Expand the following:
a) 3(x + 5)
b) 4(x-4)
c) 2(5x + 1)
d) 7(x-9y)

Answer:

y=x-2

Step-by-step explanation:

If you have drawn the graph of [tex]y = x^2 - 3x + 1[/tex].

To determine the equation of the line which  should be drawn to solve the equation:  x² - 4x +3=0

Simply carry out the subtraction: [tex]x^2 - 3x + 1 -(x^2 - 4x +3)[/tex]

[tex]\implies x^2 -3x + 1-x^2 + 4x -3 \\= x^2 - x^2+ 4x - 3x-3 + 1\\=x-2[/tex]

The equation of the line which should be drawn is: y=x-2

What this means is simply:

If

[tex]y = x^2 - 3x + 1$ and $y=x-2,$ then:\\x^2 - 3x + 1=x-2\\x^2 - 3x + 1-x+2=0\\x^2 - 4x + 3=0[/tex]

Answer:

Option D is the correct option

Step-by-step explanation:

As RT is a tangent on point P, so it will form a right angle at point P with the radius.

So, angle APT = 90 degrees.

Hope this helps...

Good luck on your assignment...

The measure of the (angle ATP ) is 90 degrees.

The normal line is defined as the line that is perpendicular to the tangent line at the point of tangency.

As RT is a tangent on point P, so it will form a right angle at point P with the radius.

So, angle APT = 90 degrees.

Option D is the correct option.

To learn more about the tangent visit:

https://brainly.com/question/4470346

Answer:

1/72

Step by step:

The probability of rolling a seven is 1/6 as there are 36 combinations you can roll on two dice, and six of them add up to 7. The probability of rolling a 4 is 1/12 as there are 3 ways to roll a 4. Multiplying these together you get 1/72.

Answer:

∠ ABE = 46°

Step-by-step explanation:

Since BE bisects ∠ ABC , then

∠ EBC = ∠ ABE, substitute values

4x - 6 = 2x + 20 ( subtract 2x from both sides )

2x - 6 = 20 ( add 6 to both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Thus

∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°

Answer:

Graph

Step-by-step explanation:

The graph swapped the y and x axis values.

Answer:

Graph

Step-by-step explanation:

Answer:

the ratio would be 1:4

Step-by-step explanation:

ratio of those who has nuts:

1/5

ratio of those who dont:

1-1/5=4/5

one against another:

1/5 : 4/5 = 1:4 = with : without

Answer:

1st Graph

Step-by-step explanation:

Simply use a graphing calculator and plug in the systems of equations into the graph. We then choose the closest-resemblanced graph.

Answer:

Its the first graph

Step-by-step explanation:

got it right on the test

Answer:

Your answer is wrong because you reflected it over the y-axis, not the x-axis. To find the correct answer, plot a triangle with vertices at (1, -1), (4, -1) and (4, -3). Note that we switch the sign of the y-coordinate when reflecting over the x-axis.

Answer:

X=8.8 and Y=1

Step-by-step explanation:

Answer:

Check it below

Step-by-step explanation:

According to GHG platform India, in the period between [2011-2015] there was a growth of emissions in tons of Carbon Dioxide. As it follows below.

The Energy sector is the segment that contributes the most with this, followed by the Agricultural and the Industries and the Waste.

Answer:

(D)E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Step-by-step explanation:

The table of the probability of rolling the sums is presented below.

[tex]\left\begin{array}{ccccccccccccc}$Roll&2&3&4&5&6&7&8&9&10&11&12\\\\$Prob&\frac{1}{36}&\frac{2}{36}&\frac{3}{36}&\frac{4}{36}&\frac{5}{36}&\frac{6}{36}&\frac{5}{36}&\frac{4}{36}&\frac{3}{36}&\frac{2}{36}&\frac{1}{36} \end{array}\right[/tex]

P(an even sum)

[tex]=\frac{1}{36}+\frac{3}{36}+\frac{5}{36}+\frac{5}{36}+\frac{3}{36}+\frac{1}{36} \\\\=\frac{18}{36}[/tex]

Therefore, P(an odd sum) [tex]=\frac{18}{36}[/tex]

Therefore, E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Answer:

D /Even-odds

Step-by-step explanation:

just took test on edge 2020

Answer:

Step-by-step explanation:

g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x.  Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Step-by-step explanation:

Answer:

To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.

7a - 11b - (2a + b + a - 9b)

= 7a - 11b - (3a - 8b)

= 7a - 3a - 11b + 8b

= 4a - 3b

Answer:

by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.

