What is the missing reason in the proof?

Answer: q=11

Step-by-step explanation: 40-7=33 33/3=11

q=11

Answer:

q = 11

Step-by-step explanation:

3q + 7 = 40

    - 7    -7

3q = 33

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

     3

q = 11

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x)   =    (  x + 4  )²  +   7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h =  -b/(2·a),  k = (-b²/(4·a) + c = -a·h² + c

c  =   k  +  a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

Answer:

C is the answer

they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.

Step-by-step explanation:

I hope this helps :))

Answer:

C. The answer is molecular motion.

Step-by-step explanation:

When a molecule moves it would heat up. Therefore, by moving it would heat up.

Answer::::::::::::::::::::::::::::::::::::

Answer:

28,800 Milliliters

Step-by-step explanation:

Hope it help's i used a caculator. it cheack my awnser

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1. find a common denominator,

2/5 = 12/30

2/6 = 10/30

2. compare,

12/30 is greater than 10/30

Hope this helps! (and is correct)

Answer:

Its C

Step-by-step explanation:

Answer:

8t + ( -4t) - 5

Step-by-step explanation:

8t + 1+ (-4t)-6

8t- 5 + (-4t)

Answer:

download socratic maybe there is the answer

Answer: 48

Step-by-step explanation: 10% of 480 would be 48 because your finding 10% of 480. for example: 10% of 100 would be ten because if you multiplied 10 times 10 it would be 100.

Answer:

Polygons can be separated into triangles by drawing all the diagonals that can be drawn from one single vertex. If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle.

Answer:

216

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

6x6x6=216

Here is your answer

Answer:

21°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180 for the other angle

other angle = 180° - (90 + 69)° = 180° - 159° = 21°

Answer:

32

Step-by-step explanation:

Well I don't really have a way to make this equation any simpler than just adding 1 to 31.

31 + 1 = 32

Hope you pass the quiz!!

Answer:

the one on the top is a parrallelogram, the one on the bottom is a trapezoid

Answer:

C

Step-by-step explanation:

Answer:

Well then good luck with that woophi- I'm kidding, this is what I got! XD

Step-by-step explanation:

6 and 3/4

Hope this helped! :D

B

Step-by-step explanation:

Answer:

To the nearest hundredth, this is 30.79 units

Step-by-step explanation:

To find the length of the arc, we simply apply the length of arc formula

Mathematically, that would be;

theta/360 * 2 * pi * r

Theta here is 98

r is 18 units

So the length of the arc will be;

98/360 * 2 * 22/7 * 18

= 30.7876 units

to the nearest hundredth, this is;

30.79 units

Answer:

A

Step-by-step explanation:

They have to be equal if abc and adc are equal

therefore the answer is A

hows that :D

Answer:

A C and D

Step-by-step explanation:

look a the attached picture

The term –2(x – 2)² is simplified by first squaring the expression x – 2.

After multiplying, the like terms are combined by adding and subtracting.

The parentheses are eliminated through multiplication.

The given algebraic expression can be simplified by resolving the parenthesis first followed by adding similar terms together.

3x(x – 12x) + 3x² – 2(x – 2)²

= 3x² - 36x² + 3x² - 2(x² - 4x + 4)

= -30x² - 2x² + 8x - 8

= -32x² + 8x - 8

Thus, the correct process of simplification include;

Learn more about simplification of algebra here: https://brainly.com/question/432678

Answer:

[tex]\boxed{\sf x=-4}[/tex]

Step-by-step explanation:

[tex]\sf 6\left(x+2\right)+6=-3\left(x+4\right)-6[/tex]

[tex]\boxed {\sf Expand: \: Use \: the \:distributive \:property}[/tex]

[tex]\sf 6\left(x+2\right)+6[/tex]

→ [tex]\sf 6x+12[/tex]

[tex]\sf -3\left(x+4\right)-6[/tex]

→ [tex]\sf -3x-18[/tex]

____________________

[tex]\sf 6x+18=-3x-18[/tex]

[tex]\boxed{\sf Subtract\: 18 \: from \: both\: sides:}[/tex]

[tex]\sf 6x+18-18=-3x-18-18[/tex]

[tex]\sf 6x=-3x-36[/tex]

[tex]\boxed{\sf{Add\:}3x\sf{\:to\:both\:sides}}[/tex]

[tex]\sf 6x+3x=-3x-36+3x[/tex]

[tex]\sf 9x=-36[/tex]

[tex]\boxed{\sf{Divide\:both\:sides\:by\:}9}[/tex]

[tex]\sf \cfrac{9x}{9}=\cfrac{-36}{9}[/tex]

[tex]\sf x=-4[/tex]

_________________________

Step-by-step explanation:

[tex]\tt{10y-6y+2y+2y=8 }[/tex] ⠀

[tex]\tt{14y-6y=8 }[/tex] ⠀

[tex]\tt{ 8y=8 }[/tex] ⠀

[tex]\tt{ y=\dfrac{8}{8} }[/tex] ⠀

[tex]\tt{ y=1 }[/tex] ⠀

Answer:

Step-by-step explanation:

Answer:

2.51

Step-by-step explanation:

The tax would cost 2.51 and in total would cost 38.31.

Hey there!

The answer to your question is 94.5

We can use this equation, and solve: (we need to use "2x" because the score counts for 2 grades!)

(89 + 79 + 93 + 2x) / 5 = 90

(261 + 2x) / 5 = 90

261 + 2x = 450

2x = 189

x = 94.5

To check if it's right, we can add up all the scores, and divide by 5, and see if it's equal to 90. (Make sure to use 94.5 twice because it counts for 2 test grades!)

(89 + 79 + 93 + 94.5 + 94.5) / 5

450 / 5

90 ✔️

Hope it helps! Have a great day and good luck!

Answer:

35/16      2 2/16

Step-by-step explanation:

1 1/4 = 5/4

1 3/4 = 7/4

5 * 7 = 35

4 * 4 = 16

35/16

Answer:

2 3/16

Step-by-step explanation:

First, we have to convert our mixed numbers to improper fractions, so our new equation is:

5/4 x 7/4 = 35/16

35/16 = 2 3/16

Answer:

Change the equation to slope intercept form.

(y= 1.2x + 2.2) or (b= 1.2a + 2.2)

Then shade above the line.

Step-by-step explanation:

Let's say A is "x", and B is "y."

Change the equation to slope intercept form.

120x + 100y = 220.

(Move 120x to the other side of the equation by subtracting 120x from both sides)

100y= -120x +220

(Divide 100y by 100 to remove it from Y, divide the entire right side of the equation by 100)

y= -120x/100 + 220/100

y <= 1.2x + 2.2 -> (b= 1.2a + 2.2)

The new equation is much easier to graph.

THEN, Plot the new equation, since the sign is <= (greater than or equal to)

Make a solid line.

Then shade above the line whatever color necessary, since the sign is also "greater than"

Answer:

See below

Step-by-step explanation:

Given inequality

This is a linear inequality, to graph first find intercepts:

a- intercept, when b = 0

b- intercept, when a = 0

We got two points:

Now graph this with following steps

The graph is attached