What equation is graphed in this figure?
y - 4 = -⅓(x+2)
y - 3 = ⅓ (x+1)
y + 2 = -3(x – 1)
y - 5 = 3(x - 1)
Answers
to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})[/tex]
keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.
Related Questions
If Emily walks to school at 3 miles per hour, the walk takes 20 minutes. If she rides her bike to school at 5 miles per hour, how long will the trip take her?
Answers
Answer:
40 minutes
Step-by-step explanation:
I think this is the correct answer
I hope I helped you
sorry if I got it wrong btw
Solve using the Elimination Method
x - 2y = 4
3x + 4y = 2
Answers
Answer: x=2, y=-1
Step-by-step explanation:
Step 1) Make both equations have the same coefficient
What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.
[tex](2)x - (2)2y = (2)4\\2x-4y=8[/tex]
Step 2) Add the equations together to eliminate y
[tex]2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10[/tex]
Step 3) Solve for x
[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]
Step 4) Sub the value of x into an equation and solve for y
[tex]x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1[/tex]
If a polynomial function f(x) has the zeros -3, 1, 2 i and -2i, write a
polynomial function in standard form. SHOW ALL WORK
Answers
Answer:1
1
Step-by-step explanation:1
what is the area of a 14cm square?
Answers
Answer:
196
Step-by-step explanation:
the area of a square is simple its just a=length time width, so you just plug in youre length which is 14 and a square side are all the same size so the width is also 14, so your equation is a=14 times 14= 196. ;) hope that helped.
Please help me I’ve asked this questions several times and I really need help with this I do not understand it at all
Answers
Answer:
(-5,-2)
(-4,-3)
(-6,-1)
Step-by-step explanation:
-5(x)-2(y)=-7
-4(x)-3(y)=-7
-6(x)-1(y)=-7
3 cm
Find the surface area of the above solid.
O A. 56 cm2
• B. 40 cm2
• C. 48 cm2
D. 36 cm2
Help quickly please
Answers
area is 36...............
A, B & C form a triangle where Z BAC = 90°.
AB = 4.2 mm and CA = 1.5 mm.
Find the length of BC, giving your answer rounded to 1
DP.
mm
BC =
Answers
Answer:
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
A, B, C, ZBAC=90°
AB=4.2mm
CA=1.5mm,
DP
mm
BC
hope this helps
Answer:
BC = 4.5 (1 dp)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AC = 1.5b = AB = 4.2c = BCSubstituting these into the formula and solving for BC:
[tex]\implies 1.5^2+4.2^2=BC^2[/tex]
[tex]\implies 2.25+17.64=BC^2[/tex]
[tex]\implies BC^2=19.89[/tex]
[tex]\implies BC=\pm\sqrt{19.89}[/tex]
As distance is positive,
⇒ BC = 4.5 (1 dp)
Find the surface area and volume, GIVING BRAINLY
Answers
1040.91 mm^2
[tex]\bold{EXPLANATIONS:}[/tex]
Is a triangle with the side lengths 4 feet, 7. 5 feet, and 8. 5 feet a right triangle? Why or why not?
Answers
Answer:
Yes
Step-by-step explanation:
You can test if a triangle is right-angled by using Pythagoras' Theorem.
So:
[tex]4^2 + 7.5^2 = 8.5^2[/tex]
16 + 56.25 = 72.25
They do in fact add up so this triangle is right angled.
Bryan and Jadyn had barbecue potato chips and soda at a football party. Bryan ate 5oz of chips and drank 1 cup of soda for a total of 650mg of sodium. Jadyn ate 1oz of chips and drank 5 cups of soda for a total of 250mg of sodium. How much sodium is in 1oz of chips and how much is in 1 cup of soda?
Answers
Answer:190 mg of sodium in 1 oz of chips and 40 mg for 1 cup soda.
Step-by-step explanation:
What’s the lowest number that could be used in the numerator to make the comparison ?/5>1/4 true.
Answers
Answer:
2
Step-by-step explanation:
If there is a lower number, please show me as I only see 2/5 as the lowest answer (not including a fraction of a fraction.
Answer:
2/5
Step-by-step explanation:
Math 50 points Please Help
Answers
Answer:
Step 3
Step-by-step explanation:
-4(3)(-1)
Will be equal to a positive 12
The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
Answers
The true statements for the parabola in the image are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.Option D.How to determine the equation of the directrix?Mathematically, the standard equation of the directrix lines for a parabola is given by y = a(x - h)² + 2.
Given the following data:
Vertex (h, k) = (4, 3).
Point (x, y) = (8, 6).
Next, we would determine the distance where point (8, 6) lies on the parabola:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the true statements regarding the parabola in the image are:
The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
#SPJ1
The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480
Answers
It would be true if it said (4576 * 2480) + 3 is 3 more
But this is actually ~13728 more
This due to the fact that the 3 is also being multiplied by 4576
number story for 4 divided by 1/8
Answers
Answer:
32
Step-by-step explanation:
4 ÷ 1/8
4/1 · 8/1 = 32/1
32
I hope this helps & God bless!
A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet
seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use
a simple random sample to select them. Which of the following statements is true?
She needs to select the 10 biggest plants to test the new fertilizer.
She needs to select the 10 smallest plants to test the new fertilizer.
She needs to number each plant 1-60 and randomly select 10 plants.
She needs to put the plants in 6 groups of 10 and randomly select 1 of the groups.
Answers
Answer:
1 - 60
Step-by-step explanation:
She needs to number each plant 1-60 and randomly select 10 plants.
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answers
Step-by-step explanation:
the law of sine
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and associated angles are always opposite to each other.
and the sum of all angles in a triangle are always 180°.
sin(90) = 1.
4.
there are multiple solutions, as the direction they are going has no relevance to their position to each other right now.
and the angles of depression can be forward or backwards of the plane.
the larger the angle of depression, the closer the ship is.
for the closer ship we get
height/sin(35) = ground distance / sin(180-90-35)
265/sin(35) = ground distance / sin(55)
ground distance (plane to closer ship) =
= 265×sin(55)/sin(35) = 378.4592218... m
for the farther ship we get
height/sin(25) = ground distance / sin(180-90-25)
265/sin(25) = ground distance / sin(65)
ground distance (plane to closer ship) =
= 265×sin(65)/sin(25) = 568.2943339... m
the distance of both ships is
568.2943339... - 378.4592218... = 189.8351121... m
now, this distance applies to the case, where both ships are on the same side of the plane.
if they are on different sides of the plane, then we need to add their individual distances from the plane to get the distance of both ships from each other :
568.2943339... + 378.4592218... = 946.7535557... m
5.
another right-angled triangle.
the string is the Hypotenuse (baseline).
the height and the ground distance are the legs.
so, we get
100/sin(90) = height/sin(52) = 100
= ground distance / sin(180-90-52)
height = 100×sin(52) = 78.80107536... m
ground distance = 100×sin(38) = 61.56614753... m
pls help.
im rlly struggling
question: what are the coordinates of the vertices of the image?
Answers
Answer:
See below
Step-by-step explanation:
(x,y ) will transform to ( y, -x)
so all of the coordinates will be (clockwise from top left)
5,-2 5,-4 4,-4 4,-3 2,-3 2,- 2
please help me find the same denominator
Answers
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
let us first start with some basic information ~
A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,
x is the numerator and y is the denominator !
the question asks us to do something that will help us get same denominator for both the terms !
so let's see what we should do in such a case ~
[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]
and we're done !
let's add some more info to be lil more clear ~
while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !
hope helpful :D
Answer:
Step-by-step explanation:
you have to multiply first fraction with '8' and second fraction with '10' :
the fractions will become 72/80 and 70/80 then you can compare it
Given circle E with diameter CD and radius EA. AB is tangent to Eat A.
