Which of the following expressions is equivalent to the expression 19× 27 ?
A. 3−2× 3−3
B. 3−2× 33
C. 32× 3−3
D. 32× 33

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:

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

Do 1.50 divided by 3 to get the unit price.

Answer:

-2.05, in fraction form it would be -2 1/20

Answer:

-41/20

Step-by-step explanation:

Hi there!

From the question, I believe you’re asking [tex]\frac{3}{4}[/tex] - [tex]2 \frac{4}{5}[/tex]

First, put the whole number 2 back into the fraction to create an improper fraction.

This would become [tex]\frac{14}{5}[/tex]. Now, we have to find a common denominator between the two fractions. Both 4 and 5 can go into 20, so that will be our common denominator. To turn [tex]\frac{3}{4}[/tex] into a fraction with a denominator of 20, we have to multiply both the numerator and denominator by 5. [tex]\frac{3}{4}[/tex] becomes [tex]\frac{15}{20}[/tex]. We do the same thing for [tex]\frac{14}{5}[/tex] except we multiply the numerator and denominator by 4. We end up with [tex]\frac{56}{20}[/tex]. Now we just have to subtract!

[tex]\frac{15}{20} - \frac{56}{20}[/tex] leaves us with [tex]- \frac{41}{20}[/tex] , which can’t be simplified any further.

Answer:

2.51

Step-by-step explanation:

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

Answer:

20x+9y

Step-by-step explanation:

add the numbers that have the same variable(x in this problem)this is also called combining like terms. Then put the other numbers that have different variables. hope this helped

Answer:

Linear Mark brainliest please :D

Step-by-step explanation:

You can make x by itself

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:

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

Answer:

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

Answer:

x=6y+1

x=y+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gradient = y²- y¹/x²- x¹

Gradient = 9-2/8-1 = 7/7

Therefore gradient = 1.

Am not sure but I hope this helps

Answer:

m=1 b=-1

Step-by-step explanation:

(0,-1) and (1,0)

Answer:

8

Step-by-step explanation:

c^2 is 9, 2d is 4

9-4+3=8

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:

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:

yes, it is correct

Step-by-step explanation:

12 = 1/3 (21) + 5

12 = 5 + 7

12 = 12

yes

Answer:

Its C

Step-by-step explanation:

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

Answer:

28,800 Milliliters

Step-by-step explanation:

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

Answer:

C

Step-by-step explanation:

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:

i tried solving it and i got this  x = 0 and x equals five halves

Step-by-step explanation:

Answer:

for every three pens there is five pencils

Answer:

The ratio of pencils to pens is 5 to 3

For every 3 pens, there are 5 pencils.

The ratio of pencils to pens is 5 : 3

.Step-by-step explanation:

Answer: 30 posts

Step-by-step explanation:

each post is 5 feet apart and 30 x 2 + 45 x 2 = 150 which divided by 5 is 30

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:

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:

The value of x is 2

Step-by-step explanation:

Let us solve the question

In the given figure

∵ LMNK is a parallelogram

∵ ML and NK are opposite sides

→ By using the rule above

∴ ML = NK

∵ ML = 22

∵ NK = 12x - 2

→ Equate them

∴ 12x - 2 = 22

→ Add 2 to both sides

∵ 12x - 2 + 2 = 22 + 2

∴ 12x = 24

→ Divide both sides by 12

∴ x = 2