Answer:
[tex](x-y)=\sqrt{5}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that:\\x^2-y^2=15\\x+y=3 \sqrt{5}\\Now,\\We\ know\ that,\\If\ x\ and\ y\ are\ two\ real\ numbers,\\Then:\\(x+y)(x-y)=x^2-y^2\\Here,\\Substituting\ (x+y)=3\sqrt{5}\ in\ the\ LHS\ and\ (x^2-y^2)=15\ in\ the\ RHS,\\(x+y)(x-y)=x^2-y^2\\3\sqrt{5} (x-y)= 15\\Hence,\\(x-y)=\frac{15}{3\sqrt{5} } \\(x-y)=\frac{5*3}{3\sqrt{5} }\\(x-y)=\frac{5}{\sqrt{5} } [Cancelling\ 3\ from\ the\ numerator\ and\ denominator]\\(x-y)=\frac{\sqrt{5}*\sqrt{5} }{\sqrt{5} }\\(x-y)=\sqrt{5}[/tex]
Trisha has $100 to spend on presents for 4 of her friends. She wants to spend the same amount on each friend. How much money can she spend on each friend (x)?
*Choose the inequality that best matches this scenario.
a. 4+x ≤ 100
b. 4x ≤ 100
c. x ÷ 100 ≥ 4
d. 100 - x ≥ 4
Answer:
B
Step-by-step explanation:
Trisha has $100. So she has to spend less than $100 or exactly 100 on her friends. The sign to represent this is ≤ ( the less than or equal to sign )
so if she has 4 friends and wants to spend x on each friend, she would spend a total of 4x on her 4 friends.
Remember that she has to spend less than or equal to $100. The equation to represent this is 4x ≤ 100
Cynthia's dad is pushing her on the swing. At her highest point, she is 6ft off of the ground. If he does not give her another push, each progressive swing will be 90% of the height of the previous swing. In the spaces provide, explain how you can find the height of the next three swings, then complete the table.
im trying to find the answer to this question to, it makes no sense to me
What is 1,9746 divided by 145.00928
Answer:
136.17059542672028
Step-by-step explanation:
just divide my friend
To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?
Answer:
We need 4 litres of red paint.
Step-by-step explanation:
We need to take their respective precentages to compare the 3 litres of paint to 8 litres of paint.
[tex] \frac{1.5}{3} \times 100\% = 50\% \\ \frac{1.25}{3} \times 100\% = 41.67\% \\ \frac{0.25}{3} \times 100\% = 8.33\% \\ [/tex]
Now, we know that the pale purple paint contains 50% red paint, 41.67% blue paint, and 8.33% white paint.
Now, we will transfer these percentages to the 8 litres of paint:
[tex]50\% \: of \: 8 \: litres = 0.5(8) = 4 \: litres \\ 41.67\% \: of \: 8 \: litres = 0.4167(8) = 3.3336 \: litres \\ 8.33\% \: of \: 8 \: litres = 0.0833(8) = 0.6664 \: litres[/tex]
If the shortest side of a right triangle is 19, what are the lengths of the other TWO sides
that makes the side lengths a Pythagorean triple? HELP ASAP PLZ
Answer:
180 and 181
Step-by-step explanation:
A pythagorean triple basically refers to numbers that satisfies the pythagorean theorem. This theorem states that the square of the hypotenus (a) of a right angle triangle is equal to the sum of the squares of the other two sides (b and c).
That is;
a² = b² + c²
If the shortest side is 19, the other two sides are 180 and 181.
The hypotenus is the longest side of the right angle triangle.
Check:
181 = 180 + 19
181² = 180² + 19²
32761 = 32400 + 361
32761 = 32761
Please help we already know it’s not the bottom one
Answer:
A. x^2-3
Step-by-step explanation:
There are no stretches or compressions, just translated down 3 units.
Abby sent a text message to three friends inviting each of them to a party each of those friends sent the message 3 more friends. Then each of these friends send a message to three more friends. If 2/3 of the friends receiving a text message attended the party how many friends attend the party
Answer:
26 friends not including abby
Step-by-step explanation:
i just drew it on a piece of paper and there were 39 people. then i just took 39 and multiplied it by 2/3 and got 26.
whats all the fractions that are eqvalent to 4/3
Answer:8/6,12/9
Step-by-step explanation:
The fraction 8/6 is equal to 4/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (4/3) by any interger number, ie, multiply by 2, 3, 10, 30... 8/6 is equivalent to 4/3 because 4 x 2 = 8 and 3 x 2 = 6 12/9 is equivalent to 4/3 because 4 x 3 = 12 and 3 x 3 = 9
Answer:
4/3 = 8/6 = 12/9 = 16/12
= 20/15 = 24/18 = 28/21 = 32/24
= 36/27 = 40/30 = 44/33 = 48/36
= 52/39 = 56/42 = 60/45 = 64/48
= 68/51 = 72/54 = 76/57 = 80/60
= 84/63 = 88/66 = 92/69 = 96/72
= 100/75 = 104/78 = 108/81 = 112/84
= 116/87 = 120/90 = 124/93 = 128/96
= 132/99 = 136/102 = 140/105 = 144/108
= 148/111 = 152/114 = 156/117 = 160/120
= 164/123 = 168/126 = 172/129 = 176/132
= 180/135 = 184/138 = 188/141 = 192/144
= 196/147 = 200/150 = 204/153 = 208/156
= 212/159 = 216/162 = 220/165 = 224/168
= 228/171 = 232/174 = 236/177 = 240/180
= 244/183 = 248/186 = 252/189 = 256/192
= 260/195 = 264/198 = 268/201 = 272/204
= 276/207 = 280/210 = 284/213 = 288/216
= 292/219 = 296/222 = 300/225 = 304/228
= 308/231 = 312/234 = 316/237 = 320/240
= 324/243 = 328/246 = 332/249 = 336/252
= 340/255 = 344/258 = 348/261 = 352/264
= 356/267 = 360/270 = 364/273 = 368/276
= 372/279 = 376/282 = 380/285 = 384/288
= 388/291 = 392/294 = 396/297 = 400/300
Step-by-step explanation:
Determine the number of acute, obtuse, and right angles in the shape above. cute angles.
