Answers
Step-by-step explanation:
the general equation for a line is usually
y = ax + b
a is the slope (the inclination) of the line indicating how flat or steep (and up or down) the line goes. it is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.
and b is the y-intercept, the y value for x=0, the point, where the line intercepts the y-axis.
the origin is the point (0, 0).
that gives us the y-intercept (b) right away, as this is therefore clearly the point, where the line intercepts the y-axis. so, b = 0.
and going from (0, 0) to (-2, 10) we see
x changes by -2 (from 0 to -2).
y changes by +10 (from 0 to 10).
so, the slope is +10/-2 = -5.
and the line equation is
y = -5x
[tex]\huge \text{Hello there! :)}[/tex]
Answer:
[tex]y=-5x[/tex]
Step-by-step explanation:
Given that the equation of a line passes through the origin and the point (-2,10), we can get the equation of the line below.
The slope-intercept form of the equation of the line is given as;
[tex]y=mx+b[/tex]
where m = slope and y = intercept
The formula for the slope is given as
[tex]\frac{y^{2-yx^{1} } }{x^{2-x^{1} }}[/tex]
The given points are the origin are (0,0) and (-2, 10)
[tex]m=\frac{10~-~0}{-2~-0} =\frac{10}{-2} =-5[/tex]
Now use the point-slope formula to solve for the equation of the line.
[tex](y-y^{1})=m(x-x^{1})[/tex]
For this situation, we are given the slope of -5 and (-2,10)
[tex]y-10=-5(x-(-2))[/tex]
[tex]y-10=5x-10[/tex]
[tex]Y+5x=+10-10[/tex]
[tex]y+5x=0[/tex]
[tex]y=-5x[/tex]
Therefore, the Answer is [tex]y=-5x[/tex]
[tex]\huge \text{Thanks for useing brainly!}[/tex]
[tex]\huge \text{Hope this helps!}[/tex]
Related Questions
And here’s the second one for the Brainly
Answers
Answer:
i guess it is 3a^3-20a^2+16a-24
You got 7 questions correct and 3 questions wrong on your test. What was your score as a percent?
Answers
7 correct + 3 incorrect= 10 total questions.
Answer:
70%
Step-by-step explanation:
Correct/total questions --> Formula for this problem
Correct questions - 7
Total questions - 10
So, 7/10=70%!
Hope this helps you!
make a prediction from the data. If the zombie added 5 more employess, how many more airplanes could they make
Answers
Write an equation in slope-intercept form that passes through the given pairs of points: (2, 5) and ( 12, 1)
Answers
Answer:
y=-6/10x+17/11
Step-by-step explanation:
1-5 keep it, change it, flip it. -6
12-2= 10
y=-6/10x+b
you can take one of the coordinates
I used (2,5) in the equation.
y is 5
m is -6/10
x is 2
-6/10x2 is -12/10
remember to drop down 5
5= -12/10+b
look for fluffy cloud -12/10 turn it to a positive and add it to five and the answer is 17/11 equals b.
Goran fills an aquarium to a depth of 4/5 meters in 8 minutes.
What is the unit rate in minutes per meter?
Write your answer in the simplest form.
Answers
Answer:
10minutes per meter
Explanation
⅘meters can be filled in 8 minutes
⅘m => 8minutes
1m => ?
(8 x 1) ÷ ⅘
8 x 5/4 = 10 minutes
Therefore, 1meter can be filled in 10minutes
Round 112.3398 to the nearest hundredth. Enter your answer in the space
provided.
Answers
Answer:
112.34
Step-by-step explanation:
The 2nd digit after the decimal point is in the hundredths position.
• If the digit following is ≥ 5 then round up
• If the digit following is < 5 then leave digit as it is
here the digit following the 3 in the hundredths position is 9 so round up
112.3398 ≈ 112.34 ( to the nearest hundredth )
Can someone please help me with these 3 Tysm!! (Please tell me how you solved them) will give brainlist <3
Answers
Answer:
1. 50
2.40
3. 9
Step-by-step explanation:
1. in this u need u plus ten with number given
2. in this u need to plus 5 in all the above numbers but i have subtracted bcoz it was below
3. in this u need to multiply 3 with every number like 9*3 27
hope it helps
6) 3x + 19 = 7x - 5
What is the value of x?
Answers
Answer:
x=6
Step-by-step explanation:
3x+19=7x-5
First of all you have to group like terms
19+5=7x-3x
24 = 4x
4 4
6=x
What DIY tools do you use in math-riddle-and no protractors is not the word.
Answers
Answer:
Step-by-step explanation:
how the heck are we supposed to know this?????
