Answers
Answer:
[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]
Step-by-step explanation:
Let
[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]
then
[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]
==========================================
We have:
[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]
Let
[tex]y=m_2x+b_2[/tex]
Therefore
[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]
Substitute
[tex](0,\ -1)\to x=0;\ y=-1[/tex]
[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]
Related Questions
I need the function for the volume of the box for number 1
Answers
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
expand and simplify (x+7)(x+1)
Answers
Answer:
x² + 8x + 7
Step-by-step explanation:
(x + 7) (x + 1)
= x(x + 1) + 7(x + 1) Distributive
= (x · x) + ( x ·1 ) + (7· x) + (7 · 1)
= x² + x + 7x + 7 Multiply
= x² + 8x + 7 Add like terms
Are all real numbers either rational or irrational?
Answers
Answer:
Yes. All real numbers are either rational or irrational.
Step-by-step explanation:
The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.
Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.
For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)
Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.
Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.
Identify the equation of the line graphed below. Prove by converting!
A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8
Answers
Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
y=3x+4
y=3x+3
Select the correct answer from the drop-down menu.
Answers
Answer:
y=3x+4 I think I am correct hola amigo señorita a person in my class is called adiola adiola adiola hah
Answer:
Its inconsistent
Step-by-step explanation:
If you are doing 5.11 Unit Test: Systems of Equations - Part 1 from K12, this is your answer
The graphs of the lines do not intersect, so the graphs are parallel and there is no solution. Since there are no solutions, its inconsistent.
If it has at least ONE solution, its consistent.
If it has EXACTLY ONE solution, its consistent in dependable
If it has INFINITE AMOUNT of solutions, its consistent dependable
Awnser please jsjshshshdh
Answers
Answer:
No
Step-by-step explanation:
A function cannot have two of the same x values (3 and 3)
I hope this helps!
chose the expressions that are equivalent to the expression 3 2/3
A) square root 3^6
B) ^3 square root 3•3
C) square root 3^2 3^2
D) ^3 square root 3^2
E) square root 3^3
F) ^3 square root 9
G) square root 3•3•3•3•3•3
H) square root 3•3•3
Answers
Answer:
E no is the correct answer
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
C
Step-by-step explanation:
Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much money did she have originally
Answers
Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those
Answers
Answer:
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Class 11
>>Physics
>>Units and Measurement
>>Errors in Measurement
>>You measure two quantities ...
Question
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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for
AB
as
Medium
Solution
verified
Verified by Toppr
Correct option is
D
1.4m±0.2m
Here, A=1.0m±0.2m, B=2.0m±0.2m
AB=(1.0m)(2.0m)=2.0m
2
AB
=
2.0m
=1.414m
Rounding off to two significant figures, we get
AB
=1.4m
AB
ΔAB
=
2
1
(
A
ΔA
+
B
ΔB
)=
2
1
(
1.0
0.2
+
2.0
0.2
)=
2
0.3
Δ
AB
=
2
0.3
×
AB
=
2
0.3
×1.414=0.212m
Rounding off to one significant figure, we get
Δ
AB
=0.2m
The correct value for
AB
is 1.4m±0.2m
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds
Answers
Answer:
a) gallons
b) gallons
Step-by-step explanation:
a)1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.
__
b)Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.
Help!!! Ill give 100 points!
Answers
Answer:
7/20
Step-by-step explanation:
Answer: if you calculate math yo7 would get 7/20
Step-by-step explanation:
how to solve 1/2x +8 = 7+ 1/2x
Answers
[tex]\frac{1}{2}x +8=7+\frac{1}{2}x <=>\frac{1}{2}x -\frac{1}{2}x =7-8<=>0x=-1[/tex] (no solution)
P/s: [tex]\frac{1}{2}x +8\neq 7+\frac{1}{2}x[/tex]
Ok done. Thank to me :>
Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False
Answers
My friend needs your help
Answers
Answer:
Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you
Step-by-step explanation:
Have a great rest of your day
#Nova
Find the hypotenus of the following triangles.
Answers
Answer:
a 17, b 10, c 15, d 20
Step-by-step explanation:
a^2+b^2=c^2
64+225 = 289
a = 17
36+64 = 100
b = 10
81+144 = 225
c = 15
256+144 = 20
Hope that helps
Convert -439° to radians
Answers
Answer:
-439° × π / 180°
= -2.4388888889π rad
= -7.6619954163 rad
Step-by-step explanation:
π rad = 180°
Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?