Answer:
2 acute 1 obtuse 1 right
Step-by-step explanation:
What is the slope of the line that passes through the points (-3, 5) and (1, 15)
Which formula represents the nth term of arithmetic sequence 2, 5, 8, 11, ...?
Formula: An = A1 + (n - 1)d
Answer:
B
Step-by-step explanation:
[tex]a1 = 2 \\ a2 = 5 \\ d = a2 - a1 = 5 - 2 = 3[/tex]
[tex]an = 2 + (n - 1)3 \\ an = 2 + 3n - 3 \\ an = 3n - 1[/tex]
graph the equation y= -3x+4
Answer:
Here's what it would look like:
P divided by 4 in an algebraic expression
Answer:
P/4
Step-by-step explanation:
-5(-y+5)+ 5y=-5
Solved by substitution
Answer:
5y(5) +5y=-5
25y+5y=-5
30y=-5
Step-by-step explanation:
plz help me
John dives down from the surface of water at a rate of 2 feet per second. Where will he be from the surface of water after 30 seconds?
Answer:
I think the answer is 60 feet.
Step-by-step explanation:
Because his rate is 2 feet per second and the question asks where he'll be after 30 seconds, the answer has to be 60 feet.
I hope this helps!
2) k+k-72
Greatest common factor?
Answer:
2!!
Step-by-step explanation:
what is 5/6 + 3/4 showing my work.
Answer:
1 and 7/12
Step-by-step explanation:
make the denominators the same and do what you do to the bottom to the top too
10/12+9/12=19/12=1 and 7/12
Answer:
find the LCD least common dom
so
5/6 ×2/2= 10/12
3/4 ×2/2 = 9/12
the combine is 19/12 so 1 7/12 :)
Which quadratic function is represented by the graph?
f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)
Answer:
I believe the answer is f(x) = 0.5(x + 3)(x − 1)
Step-by-step explanation:
Answer: i think its f(x) = 0.5(x + 3)(x − 1)
Step-by-step explanation:
please helppp! I'll give brailiest
Answer:
range of given function is -5/3,-1,4/3
Arya deals in clothing and accessories. She bought 10 shirts at a wholesale price of 1120 each and sold them
all at a profit of 40 percent.
What was the price Arya charged for the 10 shirts?
Answer:
15680
Step-by-step explanation:
Cost of 1 shirt: 1120
Cost of 10 shirts: 11200
Add 40% to the cost of 10 shirts:
40% + 100% = 140% = 1.4
1.4 * $11200 = 15680
Answer: 15680
i need a math tutor for math i need help with my homework i’m so lost
Answer:
Ok which problem
Step-by-step explanation:
Answer:
I can try to help... what is the question?
solve
k-3/4=2/5
asap
Answer:
k = 23/20
Please give brainliest!
Answer:
Step-by-step explanation:
Add 3/4 to both sides
k=2/5+3/4
Simplify
then your answer is 23/20
The day before the day before yesterday was two days after the day before my birthday.
Today is Thursday. On what day was my birthday?
Answer:
Your answer is indeed Saturday.
Step-by-step explanation:
The day before, (Wednesday) the day before, (Tuesday) yesterday, (Monday).
And then after the day before my Birthday, (sunday and then Saturday.)
Solve for x: 2/5=4/x
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
Using your number sense, you recognize that a fraction equivalent to 2/5 that has 4 in the numerator is 4/10. This tells you x = 10.
__
The usual instructions for solving this algebraically are to "cross multiply", then divide by the coefficient of x.
2/5 = 4/x . . . . given
2x = 20 . . . . . multiply by 5x on both sides
x = 10 . . . . . . . divide by 2
__
You can do the above two steps both at once: multiply by 5/2x.
(2/5)(5/2x) = (4/x)(5/2x)
x = 20/2 = 10
Can anybody help me with this please
Answer:
non-linear because there is not a constant rate of change
Step-by-step explanation:
x y
175 213
167 219
145 179
86 98
175-167=8
167-8=159
PLZ HLP! A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary.
The area of a circle is area = pi x r^2
The full area = 3.14 x 20^2 = 1256 square feet.
The corner forms a 90 degree angle so the dirt area is 3/4 of a full circle.
Answer = 1256 x 3/4 = 942 square feet
Answer:
Step-by-step explanation:
942 SQUARE FEET
17x2 - 5x + 10x - 8x2
Answer:
9x2+5x
Step-by-step explanation:
combine like terms
the perimeter of a rectangular plot of land whoose length is 2x+15and width x-10m is 80cm find the area of x
Answer:
x=25
the area of x squared is then 625
Step-by-step explanation:
3x +5 = 80
3x= 75
x=25
the area of x squared is then 625
the formula for the cost of buying a car=
cost=12×monthly pavement +deposit
the cost of another car is 8000 pounds
find the monthly pavement when deposit is 2600 pounds
Simplify the expression:
(-1 + 3x)(4.9) =
Answer:
9
Step-by-step explanation: