Answers
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]
2) (3 , -4) ; m= 3
[tex]y - y_{1} = m(x - x_{1}[/tex])
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]
[tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
x
2
−x
1
y
2
−y
1
\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}
=
3−[−6]
−5−2
=
3+6
−5−2
=
9
−7
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
Related Questions
Mickey owns 3/4 of an acre of land. He wants to sell 1/3 of his land to Minnie. What fraction of an acre does Mickey want to sell?
(Please Help Me)
Answers
Answer:
1/4
Step-by-step explanation:
broken up, 3/4 is 1/4+1/4+1/4, take one of the 3 away, and the one you take away is 1/4.
in figure ABCD IS A PARALLELOGRAM, find angle c
Answers
Answer:
in a parallelogram the consecutive angles are equal to 180
ange C = 180-110 = 70
Step-by-step explanation:
the answer explanation
180-110=70
integration sin2Xdx
Answers
Answer:
[tex] - \frac{ 1}{2} \cos(2x) + c[/tex]
A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 years. He mails a questionnaire on this subject to a SRS of 1600 voters in his state. His staff reports that 325 questionnaires have been returned, of these 241 respondents feel the Democratic Party is best qualified to lead the country over the next 10 years.
1. The sample is:__________
A. the voters in his state
B. the 325 questionnaires returned
C. the 241 voters who feel the Democratic Party is best qulified
D. the 1600 voters receiving the questionnaire
2. This is an example of:___________
A. a survey containing nonresponse
B. a survey with little bias because a large SRS was used
C. a survey with little bias since the voters know what they want.
D. All of the above
Answers
Answer:
1. B
2. C
Step-by-step explanation:
1. B
The sample of any set would be smaller version of a larger group. It is often a subset that contains some or all the characteristics of the main set, or the larger general population. The usage of samples comes into play in statistics when the population sizes of interest are too large for the test to contain all the needed members for it to take place. So, from this question, the sample size is the 325 questionnaires that were returned in the first place.
2. C
I thin the answer is survey with little bias since the voters know what they want. This is because while answering the survey, the voters know who they want to vote for upfront, and didn't need to gave their mind change by anyone on the survey.
The area of a rectangle is 84cm² and its breadth is 12 cm. Find its length and perimeter.
Answers
Step-by-step explanation:
A=84
b=12
l=?(l)
A=l×b
84=l×12
84/12=l
7=l
perimeter=2(l×b)
=2(7×12)
=168
what fractions are greater than 11/20
a- 3/4
b - 3/10
c - 4/5
d - 1/2
Answers
Answer:
3/4 and 4/5
I hope this helps :)
3
Ms. Crawford gave the same amount of plant food to each of 5 plants. She used-pound of plant food in all. How much plant food did she give to each plant?
Answers
Because there is five divided equally
this is really difficult
Answers
Answer:
x=32
Step-by-step explanation:
Since all angles in a triangle add up to 180, set 2x+x+2x+20=180. Then solve for x, and you'll get 32. Hope this helped!
how many times does 1/7 go into 3
Answers
Answer:
21
Step-by-step explanation:
1/7 x 7 = 1
x3 = 3
so 7x3 =21
please help! stuck on this question
Answers
Answer:
Center (h,k) = (4,7) and radius r = 7
Step-by-step explanation:
Explanation
Given that the equation of the circle
( x-4)² + (y-7)² = 49
( x-4)² + (y-7)² = 7²
Comparing the standard circle equation
(x-h)²+(y-k)² = r²
Center (h,k) = (4,7) and radius r = 7
Read and solve.
1. Mark's car consumes 11,220 liters of gasoline in a week. How
many liters of gasoline can the car consume in 10 weeks?
Number sentence:
Answer:
Answers
You would have to use multiplication to do this problem.
The number setence would be : 11,220 x 10
The answer would be: 112,200
The school store sells pencils for $0.30 each, shirts for $14.50 each, and notebooks for $3.20 each.
a. The cost of 4 pencils, 1 shirt, and 3 notebooks is?
b. Sarah brought $10 to the store. She bought 2 notebooks and 3 pencils. How much money does she have left? $
Answers
the correct answer is $3.70
Answer:
a. 0.3p +14.5s +3.2n (the expression for the given story)
0.3(4) + 14.5 (1) + 3.2(3) (plug in the given values, and multiply)
1.2 + 14.5 + 9.6 (add)
15.7 +9.6
$25.30 (how much it costs)
b. 0.3p + 3.2n (expression for part b)
0.3(3) + 3.2(2) (plug in the given values and multiply)
0.9 + 6.4 (add)
7.3 (how much what she bought cost)
10 - 7.3= 2.7 (how much she brought, with how much she bought subtracted)
$2.70 left (this is how much she has left)
Step-by-step explanation:
I hope this helped :)
5/6 = 10/ W+3 solve for W
Answers
Answer:
[tex]\huge\boxed{w=9}[/tex]
Step-by-step explanation:
In order to solve for w here, let's write the proportion.
[tex]\frac{5}{6} = \frac{10}{w+3}[/tex]
To solve for w, we need to get it isolated on one side of the equation. To do this, we can first multiply both sides by 6 and w+3 in order to get rid of the denominators.
[tex]\frac{5}{6} \cdot 6 \cdot w+3 = \frac{10}{w+3} \cdot (w+3) \cdot6[/tex] [tex]5(w+3) = 60[/tex] [tex]5w+15 = 60[/tex] [tex]5w = 45[/tex] [tex]w = 9[/tex]Therefore, w=9.
Hope this helped!
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Answers
The solution of the equation will be x = - 11/2 ± 5√5/ 2. Then the correct option is D.
What is the solution of the quadratic equation by formula method?The quadratic equation is given as ax² + bx + c = 0.
Then the solution is given as
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic equation is given below.
x² + 11x + 121/4 = 125/4
x² + 11x + – 1 = 0
Comparing with the standard equation, we have
a = 1, b = 11, and c = –1
Then the roots of the equation will be
[tex]\rm x = \dfrac{-11\pm \sqrt{11^2 - 4*1*(-1)}}{2*1}\\\\\\\rm x = \dfrac{-11 \pm \sqrt{121 +4}}{2}\\\\\\\rm x = \dfrac{-11\pm \sqrt{125}}{2}\\\\\\x = \dfrac{-11}{2}\pm \dfrac{5\sqrt{5}}{2}[/tex]
Then the correct option is D.
More about the solution of the quadratic equation link is given below.
https://brainly.com/question/17376136
#SPJ5
Answer: C
Step-by-step explanation:
\begin{aligned} &y=-8x -3 \\\\ &x+y=7 \end{aligned}
y=−8x−3
x+y=7
Answers
Answer:
just download conects
Step-by-step explanation:
Write the income equation for a small business that begins with $150 and grows by 20% each year. When wil the company's income income be $300?
Answers
Answer:
f(x)=150+30x
150+30x=300
30x=150
x=5
after 5 years
Find the value of x 6 5
Answers
Answer:
√66
Step-by-step explanation:
From the Euclidean theorem x^2 = 6 × 11
x^2 = 66
x = √66
what part of the expression is a term a.5 b.+ c.6x+ 5 d. x
Answers
PLEASE MARK BRAINLIEST!
Answer:
If I am not mistaken, the equation is:
6x + 5
So the terms are:
6x 5The coefficient is:
6The variable is:
xThe constant is:
5I hope this helps! Your question was a bit unclear...
- sincerelynini
In the following scenario, which is the most important criteria in evaluating the technological device?
A parent needs a computer that can hold family photos.
Connectivity
Size
Speed
Storage
Answers
Answer:
storage
Step-by-step explanation:
Answer:
Storage
Step-by-step explanation:
If a circle has a diameter of 24 inches, which expression gives its area in
square inches?
O A. 12.
O B. 242.17
O C. 24. 1
O D. 122.77
Answers
Answer:
D. 12²•π
Step-by-step explanation:
Area of a circle = πr²
Radius (r) = ½ of diameter = ½*24 = 12 inches
Plug in the value into the area
Area = π * (12)²
Area = π * 12²
Area = 12²•π
jeff Ran 2 miles in 16 minutes. juchan ran
Answers
Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help phillip estamate the tip on a $36.00 bill correctly?
A. $3.60 + $3.60 = $7.20
B. $3.60 + $1.80 = $5.40
C. $3.60 + $0.36 = $3.96
D. $1.80 + $1.80 = $3.60
Answers
Answer:
u see I did this add all the answer together to get the answer
Answer:
A
Step-by-step explanation:
Highest to lowest -0.6,0.38, -0.09, 0.7
Answers
Answer:
0.7, 0.38, -0.6, and -0.09
Step-by-step explanation:
Hey there!
Guide:
• NEGATIVES are BELOW zero
• POSITIVES are ABOVE zero
• DECIMALS are BELOW zero
Highest to lowest: –0.6, 0.38, –0.09, 0.7
0.7 ⬅️ HIGHEST
0.38 ⬅️ 2nd HIGHEST
–0.09 3rd HIGHEST ⬅️
–0.6 ⬅️ LOWEST
Answer: 0.7 , 0.38, –0.09, and –0.6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
simplify 5(6k+3+7k+3y)
Answers
Answer:
65k+15+15y
Step-by-step explanation:
distribute the 5
30k+15+35k+15y
add all like terms
65k+15+15y
Answer:
65k+15y+15
Step-by-step explanation:
Add 6k and 7k.5(13k+3+3y)
Apply the distributive property.
5(13k)+5⋅3+5(3y)
Simplify.
65k+15+15y
Move 15.
65k+15y+15
Use compatible numbers to estimate the quotient.674.8 ÷ 23
Answers
Answer:
~30
Step-by-step explanation:
By using division, the answer is 29.34. If the question is asking to estimate, I would estimate the quotient as 30.
Krutika was thinking of a number. Krutika doubles it, then adds 19 to get an answer of 65. What was the original number?
Answers
Step-by-step explanation:
2x+19=65
2x+19-65
2x-46
2x=46
x=46/2
x=23
so the number is 23
combine like terms 5x - 7y + 2x + 10y + 4
Answers
Answer:
7x+3y+4Step-by-step explanation:
What is 2 times as much as 3?
Answers
Answer:
6
Step-by-step explanation:
its basically 2 x 3 which = 6
hope this helped :D
Over the next 17 months you have to read at least 68 books. You have to read x books per month.
The inequality 17x2 68 represents this situation. Solve the inequality to find the number of books
you have to read per month.
Answers
Answer:
You have to read 4 or more books per month.
Step-by-step explanation:
Given that:
Number of months to read the books = 17 months
Number of books to read = 68 at least
Number of books per month = x
The inequality for the situation is;
[tex]17x\geq 68[/tex]
Dividing both sides by 17
[tex]\frac{17x}{17}\geq \frac{68}{17}[/tex]
x ≥ 4
Hence,
You have to read 4 or more books per month.
A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Express the velocity vector v in terms of i and j.
Answers
Answer:
The speed of the ball in terms of i and j is (15.76 i, 6.37 j)
Step-by-step explanation:
Given;
velocity of the ball, v = 17 mph
angle of inclination, θ = 22⁰
The horizontal component of the velocity is calculated as;
[tex]V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i[/tex]
The vertical component of the velocity is calculated as;
[tex]V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j[/tex]
Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)