Look at the triangular prism. Work out the volume of the prism.

Well, we know standard form of quadratic equation : ax² + bx + c where,

a = Coefficient of x²

b = Coefficient of x

c = Constant term

We also equation for determinant :

⇒ b² - 4ac

Here, if value of determinant i.e. (b² - 4ac) = A perfect Square, then we can understand that the givdn equation is factorisable.

But, if the value of (b² - 4ac) ≠ A perfect square, then it will be considered as "Not factorisable"

Now let's calculate whether the equation is factorisable or not :

Comparing the given equation with ax² + bx + c, we get :

a = 1

b = -3

c = -54

Putting values in the determinant equation :

⇒ (-3)² - 4(1 × -54)

⇒ 9 + 216

⇒ 225

⇒ 15²

So, determinant = A perfect square

That means the given equation is factorisable.

Now let's factorize with by middle term splitting :

⇒ x² - 3x - 54

⇒ x² -(9 - 6)x - 54

⇒ x² - 9x + 6x - 54

⇒ x(x - 9) + 6(x - 9)

⇒ (x + 6)(x - 9) [Required Solution]

Hence, we get our required solution.

Hope this Helps (✿◡‿◡)

Answer:

c

Step-by-step explanation:

Divide each of the side lengths of the larger triangle by the side lengths of the smaller triangle and you get 4

Answer:1

1258

Step-by-step explanation:

Do like terms.

Answer:

The answer was 1258

Step-by-step explanation:

1256x - 14x + 16x

add similar elements = 1256x - 14x + 16x

1258

Answer:

x = -1/3

x = 1

Step-by-step explanation:

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

x

=

−

14

Step-by-step explanation: Have a nice day I worked really hard on this.

Answer:

25% increase

Step-by-step explanation:

length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)

the area before it gets increased it 600

after the increase its 792

and 600 is 75.75% of 792

so it would be 25.25% increase

sorry this was so long hope this helps

Answer:

19%

Step-by-step explanation:

What is the probability that those who ordered a large drink was a cold one?

27 drinks in total

5 cold

5/27*100%

Hope this helps!

Answer:

m = [tex] \frac{4}{3} [/tex]

b = 5

Answer:

range is 17

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 93−76=17 93 - 76 = 17 .

Answer: 943.26

Step-by-step explanation:

9.4326

x 100

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

943.26

Answer: 90946.55

Step-by-step explanation:

The required amount after 20 years would be $90946.55.

Given that,
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

Here,
According to the question,
The amount after 20 years is given as,

[tex]y = 53000[1 + 0.27/365]^{365*20}\\y = 90946.54732\\y \approx 90946.55[/tex]

Thus, the required amount after 20 years would be $90946.55.

Learn more about investments here:

https://brainly.com/question/15353704
#SPJ2

Answer:

y = 4x - 2

Step-by-step explanation:

m = y-y/x-x

m = 6-(-2)/2-0

m = 8/2

m = 4

Answer:

y=4x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is give me the answer

Answer:

a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.

b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.

c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.

d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.

e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.

Step-by-step explanation:

According to stament, the area A is 6 square centimeters, the area B is 18 square centimeters, the area C is 3 square centimeters, the area D is 4 square centimeters and the area E is 2 square centimeters.

The purpose of this exercise is determine all ratios associated with each area, defined as a given area divided by the total area. Then, we proceed to determine each result:

([tex]A_{given} = 1\,cm^{2}[/tex], [tex]A_{A} = 6\,cm^{2}[/tex], [tex]A_{B} = 18\,cm^{2}[/tex], [tex]A_{C} = 3\,cm^{2}[/tex], [tex]A_{D} = 4\,cm^{2}[/tex], [tex]A_{E} = 2\,cm^{2}[/tex])

[tex]r_{A} = \frac{1\,cm^{2}}{6\,cm^{2}}[/tex]

[tex]r_{A} = \frac{1}{6}[/tex]

[tex]r_{B} = \frac{1\,cm^{2}}{18\,cm^{2}}[/tex]

[tex]r_{B} = \frac{1}{18}[/tex]

[tex]r_{C} = \frac{1\,cm^{2}}{3\,cm^{2}}[/tex]

[tex]r_{C} = \frac{1}{3}[/tex]

[tex]r_{D} = \frac{1\,cm^{2}}{4\,cm^{2}}[/tex]

[tex]r_{D} = \frac{1}{4}[/tex]

[tex]r_{E} = \frac{1\,cm^{2}}{2\,cm^{2}}[/tex]

[tex]r_{E} = \frac{1}{2}[/tex]

a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.

b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.

c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.

d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.

e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.

Answer:

Step-by-step explanation:

Dookie

Answer: 100 candy bars

Step-by-step explanation:

You did not include the question but judging by the progression I can assume that the question is along the lines of how many candy bars they will need to sell to reach their target.

You did not include the amount they have to raise as well so let us assume that number is $375.

Assuming they have to raise $375 and they have already raised $125, the amount left to be raised is:

= 375 - 125

= $250

With each candy bar selling at $2.50, the number of candy bars they will need to sell is:

= 250/ 2.50

= 100 candy bars

You should use this process to find the answer to your question.

Answer:

I think the answer is 0.3

Step-by-step explanation:

Sorry if am wrong.

Answer:

Step-by-step explanation:

P (blue)  fraction = 2/8   decimal=.25     percent=25%

P(purple) fraction=0/8   decimal=0         percent =0%

P(not green)  fraction=5/8     decimal=.625     percent= 62.5%

P(not brown) fraction=8/8     decimal=1   percent =100%

2)Refer to the table on air travel selected airports. Suppose a flight that arrived at El Centro is selected at random. What is the probability that the flight did not arrive on time? write your answer as a fraction, decimal and percent.    

80% on time so 20% are not on time

20/100 ÷ 20 =1/5

20%, .2, 1/5

3)The spinner has 8 sectors labeled with letters. Each sector of the spinner below is the same size, as shown.

If the arrow is spun 400 times , how many times  would it be  expected to land on a sector labeled B?

[tex]\frac{B}{Total} \\\frac{3}{8} =\frac{x}{400\\}[/tex]

A)50                 C)150

B)100                D)250

PLEASE MARK ME AS BRAINLIEST

Answer:

Step-by-step explanation:

true i hope this helps!

Answer:

false

Step-by-step explanation:

Answer:

good choice in vehicle!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)

Answer:

Question mark stands for 2d

Step-by-step explanation:

Here, we want to get what the question marks stands for

As we can see, the left was factorized to give the right

So, we have that ;

4d^3 + 6de = 2d(2d^2 + 3e)

so the question mark stands for 2d

Naruto usamaki is the greatest hokagey in the leaf village

Answer:

1. y= -2/5x+3

2. y= 3x-2

3. y= -1/2+0

Step-by-step explanation:

The formula for a linear equation is y=mx+b with

m=slope

and b= the y-intercept.

Answer: B

Step-by-step explanation: B is in slope-intercept form

Answer:

-4, 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The range is the set of y- values of a function

As per graph y-value changes from -7 to 0 both inclusive, so the range is:

or

Answer:

y = -x + 7

Step-by-step explanation:

y = x + 4   slope: 1

slope of perpendicular line: -1

for (2,5)   y interception (b) = y - mx = 5 - (-1)*2 = 7

equation: y = -x + 7

check: -x+7 = -2+7 =5