Answers
Answer:
[tex]y=-5(x+2)-1[/tex]
[tex]y=-5(x+3)+4[/tex]
Step-by-step explanation:
Two points on the line are (-3, 4) and (-2, -1)
Therefore:
[tex]\textsf{let}\:(x_1,y_1)=(-3,4)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-2,-1)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{-2-(-3)}=-5[/tex]
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
Substituting point (-3, 4) in the point-slope equation:
[tex]\implies y-4=-5(x-(-3))[/tex]
[tex]\implies y=-5(x+3)+4[/tex]
Substituting point (-2, -1) in the point-slope equation:
[tex]\implies y-(-1)=-5(x-(-2))[/tex]
[tex]\implies y=-5(x+2)-1[/tex]
Related Questions
In Morton’s class of 20, 4 Students report that social studies as their favorite class And 70% of the students report that PE is their favorite class, Show your work To explain how do determine whether more students prefer social studies or PE
Answers
Answer:
More students prefer PE.
Step-by-step explanation:
20 × 70% = 14
14 > 4
14 students prefer PE
4 prefer social studies
OR
4 ÷ 20 = 0.2
0.2 = 20%
70% > 20%
70% of the students prefer PE
20% of the students prefer social studies
The function f(t)=6500(1.85)^{365t}f(t)=6500(1.85)
365t represents the change in a quantity over t years. What does the constant 1.85 reveal about the rate of change of the quantity?
Answers
Answer:
The function is *growing* exponentially at a rate of *0.85%* every *year*
Step-by-step explanation:
Solve the system of equations: 4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answers
Answer:
[tex](\frac{16}{3},- \frac{1}{9} )[/tex] or [tex]x=\frac{16}{3}, y=- \frac{1}{9}[/tex]
Step-by-step explanation:
Hello again!
We are given these two systems:
4x+1=5(x-3y)-6
3(x+6y)+4=9y+19
And we want to solve them for x and y.
First, let's do the distributive property to expand out what is in the parentheses.
4x+1=5(x-3y)-6 --> 4x+1=5x-15y-6
Now simplify 4x+1=5x-15y-6
Subtract 5x from both sides
4x+1=5x-15y-6
-5x -5x
__________
-x+1=-15y-6
Now add 15y to both sides
-x+1=-15y-6
+15y +15y
___________
-x+15y+1=-6
Subtract 1 from both sides
-x+15y=-7
Now for 3(x+6y)+4=9y+19:
3x + 18y + 4 = 9y + 19
Subtract 9y from both sides
3x + 9y + 4 = 19
Subtract 4 from both sides
3x + 9y = 15
Here is our system now:
-x+15y=-7
3x+9y=15
On 3x+9y=15, because all of the values are multiples of 3, we can actually divide it by 3.
3x+9y=15
÷3 ÷3
x + 3y = 5
So here it is again:
-x+15y=-7
x+3y=5
These equations can actually be solved using elimination! We will be adding these equations together to clear out a variable, solve for the uncleared variable, and then use the value of the uncleared variable to find the value of the cleared variable
So, add -x+15y=-7 and x+3y=5 together.
-x+15y=-7
+
x+3y=5
_____
18y=-2
Divide both sides by 18
y=[tex]-\frac{1}{9}[/tex]
Now substitute -1/9 as y into either -x+15y=7 or x+3y=5
Taking x+3y=5 for example,
x+3(-1/9)=5
multiply
x-1/3+5
Add 1/3 to both sides
x=5+1/3=16/3
So the answer is [tex]x=\frac{16}{3} , y=-\frac{1}{9}[/tex], or as a point, [tex](\frac{16}{3},- \frac{1}{9} )[/tex]
Hope this helps!
Can somebody help me?
(2, 9) is the solution of the system of equations.
y = x + 7
y = 2x + 5
true or false
Answers
Answer:
True! Since if you replace x and y with 2 and 9, you will get 9 = 2 + 7 or 9 = 2 x 2 + 5 which makes the equation true.
Answer:
Yes it's TRUE that ( 2 , 9 ) is the solution of given equations .Step-by-step explanation:
In the question it is given that whether ( 2 , 9 ) is solution of system of equations that are y = x + 7 and y = 2x + 5 .
And we have to tell that it is true or false.
