Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
[tex]3x - 2y = 5[/tex]
[tex]xy = - 2[/tex]
Now,
[tex](3x - 2y) {}^{2} = (5) {}^{2} \\ [/tex]
Use the algebraic identity ⇻ (a - b)² = a² - 2ab + b²
[tex](3x - 2y) {}^{2} = (5) {}^{2} \\ 3x {}^{2} - 2 \times 3x \times 2y + 2y {}^{2} = 5 {}^{2} \\ 9 {x}^{2} - 12xy + 4y {}^{2} = 25 \\9x {}^{2} + 4y {}^{2} = 25 + 12xy \\ 9x {}^{2} + 4 {y}^{2} - 1 = 24 + 12xy[/tex]
✐ So, the value of 9x² + 4y² - 1 is 24 + 12xy
Now,
xy = - 2
So, 12xy = 12 × - 2 = - 24
•°• 24 + 12xy
= 24 + (-24)
= 24 - 24
= 0
⎆ The value of 9x² + 4y² - 1 is 0.ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
The formula below is the general form of which of the following formulas?
X= -b+-(√b^2 - 4ac)
/2a
A. Distance formula
B. Discriminant formula
C. Quadratic formula
D. Slope formula
Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints?
Answer question 1 in the image
Answer:
The student is correct
Step-by-step explanation:
It has the numbers next to letter with a power so nit dose have a three term degree.
how many solutions does -3x+12-9x+8=-3(4x-7)
Answer:
-3x+12-9x+8=-3(4x-7)
-3x+12-9x+8=-12x+21
-12x+21=-12x+21
21=21
infinitely many solutions
hope this helps
have a good day :)
Step-by-step explanation:
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
-3x + 12 - 9x + 8 = - 3(4x - 7)
Simplify the equation, then we have
- 3x + 12 - 9x + 8 = -3(4x - 7)
- 12x + 20 = - 12x + 21
12x - 12x = 1
(0) x = 1
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
More about the solution of the equation link is given below.
https://brainly.com/question/22613204
#SPJ3
A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals
Answer:
4%
Step-by-step explanation:
[tex]\frac{part}{entirety} *100[/tex]
[tex]\frac{397}{9925} *100 =4[/tex]
Which of the following systems of equations has many solutions?
1.
2x + 3y = 6
y= 2x + 2
2.
8x - 4y= 12
y=2x-3
.
3
y= 4x + 3
y= 4x - 3
4.
2x + y = 4
-2x - y = 4
Answer:
This is very.....
Step-by-step explanation:
hard
Please someone help me please
Answer:
x = 21.46
Step-by-step explanation:
[tex]cos 56 = \frac{adjacent}{hypotenuse} = \frac{12}{x}\\\\x = \frac{12}{cos 56} = 21.46[/tex]
Answer:
Step-by-step explanation:
take 56 degree as reference angle
using cos rule
cos 56=adjacent/hypotenuse
0.55=12/x
x=12/0.55
x=21.81
x=21.8
Will give brainliest and 15 points
Statistics & Data
For this data set, there is an outlier. The outlier is four.
This is representing a small number of assignments required in math class that month.
This means that the correct answer is B.
Answer:
B
Step-by-step explanation:
The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.
If you think I missed something or made a mistake, please let me know.
A comet travels at an average speed of 282,000 km/h.
It takes 6 days for the comet to reach Earth.
Find the distance, in km, the comet travelled.
Answer:
40,608,000 km or 4.0608×[tex]10^{7}[/tex] km
Step-by-step explanation:
Speed(km/h) = Distance(km)/Time(Hours)
Distance = Speed × Time
6 days = 24 × 6 = 144 hours
282,000 km/h × 144 hours = 40,608,000 km
I need help answering this question
will mark brainliest if answer correctly
6. C. Given
7. C. L is the midpoint of EM
8. .D . Definition of midpoint
9. B . < FLE= <ALM
10. C .ASA Postulate
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answer:
hypotenuse is the correct answer
Answer: A) hypotenuse
Step-by-step explanation: I need two more brainliest for the next rank I’d appreciate it
find the equation of the line that is perpendicluar to y=-2/3x and contains the point (4,-8)
Answer:
Step-by-step explanation:
The slope of two perpendiculars is
m1*m2 = - 1
m1 = - 2/3
-2/3 * m2 = -1 Multiply both sides by -3/2
-3/2 * -2/3 * m2 = -1*-3/2
m2 = 3/2
So far what you have is
y = 3/2 x + b
x = 4
y = - 8
-8 = 3/2*4 + b
-8 = 6 + b Subtract 6 from both sides
b = - 14
Complete line
y = 3/2 x - 14
The red line is y = -2/3x
The blue line is y = 3/2x - 14
The point (4,-8) is marked for you
Please help!!!! really appreciate anyone who helps
Answer:
5
Step-by-step explanation:
Slope can be referred to as rise over run, where rise represents the change y-values and run represents the change in x-values of any two points the line passes through.
Since the line passes through the points (0, 0) and (1, 5), the change in y-values is 5 and the change in x-values is 1, hence the slope is 5/1=5 (ans).
Slope formula:
[tex]m=\frac{\Delta y}{\Delta y},\\m=\frac{5-0}{1-0}=\frac{5}{1}=\boxed{5}[/tex]
its 5 bc its a positive slope (It's going up) by 5 over 1 (5/1) and... 5/1 is just 5
find the vertex of the following parabolas y=-5x^2+10x+3
Answer:
I did the work in the image below :D
Need Help please ASAP NO LINKS!!!
Will give brainllest to who ever gets it right:)
Answer:
11.9
Step-by-step explanation:
in maths, we are aware that in triangles we can use sine, cosine, and tangent.
using tangent, we have
tan 29⁰=6.6/x
and tan 29⁰=0.5543
0.5543=6.6/x
cross multiply
0.5543x=6.6
x= 6.6/0.5543
x= 11.9
What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?
The answer is (-1,-3)
All you have to do is divide your point by 4, since it is a fraction. if its not then multiply.
#1
{(3, 7), (2, 4), (-1, 7), (0, 2)}
The domain is...
The range is....
How does the graph of y = 3^xcompare to the graph of y = 3^-x?
A. The graphs are the same.
B.The graphs are reflected across the x-axis.
C. The graphs are reflected across the y-axis.
Answer:
C
Step-by-step explanation:
The graphs are reflected across the y-axis.
The cost of a phone is reduced by 20%. The new cost is $70.40. What was the original price?
Answer:
.8x = $70.40
x = 70.4/.8
x = $88
Step-by-step explanation:
if z is directly proportional to x and z=12 when x=3,Find the value of x when z=18 *
Answer:
x = 4.5
Step-by-step explanation
When z is 6 that means x is 1.5 which means that when z is 18 then x is 4.5 because we add 3+1.5 which is 4.5
PLEASE HELP!!!!
Pythagorean Theorem
Answer:
Pythagorean Theorem is A^2+B^2=C^2
Step-by-step explanation:
URGENT!!!
Select the correct answer.
A population has a standard deviation of 25.29. What is the approximate standard error of the mean for a sample size of 175?
The answer is 1.91 but can someone show me how they got that answer?
Will mark brainliest
Answer:
Standard error of the mean: 1.91
Step-by-step explanation:
The standard error of a sample mean is [tex]SEM=\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] is the sample standard deviation and [tex]n[/tex] is the sample size. Therefore, the standard error of the mean for a sample size of 175 is [tex]SEM=\frac{\sigma}{\sqrt{n}}=\frac{25.29}{\sqrt{175}}=1.911744304\approx1.91[/tex]
Guys i need a little help pls ( 10 points )
Answer:
A grizzly bear's normal heart rate when not hibernating is about 50 beats per minute.
Step-by-step explanation:
10÷50=.20
please help me fill in the blanks asap !!! the first question is a yes or no question. thankyou
Answer:
No, because the longest side is too short to be the hypotenuse of a right triangle.
Step-by-step explanation:
To see if the sides form a right triangle
6² + 8² = 9²
36 + 64 = 81
100 ≠ 81
The the 3rd side is too short
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean. A sample of 21 oceanfront homes sold within the last year revealed the standard deviation of the selling prices was $45,600. A sample of 18 homes, also sold within the last year, that were one to three blocks from the ocean revealed that the standard deviation was $21,330. At the .01 significance level, find the F-value. Leave your answer in 2 decimal places
Answer:
The F-value is approximately 4.57
Step-by-step explanation:
The given parameters are;
The number of oceanfront homes in the sample, n₁ = 21 homes
The standard deviation of the selling prices, s₁ = $45,600
The number homes in the sample of homes one to three blocks from the ocean, n₂ = 18 homes
The standard deviation, s₂ = $21,330
The level of significance, α = 0.01
The F-test is given as follows;
[tex]F = \dfrac{s_1^2}{s_2^2}[/tex]
Therefore, we get;
F = 45,600²/21,330² ≈ 4.57
The F-value ≈ 4.57
The critical value from the F-table = 1.86236.
