frac12x+\frac12y\right)^2=\\\\=\left[\frac12(x+y)\right]^2=\\\\=\left(\frac12\right)^2\left(x+y\right)^2=\\\\=\frac14\left(x+y\right)^2=\\\\=\frac14(x^2+2xy+y^2)=\\\\=\frac14(x^2+y^2+2xy)=\\\\=\frac14(14+2\cdot5)=\\\\=\frac14\cdot28=\\\\=7[/tex]                          

Step-by-step explanation:

We have given an equation −2x − 13 = 8x + 7

We need to find the operations that is used to find the value of x. It can be done by the following ways.

Subtract 8x on both the sides of the equation

−2x − 13 -8x= 8x + 7 -8x

-10x-13 = 7

Add 13 on both the sides of the equation,

-10x-13+13 = 7+13

-10x=21

Divide by -10 on both sides

[tex]x=\dfrac{-20}{10}\\\\x=-2[/tex]

Hence, the correct option is "Subtract 8x, then add 13, lastly divide by −10"

Answer:

4 cm

Step-by-step explanation:

The volume (V) of milk in the container is

V = 8 × 5 × 12 = 480 cm³

The volume remains the same whatever the position of the container.

let d be the depth then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

Answer:

Step-by-step explanation:

125 = 5 *5 * 5 = 5³

8 = 2 * 2 *2 = 2³

125x⁶ - 8 = 5³(x²)³ - 2³

               = (5x²)³ - 2³     { a³ - b³ = (a -b)(a² + ab + b²)

               = (5x² - 2) ([5x²]² + 5x²*2 + 2²)

                 = (5x² - 2)(25x⁴ + 10x² + 4)

Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴

Answer:

probability that the card is a Queen or a diamond= 0.3269

Step-by-step explanation:

There are 4 queen in a deck of cards and 13 diamond in a deck of cards.

And a deck of cards contains 52 cards total.

Probability of the card selected to be a queen = number of queen/total number of cards

Probability of the card selected to be a queen =4/52

Probability of the card selected to be a queen= 1/13

Probability of the card selected to be a diamond= number of diamond/ total number of cards

Probability of the card selected to be a diamond=13/52

Probability of the card selected to be a diamond=1/4

probability that the card is a Queen or a diamond= Probability of the card selected to be a queen + Probability of the card selected to be a diamond

probability that the card is a Queen or a diamond= 1/13+1/4

probability that the card is a Queen or a diamond= 0.3269

Answer:

C

Step-by-step explanation:

Here, we want to state the interval that has the highest frequency.

What we are asked here is the range of values where we have the the most common salary.

For 0-10, we have 1 ( Estonia)

For 11-20, we have 1 (Israel)

For 21-30 , we have 0

For 31-40, we have 1 ( Greece)

For 41-50, we have 5

For 51-60, we have 3

For 61-70, we have 1 (Luxembourg)

So 41-50 is the class with the highest frequency

Answer:

[tex]\huge\boxed{9}[/tex]

Step-by-step explanation:

[tex]\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}[/tex]

Rule of exponents [tex]a^0 = 1[/tex] , [tex]1/a^m = a^{-m}[/tex]

=> [tex]\sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}[/tex]

=> [tex]\sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}[/tex]

Combining same bases

=> [tex]\sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}[/tex]

When bases are same , powers are to be added

=> [tex]\sf 2 ^{-16-12+28} * 3^{10-8}[/tex]

=> [tex]\sf 2^{-28+28} * 3^2[/tex]

=> [tex]\sf 2^0 * 3^2[/tex]

=> [tex]\sf 3^2[/tex]

=> 9

Answer:

B) 24

D) 48

Step-by-step explanation:

Given:

Two fractions

[tex]\dfrac{1}6 \\and\\\dfrac{3}8[/tex]

To find:

Number that can be chosen as Common denominator such that numerator is also a whole number ?

Solution:

Common denominator for two fractions [tex]\frac{p}{q}[/tex] and [tex]\frac{r}{s}[/tex] is chosen as LCM or multiple of LCM of (q, s).

OR

Common denominator for two fractions is chosen as the Least Common Multiple or multiple of LCM of denominators of the two fractions.

The denominators of the given fractions are 6 and 8.

Let us factorize and try to find the LCM of 6 and 8.

[tex]6 = \underline2 \times 3\\8 = \underline2 \times 2\times 2[/tex]

Common part of the denominators (as underlined) will be taken only once.

So, [tex]LCM = 2 \times 3 \times 2 \times 2 =24[/tex]

Multiples of LCM, 24 = 48

So, the correct answers are:

B) 24 and

D) 48

One equation you can use is y = -12x+752 and you plug in x = 8 to find y.