Answer:
You use multiplyers
2
Select the correct answer from each drop-down menu.
Zahid started the construction of an equilateral triangle inscribed in a circle. Which segments need to be drawn to create the triangle?
o.
To finish his construction, Zahid needs to draw segments DF,V, and
Answers
The joining of each three, two penultimate points on the circumference
of the circle, without intersection gives an equilateral triangle.
Response:
The segments that Zahid needs to draw are; DF, BF, and BDHow can the equilateral triangle be constructed from the given construction on the circle?The assumption can be taken that, the steps used to construct the
equilateral triangle inscribed in the circle by marking along the
circumference of the circle at 6 points using the radial length.
Therefore;
The lengths of the chords formed by joining a marked points to another point such that one marked point is between the two are equal.
Which gives;
The length of the chord, DF = The length of the chord, BF = The length of the chord, BD
Given that the joining DF, BF and BD forms a triangle, and DF = BF = BD, we have;
ΔBDF is an equilateral triangle, therefore;
To finish his construction, Zahid needs to draw segments DF;
BF, and BDLearn more about geometric construction here:
https://brainly.com/question/13160630
GIVING 30 POINTS!!
Which of the following is the best estimate for 62% of 29
18
12
5
15
Answers
Answer:
18
Step-by-step explanation:
62% of 29
[tex]\frac{62}{100}* 29[/tex]
[tex]0.62 * 29[/tex]
[tex]17.98[/tex]
[tex]18[/tex] .....best estimate if rounded off.
Answer:
18 is the answer
I need help, try to find x.
Answers
This is due to parallel rule.
X= 147 degrees please like and brainiest if correct!
You have to subtract the angles
180-33=147
What is the range of the function g(x) = |x – 12| – 2?.
Answers
The range of the given function is [-2,∞).
what is the range of a function?the range is the complete set of all possible values of the dependent variable say 'y'.
given function is: f(x)= |x – 12| – 2
f(x) = x-14 ∀ x≥12
f(x) = -x+10 ∀ x < 12
value of the above function at x=12 will be -2 means the minimum value of the function will be -2.
now, from the graph, we can see that f(x) is leading to infinity
so the range will be [-2,∞).
therefore, The range of the given function is [-2,∞).
to get more about range, refer to the link,
https://brainly.com/question/10197594
The range of the function is all real number of input value (y-value) grater than or equal to -2.
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function given in the problem is,
[tex]g(x) = |x - 12| - 2[/tex]
Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,
[tex]y=a|x-h|+k[/tex]
On comparing the vertex form with the given equation, we get,
[tex]h=12\\k=-2[/tex]
Now, as the tange of a function is the set of all the possible output values which are valid for that function.
Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.
Learn more about the range of the function here;
https://brainly.com/question/2264373
Which sequence is geometric and which is arithmetic?
Answers
The table on the left is arithmetic
This is because each term is increasing by the same amount (2) each time.
3+2 = 55+2 = 77+2 = 99+2 = 11--------------------------------------------
The table on the right is geometric
Why? Because this time we are multiplying each term by the same value (2) to get the next term.
3*2 = 66*2 = 1212*2 = 2424*2 = 48Both involve the number 2, but the first table uses addition while the second table uses multiplication.
1) Arithmetic
~3,5,7
common difference of 2
2)Geometric
~3,6,12
each term is found by multiplying the previous one by a fixed number
Hopefully this helped- have a good day)
PLEASE HELP !! with solution needed!!
Answers
[tex] \looparrowright \sf13x + 2 = 4x + 38[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf13x - 4x + 2 = 38[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf9x + 2 = 38[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf9x = 38 - 2[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf9x = 36[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = \dfrac{36}{9} [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = 4[/tex]
Answer:
x = 4Step-by-step explanation:
[tex]13x + 2 = 4x + 38 \\ 13x - 4x = 38 - 2 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]
I NEED HELP WITH THIS QUESTION FAST!!!!!!!
Answers
Answer:
3
Step-by-step explanation:
Find the value of x.
Answers
The sum of triangle angles = 180
180 = 90 + 2x +15 + x
75 = 3x
x = 25
Answer:
→x=25°
Step-by-step explanation:
→2x+15+x+90°=180°[Sum of a triangle is 180]
→3x+105°=180°
→3x=180°-105°
→x=75°/3
→x=25°
Hope it will help you.
Does the term investment mean the interest of something or the principle?
Answers
4. Choose an initial value that is less than zero. What happens to the value of the function as the number of iterations increases?
