Answer:
It can be factorised
Step-by-step explanation:
Given
x²y² + 36 - 4x² - 9y² ( rearranging )
x²y² - 4x² - 9y² + 36 ( factor first/second and third/fourth terms )
= x²(y² - 4) - 9(y² - 4) ← factor out (y² - 4) from each term
= (y² - 4)(x² - 9)
Both factors are a difference of squares and factor in general as
a² - b² = (a - b)(a + b)
Thus
y² - 4
= y² - 2² = (y - 2)(y + 2) , and
x² - 9
= x² - 3² = (x - 3)(x + 3)
Hence
x²y² + 36 - 4x² - 9y² = (y - 2)(y + 2)(x - 3)(x + 3)
What is the solution of StartRoot 2 x + 4 EndRoot = 16?
We start with
[tex]\sqrt{2x+4}=16[/tex]
Since both sides of the equality are positive, we can square them to get
[tex]2x+4=256[/tex]
Subtract 4 from both sides and then divide both sides by 2:
[tex]2x+4=256 \iff 2x=252\iff x=126[/tex]
Answer:
x=126
Step-by-step explanation:
Ayúdenme ;----;:
El director de una institución educativa organizó un proyecto de presentación teatral.
El costo de las entradas fue de 30 soles para los adultos y 20 soles para los niños. Si el sábado pasado
asistieron 248 personas y se reunieron 5930 soles, ¿cuántos adultos y cuántos niños respectivamente asis-
tieron a esa función?
Answer:
97 adults and 151 children assisted to that show.Step-by-step explanation:
We are gonna use "dollars" instead of "soles.
According to the problem, tickets cost $30 for adults and $20 for children.
Last Saturday assisted 248 people which gave a total of $5930.
To know the number of adults and children were there, we need to defined a system of equations.
[tex]x+y=248\\30x+20y=5930[/tex]
Where [tex]x[/tex] represents adults and [tex]y[/tex] represents children.
First, we multiply the first equation by -20
[tex]-20x-20y=-4960[/tex]
Then, we sum this equation with the second one
[tex]10x=970\\x=97[/tex]
There were 97 adults.
Now, we use this value to find the other one
[tex]x+y=248\\97+y=248\\y=248-97\\y=151[/tex]
There were 151 children.
Therefore, 97 adults and 151 children assisted to that show.
Find the distance between (-4,10) and (0,12)
Answer:
Approximately 4.47 or the square root of 20.
Step-by-step explanation:
use distance formula
Layla has 4 pounds of birdseed seeds. each day she feeds the robins 1/6 pounds of seedS. for how many days can she feed the Robbins
Answer:
24
Step-by-step explanation:
since 6/6 equals a whole, then 6/6 equals 1 pound. Since she feeds the birds 1/6 of a pound each day, just find out how many 6th are in 4 pounds (24).
Hope this helps :) good luck
What is the solution to the system of equations below?
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
(9, 3)
(3, 9)
(–9, –9)
(–9, 9)
Answer:
solution: (9, 3) , x = 9, y = 3
Step-by-step explanation:
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
convert to algebra.
- 4x + 6y = -18 ;
y = -2x + 21;
let us solve this with elimination
change -4x + 6y = -18 to -2x + 3y = -9
get: -2x + 3y = -9
and 2x + y = 21
add.
-2x + 2x + 3y + y = -9 + 21
4y = 12
y = 3
2x + (3 ) = 21
2x = 18
x = 9
(9, 3)
Answer:
A.(9,3)
Step-by-step explanation:
Each morning Papa notes the birds feeding on his birdfeeder. So far
this month he has seen 59 blue jays, 68 black crows, 12 red robins
and 1 cardinal.
Answer:
126 plz mark me brainliest.
Step-by-step explanation:
Answer:126
Step-by-step explanation:
The Adeeva's gross monthly income is $5600. They have 18 remaining payments of $ 360 on a new car. They are applying for a 15-year, $142 comma 000 mortgage at 7.5%. The taxes and insurance on the house are $270 per month. The bank will only approve a loan that has a total monthly mortgage payment of principal, interest, property taxes, and homeowners' insurance that is less than or equal to 28% of their adjusted monthly income. What is 28% of Adevas income
Answer:
$1,467.20
Step-by-step explanation:
Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20
To calculate 28% of $5600, multiply 5600 by 0.28. The result is $1568, which is 28% of Adeva's gross monthly income.
Explanation:The issue is figuring out 28% of Adeeva's gross monthly salary, which is fixed at $5600. The calculation is simple to perform using the (Amount/Total) x 100 rule for percentage calculations. The decimal equivalent of 28% is 0.28, so multiply $5600 by that number to get 28%. The computation yields a value of $1568. Therefore, $1568 or 28% of Adeeva's gross monthly revenue. By analyzing particular sections of overall profits, this technique demonstrates a fundamental use of percentages, enabling accurate financial computations and planning.
