Answer:
x² - y² = 135
<=> (x - y)(x + y) = 135
<=> 15(x + y) = 135
=> x + y = 135/15 = 9
=> (x + y)² = 81
i need help please
Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
Answer:
The correct answer is (a) 4a + 22b
Please only answer if you can help!!
Answer:
Shifted by 6 units left on the x-axis.
Step-by-step explanation:
Given function is,
f(x) = 5ˣ + 1
After transformation, this function becomes g(x) = [tex]5^{(x+6)}+1[/tex]
Here, g(x) = f(x + 6)
By the rule of transformation,
Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.
Solve the inequality.
Answer:
B) n ≥ -20
Step-by-step explanation:
n/4 ≥ -5
n ≥ -20
1.
Given the two equations:
y + x = 5
y-2x = -1
i)
Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 3. Make a line plot of the data. What age occurs most often?
Answer:
The age which occurs most often is 45 with a frequency of 3
Step-by-step explanation:
Given the data :
33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38
Using the line graph plotter
Is this right please help me
Answer:
there's nothing there you have to insert a file
Step-by-step explanation:
Write an inequality for the statement. Use "A" as your variable.
The age of Salem plus the age of his cousin. who is 12 years old, is a total that is greater than 21 years.
Pleaseee help
Answer:
A + 12 > 21
Step-by-step explanation:
This means the sum of salem and his cousin's age should be bigger than 21 years.
Need help or answers down bad
Solve the inequality for y
Answer:
12
Step-by-step explanation:
[tex]6y \geqslant 72 \\ divide \: both \: side \: by \: 6 \\ y \geqslant \frac{72}{6} \\ y \geqslant 12[/tex]
Answer:
6y > 72
Inequality Form: y > 12
Interval Notation: (12,infinite loop)
I have answered have a good day.
There are 20% more girls than boys in the Engineer's
Club. There are 120 girls in the Engineer's Club. How
many boys are there?
To paint a wall, we have to find its.
A. Area
B. Perimeter
C. Length
Answer:
A. AreaStep-by-step explanation:
A wall is rectangular in shape. The area of a shape is used to determine the amount of space taken up by a 2Dimensional or surface.
So, the area of the wall will help determine the amount of space the paint will take.
R(-1,-3), S(4,4), T(8,-1)
PLZ HELP ME
9514 1404 393
Answer:
see attachments
Step-by-step explanation:
The side lengths are found using the distance formula.
d = √((x2-x1)^2 +(y2-y1)^2)
For example, the length of RS in the first triangle is ...
d = √((4-(-1))^2 +(4-(-3))^2) = √(25 +49) = √74 ≈ 8.602
This same computation is used for all of the sides of the triangles. When the same tedious computation is repeated over and over, I like to use a spreadsheet to do it. In the attached spreadsheet the two points used are the one on the same line as the distance, and the one on the line below. Side lengths are shown in the attachment to 3 decimal places.
__
In order to classify the triangle as acute, right, or obtuse, we can compare the side lengths to those of a right triangle. For the purposes of computation in a spreadsheet, it is convenient to compute the middle length side of a right triangle that has the same longest and shortest sides as the triangle we have.
If the computed side is longer than the actual middle side, then the triangle we have is obtuse. If it is shorter, the triangle we have is acute. If it is exactly the same, then the triangle we have is a right triangle.
In every case here, the computed middle side is shorter than the actual middle-length side, so all of the triangles are acute triangles. (The one of problem 39 is isosceles, since two sides are the same length. The others are scalene.)
__
The triangles are graphed in the second attachment.
problem 38: RST
problem 39: ABC
problem 40: DEF
Question 42 points)
Tell whether the triangles
are similar.
Yes or No
Answer:
yes
Step-by-step explanation:
Answer:
yes. 81+51+48 = 180
I hope this helps
A circular swimming pool has a radius of 3.5 m Liz is placing a piece of rope around the edge of the pool if Liz has exactly enough rope, which measurement is the closest to the length of the piece of rope in meters
Answer:
the length of the piece of rope in meters is 22
Step-by-step explanation:
The computation of the length of the piece of rope in meters is shown below:
= 2πr
= 2 × 3.14 × 3.5m
= 21.98
= 22 meters
Hence, the length of the piece of rope in meters is 22
Express the number 540 as a product of the powers of its prime factors.
Answer:
2 × 2 × 3 × 5 × 3 × 3 =540
Step-by-step explanation:
The song lasts 3 minutes and 27 seconds. If Rasmus' beloved has to get home before the song is over, and rides a bike at an average speed of 15 km / h, how far away must her work be from their home?
Set up an equation that describes the problem where x is the distance between home and work.
Answer:
Kindly check explanation
Step-by-step explanation:
From the question :
Duration, time, t = 3 minutes, 27 seconds = (3 * 60) + 27 = 207 seconds
Average speed = 15 km/h = (15*1000) /3600 = 4.16666 m/s
Let distance = x
Recall:
Speed = distance / time
Distance = speed * time
x ≤ (speed * time)
x ≤ (4.16666 * 207)
x ≤ 862.5 m
x ≤ (862.5 / 1000) km
x ≤ 0.862.5 km
During hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many shots did he take?
Answer:
86 shots
Step-by-step explanation:
Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not spend any of that money for 1 week. Finally, she spent $15 on new sunglasses.
Which part of the scenario is best represented by a linear increasing interval?
A. Bentley has $40 in her piggy bank.
B. Bentley spent $10 on new flip flops.
C. Bentley got $20 for her allowance.
D. Bentley spent $15 on sunglasses.
Answer:
C. Bentley got $20 for her allowance.
Step-by-step explanation:
If Bentley was given $40 at first, then spent $10, we plot a line on the graph that decreases and then she receives $20. $20 is bigger than $10, therefore this is the scenario best represented by a linear increasing interval.
I hope this makes sense!! ^-^
Legends will get a heart ❤️ if they get this right
Answer:
3a. Angles q,r, and u are 105 degrees.
b. Angles p,s, and t are 75 degrees.
Step-by-step explanation:
Vertical angles, or angles that are across from each other, are congruent, meaning they are the same angle. When you shrink it, its angles are still the same.
Hope this helps:)
You are selling tickets to your class play. You have sold 70 tickets, at a constant cost per ticket, and raised $840
What is the unit cost of the ticket
Answer: $12
Step-by-step explanation: 840 divided by 70 is $12
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line
with a slope of 5.7. See the figure below.
With 46 gallons of fuel in its tank, the airplane has a weight of 2162.2 pounds. What is the weight of the plane with 18 gallons of fuel in its tank?
Answer:
total plane weight with 82gallons fuel is 2424.80 lbs.
identify the percent of change from 2/5 to 5/15 as an increase or decrease. Then find the percent of change.
Answer:
150% Increase
Step-by-step explanation:
Hopefully that is correct!
Is this triangle a AA SAS or SSS or Not Similar
PLS HELP PLS PLS
Answer:
AA (similar)
Step-by-step explanation:
<Q = <U
64 + 37 = 101°
180 - 101 = 79°
<S is a reflexive angle, congruent on both sides.
AA similarity
Alguien me pude decir una adivinanza o historia q la solución sea una ecuación de segundo grado completa????
Answer:
Una ecuación de segundo grado completa es algo como:
y = a*x^2 + b*x + c
Un problema tipico que usa ecuaciones de este tipo es algo que nos haga multiplicar dos términos como h*(x + k) y n*(x + j)
Donde h, k, n, y j son números reales.
Entonces planteemos el siguiente caso.
"Juan tiene una tabla rectangular, de tal forma que su largo es (x + 3cm), y el ancho es igual a dos veces su largo, si sabemos que el área de esta tabla es 95 cm^2 ¿cuál es el valor de x?"
Acá hay que recordar que para un rectángulo de largo L y ancho W, el área es:
A = L*W
En este caso tendremos:
L = (x + 3cm)
Y el ancho es dos veces eso, entonces:
W = 2*(x + 3cm)
Entonces el area de esta tabla se escribirá como:
A = (x + 3cm)*2*(x + 3cm)
Ahora solo tenemos que expandir eso:
A = 2*x^2 + 12cm*x + 18cm^2
Ahora sabemos que el area de esta tabla es 95cm^2
Entonces:
95cm^2 = 2*x^2 + 12cm*x + 18cm^2
0 = 2*x^2 + 12cm*x + (18cm^2 - 95cm^2)
0 = 2*x^2 + 12cm*x - 77 cm^2
Esta es una ecuación de segundo grado completa, la cual deberiamos resolver para encontrar el valor de x como se nos pide en el problema.
3pq(2p-4q)=
Ans?
Help.
Step-by-step explanation:
Given
3pq (2p - 4q)
= 6p²q - 12pq²
[tex]hope \: it \: will \: help[/tex]
Answer:
hey how r u I'm Aditya from india can we friends?
Step-by-step explanation:
and can u fo llo w me plss
Combine the like terms to create an equivalent expression 10k + 4k
Answer:
14k
They both have the same variable, so use the communitive property and there is your answer!
An 80-foot rope is attached to a boat
7 feet above the water level as shown and a
boy jumps over the wake while
wakeboarding. What is the distance between
his hands and the water level?
80 ft
:[?] ft
Round to the nearest hundredth.
Enter
An 80-foot rope is attached to a boat
7 feet above the water level as shown and a
boy jumps over the wake while
wakeboarding. What is the distance between
his hands and the water level?
80 ft
:[?] ft
Round to the nearest hundredth.
enter
Answer:2.81 feet
Peter determined the area, in square miles, of a piece of land using his calculator. The result of his calculation is displayed on his calculator in scientific notation as 7.4e – 4.
Which statement is true of the area of the piece of land?
Answer:
The true statement of the area of the piece of land is;
(C) It is between 0.0007 and 0.007 square mile
Step-by-step explanation:
Using scientific notation, we have the value of a measurement presented as follows;
c × 10ⁿ = ce±n
Where;
c = The coefficient number, less than 10
en = 1 × 10⁺ⁿ
e-n = 1 × 10⁻ⁿ
Therefore, the given number, 7.4 e - 4, can be expressed as follows;
7.4 e - 4 = 7.4 × 10⁻⁴ = 0.00074
0.00074 ≈ 0.0007 and we have;
0.0007 < 0.00074 < 0.007
The correct option is therefore that it is between 0.0007 and 0.007 square mile
The statement that is true of the area of the piece of land is that it is between 0.000074 and 0.00074
The standard form for writing scientific notation is given as A * 10^n
Given the result of his calculation displayed on his calculator in scientific notation as 7.4e^-4.Writing this as a standard value will give:
7.4e^-4 = 0.00074 (Note that the decimal point was shifted back in four placsHence the statement that is true of the area of the piece of land is that it is between 0.000074 and 0.00074
Learn more on scientific notation here: https://brainly.com/question/13526198
3 calculators cost £36.30.
How much do 10 calculators cost?
Answer:
Cost of 1 calculator= 36.30÷ 3
= 12.1
Cost of 10 = 121
What is a name for the marked angle?
A: CAD
B: CDA
C: FAB
D: FDA
Answer:
A.) Angle CAD
Step-by-step explanation:
Hope this helps! :)