MATHEMATICS HIGH SCHOOL

Find the value(s) of k for which the expression is a perfect square trinomial.
49x^2-84x+k

Answers

Answer 1

Answer:

Step-by-step explanation:

step 1. the perfect square will look like this: (7x + a)(7x + a) = (7x + a)^2.

step 2. by performing FOIL you will get 49x^2 + 14xa + a^2.

step 3. 14a = 84. a = 6

step 4. a^2 = 36.

step 5. k = 36.

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Plan a recipe for 38 minutes of long distance calling using plan b she paid $4.13 for 59 minutes find the unit rate for each which plan cost more per minute
For all jobs, the rate will be set by a minimum specified in Fair Labor standards act. True or false
Jason stop at a park at 35 min then left at 100min how long did he stay for
Need help with this question
What is 2x116 and 4x17

6^4x-5=6^2x solve for “x”

Answers

Answer:

x=1/252

x=0.00396825

Step-by-step explanation:

Hope this helped!!!

Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs

Answers

Answer:

Always true

Step-by-step explanation:

Here, we want to evaluate if the given statement is true

The discriminant D can be calculated using the formula;

b^2 - 4ac

if D is greater than 0, then we will have only real roots

In a case where a and c are of opposite signs;

then -4ac will always give a positive value which can be added to b^2

This positive value will ensure that D is greater than zero and hence we can have only real roots

So this assertion is always true if a and c are of opposite signs

A 91 square foot bathroom has a length of 13 feet. what is the width of the bathroom

Answers

91 divided by 13 is 7. if the bathroom is 91 feet square, and the length is 13 feet, then the width is 7 feet

Answer:

Step-by-step explanation:

well just go to brainly my my 67

Explain It Adam made 19 paper cranes Monday and 8 more Tuesday. He gave 9 friends an equal number of cranes. How many cranes did each friend received? Explain how you found your answer.

Answers

Answer: Each friend received 3 paper cranes.

Step-by-step explanation:

Given : Number of paper cranes made by Adam on Monday = 19

Number of paper cranes made by Adam on Tuesday = 8

Total number of paper cranes made by Adam = (Number of paper cranes made on Monday) + (Number of paper cranes made on Tuesday )

= 19+8

= 27

Now , all paper cranes are equally divided into 9 friends , the number of paper cranes received by each friend = (Total number of paper cranes ) ÷ (9)

= (27)÷ (9)

= 3

Hence, each friend received 3 paper cranes.

he made 19 paper cranes on Monday & 8 more on tuesday
total cranes made = 19 + 8 = 27
number of cranes he give to each of his 9 friends = 27/9 = 3 cranes

Polygon A is similar to polygon B the sides of polygon A are three times larger then the corresponding sides of polygon B the perimeter of polygon A is 144 what is the perimeter of polygon B ?

Answers

Answer:

48 units

Step-by-step explanation:

Perimeter is the sum of the side lengths

If polygon A has perimeter

P = a+b+c+d for example

Then polygon B has perimeter of

P' = 1/3a+1/3b+1/3+1/3d = 1/3P as each side is 3 times smaller than the corresponding side

Since P = 144

P' = 1/3P = 1/3*144 = 48 units

We can write a ratio comparing the sides of both polygons.

A:B = 3:1

Since we know that 144 is the perimeter for polygon A, we can substitute it.

144:B = 3:1

~Simplify

144 = 3B

Divide 3 to both sides

48 = B

Therefore, the perimeter of B is 48 units.

Best of Luck!

if the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?

Answers

$8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%. This is obtained by finding 7% of deposit money and subtracting the answer from the deposit money.