Answer:
A)
Step-by-step explanation:
the area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. find a if it is known that parabola opens upward
Answer
1/4 × 6 × (5a) = 12
15a=12
a= 4/5
Step-by-step explanation:
The area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. The constant (a) of the function is 4.
How to find the if the parabola is open?The triangle formed by the parabola has a base equal to the distance between the points where the graph touches the x-axis and height (h) is the point where the graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, the base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, the distance here;
b = 3 - (-2)
b = 5
The area of the triangle is 10. So
5a = 10 x 2
a = 4
The constant (a) of the function y = a(x-3)(x+2) is 4.
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Do you know the answer? LA = GY - D
Answer:
G = LA/Y + D/Y
Isolate the variable by dividing each side by factors that don't contain the variable.
Hoped this helped!
What type of solution represents the system x + y = 8 2x + 2y = 16
Answer:
Subtract y from both sides of the equation.
x=8−y
2x+2y=16
Replace all occurrences of x with 8−y in each equation.
16=16
x=8−y
Remove any equations from the system that are always true.
x=8−y
Step-by-step explanation:
2y - x = -8
Put it in line slope-intercept simplifying all fractions
If the coordinates of A are (1, 1) and the midpoint of AB is (0,0.5), then the coordinates of B are -
Answer:
B (-1, 0)
Step-by-step explanation:
( in portuguese )
o ponto médio é calculado pela soma das abcissas a dividir por 2 e pela somas das ordenadas a dividir por 2, então sendo que se sabe o valor final, e um ponto fica :
(1+x)÷2 = 0 ⇔ x = -1
(1 + y) ÷ 2 = 1/2⇔ y=0
Actividad a desarrollar:
ayudaa plisss
Answer:
a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}
b) A∩ B = { 2, 4, 6 }
c) A-B = { 8 , 10}
Step-by-step explanation:
Step(i):-
Given that the sets
U = { 1,2,3,4,5,6,7,8,9,10}
A = { 2,4,6,8,10}
B = { 1,2,3,4,5,6}
AUB = { 2,4,6,8,10} U { 1,2,3,4,5,6}
AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}
Step(ii):-
A∩ B = { 2 ,4, 6, 8,10} ∩ { 1,2,3,4,5,6} = { 2, 4, 6 }
A-B = { 2,4,6,8,10} - { 1,2,3,4,5,6} = { 8 , 10}
Final answer:-
a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}
b) A∩ B = { 2, 4, 6 }
c) A-B = { 8 , 10}
help what is the value of b?
Answer:
44 °
Step-by-step explanation:
180- (84+52) = 44
Answer:
44 degrees
Step-by-step explanation:
A triangle has a total of 180 degrees.
First, add the 2 sides that are given to you:
84 + 52 = 136 degrees
Subtract 136 from 180 to find the remaining angle:
180 - 136 = 44 degrees
b = 44 degrees
Solve the system of equations using elimination. How many solutions does the system have?
15j + 12k = 18
5j + 4k = 6
Responses
A. One solution, j = 3, k = 3
B. No solution
C. One solution, j = 10, k = 8
D. Infinitely many solutions
Answer:
I hope it helps u
Step-by-step explanation:
Let's solve your system by elimination.
15j+12k=18;5j+4k=6
Multiply the second equation by -3, then add the equations together.
(15j+12k=18)
−3(5j+4k=6)
Becomes:
15j+12k=18
−15j−12k=−18
Add these equations to eliminate j:
0=0
Answer:
Infinitely many solutions
Note: Please Brain-list it ok dear!
If u have any doubt you can ask ok
Write an expression showing the sum of 8 and a number .
Answer:
8+ n
Step-by-step explanation:
my answer got delete so dont think i coped the person who did was user content bot
What is the slope the line that passes through the points (-1, 3) and (1, -7)?
a. -5
b. 0
c. 4
d. undefined
Answer:
-5 <3
Step-by-step explanation:
Which equation could represent the relationship shown in the scatter plot?
A: y=−3/4x+10
B: y=−3x−2
C: y=−2/3x+1
D: y=9x−1/2
Answer:
A
Step-by-step explanation:
Use POE, none of the answer makes any sense
Answer: The correct answer would be A
Step-by-step explanation:
This question asks us what equation could represent the scatter plot. While we may not be looking for an exact line of fit we want one that can best represent the data that we have. While I would highly recommend graphing each equation as it would give you a much greater understanding of the material you can also piece together a correct answer just by looking at the equations. First of all, by looking at the graph we can tell that the slope is negative because as we progress along the x axis the values on the y axis get lower and lower meaning that we have a downward sloping line. This immediately narrows out D because we can see that there is no - sign before the 9x which represents the slope. We can also narrow out B right away as the slope is too extreme for our scenario. A slope of -3 means that it would have to be a lot more vertical than we see represented in this scatter plot. -3 means that the line would have to go down 3 units for every 1 unit it horizontally moves if that makes sense. Now we are left with two possible answer choices, A and C. We can now look at the y intercept point of these equations to determine the best answer. The y intercept is the point at which the line crosses the y axis. C has a y intercept of 1 and we see the scatter plot points congregate much higher on the y axis than 1 so that rules out that answer leaving us with A! Just to double check our answer we know a slope of -3/4x seems reasonable based on the previous information and we can certainly see that a y intercept of 10 would make sense! I hope this has been of use to you and please do not hesitate if you have anything you would like me to elaborate on :) Have a wonderful rest of your day!
1. Solve through substitution
y = -3.x + 4. y = 4x – 10
Enter your math answer
Answer:
y= -2 and x= 2.
Step-by-step explanation:
(y=-3x+4)4
(y=4x-10)3
make the x's cancel out.
you get 7y=-14.
y=-2.
-2=-3x+4
x=2
Use the given x and y values to write a direct variation
equation. Enter your answer in the form y = kx.
x = 5, y = 50
The form is y = kx
Replace y and x:
50 = k(5)
Solve for k by dividing both sides by 5
K = 10
The price of a shirt is usually £48.
During a sale the prices in the shop are reduced by 3/4
How much is the shirt in the sale?
Answer:
Im not sure about the answer but..
Step-by-step explanation:
you use the calculator or watch videos on this
Hope it helped :(
would appreciate some help with this question, I am struggling!
SOMEONE DO THESE QUESTIONS FOR ME ASAP!! - GIVING BRAINLIEST
Answer:
1 Question= 26
2 Question=41
3 Question= 57
4 Question= 15
5 Question = 20
Step-by-step explanation:
What would the remainder of 5672 ÷ 9 be?Please help me :(
Raul is 75 ft from the world's tallest totem pole in Alert Bay, Canada. It is 173 ft tall. Raul's eyes are 5 ft from the ground, what is the angle of elevation from his line of sight to the top of the totem pole? Round the the nearest degree.
Answer:
65.9
Step-by-step explanation:
A line passes through the point (-2, 7) and has a slope of -5.
Answer:
y - 7 = -5(x + 2)
Step-by-step explanation:
What's the goal of this problem? Please include the instructions.
If you want the equation of the line, recognize that a point on the line and the slope of the line are given: y - k= m(x - h) becomes y - 7 = -5(x + 2)
what is -4(x+3)=16-4x
Answer:
There is no solution
Step-by-step explanation:
-4(x+3)=16-4x
expand
−4x−12=16−4x
cancel out
−12=16
because −12=16 is false there is no solution.
Hope this helps :)
Does y = 2x + 4 show direct variation?
Answer:
no
Step-by-step explanation:
Direct variation is of the form
y = kx
This has a constant added
y = kx+b so it is not a direct variation
Answer:
NO
Step-by-step explanation:
in order for it to be a direct variation, "+4" must be out of the equation. y=kx
Hey What is -5t > 10
Answer: 10 (ten) is an even number
following 9 and preceding 11
Step-by-step explanation:
what is the answer to pie
3.14 or 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989
If x : 3 = 5 : 7 , then x = ………
Answer:
the answer is A which 2(1/7)
Help me plzzzz, thanks If you do
hope it's helpful ❤❤❤❤
THANK YOU.
What is the slope of a line parallel to the line whose equation is x+2y=10
Answer: slope =
-1/2
Step-by-step explanation:
Since they are parallel, they will never intersect. The only way this is possible is if they have the same slope. All you had to do was get y by itself and find the number next to the x. Subtract the ten and the 2y and pass them to their opposite sides that way it will be x-10= -2y. After that, divide the -2 by everything on the x side. The final equation is -1/2x -10= y.
look at screenshot and answer question
Answer:
24x+32
Step-by-step explanation:
=(3x+4)(8)
=(3x)(8)+(4)(8)
=24x+32
A video posted to the internet had 3,200 views in its first week
(a ) The video got 4, 640 views in its second week. What was the percent increase in the views from the first week?
Answer:
45%
Step-by-step explanation:
The computation of the percentage increase from the first week is shown below:
Given that
In the first week there is 3,200 views
And, in the second week, there is 4,640 views
So, the percentage increase is
= (Second week views - first week views) ÷ (first week views)
= (4,640 - 3,200) ÷ (3,200)
= 45%
What is the value of
2021
−
2223
+
2425
?
?
Answer:
2223
Step-by-step explanation:
We need to find the value of 2021-2223+2425.
Firstly subtract 2223 from 2021.
2021-2223 = -202
Now add -202 and 2425. So,
2425 +(-202) = 2223
So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.
The graph represents the amount of money Sal earns for babysitting.
Graph where the x- axis gives time in hours and runs from zero to three and beyond. The y- axis gives earnings in dollars and runs from zero to twenty four and beyond. A straight line intersects the axes at (0, 0). Its coordinates are (5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20)
Part A
What does the ordered pair (2.5, 20) represent in the situation?
A. $2.50 for 20 hours
B. $1 for 0.125 hours
C. $0.125 for 1 hour
D. $20 for 2.5 hours
Part B
Does the graph represent a proportional relationship? Explain.
A.
Yes. The line passes through the origin.
B.
Yes. The line has a variable rate of change.
C.
No. The slope is not constant.
D.
No. The line has a y-intercept greater than 0.
Part C
What is the linear equation represented by the graph?
A. y = 20x + 2.5
B. y = 2.5x + 20
C. y = 8x
D. y = 0.125x
Answer: d, a, and c
Step-by-step explanation:
Part(A)
The ordered pair (2.5, 20) represents $2.50 for 20 hours. the correct option is A.
Part(B),
Yes. the line passes through the origin. The correct option is A.
Part(C),
The linear equation represented by the graph is y = 8x. The correct option is C.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that coordinates are (0.5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20).
Part(A),
The ordered pair (2.5,20) represents that the earning is $20 for the work of 2.5 hours.
Part(B),
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 8 - 4 ) / ( 1 - 0.5 )
Slope = 4 / 0.5
Slope = 40 / 5
Slope = 8 hours
The y-intercept is calculated as,
y = mx + c
16 = ( 2 x 8 ) + c
c = 16 - 16
c = 0
Hence, the line passes through the origin.
Part(C),
The equation of the line will be written as,
y = mx + c
y = 8x + 0
y = 8x
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