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y=13x − 1x − 3y = 5
What is the solution to the system of equations shown above?
Answer:
(5/3,5)
Step-by-step explanation:
The solution to the system of equations y = 13x - 1 and y = 5 is (6/13, 5).
To find the solution to the system of equations y = 13x - 1 and y = 5, we can substitute the second equation directly into the first one. Since both equations equal y, they must equal each other, thus:
13x - 1 = 5.
We can then solve for x:
Add 1 to both sides: 13x = 6
Divide both sides by 13: x = 6/13
Having determined the value of x to be 6/13, we can substitute this back into either equation to find y. Using the simpler one, y = 5.
Thus, the solution to the system of equations is (6/13, 5).
Yoo i need help!!
Which are solutions of the equation x2 – 16 = 0? Check all that apply.
x = –8
x = –4
x = –2
x = 2
x = 4
x = 8
Answer: B) -4 and E) 4
Step-by-step explanation:
Edg 2022
1. Four times a number minus twenty-one is the same as six times
the number plus eleven. What is the number?
Answer: -16
Step-by-step explanation:
Let the number be y
Four times a number minus twenty-one can be written as:
(4 × y) - 21 = 4y - 21
Six times the number plus eleven can be written as:
(6 × y) + 11 = 6y + 11
Combining both equations will give:
4y - 21 = 6y + 11
4y - 6y = 11 + 21
-2y = 32
y = 32/-2
y = -16
The number is -16
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of the central angle for eating in the circle graph.
a.) 28.8°
b.) 288°
c.) 60°
d.) 21.6°
I think it's (a), can you just double check please? I never trusted myself with percents lol. Thanks in advance \(^v^)/
Answer:
28.8 °
Step-by-step explanation:
100% = 360 °
8% = [tex]\frac{8*360}{100}[/tex] = 28.8 °
What is the approximate circumference of the circle shown below?
Answer:
A. 56.52 cm
Step-by-step explanation:
Formula:
Circumfrence= 2πr
r(radius) = 9 cm
C = 2πr
C = 2 x 3.14 x 9 cm
C = 6.28 x 9 cm
C = 56.52 cm
Circumfrence is 56.52 cm
The circumference of the circle is 56.52cm (A)
Calculating The Circumference Of A Circle.To calculate the circumference of a circle, the formula is Circumference (C) = 2πr.
Where;
radius (r) = 9cm
π = 3.14
Substitute the values into the formula.
C = 2 x 3.14 x 9
C = 56.52 cm
Therefore, the circumference of the circle is 56.52cm (A)
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add (9+5)+(3+2)
this needs to be simplified
Answer:
19
Step-by-step explanation:
[tex](9 + 5) + (3 + 2) \\ = (14) + (5) \\ = 19[/tex]
the table shows the value of a savings bond that doubles in value after 5 years. Which statement describes the bond
Answer: its C just took on edge
Step-by-step explanation:
A square plaza at a train station has a side length as
shown. Which expression represents the area of the
plaza in square meters?
2x + 6
O x² +9
6x + 9
O x2 + 6x + 9
The answer is D. x2 + 6x + 9 i just took the assignment
Final answer:
The expression that represents the area of a square plaza with side length 2x + 3 is x^2 + 6x + 9.
Explanation:
The question is asking to determine the expression that represents the area of a square plaza. The formula to calculate the area of a square is the length of one side squared (s2). If the side length is represented by the expression 2x + 3, then the area will be (2x + 3)2. When this binomial is squared, it follows the formula (a + b)2 = a2 + 2ab + b2, which leads to (2x)2 + 2(2x)(3) + (3)2 = 4x2 + 12x + 9. So, the correct expression representing the area of the plaza is x2 + 6x + 9.
PLEASE HELP ASAP!!!!!!! 1. Calculate the volume of this solid using the formula V=Bh (all angles are 90 degrees).
Answer:
V: 700
Step-by-step explanation:
refer to the pics. please rate and thumbs up
Assume that the following confidence interval for the difference in the mean length of male (sample 1) and female babies (sample 2) at birth was constructed using independent simple random samples. What does the confidence interval suggest about the difference in length between male babies and female babies? minus0.2 in.less thanmu 1minusmu 2less than1.7 in.
found the answer, it suggests there is no difference in the length between male and female babies
Answer:
The example stated indicate that there is no difference in the means of the two samples
Step-by-step explanation:
Solution
Recall that
The Confidence interval in the mean length of male (sample 1) and female sample (2) babies,which is,
Male babies= sample 1
Female babies = sample 2
What is the difference in length between male and female babies as suggested by the Confidence interval
Now,
The calculated Confidence interval is given as:
-0.2 < mu1 - mu2 < 1.7
So,
0 is included in the above CI, this indicates or suggests that there is no difference in the means of the two samples
The rate of change of a linear model depends on its initial conditions.
True
False
Answer:
false
Step-by-step explanation:
ye you welcome
You randomly choose one of the tiles, Without replacing the first tile, you choose a second tile. Find the probability of the compound event. NUMBERS 1, 2,3,4,5,6,7 Choosing tiles whose sum is 12
Answer:
The probability of choosing tiles which sum is 12 is 1/21
Step-by-step explanation:
The numbers we have is 1.2,3,4,5,6 and 7
The sum we are looking at is 12. The only sum that can give us this sum is the addition of 7 and 5
There are only two ways we can make this selection if order matters.
Either we pick 5 first then 7 second or 7 first and 5 second
The probability of picking a 5 first will be 1/7, since it is without replacement , the probability of picking a 7 next will be 1/6
The joint probability here would thus be 1/7 * 1/6 = 1/42
In the other second case where we are picking a 7 first and a 5 second, the probability here will be the same as first just that we reversed the other. Hence, the probability here is also 1/42
Now, the probability of either of the two orders happening will be 1/42 + 1/42 = 2/42 = 1/21
Final answer:
The probability of choosing tiles whose sum is 12 is 1/49.
Explanation:
Probability of choosing tiles whose sum is 12:
Number of favorable outcomes: 1 (getting two tiles that sum up to 12, which is 6+6)Total number of possible outcomes: 7*7 = 49 (as there are 7 choices for each tile)Probability = Number of favorable outcomes / Total number of possible outcomes = 1/49
How is the product of a complex number and a real number represented on the complex plane?
Consider the product of −2+8i and 5.
Answer:
The product of the real and complex number given is -10+40i
Step-by-step explanation:
The general form of a complex number is expressed as z = x+iy where
x is the real part and y is the imaginary part.
Given a complex and a real value as shown
z1 = −2+8i and z2 = 5+i0
Taking their product;
z1z2 = (−2+8i)(5+i0)
z1z2 = -10+0+40i+0
z1z2 = -10+40i
According to the product of the complex numbers, the resulting real part is -10 and the complex part is 40.
The representation on the complex plane is as shown in the attachment.
The complex number −2+8i has modulus of (1. 2√17)
When −2+8i is multiplied by 5, the modulus of the product is (2. 10√17)
Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with (3. a positive real number) are the same.
What is the slope of the line represented by y=-2x+1?
Answer:
-2 is the slope of the line
Step-by-step explanation:
The slope is what number you are multiplying x by in the equation. In the equation, x is being multiplied by -2. Therefore, the slope of the line represented by the equation is -2.
how many times can 1800750 go into 6
Answer:
0 times, it's too big of a number to go into 6.
Determine which equation is belongs to the graph of the limacon curve below.
Answer: Option C.
Step-by-step explanation:
We have functions of r(θ)
In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.
We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.
Then let's analyze the options:
A) r = 3 - 2*cos(θ)
the maximum is at the right angle, but the maximum is:
r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.
B) r = 3 - sin(θ)
For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.
C) r = 3 - cos(θ)
The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.
the minimum is r = 3 - 1 = 2,
this is a possible equation for our circle.
D) r = 2 - 2*cos(θ)
Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.
So the only option that makes sense is option C.
OOOOOOOF. HELP ME AND BRAINLIEST AND ALL POINTS GIVEAWAY
Answer:
54 square units
Step-by-step explanation:
12 times 9 = 108
108 divided by 2 equals 54
Fred is going to take a flight from miami
Answer:
I think it is 7hours and 15 min
Step-by-step explanation:
EASY QUESTION
Focus on question 5
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
Remember the formulas for volume, and you're golden.
a) V(prism) = area of base * height
= 12 cm^2 * 7 cm = 84 cm^3
b) V(prism) = area of base * height
= 88 cm^2 * 160 cm = 14080 cm^3
c) V(cylinder) = area of base * height
= 54 cm^2 * 1.5 cm = 81 cm^3
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
someone help please? 25 points
Answer:
Letter A is 12*12*12*12*12*12*12*12*12*12*12*12*12*12*12=180
Letter B is y , x = 2
Step-by-step explanation:
What is the y-intercept of the graph that is shown below?
-5 -4 -342-11 1 2 3 4 5 X
(-2,0)
0 (-1,2)
(0,4)
(4,0)
Answer:
(0,4)
Step-by-step explanation:
The y intercept is where the x value is zero
x=0 and y =4
The y intercept is (0,4)
Can you plz help me?
Answer:
sure
Step-by-step explanation:
with what
05.02 MC)
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A right trapezoid is shown with a height labeled 5 feet and one of the bases labeled as 8 feet, and the other base is labeled as 6 feet.
30 square feet
35 square feet
45 square feet
50 square feet
Answer:
45
Step-by-step explanation:
Answer:
35
Step-by-step explanation: