The length of the opposite side of a right triangle is 2cm longer than the length of the adjacent side. The hypotenuse is 4cm longer than the adjacent side. Use a quadratic equation to determine the perimeter of the triangle.

PLEASE HELP

Answers

Answer 1

Answer:

Step-by-step explanation:

Let x be the adjacent side length in cm

opposite side is x + 2 cm

hypotenuse is x + 4 cm

x² + (x + 2)² = (x + 4)²

x² + (x² + 4x + 4) = (x² + 8x + 16)

x² - 4x - 12 = 0

(x - 6)(x + 2) = 0

so either

x - 6 = 0    x = 6

or

x + 2 = 0    x = -2

positive answer is x = 6 as negative length does not make sense

opposite side is 6 + 2 = 8

hypotenuse is 6 + 4 = 10

perimeter is 6 + 8 + 10 = 24 cm


Related Questions

Help please, I attached a screenshot

Answers

[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]

Answer:

[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.

Answers

Answer:

  25.024 mi/gal

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

  (312.8 mi)/(12.5 gal) = 25.024 mi/gal

What will be the average of the first five
consecutive numbers starting from 11

Answers

Answer:

  13

Step-by-step explanation:

The average of any 5 consecutive numbers is the 3rd one (the middle one of the group). The third consecutive number starting from 11 is 13.

The average of {11, 12, 13, 14, 15} is 13.

...................hyufgr54ed3w4ewfsa67grftgvb hj

Answers

Answer:

yes

Step-by-step explanation:

You are dealt one card from a​ 52-card deck. Find the probability that you are not dealt a black picture card.

Answers

Answer: 1 in 51

Step-by-step explanation:

Answer:

23/26

Step-by-step explanation:

A standard deck of cards has 52 cards.

The cards are divided into 13 cards of each of 4 suits.

2 suits are black and 2 suits are red.

Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.

The total number of cards in a deck is 52.

52 - 6 = 46

There are 46 cards that are not black suit cards out of 52 total cards.

p(not black face card) = 46/52 = 23/26

Evaluate 2/3p + 3 when p = 3/5=

Answers

Answer:

so 2/3X 3/5 + 3

10 + 9 / 15 by LCM method

so 19/15 + 3 = 19/15 + 45/15 = 64/15

hope it helps

Step-by-step explanation:

Answer:

3 2/5

Step-by-step explanation:

2/3 (3/5) + 3

Multiply

6/15 + 3

Reduce fraction

2/5 + 3 = 3 2/5

NEED NOW PLEASE..........

Answers

Answer: C. -12 - 3 + 9

Step-by-step explanation:

-12 because the fish are 12 m below the ocean.

-3 because the fish swim down.

+9 because the fish swim up.

How many sixes are equal to double 27?

Answers

Answer:

its not sixes theres 4 sixes equal 24 so there is no answer

Step-by-step explanation:

can i have brainliest pls

Answer:

9

Step-by-step explanation:

Double 27 is 54. 6 times 9 is 54

i have 45 points...

Charlie has a box with the following letters inside of it. What is the probability that he will draw a "D," put it back, and then draw an "A?" Write your answer as a simplified fraction.

Answers

Answer:

3/7 and 2/7.

Step-by-step explanation:

P(e) = No of favourable outcomes/ Total no of possible outcomes.

total outcomes=3+1+1+2=7.

(1) p(D) = 3/7.

(2)p(A)=2/7

The probability of drawing a D does not affect the probability of drawing A so the events are independent so you just have to multiply the probabilities

There are 3 D out of 7
There are 2 A out of 7(because we put the card back)

3/7 * 2/7 =6/ 49

Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the
ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this
ticket is $0.50.6000000
Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back
about $5,000."
Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."
Whose statement is correct based on the expected value?
Choose 1 answer:
Only Ahmad's
Only Juana's
Both statements are correct.
Neither statement is correct.

Answers

According to the information provided the statement of both people is incorrect (option D)

Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:

0.50 x 1000 = 500

On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:

1 ÷ 50 = 0.02

According to the above, none of the statements of the characters is true.

 

Learn more about mathematics in: https://brainly.com/question/19003099

Answer:

Neither statement is correct

Step-by-step explanation:

Got it right on Khan Academy

The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.

Answers

[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]

pls help im being timed

Answers

Answer:

He needs 8 health packs

Step-by-step explanation:

3x + 5 [tex]\geq[/tex] 29

3x [tex]\geq[/tex] 24

x [tex]\geq[/tex] 8

An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&M’s produced at this factory

Answers

Answer:

It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.

Step-by-step explanation:

The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.

So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.

The answer has to be "about 21,900,000."

write 6 out of 40 as a fraction a decimal and a percent

Answers

Answer:15% , 0.15 , 6/40 or 3/20

Step-by-step explanation:

The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.

Answer:

3/20, 0.15, 15%

Step-by-step explanation:

Fraction:

6/40 un-simplified

3/20 simplified

Decimal:

0.15

Percentage:

15%

Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}


Step 1
Step 2
Step 3
Step 4
Step 5


93
×51


3
90
150
+4,500


4,743


1×3 ones
1×9 tens
50×3 ones
50×9 tens

Answers

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​[/tex]

This partial product can also be solved as shown below:

[tex]93 \times 51 = (90+3)\times (50+1)[/tex]

Applying the distributive law:

[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]

Since molly's solution tally's with the given solution, hence Molly solution is correct.

Learn more about partial product at: https://brainly.com/question/24716925

can anyone please tell me how to do this​

Answers

Hello there, this problem is just basic addition, here is what it would look like

[tex]52.31+25.90[/tex]

Solve it and we get 78.21

Amount earned on Saturday = $ 52.31

Amount earned on Sunday = $ 25.90

Total amount earned

= $ 52.31 + $ 25.90

= $ 78.21

Therefore, Tara earned $ 78.21 in total. Hope this helps.

Have a nice day.

i need help on this asap pls help??

Answers

Answer:

Step-by-step explanation:

Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.

Simplify the expression completely.

Answers

Answer: B

Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:

2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]

Hope this helps.

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 77 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 104 kilograms. How much does each type of box weigh?

Answers

I don’t know the awnser but have a great day and never give up :)

How do I do this? It's a modulus question.

Answers

1)
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2

2)

Do the same
X= -5/2
X= 7/2



HELP
Lyndie is making reduced copies of a photo that measures 25 centimeters in height. She sets the copy machine to an 80% size
reduction.

PART A
Write a percent equation that represents
the relationship of the height of the first
copy to the height of the original photo.

PART B
Lyndie wants to make another copy that
will have a height of 17 cm. The copy
machine settings increase or decrease in
increments of 5%. Which photo should she
make her copy from, the original or her
first copy? Explain.

Answers

Answer: 5+ba*7= 88

Step-by-step explanation:

Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearly simple interest rate of 1.82%

Answers

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

Learn more about simple interest here:

https://brainly.com/question/20690803

help me please hhhhhjjkk

Answers

Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

These are so random? I don’t know why I have to put these? Ignore them

Answers

What are so random? You dont know why you have to put what? Lol XD

Which of the following is a solution of 4x + 3x = 12?
(a) (4,0)
(b) (3,0)​

Answers

Answer:

B

Step-by-step explanation:

Given equation is 4x+3y = 12

(3,0) is a solution because

LHS =

⇛ 4(3)+3(0)

⇛ 12+0

⇛ 12

⇛ RHS

LHS = RHS

also read similar questions: Find the intercepts of the graph given the following equation 4x – 3y = 12 A (4,0) and (0,-3) B (-3,0) and (0,-4) (3,0) and (0,-4) D (3,0) and (0,4)...

https://brainly.com/question/20948223?referrer

Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....

https://brainly.com/question/3735786?referrer

Solve for t
The equation is in the photo

Answers

Answer:

[tex]\huge\boxed{t=\sqrt{\dfrac{2d}{a}}}[/tex]

Step-by-step explanation:

[tex]d=\dfrac{1}{2}at^2\\\\\dfrac{1}{2}at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\neq0\\\\\dfrac{a\!\!\!\!\diagup t^2}{a\!\!\!\!\diagup}=\dfrac{2d}{a}\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}[/tex]

Select the best estimate for the quotient.75.1÷9=

Answers

Answer:

8.3 44444 is the answer

Step-by-step explanation:

WILL MARK BRAINLIEST IF ANSWER IS CORRECT

Solve

20÷4+2•5

Answers

Answer: the answer is 8

Step-by-step explanation:

Hope this helped.

hi have a nice day

20

4

+(2)(5)

=15

The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip

Answers

Answer:

$ 156.86

Step-by-step explanation:

We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.

The total bill including tip would 136.40 plus 15% of136.40plus15136.40.

\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40

\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40

\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46

\text{Total bill}=\$156.86Total bill=$156.86

Therefore, the total cost of bill including tip would be $156.86.

$136.40 / 15% = $20.46
$136.40 + $20.46 = $156.86

Your answer: $156.86

Solve for x.
х/12=3/2

Answers

X=18 , first you have to rewrite it as fractions then you have to cross multiply the equation , and last divide
I think it’s x=0/-17
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