In this exercise we have to use the knowledge about force to calculate the critical force, in this way we find that:
[tex]F-value: 4.57[/tex]
We know that the information given by the text is:
The number of oceanfront homes in the sample: [tex]n_1 = 21 homes[/tex] The standard deviation of the selling prices: [tex]S_1 = $45,600[/tex] The number homes in the sample of homes one to three blocks from the ocean: [tex]n_2 = 18 homes[/tex] The standard deviation: [tex]S_2 = $21,330[/tex] The level of significance: [tex]\alpha= 0.01[/tex]The F-test is given as follows:
[tex]F=(S_1^2)/(S^2_2)[/tex]
So we have:
[tex]F=(45.600^2)/(21.330^2)=4.57\\[/tex]
See more about force at brainly.com/question/4456579
PLEASE HELP!
Find the surface area and the volume of the solid
Answer:
50 is the surface area
Step-by-step explanation:
Jayden is going to see a movie and is taking his 3 kids. Each movie ticket costs $12 and there are an assortment of snacks available to purchase for $3 each. How much total money would Jayden have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Jayden have to pay if he bought xx snacks for everybody to share?
Answer: Total price to pay with 4 snacks = $48
Total price to pay with x snacks =36+3x
Step-by-step explanation:
Given: Jayden is going to see a movie and is taking his 3 kids.
Each ticket cost = $12
Cost of all tickets = 3 x $12
= $36
Price for each snack = $3
Price for 4 snacks = $3 x 4
= $12
Total price to pay = Cost of all tickets + price of all snacks
Total price to pay with 4 snacks = $(36+12)
= $ 48
Price for x snacks = $3x
Total price to pay with x snacks =36+3x
Sidewalk chalk comes in a pack of 24 for $2.59 Bruce takes $20 to the store and purchases as many packs of sidewalk chalk as he can with the money
After purchasing sidewalk chalk how much change your Bruce have assuming no sales tax?
note: type your answers decimal number
Answer:
He has $1.87 change left after purchasing 7 packs of chalk.
Step-by-step explanation:
20/2.59 = 7.722 approx.
So Bruce can purchase 7 packs of chalk at $2.59 each.
Change left
= 20 -7*2.59
= $1.87
Math question please show work due today last day to submit Assignments or I fail please help
Answer:
A. 41
B. 1,590
C. .1
Step-by-step explanation:
A.
the equation is l*w=A
9.2*4.5=A
41.4=A
rounded it would be 41
B.
the equation is pi*r^2=A
3.14*22.5^2=A
3.14*506.25=A
1,589.6=A
^round this up to get 1,590
C.
what I did was use a*b/2 to find one side then add the other side (less complicated in my opinion)
.5*.2/2=A
.1/2=A
.05=A
.05+.05=0.1
Answer:
[tex]\text{a. }41.4\:\mathrm{m^2},\\\text{b. }1590.4\:\mathrm{cm^2},\\\text{c. }0.1\:\mathrm{m^2}[/tex]
Step-by-step explanation:
Part A:
The figure implies a rectangle. The area of a rectangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=bh[/tex].
What we're given:
[tex]b[/tex] of 9.2[tex]h[/tex] of 4.5Therefore, the area of the rectangle is [tex]9.2\cdot 4.5=\boxed{41.4\:\mathrm{m^2}}[/tex]
Part B:
The figure shows a circle. The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. In the figure, the diameter is marked as 45 cm. To find the radius, we must divided this by 2, because by definition, the radius if half the diameter. Therefore, [tex]r=\frac{45}{2}=22.5\:\mathrm{cm}[/tex] and the area of this circle, rounded to the nearest tenth, is [tex]22.5^2\pi=1590.43128088\approx \boxed{1590.4\:\mathrm{cm^2}}[/tex]
Part C:
The figure shows a triangle (polygon with three sides). The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex].
What we're given:
[tex]b[/tex] of 0.4[tex]h[/tex] of 0.5Substituting given values, we get:
[tex]A=\frac{1}{2}\cdot 0.4\cdot 0.5=\boxed{0.1\:\mathrm{m^2}}[/tex]
