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2 years ago

Write an algebraic expression to represent the verbal expression

1 answer:

6 0

You set it up like this.

It says "the difference", so you put a minus sign: -
It says that the minuend, or the part being taken away from is a quantity equal to the product of 4 and "some number" (we'll use x), so now you have: (4 * x) -
Next, it says the subtrahend, or part being removed, is the square of "the number", meaning we use the "some number", x, from before, so now you have: (4 * x) - x^2

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Simplify 24 − (23 + 22). HELP FAST

RSB [31]

Answer:-21

Step-by-step explanation:

23+22=45

45-24=21

then flip 24 and 45 to get negative

8 0

3 years ago

Read 2 more answers

Suppose that you can only use the set of small letters characters (a-z) and odd numbers (1, 3, 5, 7, 9) to set a password. What

Flauer [41]

Answer:

$31^8$

Step-by-step explanation:

To create a password, you need to select 8 characters (not necessarily different) from the set {1,3,5,7,9,a,b,c,...,z}. Now, this set has 31 elements: the 26 lowercase letters from the alphabet and the 5 odd numbers (1,3,5,7,9).

Now, there are 31 ways to choose the first character, it can be any element from our set. The second character can also be chosen in 31 ways, because there are not restrictions (repetitions, specific characters, etc). Similarly, the third, fourth, fifth, sixth, seventh and eighth characters have 31 possibilities each one.

The number of passwords is the number of ways of selecting the 8 characters, then by the multiplication principle the number of passwords is 31×31×31×31×31×31×31×31=31^8.

6 0

3 years ago

Fee points say reee

charle [14.2K]

Reeeeeeee‼️‼️‼️‼️

Tyyyyy

7 0

3 years ago

Find the surface area of the following triangular prism. surface area=_________ ft²

Scorpion4ik [409]

Answer:

312 ft²

Step-by-step explanation:

3 rectangles

2 triangles

4 yd = 12 ft

A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2

= 48ft² + 96ft² + 120ft² + 48ft²

= 312 ft²

3 0

3 years ago

1. Based on the information given, can you determine that the quadrilateral must be a

zhenek [66]

Solving Q1: Given BE = ED and AE = EC.

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)

Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)

Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

Solving Q2: The parallelogram has the angle measures shown in the diagram.

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0

3 years ago