Solution : -
As in the question we're provided with ( 2 , 9 ) . So , Here :
Value of x is 2Value of y is 9( 1 )
[tex] \longmapsto \qquad \:y = x + 7[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2 + 7[/tex]
[tex] \longmapsto \qquad \: \boxed{\bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = x + 7 .( 2 )
[tex] \longmapsto \qquad \: y = 2x + 5[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2(2) + 5[/tex]
[tex] \longmapsto \qquad \: 9 = 4 + 5[/tex]
[tex] \longmapsto \qquad \: \boxed{ \bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = 2(x) + 5 .#Keep Learning10. A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the
female in the household rather than the male in the household. A coupon book was sent at
random to either the male or female in a random sample of 50 male-female households. A
month later, a coupon book was sent to the other member of the pair. The manufacturer found
that the mean difference (female-male) in the number of coupons redeemed was 1.5 with a
standard deviation of 4.75.
Do these data provide convincing evidence that the mean number of coupons redeemed is
greater when the coupons were addressed to a female? Use a = 0.01.
а
Answers
Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:
[tex]H_1: \mu > 0[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the parameters are given as follows:
[tex]\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}[/tex]
t = 2.23
What is the conclusion?Considering a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01 and 50 - 1 = 49 df, the critical value is given by [tex]t^{\ast} = 2.4[/tex].
Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
More can be learned about the t-distribution at https://brainly.com/question/26454209
A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must be added for the mixture to become $60\%$ vinegar and $40\%$ water
Answers
Answer:
5 gallons of water must be added.
10 gallons to start with
adding 'x' gallons of water final volume = 10 + x
.9 (10) = amount of vinegar
.1(10) = amount of water
amount of vinegar before and after water addition is constant
.9(10) = .6(10+x)
9 = 6 + .6x
3 = .6x
x = 5 gallons of water to be added
(i truly hope i helped you
Arrange the given polynomial in descending order.
3x+7x +1
Answers
Answer:
10x + 1
Step-by-step explanation:
First, combine any like terms. Then make sure to rewrite in descending order.
3x + 7x + 1 <== combine any like terms
10x + 1 <== arrange in descending order
Hope this helps!
help again pls✊ pls and ty
Answers
Answer:
The linear relationship between the length of someone's femur and their expected height..
if x= -2 and y= -3 then what is x^3y^2
Answers
Answer:
The answer is 72.
Step-by-step explanation:
If x=-2 and y=-3 then what is x^3y^2.
Plug them into that equation.
(-2)^3 * (-3)^2
Expand the power.
(-2*-2*-2)*(-3*-3)
(-8)*(9)
72
Answer:
72
Step-by-step explanation:
Find the total surface area of the cylinder shown. Leave the answer in terms of π.
A cylinder with radius 7 centimeters and height 10 centimeters. SA=2πrh+2πr2
Answers
Answer:
TSA of a cylinder = 2*pi*r(r+h)
Pi=22/7
TSA=2*22/7*7(7+10)
TSA=748 sq.cm
Step-by-step explanation:
The surface area of the given cylinder is 238π square centimeters
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a cylinder with radius 7 centimeters and height 10 centimeters.
r = 7 cm
h = 10 cm
Surface area formula is 2πrh+2πr²
SA=2π×7×10 + 2π(7)²
=140π + 98π
=238π
Hence, the surface area of the given cylinder is 238π square centimeters
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
5 kids found $4. How much will each kid get if they share equally?
Answers
Answer:
$0.80
Step-by-step explanation:
We have to divide 4 by 5, because we are splitting the money equally among the 5 kids.
4 ÷ 5 = 0.8
Therefore, each kid gets $0.80
I hope this helps and please mark me as brainliest!
Answer:
0.80 cents
please make this answer brainliest If I helped you!
Step-by-step explanation:
each will get 0.80 cents because 0.80 times the 5 of them equally will equal 4 full $dollars
What is the simplest form of (5x+2)(5x-2)
Answers
Answer:
Step-by-step explanation:
create a real life scenario that could be modeled by the equation: y = 50 + 25x
Answers
Maybe something money-wise.
Jenny's subscription requires a 50$ desposit, as well as a monthly fee of 25$. How much will she have paid after x months?
A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
What is linear equation?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.
