The equation of line is x+2y+3=0.
What is a equation of the line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.
Given:
x:-1 -5 1
y:-1 3 3
So,
m= 3-1/-5-(-1)
m= 2/-4
m=-1/2
Now, equation of line
(y-(-1))= m (x-(-1))
y+1= -1/2(x+1)
2y+2=-x-1
x+2y+3=0
Hence, the equation of line is x+2y+3=0.
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Please help urgent!!!
Which statement about the functions is true?
The minimum value of f(x) is less than the minimum value of g(x).
f(x) and g(x) intersect at exactly one point.
f(x) and g(x) have the same y-intercept.
The x-intercepts of f(x) are common to those of g(x) .
The x-intercepts of f(x) are common to those of g(x) .
What is x-intercept?
The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis. The value of y is equal to zero at x-intercept.
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.
Choice 2 is not true. Point B is not on the parabola.
Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.
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what is the polar coordinate of (0, pie)
Answer:
The angle's beginning and ending points are referred to as the initial and terminal sides, respectively. Distance from the origin and two angles are the three parameters of 3D polar coordinates or spherical coordinates. is a three-dimensional polar coordinate.
Step-by-step explanation:
Read above.
Yuson must complete 15 hours of community sevice. She does 3 hours each day. Which linear equation represents the hours Yuson still has to work after x days?
A. Y=3x + 15
B. Y= -3x - 15
C. Y= -3x + 15
D. Y= 3x - 15
Answer:
C) y = -3x + 15
Step-by-step explanation:
Let's start with the hours required, 15. For each day worked we can subtract 3 hours. X days would mean 3x hours. Subtract that from the goal of 15 hours:
15 - 3x
The time remaining, y, is given by the equation 15 - 3x.
Rearrange the equation to match the format in the options,
y = 15 - 3x
y = -3x + 15
Option C
A jazz concert brought in $153,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is
Answer:
the answr is 87 jistg ebcaujse
Step-by-step explanation:
3,500 tickets were sold for $15 each and 4,600 tickets were sold for $25 each.
Let x be the number of $15 tickets and y be the number of $25 tickets.
We know that:
x + y = 7,500 (the total number of tickets sold)
15x + 25y = 153,500 (the total amount of money made from ticket sales)
We can use the first equation to express y in terms of x:
y = 7,500 - x
We can substitute this expression of y into the second equation:
15x + 25(7,500 - x) = 153,500
Solving for x:
15x + 25(7,500) - 25x = 153,500
15x + 187500 - 25x = 153,500
-10x = -34,000
x = 3400
Therefore, 3,400 tickets were sold for $15 each and 7,500 - 3,500 = 4000 tickets were sold for $25 each.
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Please help i been asking since yesterday
Calculate the perimeter of the triangle for problems
B. Calculate the area of the triangle for problems
Answer:
To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.
Answer:
1) 21.24cm
2)19.8ft
3)22.84mm [2.284cm]
Step-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
1) perimeter = 5.4+8.84+7
=> 5.4+8.84+7 = 21.24,
21.24cm
2) perimeter = 6.6 + 6.6 + 6.6 i.e 6.6* 3
=> 6.6 x 3 = 19.8
19.8ft
3) perimeter = 8.3 + 4.9 + 9.64
=> 8.3 + 4.9 + 9.64 = 22.84
22.84mm or 2.284cm
AREA
1) it's a right triangle,
=> Area of a right triangle = 1/2 × base × height.
=> here, base is a and height is b
=> a = 7, b = 5.4
=> now we multiply it,
=> 7*5.4 = 37.8
=> now multiply it with 1/2,
=> 1/2 x 37.8 = 37.8/2
=> 37.8/2 = 18.9
2) it's an equilateral triangle,
18.8620
the formula is √3 a^2/ 4
=> √3* 6.6^2/ 4
=> 75.4481/4 = 18.8620
3) 20.335
base = a = 8.3
height = b = 4.9
=> 8.3 * 4.9 = 40.68
=> 40.68/2 = 20.335
hope this helps:)
Could you help me find X,
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{4}{x}~~ = ~~\cfrac{x}{9}\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]
Part F What is the mean absolute deviation for Doctor A’s data set on glasses? What is the mean absolute deviation for Doctor B’s data set on glasses? Write a sentence comparing the variation of the two data sets using their mean absolute deviations.
Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115
There is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset
The doctors' mean absolute deviation on glassesThe dataset of doctor A is given as:
643 634 670 658 636 624 641 655 649 629
The dataset of doctor B is given as:
651 625 622 624 631 621 653 647 646 646
Using a statistical calculator, we have:
Doctor A
Doctor A: Mean Absolute Deviation (MAD) = 11.28Doctor B: Mean Absolute Deviation (MAD) = 12Hence, the mean absolute deviation is 11.28 for Doctor A’s and 12 for Doctor B’s data set on glasses
The variation of the two dataIn a dataset, the larger the mean absolute deviations value, the larger the variation.
By comparison, 12 is greater than 11.28
Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset
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Find two integers whose sum is -5 andproduct is 4
Answer:
-1 and -4
Step-by-step explanation:
-1 + -4 = -5
-1 times -4 = 4
give brainiest please!
hope this helps ;)
A baseball field is a square with sides of length 90 feet. What is the
shortest distance between first base and third base?
A.90
B.180 squared
C.90
D.16200 squared
Question 15 of 25
What is the value of x in the diagram below?
49
LY
14
2
please help !!!! and please answer every question not just one part.
Answer:
1) C. x-1 tells us that it has decreased by a value
2) original number of apples
3) 4(x-1)=28. Divide by 4, then take the 1 over
Combine the radicals 4√7+3√28.
Answer:
10√7
Step-by-step explanation:
[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]
Answer:
10√7
Step-by-step explanation:
To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).
4√7 + 3√28 <---- Original expression
4√7 + 3(√4 x √7) <---- Expand √28
4√7 + (3 x 2)√7 <----- Take √4
4√7 + 6√7 <---- Multiply coefficients
10√7 <---- Add both terms
In 2003 Exxon Mobil received a contract from the government worth $756,733 while Aerospace received a contract from the government worth $539,517. What was the combined total of their contracts?
The combined total of their contracts is $1,296,250
How to determine the combined total?The values of the contracts are given as:
Exxon Mobil= $756,733Aerospace = $539,517The combined total is represented as:
Total = Exxon Mobil + Aerospace
Substitute known values
Total = $756,733 + $539,517
Evaluate the sum
Total = $1,296,250
Hence, the combined total of their contracts is $1,296,250
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Classify each polynomial according to its degree and type. Look at the screenshot below!
Answer:
Monomial Binominal Trimoninal
Degree 1: -9x x + 6
Degree 2: -4[tex]x^{2}[/tex] [tex]4x^{2} -x[/tex] [tex]x -3x^{2} + 1[/tex]
Degree 3: 4[tex]x^{3}[/tex] 5 - 2[tex]x^{3}[/tex] [tex]3x^{2} + 3x^{3} -10[/tex]
Step-by-step explanation:
I do not know how to explain how I got to this answer, but here is the answer.
Multiply.
(3x+2)(2x−5)
6x^2+4x−3
6x^2−10
6x^2−11x−10
6x^2−13x−3
Answer: Heyaa! ^^
Your Answer when multiplied is.. 6x²−11x−10
Step-by-step explanation:
6x^2−11x−10Expand the polynomial using the FOIL method.- FOIL EXPLANATION -
A handy way to remember how to multiply two binomials.It stands for "First, Outer, Inner, Last"
- It is the sum of: -· multiplying the First terms,
· multiplying the Outer terms,
· multiplying the Inner terms, and
· multiplying the Last terms
Hopefully this helps you! ~
how do you stop a skunk from smelling?
Answer:
Hold its nose
Step-by-step explanation:
You can actually de-scent a skunk if it is the powerful defensive odor you are referring to. When you have a skunk de-scented, they are no longer able to spray, and at this point they are now similar to having a pet cat or dog; lovable and highly desire affection and attention from their owners.
The spin and dine restaurants ice cream for dessert Chloe actually won a bet and gets to spin two spinners disliked one random flavor of ice cream and one random topping. A, how many different possible combinations can she spin. B what is the probability of spinning Chloe's preference vanilla ice cream with chocolate a rainbow sprinkles,
The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12
The missing part of the questionFlavor of ice cream: Vanilla, Strawberry, Chocolate
Topping: Rainbow sprinkles, Caramel sauce, Nuts, Cherries
The number of different combinationsUsing the dataset above, we have:
Ice cream = 3
Topping = 4
The number of different combinations is calculated as:
Combination = ice cream * Topping
Evaluate
Combination = 3 * 4
Combination = 12
Hence, the number of different combinations is 12
The probability of spinning vanilla ice cream with chocolate a rainbow sprinklesThe vanilla ice cream with chocolate a rainbow sprinkles is just one of the 12 combinations.
So, the probability is:
P = 1/12
Hence, the probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12
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V (x) = x(9-2x) (11-2x)
The expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
How to expand the expression?The missing information in the question is to express V(x) in standard form
We have:
V(x) = x(9-2x) (11-2x)
Open the brackets
V (x) = x(99 - 2x - 18x + 4x^2)
Evaluate the like terms
V (x) = x(99 - 20x + 4x^2)
Expand
V (x) = 99x - 20x^2 + 4x^3
Rewrite as:
V(x) = 4x^3 - 20x^2 + 99x
Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
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A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is also given an initial velocity of 14 m/s. Assuming that the effects of friction and air resistance can be ignored, what will be the maximum height that the pendulum can reach - that is , what is the height at point B? (Recall that g = 9.8 m/s2.)
Answer:
D. 20 m
Step-by-step explanation:
The potential energy at Point B will be the sum of the potential and kinetic energies at point A.
__
energy formulasFor mass M, the potential energy at h meters above a rest height is ...
PE = Mgh
The kinetic energy of mass M with velocity v is ...
KE = 1/2Mv²
point A energyA pendulum with mass M launched downward at v = 14 m/s will have a total energy of ...
PE +KE = M(9.8 m/s²)(10 m) +1/2(M)(14 m/s)² = M(98 +98) = 196M J/kg
point B energyWhen the pendulum comes to rest at point B, its energy will all have been converted to potential energy. Then the height at point B is given by ...
PE = Mgh
196M J/kg = M(9.8 m/s²)h
h = (196M)/(9.8M) m = 20 m
The height of the mass at point B will be 20 meters.
The error term in a regression equation is said to exhibit homoskedasticty if _____. a. it has the same value for all values of the explanatory variable b. if the error term has a value of one given any value of the explanatory variable c. it has the same variance for all values of the explanatory variable d. it has zero conditional mean
The error term in a regression equation is said to exhibit homoscedasticity if it has the same variance for all values of the explanatory variable.
What is Homoscedasticity?This is a condition in which equal variance is assumed for different groups of data or variables.
The same variance will be observed in the variable in the error term of a regression equation hence option C was chosen.
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Without using the formula, work out the gradient of the graph shown.
Answer:
1/3
Step-by-step explanation:
please help me out :(
Answer:
The correct answer is B.
Step-by-step explanation:
Pay per month depends on hours of training, so hours of training is the domain, and pay per month is the range.
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
$0
0
f(t) = $5
30 < 1 ≤ 90
$10
> 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.
How to explain the cost?In this situation, the function is f (t), when t is a value between 0 and 30. The cost is $0 for the first 30 minutes
When t is a value between 30 and 90, the cost is US$ 5 if the connection takes between 30 and 90 minutes.
Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.
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Select all the correct answers.
What are the solutions to this equation?
5 - √√(x² - 9) = 7
1
-√17
√17
There are no solutions.
-1
Please answer correctly.
Answer:
same thing for the rest, you just change the value of the radius according to the question
Step-by-step explanation:
area = pi * radius²
1)
a = pi * 10²
a = ~3.14 * 100
a = 314 mi²
PotrzebnaPomoc!
Mam nietypowe pytanie, ale jak się liczy objętość graniastosłupa, to na końcu zawsze jest do sześcianu?
W sensie jak mamy jakiś zadanie np. Prostopadloscian o wymiarach 2cm X 1dm X 5mm (2cm X 10cm X 0,5), to wyjdzie na 10cm, ale do trzeciej. I czy w każdym graniastosłupie wyjdzie do sześcianu na końcu? W każdym tego typu zadaniu? Proszę o pomoc, bo ważne, jak ktoś nie wie, to niech nie pisze, pls
Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.
Which of the following statements are true of the hypotenuse of a right triangle?
Its length is the sum of the lengths of the other two sides.
It is one of the legs.
It is the longest side of a right triangle.
It is opposite the right angle.
It forms a right angle with an adjacent side.
Answer:
It is the longest side of a right triangle.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
756 x 300??????? ?????????
Answer:
226,800
Step-by-step explanation:
Calculator
Answer:226,800
Step-by-step explanation:
The Transamerica Pyramid Building in San Francisco is 853 ft tall with a square base that is 149 ft on each side.
To the nearest thousand cubic feet, what is the volume of the Transamerica Pyramid?
Which of the following best describes /JKL?
32°
L
K
The best statement that describes the angle JKL is inscribed angle.
What is an inscribed angle?An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.
The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.
The angle ∠JKL is not a vertical angle because it's not vertically opposite any angle.
The angle ∠JKL is not a central angle because it was not from from the centre of the circle.
The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.
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