Answers
The smallest possible value of x is the value less than 2/3
Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]
We need to find the smallest possible value of x as shown:
[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]
Reciprocate both sides
[tex]x < \frac{2}{3}[/tex]
Hence the smallest possible value of x is the value less than 2/3
Learn more on inequality here: https://brainly.com/question/4192645
Answer:x=7
Step-by-step explanation:
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.
Answers
Answer 2019 /0.0047 /2014/ 0.493
Step-by-step explanation:
The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
What is Percent Change?A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.
The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.
Given:
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.
This is an increase on the average of `8.1` hours per workday in 2014.
So, Percent change = (Final value - initial value) / initial value x 100
Percent change = 8.5 - 8.1 / 8.1 x 100
Percent change = 4.93%
Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
Learn more about the percent change here:
brainly.com/question/809966
#SPJ2
The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground? x > 0. 5 seconds and x > 2. 04 seconds x > 0. 5 seconds and x ≤ 2. 04 seconds x ≥ 0. 5 seconds and x > 2. 04 seconds x ≥ 0. 5 seconds and x ≤ 2. 04 seconds.
Answers
The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
Given that,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
We have to determine,
During what time interval will the tennis ball be at least 15 feet above the ground?
According to the question,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
Then,
When the tennis ball be at least 15 feet above the ground,
[tex]h(x) = 15[/tex]
Substitute the value of h(x) in the equation,
[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]
Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,
[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]
Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
For more details about Inequality refer to the link given below.
https://brainly.com/question/17177510
Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of the fraction by to find the percent?
4
8
50
100
Answers
Answer:
4 if im right:)
Step-by-step explanation:
Answer:
A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%
There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answers
Answer:
19/50
Step-by-step explanation:
19 males and 50 people are in total
Answer:
19/50
Step-by-step explanation:
number of men=19
total passengers = 19+31=50
ratio of men to total people's = 19/50
PLEASEEEE HELPPPP ASAPPPP
Answers
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
US
Evaluate the following
expression using x = 10:
5x + 31
Answers
Answer:
The value is [tex]81[/tex]
Step-by-step explanation:
We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]
We have
[tex]5\times10+31=50+31\\\\=81[/tex]
The perimeter of a rectangular piece of paper is 52 inches. The area is 133 square inches. What are the dimensions of the paper?
____inches by ____ inches
Answers
Answer:
7 inches by 19 inches
Step-by-step explanation:
We can use a system of equations for this.
x=length
y=width
2x+2y=52 (Perimeter)
xy=133 (Area)
We must find x and y that fit both these equations.
Hope this helps :)
Giving brainiest pls help
Answers
Answer:
Ivan: 4
Caleb: 4, 4, 4, 4, 4, 4, 4
Step-by-step explanation:
For every 4 Ivan sees, Caleb sees 28. (4 times 7)
Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help
Answers
Answer: 1.25 problems/min
32 minutes --> 40 problems
1 minute --> 40/32
--> 1.25
Seven tickets for a Broadway show cost $385. How much will only 4 tickets cost?
Answers
Answer:
That seems a little hard-
Step-by-step explanation:
Answer:
$220
Step-by-step explanation:
If seven tickets cost 385, then 1 ticket costs one-seventh of that amount, so we divide it by 7 to see how much one ticket costs.
385/7 = 55
One ticket is $55. To find out how much 4 tickets cost, multiply 55, the price of one ticket, by 4.
55 * 4 = 220
$ tickets cost $220
i need help asap please Question: A dress is on sale for d dollars. The regular price is 3 times as much.
Janine has enough money to buy 2 dresses at the regular price.
How many dresses can Janine buy at the sale price?
Answers i can choose from
A.
1 dress
B.
3 dresses
C.
6 dresses
D.
9 dresses 4th grade work
Answers
Answer:
It's C
Step-by-step explanation:
You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
(0,6)
(0,–6)
(6,0)
(–6,0)
Answers
Answer:
D: (-6,0)
Step-by-step explanation:
Set f(x) equal to 0 and solve for the values of x:
f(x) = (x+6)(x-3)
0 = (x+6)(x-3)
x+6=0 and x-3=0
x=-6 and x=3
Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.
Answer: (-6, 0)
Step-by-step explanation:
got it right on my test