5
What is the equation, in point-slope form, of the line that
is parallel to the given line and passes through the point
(-3, 1)?
4
3
2
(-3, 1)
42.27
1
5 4 3 2 1
2 3 4 5 x
y-1=-{(x+3)
y-1=-{(x + 3)
y-1= {(x + 3)
y-1= {(x + 3)
(-2, 4)
Answers
Answer: [tex]y-1=\dfrac32(x+3)[/tex]
Step-by-step explanation:
Slope of a line passes through (a,b) and (c,d) = [tex]\dfrac{d-b}{c-a}[/tex]
In graph(below) given line is passing through (-2,-4) and (2,2) .
Slope of the given line passing through (-2,-4) and (2,2) =[tex]\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}[/tex]
Since parallel lines have equal slope . That means slope of the required line would be .
Equation of a line passing through (a,b) and has slope m is given by :_
(y-b)=m(x-a)
Then, Equation of a line passing through(-3, 1) and has slope = is given by
[tex](y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)[/tex]
Required equation: [tex]y-1=\dfrac32(x+3)[/tex]
Related Questions
Solve this pair of simultaneous equations.
5x + 2y = 20
x + 4y = 13
X=
y=
Answers
Answer:
y= 2.5
x= 3
Step-by-step explanation:
multiply eqn 2 by 5
5x +20y =65
eqn 2 -1
20-2)y=65-20
18y=45
y=2.5
x+4×2.5 =13
x+10=13
x=3
x=3
there you go
PLEASE HELP ME !!!
given a function y = 5x² - 9x - 5
from the graph, determine the value of x when y = 0
Answers
Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
what are two ways of determining the distance between two points
Answers
Answer:
The linear distance between the two points is the square root of the sum of the squared values of the x-axis distance and the y-axis distance. To carry on the example: the distance between (3,2) and (7,8) is sqrt (52), or approximately 7.21 units.
Step-by-step explanation:
Answer:
Step-by-step explanation:
distance formula and pythagorean formula
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Find the distance between (0,3) and (0,-6).
A. 9
B. -9
C. -3
D. 0
Answers
one day shahed was playing with numbers.He wrote 15 fractions using all natural numbers from 1 to 30 exactly once-either as numerator or as denominator.How many of these fractions are most is integers.
Answers
Answer:
15
Step-by-step explanation:
half of 30 is 15
he used all the numbers upto 30 once
all the numbers in between arent integers but decimals
use determinants to find the area of the parallelogram shown below
Answers
Answer:
30
Step-by-step explanation:
To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use
[tex]\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right][/tex] and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get
[tex]\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right][/tex]. The determinant is equal to
[tex]-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30[/tex]
10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question
Answers
Answer:
Hello,
Step-by-step explanation:
The volume of the tank is V, p is number of pipes, t the time, k as constant.
V=k*p*t
V=k*10*16 ==> k=V/160
V=k*8*t
V=V/160*8*t ==>1=8/160*t ==> t=160/8=20
Time to use: 20 min.
simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)
Answers
Answer:
[tex]\huge \boxed{\mathrm{-1}}[/tex]
Step-by-step explanation:
[tex](5xe^2 - 3x) - (5xe^2 - 3x+1)[/tex]
Distribute negative sign.
[tex]5xe^2 - 3x- 5xe^2 +3x-1[/tex]
Combine like terms.
[tex]0xe^2 +0x-1[/tex]
[tex]0-1=-1[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $67,200
C. $68,000
D. 5,440
Answers
Answer:
Option A, $65,280Step-by-step explanation:The volume of the tank is,12×20×15+40×(50-15)×12= 3600+16800=20400 cubic metersFor each cubic meter, ... More
A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is the height of the ball at the top of bounce 6?
Answers
Answer:
89.1
Step-by-step explanation:
As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.
(If im wrong ill edit the answer.)
WikiTongues has
videos of 500 different
languages from around the
world. What percent of the
7,111 total languages
spoken globally
is represented on
WikiTongues?
Answers
Hey there! I'm happy to help!
We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.
500=7,111p
Let's flip the equation around so the p is on the left side. Variables are usually supposed to be on the left.
7,111p=500
We divide both sides by 7,111.
p=0.0703
As a percent, this is about 7.03%. Therefore, about 7.03% of the total languages spoken globally are represented on WikiTongues.
I hope that this helps! Have a wonderful day! :D
Answer:
7.03 %
Step-by-step explanation:
500 / 7,111 = 0.07031359865
0.07031359865 x 100 = 7.03 %
A car start from rest . If the acceleration of the car is 0.2m/s^2, what will be it's velocity at the end of 3 minutes?And what distance will it cover at that time?
Answers
Answer:
a=v-u÷t
0.2=v-0÷180
0.2×180=v
36=v
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answers
Answer:
x-3 is cancelled and just one remains in numerator.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 4x+4\leq9x+84x+4≤9x+8
Answers
Answer:
x ≥ -4/5
Step-by-step explanation:
Maybe you want to solve ...
4x+4 ≤ 9x +8
0 ≤ 5x +4 . . . . . subtract 4x+4
0 ≤ x +4/5 . . . . . divide by 5
-4/5 ≤ x . . . . . . . subtract 4/5
Answer:
x ≥−4/5
Step-by-step explanation:
How many solutions does the system have? y=-5x+1 y=1-5x
Answers
Answer:
infinite solutions
they're the same equation lmao
Answer:
Infinitely many solutions
because it is the correct answer
A man bought a car for 15000GH cedis . He later sold it at a profit of 25% .What was his selling price.
Answers
Answer:
3750 GH cedis
Step-by-step explanation:
Step-by-step explanation:
100%=15000GH cedis
125%=?
125×15000/100
18750GH cedis
A movie theater sells only two types of tickets: adult tickets for $20 each and student tickets for $12 each. One weekend, the theater sold 2,000 tickets for a total of $35,072. How many more adult tickets than student tickets were sold that weekend?
A) 768 B) 770 C) 772 D) 774
Answers
Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
Please help me with this problem....5 stars 1 thanks and depending on how you answer brainiest.
Answers
Answer:
[tex]\huge\boxed{Probability = \frac{1}{3} }[/tex]
Step-by-step explanation:
Total Magazines = 3
Woman's Day = 1
Probability = No. of Favorable Outcomes / Total no. of Outcomes
Probability = [tex]\frac{1}{3}[/tex]
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
There are three choices for Mrs. Stanton. One of the three choices is the Women's Day magazine. Thus, 1 out of 3, or 1/3 of the choices are Women's Day.
Hope it helps <3
At an elite baseball camp, 60% of players can bat both right-handed and left-handed. If 25% of the players who bat left-handed do not bat right-handed, what is the probability that a player selected at random does not bat left-handed?
Answers
Answer:
The probability that a player selected at random does not bat left-handed is 20%.
Step-by-step explanation:
Assume that there are a total of 100 baseball players at an elite baseball camp.
The information provided is:
60% of players can bat both right-handed and left-handed. 25% of the players who bat left-handed do not bat right-handed.That is, the number of players can bat both right-handed and left-handed is,
n (L and R) = 60.
Now, if 25% of the players who bat left-handed do not bat right-handed, then 75% of all left-handed players can also bat right-handed.
⇒ n (L and R) = n (L) × 75%
60 = n (L) × 0.75
n (L) = 60/0.75
n (L) = 80
So there are 80 left handed batters.
Compute the number of only left handed batters as follows:
n (Only L) = n (L) × 25%
= 80 × 0.25
= 20
So there are 20 only left handed batters.
Compute the number of only right handed batters as follows:
Total = n (Only L) + n (Only R) + n (L and R)
100 = 20 + n (Only R) + 60
n (Only R) = 20
Thus, the probability that a player selected at random does not bat left-handed is 20%.
what is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?
Answers
Answer:
-16, 0 real solutions. (Complex Roots)
Step-by-step explanation:
[tex]5x^2-2x=-1\\5x^2-2x+1\\A=5\\B=-2\\C=1\\(-b±√(b^2-4ac))/2a\\=\\=-2^2-4(5)(1)\\=4-20\\=-16[/tex]
i need help please i give 5 stars ;(
Answers
Answer:
D. [tex]\sqrt{\frac{2*2*2*2*3}{5*5*7} }[/tex]
Step-by-step explanation:
48 divided by 2 is 24. Insert the 2.
24 divided by 2 is 12. Insert the 2.
12 divided by 2 is 6. Insert the 2.
6 divided by 2 is 3. Insert the 2 and 3:
[tex]48=2*2*2*2*3[/tex]
175 divided by 5 is 35. Insert the 5.
35 divided by 5 is 7. Insert the 5 and 7:
[tex]175=5*5*7[/tex]
:Done
The city school district is considering increasing class size in the elementary schools. However, some members of the school board are concerned that larger classes may have a negative effect on student learning. In words, what would the null hypothesis say about the effect of class size on student learning?
Answers
Answer:
The null hypothesis would say that class size has no effect on students learning.
Step-by-step explanation:
Null hypothesis is a type of hypothesis that is used in statistics which proposes that there is no difference between a certain characteristic of a population or the data - generating process.
Now, in this question,the school district is considering increasing class size in the elementary schools but we want to check whether larger classes may have a negative effect on students learning.
Thus, the null hypothesis would reject this claim of larger classes having negative effect on students and say that class size has no effect on students learning.
The perimeter of a rectangle is 62 cm. The diagonal and width of the rectangle are 25 cm and x cm respectively.
Form a quadratic equation in terms of x based on the situation.
Answers
Step 1:
62cm - (25*2)=12cm
62-25=37cm
Length for both sides 25
Width=37cm=x
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
Answers
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
[tex]CI\ E(0.57,0.65)[/tex]
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E
Therefore Confidence interval is
[tex]CI=0.61 \pm 0.04[/tex]
And can also be written as
[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]
[tex]CI\ E(0.57,0.65)[/tex]
In conclusion the Confidence interval is
[tex]CI\ E(0.57,0.65)[/tex]
For more information on this visit
https://brainly.com/question/24131141?referrer=searchResults
8. PLEASE HELPP!! Find the area of the shaded sector. Leave your answer in terms of .
Answers
Answer:
Area of a complete circle = PI * r^2
The shaded area is 1/3 of the circle so
Area = (PI * 9^2) / 3
Area = (254.4690049408) / 3
Area = 84.8230016469
Area = 84.82 square feet (rounded)
Step-by-step explanation:
On a number line if point A lies -3 and point B lies on 4, what is the length of AB
Answers
Answer:
7
Step-by-step explanation:
4-(-3)=
4+3=
7
Answer:
7
Step-by-step explanation: take the absolute value of both numbers and add them together so -3 becomes 3 and 4 stays the same they add up to 7.
The sum of two numbers is 71648.one of the number is 7 times the other.find the numbers
Answers
Answer
8956
explanation step by step
Answer: numbers are 8956 and 62692
Step-by-step explanation:
Let the numbers be x and 7x
ATQ
x + 7x = 71648
8x = 71648
x = 71648/8
x = 8956
Therefore the numbers are 8956 and 62692 respectively
please click thanks and mark brainliest if you like :)
what is the value of x
Answers
Answer:
-10
Step-by-step explanation:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.
hi! i need to know the cube root of minus one!! just let me know down there!
Answers
Answer:
[tex]\large \boxed{\mathrm{-1}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{-1}[/tex]
Apply radical rule:
[tex]\sqrt[n]{-1}=-1[/tex]
If [tex]n[/tex] is odd.
[tex]\sqrt[3]{-1}=-1[/tex]
Pls help ———————————-
Answers
Area of square 1 = 84
Step-by-step explanation:
a^2 + b^2 = c^2
√48^2 + 6^2 = c^2
48 + 36 = 84
area of square 1 = 84
The side of square 2 is 48/4 = 12 so the area = 12x22 = 144
Using Pythagoras the area of square 3 = 144 + 81 = 225 sq.units
You are not asked for the side of square 3 but it is 15 units