Real life scenario for the given two variable equation : y = 50 + 25x
Thus, A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
Learn more about Linear Equation from:
https://brainly.com/question/11897796
#SPJ2
2x + 3y = 19 3x - 5y = -19 Whats the solution
Answers
Answer:
SSimplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.tep-by-step explanation:
Simplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
2x + -3y + 3y = 19 + 3y
Combine like terms: -3y + 3y = 0
2x + 0 = 19 + 3y
2x = 19 + 3y
Divide each side by '2'.
x = 9.5 + 1.5y
Simplifying
x = 9.5 + 1.5y
What is the surface area of the prism?
Answers
520 m²
Here given:
length: 10 m
width: 8 m
height: 10 m
surface area of rectangular prism:
2(lw+hw+hl)
2(10*8+10*8+10*10)
2(80+80+100)
2(260)
520 m²
Answer:
Surface Area = 520 m² ( Option C is correct )Step-by-step explanation:
In this question we are given a rectangular prism which having :
Length = 10 mWidth = 8 mHeight = 10 mAnd we are asking to find the surface area of prism . We know that ,
[tex] \blue{ \underline{ \boxed{ \sf{Surface \: Area_{(Rectangular \: Prism)} =2(lw + wh + hl )}}}}[/tex]
Where ,
l = Length of prismw = Width of prismh = Height of prismSolution : -
Now solving by substituting value of length, width and height in the formula . So ,
[tex] \longmapsto \quad \: 2( (10 \times 8 )+ (8 \times 10) + (10 \times 10))[/tex]
[tex] \longmapsto \quad \:2(80 + 80 + 100)[/tex]
[tex] \longmapsto \quad \:2(160 + 100)[/tex]
[tex] \longmapsto \quad \:2(260)[/tex]
[tex] \longmapsto \quad \: \underline{\boxed{\frak{520 \: m {}^{2} }}}[/tex]✦
Henceforth, surface area of given prism is 520 square metres which means option C is the correct answer .#Keep LeaningCan someone help me with this, please?
Answers
Answer:
P(pink) = 0.225
Step-by-step explanation:
We should ignore the spinner picture because it is a trick!
We need to use the data provided in the table
We need to find the probabilty of getting pink out of all the colors:
[tex]\frac{pink}{purple\ +\ pink\ +\ yellow\ +\ blue} = \frac{9}{12\ +\ 6\ +\ 9\ +\ 13}\\ = \frac{9}{40} = 0.225\ \ (22.5\%)[/tex]
We use the probability notation:
P(pink) = 0.225
How do you solve this math problem?
Answers
Answer: 34.8
Step-by-step explanation:
How to find the volume of a trapezoidal prism calculator?.
Answers
We give brain list if you help solve this
Answers
Answer: 28 inches
Step by step explaination:
First: You do inches over feet- In/Ft
Second: you do 4/60=x/420
Next: You do 60x=1680
60 60
Last- Your answer is 28 inches if you divide 1680 and 60.
Did this help you?
Answer:
[tex]\huge\boxed{\sf 28\ inches}[/tex]
Step-by-step explanation:
Given that:
Height of the building = 420 feet
According to the scale,
4 inches = 60 feet
×7 ×7 [Multiplying 7 to both sides]
28 inches = 420 feet
So, Height of scale model in inches is 28 inches.
[tex]\rule[225]{225}{2}[/tex]
A self-selecting sample is Group of answer choices a good indicator of sample quality. not likely to be biased. guaranteed to be representative. not likely to be representative.
Answers
A self-selecting sample is not likely to be representative. The reason why a self-selecting sample is not likely representative would be discussed below.
What is self-selecting sample?A self-selection sample is determined by the individual that are used as data for the research. They are the ones that will determine the inclusion or exclusion of the sample units by either affirming or declining to participate.
The reason self-selecting sample is not likely to be representative is that it is too bias as the individuals that volunteered may not be able to satisfy the goals of the research.
Therefore, a self-selecting sample is not likely to be representative.
Learn more about research here:
https://brainly.com/question/26436072
Can someone please help me with my math without giving the answer?
Answers
Answer:
what do you need help with? i will gladly help :>
Step-by-step explanation:
Ally~
What is 0540 - 0360 Military time?
Answers
Answer:
thats 5:40 am in normal time
Step-by-step explanation:
What is the answer? Thank you, :)
Answers
if each friend wants 400 milliliters, and there are ten friends, samantha needs 4000 milliliters of lemonade
since each pitcher can hold 2 liters, or 2000 milliliters, she’ll need to refill it 2 times
this is because 4000/2000 is 2
final answer: 2 times
hope this helped!!