Step-by-step explanation:

Answer:

Shorting distance = 6 km

Step-by-step explanation:

Given:

Distance walk = 7 km west

Distance walk = 24 km north

Find:

Shorting distance

Computation:

Using Pythagorean theorem:

Magnitude AB = √AC² + BC²

Magnitude AB = √7² + 24²

Magnitude AB = √49 + 576

Magnitude AB = 25 Km

Total distance Nick walk = 7 km + 24 km

Total distance Nick walk = 31 km

Shorting distance = 31 km - 25 km

Shorting distance = 6 km

Answer:

1/10, 3/10, 0.9

Step-by-step explanation:

Convert to decimals.

1/10 = 0.1

0.9

3/10 = 0.3

Arrange from least to greatest.

0.1, 0.3, 0.9

1/10, 3/10, 0.9

Answer:

y = -4

Step-by-step explanation:

5.1y = –0.3y – 21.6

5.1y + 0.3y = -21.6

5.4y = -21.6

y = -4

Answer:

y=  -4

Step-by-step explanation:

Solve this equation with a variable term on both sides.

5.1y = –0.3y – 21.6

What is the solution?

y =  -4

Answer:

O=on

X=off

OXXOXOX  after 2011 flips.

Step-by-step explanation:

There are many ways to get the answer.

A. Actually flip them 2011 times.

One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.

Now flip the cards in order A to G 2011 times and find the answer.  

Since you have four days to find the answer, you only have to flip about 500 times a day.

B. Simplify procedure A above.

Do the same as above, actually flip the cards, but only 14 times.

You will find that the cards are restored to the original position after 14 flips.  

If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.

We know we don't have to make 143 sets of 14 flips.  We only need to make 9!

Then again, we know that after 7 flips, the lights will be all opposite.

If O=on, and X=off then the situations are

OXOXOXO  initial

XOXOXOX  after 7 flips

OXXOXOX  after 9 flips, which is also after 2011 flips, and that is the final answer.

Answer:

The temperature needed to melt the chocolate = 86  degree Fahrenheit.

Step-by-step explanation:

The given temperature = 30 degrees Celsius.

Now we have to calculate the temperature in Fahrenheit. So just covert the given degree Celsius into Fahrenheit. Therefore multiply the 30 with 9/5 and add the 32 so the remaining answer is the temperature in the Fahrenheit. Below is the calculation to convert the degree Celsius into Fahrenheit.

Temperature = 30 × 9/5 + 32 = 86 Fahrenheit.

Answer:

x=0 , y=4

Step-by-step explanation:

3x - 3y = -12        - eq1

4x + 3y = 12        - eq 2

Add eq 1 and 2

3x - 3y + 4x +3y = -12 + 12

7x = 0

x = 0

By substituting the value of x in  eq 2

4x + 3y = 12

4(0) + 3y = 12

3y = 12

y = 12 / 3

y = 4

Answer:

(x,y)=(24,-28)

Step-by-step explanation:

1. Multiply both sides by -1

3x+3y=-12

-4x-3y-=-12

2. Elimnate one variable by adding the equations

-x=-24

3. Change the signs

x=24

4. Susbstitue the value of x in the equation 3x+3y=-12

3 x 24 + 3 y = -12

y=-28

5. Check the solution by plugging in the values.

(x,y)=(24,-28)

Answer:

12

Step-by-step explanation:

Because you would divide the total number of points which is 48 by the number of games he's played which is 4 and you would get 12, since 48 divided by 4 is 12

Answer:12

Step-by-step explanation:hope this help

Answer:

68 Degrees

Step-by-step explanation:

A triangle is 180 degrees. So,

Add 75 + 37 = 112

Subtract 112 from 180 = 68

Answer: 68°

Step-by-step explanation: To find the missing angle measure, represented by x, it's important to understand that the sum of the measures of the angles of a triangle is 180°

So to find the value of x, we can

setup the equation x + 75° + 37° = 180°.

Solving from here, we first simplify the left side of the equation.

So 75 + 37 is 112 and we have x + 112° = 180°

Next, to get x by itself, we subtract 112° from both sides.

On the left, the 112's cancel out and we are left with x.

On the right, 180° - 112° is 68°.

So x = 68°.

This means that the missing angle

measure in the triangle shown is 68°.

Answer:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Step-by-step explanation:

Given that diameter of clock = 10 units

We know that:

[tex]Radius =\dfrac{Diameter}{2}[/tex]

Radius = 5 units

The length of face will be equal to radius of clock i.e.

Length of face = 5 units

For the question, we need to visualize the clock time 3 o'clock, 6 o'clock, 9 o'clock and 12 o'clock on the coordinate xy axis.

Please refer to the attached graph to have a better understanding.

In every 3 hours the face will move [tex]90^\circ[/tex] i.e. one quadrant as per the location of clock faces.

At 3 o'clock the face will be on the positive x axis.

So coordinate (5, 0)

At 6 o'clock the face will be on the negative y axis.

So coordinate (0, -5)

At 9 o'clock the face will be on the negative x axis.

So coordinate (-5, 0)

At 12 o'clock the face will be on the positive y axis.

So coordinate (0, 5)

So, the answer is:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Answer:

12 o'clock (0,5)

3 o'clock  (5,0)

6 o'clock  (0,-5)

9 o'clock (-5, 0)

Step-by-step explanation:

Answer:

[tex]t = 2.86 \: s[/tex]

The ball remains in the air for 2.86 seconds.

Step-by-step explanation:

A baseball is hit into the air, and its height above the ground is described by the function

[tex]H(t) = -16t^2 + 45t + 2[/tex]

Where H(t) represents the height of the ball t seconds after it is hit.

The ball remains in the air before it hits the ground.

When the ball hits the ground,

[tex]H(t) = 0[/tex]

So,

[tex]0 = -16t^2 + 45t + 2[/tex]

The equation may be solved using the quadratic formula.

[tex]$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Where

[tex]a = -16 \\\\b = 45 \\\\c = 2 \\\\[/tex]

So,

[tex]t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\[/tex]

Since the time cannot be negative, discard the negative value and accept the positive value

[tex]t = 2.86 \: s[/tex]

Therefore, the ball remains in the air for 2.86 seconds.

Answer:

Arc JKL = 120 degrees

Step-by-step explanation:

90 + 30 = 120

Answer:

Son 27 flores amarillas, redondeando*

Step-by-step explanation:

pues pongamos de constante f, entonces la formula sera 4f+5f=48 luego de esto seguira 9f=48 lo que dara como respuesta 5,3; reemplazamos la constante por 5,3 lo que quedaria como: 4x5,3 que es igual a 21,2 (el numero de flores rojas); luego reemplazamos la constante en 5f lo que quedaria como 5x5,3 lo que da 26,5 pero si lo redondeamos nos da 27 y listo uwu

let given points be

(x1,y1)=(-3,-3)

and(x2,y2)=(3,1)

equation of given line ,

(y-y1)= ((y2-y1)/(x2-x1))×(x-x1)

therefore, 2x-3y+3=0.........(i)

comparing (i ) with ax+by+c=0 we get

a=2

b= -3

c=3

then the line parallel to (i) is

ax+by+k=0 where k = -bc

that is, 2x-3y+9=0 is the required equation

Answer:

19. y = 2/3x - 10/3

20. y = -3/2x - 4

Step-by-step explanation:

First off, we need to find the equation of the line shown. There are two coordinates given. The slope of the line is (1 - -3) / (3 - -3) = 4 / 6 = 2/3. The line obviously intersects the y-axis at -1, so the equation of the line is y = 2/3x - 1.

19. If a line were to be parallel to the given line, the line would have to have a slope of 2/3. So, we have y = 2/3x + b.

To solve for b, all you need to do is substitute the coordinates given, (2, -2), and solve.

-2 = (2/3) * 2 + b

b + 4/3 = -2

b = -6/3 - 4/3

b = -10/3.

So, the equation of the line is y = 2/3x - 10/3.

20. If a line were to be perpendicular to the given line, the line would have a slope that is the negative reciprocal of the given line's slope. The slope would be -3/2. So, we have y = -3/2x + b.

To solve for b, once again, put in the given coordinates, (-4, 2), and solve.

2 = (-3/2) * (-4) + b

b + 6 = 2

b = -4

So, the equation of the line is y = -3/2x - 4.

Hope this helps!

Answer:

x = -3/2, 1/2

Step-by-step explanation:

(2x + 3)(2x - 1) = 0

2x + 3 = 0, 2x = -3, x = -3/2

2x - 1 = 0, 2x = 1, x = 1/2

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

Explanation:

The simple interest formula to use is

A = P*(1+r*t)

where,

A = account value after t years (original deposit + interest)

P = 1000 = amount deposited (principal)

r = 0.0325 = annual interest rate in decimal form

t = 7 = number of years

So,

A = P*(1+r*t)

A = 1000*(1+0.0325*7)

A = 1227.50

Side note: you've earned A-P = 1227.50-1000 = 277.50 dollars in total interest