MATHEMATICS HIGH SCHOOL

Write the product in standard form. (2p+5)(2p-5)

Answers

Answer 1

Answer:

Answer:

4p² - 25

Step-by-step explanation:

given

(2p + 5)(2p - 5)

each term in the second factor is multiplied by each term in the first factor, that is

2p(2p - 5) + 5(2p - 5) ← distribute both parenthesis

= 4p² - 10p + 10p - 25 ← collect like terms

= 4p² - 25 ← in standard form

Answer 2

Answer:

Final answer:

The product of the expressions (2p+5)(2p-5) in standard form, based on the difference of squares formula, is 4p² - 25.

Explanation:

The problem asked is to write the product in standard form for the expression (2p+5)(2p-5). Understanding this problem requires knowledge of the algebraic formula (a+b)(a-b) = a² - b² - this is known as the difference of squares.

By applying this formula to the given expression where a is 2p and b is 5, the product simplifies to (2p)² - (5)².

By squaring each of these terms individually, we get 4p² - 25. Hence, the product of the expressions (2p+5)(2p-5) in standard form is 4p² - 25.

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Solve, using the substitution method.4x + 2y = 11
x – 2 = – 2y

A.

B.

C.

D.

Answers

$4x+2y=11 \nx-2=-2y \n \n\hbox{from the 2nd equation:} \nx-2=-2y \nx=-2y+2 \n \n\hbox{substitute -2y+2 for x in the 1st equation:} \n4(-2y+2)+2y=11 \n-8y+8+2y=11 \n-8y+2y=11-8 \n-6y=3 \ny=-(3)/(6)=-(1)/(2) \n \n\hbox{solve one of the equations for x:} \nx=-2 \cdot (-(1)/(2)) +2=1+2=3 \n \n \hbox{the answer:} \n x=3 \n y=-(1)/(2)$

4x + 2y = 11
x - 2 = -2y
First you have to get a variable alone in one of the equations.

x - 2 = -2y
+2 +2
--------------
x = -2y + 2
Next you substitute -2y +2 for x in the second equation.

4(-2y + 2) + 2y = 11
Distribute.

-8y + 8 + 2y = 11
Combine like terms.

-6y + 8 = 11
Get the variable (y) by itself.

-6y + 8 = 11
-8 -8
--------------------
-6y = 3
Finally get y by itself.

-6y = 3
----- ------
-6 -6

Y = 0.5

Now to get x you plugin the answer for y.

x - 2 = -2y
x - 2 = -2(0.5)
x - 2 = -1
+2 +2
x = 1

(1, 0.5) Is your ordered pair. :D

What is 16+(48/8)
and please do not give me a fraction i want a whole number for this answer, thank you

Answers

Answer: If the entry is a fraction only, leave the whole number field blank. This is the greater of the two entries. After determining which entry is greater, the compare fractions calculator will show its work and give a detailed explanation of each step it took to arrive at the answer.

Step-by-step explanation:

the answer 22

The answer is 22, because if you divide 48 by 8 you will get 6. ( You have to solve what’s in the brackets first!)
Then after you get 6, you will do 16+6 which equals to 22

Please help if you know how to do Similarity in Geometry!!

Answers

2. TU, UV and TV are mid-segments

3. Definition of mid-segment

4. Division property of equality

6. SSS similarity theorem

Solution:

Step 1: Given

T is the midpoint of QR.

U is the midpoint of QS.

V is the midpoint of RS.

Step 2: Mid-segments connects midpoints of opposite sides.

TU, UV and TV are mid-segments.

Step 3: By definition of mid-segment

A triangle mid-segment is parallel to the third side of the triangle and is half of the length of the third side.

$T U=(1)/(2) R S,$ ${U V}=(1)/(2) {Q} R$ and $V T=(1)/(2) S Q$

Step 4: By division property of equality

Divide first segment by RS, second segment by QR and third segment by SQ.

$$(T U)/(R S)=(1)/(2), \ (U V)/(Q R)=(1)/(2), \ (V T)/(S Q)=(1)/(2)$

Step 5: By transitive property

$$(T U)/(R S)=(U V)/(Q R)=(V T)/(S Q)$

Step 6: From the above steps, the sides of the triangle are congruent.

By SSS similarity theorem,

$\Delta \text { QRS } \sim \Delta \text { VUT }$

Hence proved.

What is 6.213 as a mixed number

Answers

6.213 as a mixed number would be 6 and 213/1000.

all you do to convert it to a mixed number is look at how many numbers are after the decimal.

since theres 3 numbers, that means it would be in the thousands place

What is the mean for the following set of numbers? 66,85,98

Answers

Hello There!

Mean: Average number in a set of data.

STEP 1: Add up all the numbers in the set of data. In this case, we would add

66 + 85 + 98 = 249

STEP 2: Divide the sum by the number of digits you added. We would divide 249 "sum of numbers" by 3 "number of digits" and would get a quotient of 83.

-The mean for this set of data is 83-

83; add all the numbers,divide that by 3

A sample of 56 randomly selected cellphones of a new model were checked for a particular defect. Of these, 38 of the cellphones were found to be defective. Find a 80% confidence interval for p. Use the Agresti-Coull method.