=================================================

Explanation:

x = number of minutes

y = depth of the submarine

Being at sea level means the depth is y = 0. Diving 752 ft below sea level means the depth is y = 752. It's tempting to make this negative since we're below sea level, but depth values are always positive. They are simply distances you are from the surface of the water. Negative distances are never possible. So this concept might be a bit tricky to get used to.

Possibly equally confusing is the fact that the "12 ft per minute" means the slope is -12. This is because the depth is getting smaller as the submarine gets closer to the surface (aka the sub is rising).

The equation is y = -12x+752. The equation is in the form y = mx+b with m = -12 as the slope and b = 752 as the y intercept. Note how the y intercept is the starting depth value.

From here, we plug in x = 8 to find where the sub is

y = -12x+752

y = -12*8+752

y = -96+752

y = 656

The submarine's depth after eight minutes is 656 feet

----------------------

An alternative equation to use is

y = 12x-752

which is very similar to the other one used earlier. All I did was flip the sign of each term. Now y represents the height of the sub. Negative y values indicate we're below the surface of the water. The slope being positive means the submarine is going upward. The negative y intercept indicates we're starting 752 feet below sea level. Plugging in x = 8 will lead to y = -656, which you'll need to make positive (since all depth values are positive).

As you can probably guess, the change from y = -12x+752 and y = 12x-752 is simply multiplying the right hand side by -1, which explains why the signs flip (and explains how the y value sign flips as well)

Answer:

the amount of camry sold in 2003 = 434000

Step-by-step explanation:

let the number of camry sold be X

then the number of honda accord will be x - 35000

the total will be:

x + x-35000 = 833000

2x = 868000

x = 434000

The amount of Camry sold in 2003 is 434000

Let the number of Camry sold be X

Then the number of honda accord will be x - 35000

The total will be:

x + x-35000 = 833000

2x = 868000

x = 434000

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

Learn more about Problem-solving here: brainly.com/question/23945932

#SPJ2

Answer:

108º

Step-by-step explanation:

subtract outer angle from circle

360º - 252º = 108º

I hope this helps you

find DCG

360-252=108°

angle DBG=1/2(252-108)

angle DBG=72°

Answer:

20100

Step-by-step explanation:

To find the sum of:

[tex]1 + 2 + 3+ 4+ ...... +200[/tex]

As per the trick of Gauss, let us divide the above terms in two halves.

[tex]1+2+3+4+\ldots+100[/tex] and

[tex]101+102+103+104+\ldots+200[/tex]

Let us re rewrite the above terms by reversing the second sequence of terms.

[tex]1+2+3+4+\ldots+100[/tex]  (it has 100 terms) and

[tex]200+199+198+197+\ldots+101[/tex] (It also has 100 terms)

Adding the corresponding terms (it will also contain 100 terms):

1 + 200 = 201

2 + 199 = 201

3 + 198 = 201

:

:

100 + 101 = 201

The number of terms in each sequence are 100.

So, we have to add 201 for 100 times to get the required sum.

Required sum = 201 + 201 + 201 + 201 + . . . + 201  (100 times)

Required sum = 100 [tex]\times[/tex] 201 = 20100

Answer:

No Solution

Step-by-step explanation:

I used a graphing tool to graph the lines. When graphed, the lines are parallel, and they do not intercept at a point.

There is no solution to the system.

Answer:

Step-by-step explanation:

We will use the graphing method.

Graph the both equations. The intersection point coordinates are the solution of the system.

● 2x + 3y = 7

● -4x -6y = -2

The two lines are parallel. So the system has no real solution. If we tried solve it with calculations we will find an impossible result ( 12 = 0)

Responder:

5,52

Explicación paso a paso:

Dado lo siguiente:

Precio por kilo de papa = 1.2

Kg de papa comprada = 2.2kg

Precio por kilo de arroz = 3.7 por kilo

Kg de arroz comprado = 3.2 kg

Valor del boleto emitido para el pago = 20

Precio total de la papa:

Precio * kg comprado

1.2 * 2.2 = 2.64

Precio total del arroz:

Precio * kg comprado

3.7 * 3.2 = 11.84

Cantidad total gastada = (precio total del arroz + precio total de la papa)

2.64 + 11. 84 = 14.48

Cambio pendiente = 20 - 14.48 = 5.52

Step-by-step explanation:

To calculate the compound interest we use the formula

Where

A is the amount

P is the principal

C is the compound interest

To find the amount we use the formula

where P is the principal

r is the rate

n is the period

From the question

P = 4000 rupees

rate = 8%

n = 2 years

Substitute the values into the above formula

That's

A = 4665.6

Since the amount is found we can now find the compound interest

C = 4665.60 - 4000

C = 665.6

Hope this helps you