Mathematics High School

Find the value of x and y
I don’t know how

Find The Value Of X And YI Dont Know How

Answers

Answer 1

Answer:

x = 2√30, y = 2√21

Step-by-step explanation:

You can create the following equations:

(1) from the left triangle with sides x, y and 6:

y² + 6² = x²

(2) from the right triangle with sides y, 14 and... lets call it z:

y² + 14² = z²

(3) from the big triangle:

x² + z² = 20²

(4) Combine (2) and (3) to eliminate z:

x² + y² + 14² = 20²

combine (1) and (4) to eliminate x:

y² + 6² + y² + 14² = 20²

simplify

2y² = 20² - 6² - 14² = 168

y² = 84

y = √84 = 2√21

x² = y² + 6² = 84 + 36 = 120

x = √120 = 2√30

Related Questions

In a translation, what math process is used?
a) addition/subtraction
b) multiplication
c)division

Answers

Addition/ subtraction

PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger number. Find the numbers. PLEASE SHOW WORK Thanks!

Answers

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

[tex]x=\dfrac{y}{3}[/tex]   ...(i)

[tex]x+y=y^2-5[/tex]       ...(ii)

Put value of x from (i) in (ii)

[tex]\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}[/tex]

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

Find the Measure of angle O
(see image)
Only real answers, please

Answers

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

[tex](8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}[/tex]

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

Hence, angle O is 52°.

Is it possible for 2 numbers to have a difference of a 8 and a sum of 1

Answers

Answer:

Yes, it is possible for two numbers to have a difference of 8 and a sum of 1.

Step-by-step explanation:

A 24-foot ladder is placed 7ft from the wall, (as shown)
if the top of the ladder slips down 4 ft, how many feet will the bottom slide out?
a. 4 feet
b. 8 feet
c. 15 feet
d. 20 feet

anyone who answers this (first) will get 15 points!

Answers

I’m pretty sure it’s c.15 feet it’s the best answer
I would say d or c hope it helps

Laura bought a DVD for $12 and a CD for $10. After she bought the DVD and CD she had $55 left. How much money did she have before she bought the DVD and CD?

Answers

Answer:

she had $77 to her name

Step-by-step explanation:

Add the cost up from the cd & dvd then add the total from that and the 55

Answer:

She should've had 77 dollars before

Step-by-step explanation:

55 plus 12 = 67

67 plus 10 = 77

Paul buys 5 bags of chips and 9 bags of pretzels for $16.95. Ian buys 1 bag of chips and 1 bag of pretzels for $2.55. Find the cost of one bag of chips and one bag of pretzels.

Answers

Answer: The cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

Step-by-step explanation:

Let x= Cost of one bag of chips

y= Cost of one bag of pretzels.

As per given, we have

5x+9y=16.95        ...(i)

x+y=2.55            ...(ii)

Multiply 5 to (ii), we get

5x+5y=12.75     ...(iii)

Eliminate (iii) from (i), we get

[tex]4y=4.2\\\\\Rightarrow\ y=1.05[/tex]

Put value of y in (ii), we get

[tex]x+1.05=2.55\\\\\Rightarrow\ x=2.55-1.05=1.5[/tex]

Hence, the cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

What is the product?​

Answers

Answer:x=45.6

Step-by-step explanation:

Answer:

(x^2 - 5x^2 + 4x) / 2x + 8

Step-by-step explanation:

(x^2 - 16) / 2x + 8 * (x^3 - 2x^2 + x) / (x^2 + 3x -4)

(x^5 - 2x^4 - 15x^3 + 32x^2 -16x) / 2(x - 1)(x + 4)(x + 4)

x(x-1)(x-1)(x+4)(x-4) / 2(x - 1)(x + 4)(x + 4)

(x^3 -5x^2 +4x) / 2x + 8

.) What is the unit rate in miles per gallon?
=

Answers

There is no unit you just need to work it out by dividing the miles travelled by the amount of gallons it took to refill.

Answer:

25 miles per gallon 10 gallons is the UNIT RATE.

Which of the points are solutions to the inequality check all that apply

Answers

Answer:

B,C,D

ONLY

Step-by-step explanation:

Answer:

(-2,-5)

(1,1)

(3,5)

for ed

Step-by-step explanation:

It took a car 4 days to travel 2686 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

28

Step-by-step explanation:

Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs

so the car travelled 2686 miles in 96 hours

2686/96= 27.9791666667

So the car's average speed is about 28

Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!

Answers

There are 16800 grams :)

Answer: the answer I’m is 16,800

Step-by-step explanation:

To find the number of kg you multiply the number by 1,000.

16.8*1,000=16,800

CONSTRUCTION The area of Liberty Township’s square playground is represented by the trinomial x^2 - 10x + 25. Write an expression using the variable x that represents the perimeter.

Answers

Answer:

X=5 and X=5

Step-by-step explanation:

X²-10x+25=0

X²-5x-5x+25=0

X(x-5)-5(x-5)=0

(X-5) (x-5)=0

X-5=0. x-5=0

X=5. x=5

is y=-2x linear or non linear

Answers

Answer:

Step-by-step explanation:

Iinear

Explain a line graph in your own words

Answers

Answer:

A line graph (also known as a line plot or line chart) is a graph which uses lines to connect individual data points that display quantitative values over a specified time interval. Line graphs use data point "markers" that are connected by straight lines to aid in visualization.

1 and 2 is all I need and you guys would help me from not getting beat

Answers

Answer:

1. -10

2. -11

Step-by-step explanation:

21.06 + 3.3x = 6.7x – 9.54

Answers

The answer is 9
21.06+9.54=6.7x-3.3x

I’ll give you brainlest if you answer this question correctly it goes to the first person!

Answers

Answer:

It would be -4 for "x" and -6 for "y"

Step-by-step explanation:

x+z=-4+-6=-10

x-y=-4--6=2

Need help now!!!! Find the area of a rhombus

Answers

Answer: 80 in

Step-by-step explanation:

Answer:

64 in

Step-by-step explanation:

please help me !!! easy question and i’ll give brainliest

Answers

Answer:

x = 35.1 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos x = 27/33

Take the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1(27/33)

x =35.09680123

To the nearest tenth

x = 35.1 degrees

Answer:

x=35.1

Step-by-step explanation:

cos(x)=[tex]\frac{27^{2}+33^{2}-360 }{2(27)(33)}[/tex]

x=35.1(correct to the nearest tenth)

Jada had read 2/3 of a book . She has read 60 pages so far . How many pages are in the whole book?

Answers

90 pages in the whole book

-5√112
I have to solve this using perfect square factors, is anyone familiar with those?

Answers

Answer:

-20√7

Step-by-step explanation:

Here. we want to write this in the simpler form

we can have 112 as; 16 * 7

√112 = √(16*7)

√112 = 4 √7

so, we have

-5 * 4 √(7 = -20 √7

Which ones are true?

Answers

Answer:

its box 1,3,5

Step-by-step explanation:

Help pleaseeeee I will try and give brainliest

Answers

Answer:

the answers B c=35h+50

Step-by-step explanation:

Answer:

the answer is D. c= 85h

Step-by-step explanation:

i think this is the answer if it is correct plz give brainliest.

A boat travel 448 km using 112 litres of gasoline.How far can the boat travel using 1 litre of gasoline​

Answers

Divide total distance by total liters used.

448 km / 112 liters = 4 km per liter.

Using 1 liter of gas the boat can travel 4 km.

Answer:

1 litre = 4 km

Step-by-step explanation:

448/112 = 4/1

Cross multiplication, 448 x 1 divided by 112 = 4

Jessica is returning home from a trip. The function d(t)=458-60t models the distance, in miles, that Jessica is from her house t hours after she began returning home. How far is Jessica from her home 5 minutes after she began returning home?


A.

5 miles


B.

158 miles


C.

300 miles


D.

453 miles

Answers

Answer: D. 453 miles .

Step-by-step explanation:

Given: The function [tex]d(t)=458-60t[/tex] models the distance, in miles, that Jessica is from her house t hours after she began returning home.

At t = 5 minutes = [tex]\dfrac{5}{60}[/tex] hour     [1 hour = 60 minutes],

Distance covered by Jessica in 5 minutes = [tex]d(\dfrac{5}{60})=458-60(\dfrac{5}{60})[/tex]

[tex]=458-5=453\ miles[/tex]

Jessica is 453 miles from her home after 5 minutes she began returning home.

Hence, the correct option is D. 453 miles .

a car is traveling at a constant velocity of 60km/h east for 4 hours. choose the correct statement about the acceleration of the car

Answers

I’m just saying this so I can get points but I think if u divide u should get da answer
So by definition and in math talk, A = dV/dT = 0/4 = 0 acceleration. ANS. A hope that helped

x+0.5y=1.5 solve for y

Answers

Answer:

Y = 3 - 2x

Step-by-step explanation:

Solve each equation.
1)
9c + 1 = 10

Answers

Answer:

doesnt c = 1

Step-by-step explanation:

I don't even know I'm just tryna get points

What is T6 in exponential form?
6
DONE

Answers

Answer:

T6 is already in exponential form.

Step-by-step explanation:

The reason why T6 is already written in exponential form is beacuse nothing further can be done with this equation.

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