A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
Answers
Answer:
yes it is The answer is C
Step-by-step explanation:
A waiter earns $128 for 6 hours
of work. The total included $86 in
tips. How much does the waiter
earn each hour?
with an equation
Answers
Answer:
$21.33
Step-by-step explanation:
If the waiter earns $128 for 6 hours, divide 128 by 6.
21.33...
4.
Nalli bought a 24-ounce bottle of salad
dressing for $5.75. She has used 60% of the
bottle this week for her lunches. What is the
cost of the amount of salad dressing that she
has used this week?
Answers
Answer:
THAZ NOW NUMBU FO IDIYIT WEN YO POWPIN
Step-by-step explanation:
Hey, guys this is a really long question and I am so lost and stuck, as well as confused on what to do. So, I've gotten my phone taken away many times in the past because my parents claim I am "texting too much"... They always gave it back to me after about a week, but a couple weeks ago, they took it away, saying that they would take it away forever until I am old enough to buy myself a phone with my own money. It's also not like I'm using my phone THAT MUCH, I'm in Middle School and I have a TON of things to get done giving me hardly any time to relax and call my friends or text them. I think they’re being extremely harsh about it and not fair. They also won’t budge if I try to convince them to let me have it back. I am convinced that they deleted my number so that I couldn’t “find my phone” for whatever reason and text people. All my calls from my friends' phones go to voicemail right away, texts don't ever go though. What should I do?
also i picked a random category which was math so.. :D
Answers
Answer:
Ask for it back nicely. Maybe make some offers that might persuade your parents to give your phone back (like chores). Also do nice things for them so that they want to help you more.
Step-by-step explanation:
It works for me most of the time.
Find the error in the solution. Identify the solution, and then solve the problem correctly.
In ΔKLM, m
Use the Law of Cosines to find the length of LM to the nearest tenth.
LM² = 23² - 20² - 2 (23) (20) cos 119°
LM² = 529 - 400 - 920 cos 119°
LM²≈575.02
LM²≈24.0
Answers
Eroor: LM² = 23² - 20² - 2(23)(20) cos 119°
Should be LM² = 23² + 20² - 2(23)(20) cos 119°
Lm² = 575.02 is incorrect
LM² = 1375.016 is correct
LM = 24.0 is incorrect
LM = 37 - 1 is correct
Answer: LM = 37 - 1
Step-by-Step Explanation:[tex]In\ \bigtriangleup KLM[/tex]
[tex]By\ using\ cosine\ gule:[/tex]
[tex]LM^2=LK^2+Km^2-2LK\times Km[/tex]
[tex]\times cos(119\textdegree[/tex]
[tex]LM^2=23^2+20^2-2\times 23\times 20\times -0.4848[/tex]
[tex]LM^2=529+400+920\times 0.4848[/tex]
[tex]LM^2=929+446+016=1375.016[/tex]
[tex]LM=\sqrt{1375.016}=37.0812=37.1[/tex]
[tex]Error:LM^2=23^2-20^2-2(23)(20)cos\ 119\textdegree[/tex]
[tex]Sholeld\ be\ 2M^2=23^2+20^2-2(23)(20)\ cos\ 119\textdegree[/tex]
[tex]Lm^2=575.02\ is\ incosrect[/tex]
[tex]LM^2=1375.016\ is\ correct[/tex]
[tex]LM=24.0\ is\ correct[/tex]
[tex]Lm=37-1\ is\ correct[/tex]
[tex]Answer:LM=37-1[/tex]
I hope this helps you
:)
Help pls!
[tex]\begin{bmatrix}5x+3y=7\\ 3x-5y=-23\end{bmatrix}[/tex]
Answers
Answer:
Soln:
5x+3y=7
(5x+3y)×5=7×5
25x+15y=35,eq.1
3x-5y=(-23)
(3x-5y)×3=-23×3
9x-15y=(-69)
Adding both equations,
25x+15y=35
9x-15y=(-69)
34x=(-34)
x=(-1)
5x+3y=7
(-5)+3y=7
3y=12
y=4
there are five number cards. 1 4 6 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6 Which card was removed? You must show your working.
Answers
Answer:
The card removed was number '4'.
Step-by-step explanation:
9+8= 17
17+6= 23
23+1=24
You then must divide 24 by 4:
24/4 = 6
Therefore the card removed must have been 4.
I hope that helped and I hope it is correct lol.