If AD = 14 and CD = 26, solve for AC. Round your answer to the nearest
tenth if necessary. If the answer.cannot be determined, click "Cannot be
determined."
Answers
The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet
Application of pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the square of the other two sides
Given the following
Hypotenuse = 26 feet = CD
Base side = AD = 14ft
Required
Length AC
Use the theorem
26^2 = 14^2 + AC^2
AC^2 = 676 - 196
AC^2 = 480
AC = 21.9feet
Hence the length of AC from the diagram is 21.9feet
Learn more on pythagoras theorem here: https://brainly.com/question/343682
Answer:
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If
CD = 8, solve for AD. Round your answer to the nearest tenth if necessary. If the
answer cannot be determined, click "Cannot be determined.
Step-by-step explanation:
Ms. Upton spends a total of $42 for 3 sweaters for her children. Each sweater costs the same amount. How much does each sweater cost?
Which equation can be used to find the answer?
Group of answer choices
42 + S= 3
S= 423
S=42*3
S-42=3
Answers
Answer:
The answer would be $14 a sweater.
And S=42*3 (If * is a divide by sign)
Step-by-step explanation:
Step 1. Find the equation. If $42 is total then we know to to divide that number by three getting the equation S=42*3.
Step 2. Do the math. 42 divided by 3 is 14, meaning 14 dollars per sweater.
I hope this helps! :)
find the range Q1 and Q3 for the set of values, 36,36,48,65,75,82,92,101
Answers
Suppose a town has a population of 5,000 residents but that the population is decreasing by 200 people each year. Write a linear function to represent the population of the town in terms of the numbers of years. After how many years will the town have a population of 1,800? When will the town have only 400 residents?
Answers
Answer:
it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.
Step-by-step explanation:
population: 5000
population decreasing: 200x
y=5000-200x
(1800-5000)/-200
(400-5000)/-200
Is the following a statistical question?
How much do new cars cost?
yes
no
Answers
Answer:
i think it is "yes"
Step-by-step explanation:
hope this helps you!
Answer:
The answer is yes.
Step-by-step explanation:
Statistical questions mean there are different responses. and not just one simple answer.
Given that a student is in 10th grade, what is the probability that the student is also not involved in after-school activities? 0.43 0.45 0.55 0.57
Answers
Answer:D
Step-by-step explanation:
The diagram shows a prisim
Draw the front elevation and the side elevation of the prism on the grids.
use a scale of 2 squares to 1m
Answers
Then just four by one square on second row down(side elevation)
ou earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%). Your housing and fixed expenses are 30% of your realized income per month. You want to save 5 months' worth in an emergency fund within a year. How much do you need to save per month to fund the emergency fund?
Answers
Step-by-step explanation:
MARK A BRAINLESS THIS ANSWER IS CORRECT
WILL GIVE BRAINLIEST
Answers
Distance formula: distance = sqrt((x2-x1)^2 + (y2-y1)^2)
distance = sqrt((-2 - -9)^2 + (-2 - -6)^2)
Distance = sqrt( 7^2 + 4^2)
Distance = sqrt(49+ 16)
Distance = sqrt(65)
Answer is c. Sqrt(65)
Answer: the answer is c which square root 65
Step-by-step explanation: hope it is correct .
formular for area of a circle
Answers
Answer:
Tr2
Step-by-step explanation:
pie * radius * radius
Answer:
πr²Step-by-step explanation:
The circumference of a circle is given to be 2πr, and its radius to be r.
Area = 1/2 x circumference x radiusArea = 1/2 x 2πr x rArea = πr²Use the drop-down menus to correctly relate each pair of number using <>=
0.62 _0.062
0.62 _ 0.620
0.725 _0.75
0.65 _0.091
Answers
2. 0.62 = 0.620
3. 0.725 < 0.75
4. 0.65 > 0.091