Answers
Step-by-step explanation:
The initial value of a function is the output value of the function when the input value is 0. For example, if your function is tracking how much money you made over a certain amount of time, then the initial value would be however much money you had to begin with on day 0.
what is 180.2 rounded to the nearest hundred
Answers
Answer:
The answer is 180.20
Have a great day!
Help please
What is the result of dividing x^3-4 by x+2?
(Dividing polynomials with long division)
Answers
Answer:
Step-by-step explanation:
There we go :))
a cone has a height of 4.5 inches and a diameter of 12 inches. What is its volume, in cubic inches?
Answers
Answer:
54π
Step-by-step explanation:
The volume for a cone is πr²h/3, which if we replace the number in, we get :
π6²4,5/3, which is approximately 54π
Hope it helps :)
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29. 5 years, what is its distance from the sun?.
Answers
The distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units
What is orbital period?Orbital period is the time period, which is required for a planet or one astronomical body to revolve completely around the other body.
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula
[tex]P =a^{3/2}[/tex]
The orbital period of Saturn is 29. 5 years. To find the value of distance of Saturn from the Sun, put the values in the above formula as,
[tex]29.5=a^{3/2}\\a=29.5^{3/2}\\a=9.54732\rm[/tex]
Thus, the distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units.
Learn more about the orbital period here;
https://brainly.com/question/1566620
A triangle has angle measures that are related as follows:
• The largest angle is eight times the smallest angle.
• The middle angle is triple the smallest angle..
a) write an equation to model the relationship
b) solve the equation and then determine the measure of each angle. Sketch the triangle and label the angle measures.
Answers
Answer:
a) a +8a +3a = 180°
b) 15°, 45°, 120°
c) see attached
Step-by-step explanation:
a)Let 'a' represent the measure of the smallest angle. The largest angle is 8a, and the middle angle is 3a. The sum of angles, as always, is 180°.
a +8a +3a = 180° . . . . . . equation modeling the relationship
__
b)12a = 180° . . . . . . collect terms
a = 15° . . . . . . . divide by 12
3a = 3×15° = 45°
8a = 8×15° = 120°
The angle measures are 15°, 45°, and 120°.
__
c)see attached. We have arbitrarily let the shortest side be 10 units.
An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal. A) At what rate is the plane gaining altitude? (Hint, the vertical component of velocity is the rate that the plane is gaining altitude). B). What is the horizontal component of velocity for the plane?.
Answers
The rate is the plane gaining altitude (y) is 300 m/sec and The horizontal component (x) of velocity for the plane is 400 m/sec.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal.
A. The rate is the plane gaining altitude (y) will be
[tex]\rm y = v * sin \theta\\\\y = 500 *sin 37\\\\y = 300 \ m/sec[/tex]
The rate is the plane gaining altitude (y) is 300 m/sec
B. The horizontal component (x) of velocity for the plane will be
[tex]\rm x = v * cos \theta\\\\x= 500 *cos 37\\\\x = 400 \ m/sec[/tex]
The horizontal component (x) of velocity for the plane is 400 m/sec.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
You select a card from a deck that contains 25 red cards, 12 blue cards, 8 yellow cards, and 5 red cards. What is the probability of drawing a red card?
Answers
Answer: 3/14!
Your welcome!
Step-by-step explanation: The probability P is actually formulated as "the successful outcomes S" over "the total number of possible outcomes T," that is P = S/T You are expecting to draw a blue card. Therefore the probability will beP (one blue card) = 6/28 = 3/14!
Solve for x and y!
Please show your work! To get brainliest!
Answers
As per questions:-
Image 1:-
[tex]x = 15 \sqrt{3} \\ y = 30[/tex]
Image 2:-
[tex]x = 16 \\ y = 8[/tex]
Image 3:-
[tex]x = 8 \\ y = 4[/tex]
(Also check the attached 3 images for explanation.
If using Brainly app, please swipe the images to the right to see the remaining images.)
Rearrange the equation to isolate E:
M=
Answers
Answer:
m • v^2 / 2 = E
Step-by-step explanation:
m = 2E/v^2
multiply each side by v^2
m • v^2 = 2E
divide each side by 2
m • v^2 / 2 = E
Answer:
c
Step-by-step explanation:
Which expression represents a negative number? pls awnser fast.
Answers
Answer:
YELLOW
Step-by-step explanation:
Just always keep this tip in mind:
A negative times a positive is a negative, and a negative times another negative cancels out to become a positive.
If there is an odd number of negatives multiplied together, the outcome will always be negative.
5+34+34+43+6734+456+45
Answers
Answer:7351
Step-by-step explanation:
Answer:
456566654
Step-by-step explanation: