The base of a triangle is (x - 3) inches. The height of a triangle is 4.5 inches. If the area is 27 square inches, what is the value of x?

Answer:

7 inches

Step-by-step explanation:

The surface area of a cube is denoted by: A = 6s², where s is the side length.

Here, we know that A = 294, so plug this into the formula to solve for s:

A = 6s²

294 = 6s²

s² = 49

s = √49 = 7

Thus, the answer is 7 inches.

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form  [tex](x+2)^2-2[/tex].

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

[tex](x+2)^2-2+2^2[/tex]

[tex](x+2)^2-2[/tex]

Thus, [tex](x+2)^2-2[/tex] is the correct form.

Learn more about a quadratic equation here:

brainly.com/question/2263981

Answer:

y = -3

Step-by-step explanation:

When you graph it on a graphing calculator or on desmos, it appears to be at y = -3

Answer:

A) 54.5g, B) 1.4g

Step-by-step explanation:

Find the lower bound of 55 and the upper bound of the cubed root of 1. the cubed root of 1 is 1 and the upper bound of that is 1.4

Answer:3 1/3 pizza in total but 3 whole pizzas

Step-by-step explanation:

if you add 2/3+2/3+2/3+2/3+2/3 you get 3 1/3 but its asking how many whole pizzas their are so 3.

Answer:

on the 10th day from option A you would get $196.83. on the 10th day from option B you would get $1,000.

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

Given:

Option A: You Receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day,and so on, tripling each day.

Option B: You receive $100 each day(Day 1, you would receive $100, Day 2, you would receive $100..)

You will receive the month that is offered on day 10. Which option would you choose? Use the table and/ or graph to organize your thinking.

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Option A                                                                       Option B:

Tripling = times 3                                                       Add $100

       Table:                                                                  Table:

[1] 1¢                                                                             [1] $100

[2] 3¢                                                                           [2] $200

[3] 9¢                                                                           [3] $300

[4] 27¢                                                                          [4] $400

[5] 81¢                                                                         [5] $500

[6]$2.43                                                                       [6] $600

[7] $7.29                                                                       [7] $700

[8] $21.87                                                                    [8] $800

[9] $65.61                                                                  [9] $900

[10] $196.83                                                              [10] $1000

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Thus, I will choose option B.

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

~lenvy~

Answer:

40/3

Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.

Answer:

Step-by-step explanation:

you would multiply the fractions

then you would add the hole number

Answer:

2 14/15

Step-by-step explanation:

Answer:

[tex]\boxed{\sf{4}}}[/tex]

Step-by-step explanation:

Use a slope form.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

[tex]\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4} }[/tex]

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Call the number : a

We have : [tex]a^{2} - 15 = 2a[/tex]
[tex]- > a^{2} - 2a = 15 - > a(a-2) = 15[/tex]

Now, we list all the numbers that can be multiplied to get 15 :

1 x 15 (and reverse)
3 x 5 (and reverse)

-1 x (-15) (reverse)
-3 x (-5) (a l s o r e v e r s e)

We substitute in :

If a = 1 -> a(a-2) = 1 x (-1) = -1 (not equal 15)
If a = 3 -> a(a-2) = 3 x 1 = 3 (not equal 15)
If a = -1 -> a(a-2) = -1 x (-3) = -3 (also not equal 15)
And if a = -3 -> a(a-2) = -3 x (-5) = 15 (satisfied)

So, the number is -3

Recheck : -3(squared) - 15 = 9 - 15 = -6
Twice of -3 = -6

[tex]========================================[/tex]

First of all, let the unknown number be z.

Then, "the square of z" means "z squared" which is the same as "z times z" or just z².

Now, "fifteen less than the square of z" means we subtract 15 from z²:

z²-15

Then, this equals twice the number, or 2 times z:

z²-15=2z

[tex]========================================[/tex]

:-)

Answer:

A formula is a method that has been proven to work when solving specific types of problems.

Step-by-step explanation:

Answer:There are 7 daises

Step-by-step explanation: half of 16 roses is 8 and half of 14 daises is 7. given the ratios from roses to daises is 8:7

Answer:

10 daisies

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

-5 =! 5

The probability of rolling a number greater than 3 is equal to

   --> # of numbers greater than 3 / total # of numbers on the dice

   --> [tex]\frac{3}{6} =\frac{1}{2}[/tex]

There the probability of rolling a number greater than 3 is 1/2

Hope that helps!

Answer:

B, F

Step-by-step explanation:

B, F is correct.

A, C, D, E, G, H is wrong.

[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]

[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]

Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.

As stated in the problem, it is modeled by:

y ≤ –x2 + 5x

y > x2 – 4

For ordered pair (-1,-1), we have that:

y ≤ –x2 + 5x

-1 ≤ –(-1)2 + 5(-1)

-1 ≤ -6

Which is false.

For ordered pair (0,2), we have that:

y ≤ –x2 + 5x

2 ≤ –(0)2 + 5(0)

2 ≤ 0

Which is false.

For ordered pair (2,5), we have that:

y ≤ –x2 + 5x

5 ≤ –(2)2 + 5(2)

2 ≤ 6

Which is true.

y > x² - 4

5 > 2² - 4

5 > 0

Which is true.

Hence ordered pair (2,5) is a solution to the given system of inequalities.

More can be learned about a system of inequalities at https://brainly.com/question/9774970

Answer:

the third option (2,5)

Step-by-step explanation:

I just took the test:)

Answer:

40π

Step-by-step explanation:

cricumference: 2πr (or πd)

2π(20) = (40)π ≈ 125.66

Answer: 40

Step-by-step explanation:

First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)

Hey there!

(-4x + (2x)

= -4x + 2x

COMBINE the LIKE TERMS

= (-4x + 2x)

= -4x + 2x

= -2x

Therefore, your answer is: -2x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

-50

Step-by-step explanation:

b-5 [tex]\geq -45[/tex]

b-5 = -45 ( collect like terms)

b = -45 + -5

b = -45 -5  b = -50

When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.

From the complete information, the other two sides have been given as 4 inches and 5 inches.

The Pythagoras theorem will be used in this case and it goes thus:

4² + Width² = 5²

Width² = 5² - 4²

Width² = 25 - 16

Width² = 9

Width = ✓9

Width = 3

In conclusion, the width is 3 inches.

Learn more about width on:

https://brainly.com/question/25292087

Answer:

40 ft^2

Step-by-step explanation:

Composite shapes make a square and rectangle

4 x 4 = 16

6 x 4 = 24

24 + 16 = 40

Answer:

24 unless my mind died

Step-by-step explanation:

8+16 :D

Answer:

11, 1, -9, -49

Step-by-step explanation:

(Fill in the x value for each one then solve)

Function rule: y = -10x + 1

1. x = -1

fill in: y = (-10) -1 + 1

Solve: 11

Table way: x,y = -1,11

2. x = 0

fill in: y = (-10) 0 + 1

Solve: 1

Table way: x,y = 0,1

3. x = 1

fill in: y = (-10) 1 + 1

Solve: -9

Table way:  x,y = 1,-9

4. x = 5

fill in: y = (-10) 5 + 1

Solve: -49

Table way: x,y = 5,-49

Step-by-step explanation:

i answered this one already as well.

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^