Answer:
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Step-by-step explanation:
The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:
[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)
Where:
[tex]m[/tex] - Slope of the original line.
[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.
If we know that [tex]m = 1[/tex], then the new slope is:
[tex]m_{\perp} = -\frac{1}{1}[/tex]
[tex]m_{\perp} = -1[/tex]
A line is defined by the following expression:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:
[tex]b = y - m\cdot x[/tex]
[tex]b = 1+4[/tex]
[tex]b = 5[/tex]
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Simplify the expression:
5(4x - 2)
i need help
Step-by-step explanation:
5(4× - 2)
5x4=20
5×2=10
Answer = 20x - 10
Answer:
20x-10
Step-by-step explanation:
Simply multiply.
5 × 4X = 20X
5× -2 = -10
Combine both
20X - 10
What is -1.2 repeating as a mixed number
Answer:
[tex]-1\frac{2}{9}[/tex]
Step-by-step explanation:
_
y = - 1.2
_
y × 10 = - 1.2 × 10
_
10y = - 12. 2
_
10y = - 12. 2
- _
y = - 1.2
____________
9x = 11
9x ÷ 9 = 11 ÷ 9
[tex]x = -1\frac{2}{9}[/tex]
_
- 1.2 = - 1 2/9
if you get 7,676 of something per 0.5 milliseconds how much would you have of that something in 8 hours
Answer:
The answer will be 441907200 not sure
Step-by-step explanation:
HURRRRRYYYYY!!! This Stem-and-Leaf Plot shows the number of students in each of the cooking classes held at the local recreation center last week. What are the values of the following statistics? NO LINKKKKKKKKKKKSSSSS!!!! WILL GIVE BRAINLIEST!
Range =
Median =
Mode =
Answer:
4 im correct I don't care i used my brain and guessed
Step-by-step explanation:
Answer:
the range is 16 mode is 5 and median is 11
Step-by-step explanation:
u can cheat if u exit out of the assignment and then keep trying
need help again still struggling
Answer:
0.111111...
Step-by-step explanation:
Hi,
this function is stating that for any x the f is 9(3)^x.
SO if x was -4 it would be 9(3)^-4
Following order of operations we calculate the exponent first.
the answer is 0.1111111...
Choose the function whose graph is given by:
+1
2
x
+-1
- -2
-4
O
A. y= 4sin(x+1) - 2
B.y= 6sin(x+1) - 2
c. y= 4cos(x- 1) +2
D. y= 4sin(x-1) - 2
Your answer would be y=4sin(x+1)-2. That would be A.
The required function is y = 3 sin (x -2) + 1.
What is Function?A relation between a collection of inputs and outputs is known as a function.
A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).
From the graph that is provided to us we observe that,
when x=2
then f(x)=1
Here, from the function y = 3 sin (x -2) + 1
So, when x=2
we get: y=1
Also, all the other points are satisfied.
Learn more about Function here:
https://brainly.com/question/12801690
#SPJ7
The value of a boat is depreciating at a rate of 9% per year. In 2006,
the boat was worth $17,800. Find the worth of the boat in 2013.
Write an exponential decay function for this situation. Graph the
function and state its domain and range. What does the y-intercept
represent in the context of the problem?
Answer:
Hello yes indeed I am here now vote me brainliest.
Step-by-step explanation:
Why you ask? well first I want it even though I did not do anything to help him/her even though, it is funny. :)
HELP WITH 9 AND 10! I really don’t understand how to find these!
Answer:
50 and C
Step-by-step explanation:
Remark.
The geometric mean is the middle number between two numbers that are 2 places apart. It's easier just to make up an example to show what the mean is
4 8 16
8 is the geometric mean of 4 and 16. The first term (4) is multiplied by 2. The third term is derived from 8 (the mean) multiplied by 2
So to solve this problem you need to find what a is multiplied to get get the mean, and multiplied again by the same thing you did before to go from the mean to the third term.
Solution
12 / mean = mean / a Cross multiply
mean^2 = 12*a
But the mean is given as 10sqrt(6)
12a = 100 * 6
12a = 600
a = 50
20 / mean = mean /a
mean^2 = 20 a
mean = 10 sqrt (10)
100 * 10 = 20*a
a = 1000 / 20
a = 50
From 1980 to 1990 the consumer price index increased from 82.4 to 130.7 if a bottle of dish soap cost 0.74 in 1980 and the price of dish soap increased at the same rate as the cpi from 1980 to 1990 by approximately how much did the price of the bottle of dish soap increase from 1980 to 1990
Answer:
$0.43
Step-by-step explanation:
Rate of increase = [(CPI in 1990 / CPI in 1980)^1/t] - 1
(130.7 / 82.4)^1/10
1.586165^0.1 = 1.047213 - 1 = 4.72%
Price of dish soap in 1990 = value in 1980 ( 1 + rate of increase)^10
0.74( 1.047213)^10 = 1.174
Price increase 1.174 - 0.74 = 0.43
Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)
Answer:
A = $ 4188.38
Step-by-step explanation:
A= $2500
r = 3.5% = 0.035
t = 15years
n = 1
[tex]A = P(1 + r)^t[/tex]
[tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]
Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different combinations are possible?
Answer:
180
Step-by-step explanation:
to work out all possibilities you multiple the amount of options.
4x5x9=180
PLEASE ANSWER I NEED HELP SEE THE ATTACHMENT
Answer:
[tex]p=\frac{50}{360} 2\pi [8cm+(8-9)cm]+2(4.5cm)[/tex][tex]=19.0~cm[/tex]--------------------------
hope it helps...
have a great day!!
Write the equation of the line in slope-intercept form
Answer:
y = 4/1 + 0
Step-by-step explanation:
we rise 4 units up and move 1 unit to the right
and the y intercept is 0 because its exactly in the center of x and y axis
David takes out a 20year 70,000 loan from his bank 2010. The quadratic equation that approximates the year/loan balance relationship is y = - 98x ^ 2 - 1, 531x + 69, 71 , where x is the number of years and y is the balance In what year, will his loan balance be $37,2347
Answer:
2022
Step-by-step explanation:
The duration of the loan David takes = 20 year loan
The amount David takes as loan = 70,000
The year David takes the loan = 2010
The year/loan balance relationship is y = -98·x² - 1,531·x + 69,710 (We note that the proper constant for the loan balance should be approximately 70,000, therefore the added zero)
Where;
x = The number of yeas
y = The balance
The year his loan balance will be $37,234.7, is given as follows;
37,234.7 = -98·x² - 1,531·x + 69,710
-98·x² - 1,531·x + 69,710 - 37,234.7 = 0
-98·x² - 1,531·x + 32,475.3 = 0
Factorizing with a graphic calculator, gives;
-98·(x - 11.998)·(x + 27.62) = 0
∴ x = 11.998 ≈ 12 or -27.62
The number of years it takes for the loan balance to be $37,234.7 = 12 years
Given that he took the loan in 2010, the loan balance will be $37,234.7 in 2010 + 12 = 2022
PLEASE GIVE ME THE PERCENTAGES FOR THIS CHART!
BRAINLIEST REWARD!!
Answer:
Sleeping - 30.2%
School - 17.6%
Homework - 0%
EC - 6.73%
Computer - 13.45%
Phone - 0%
Television - 1.68%
Excercise - 6.73%
Family time - 20.18%
Other - 3.36%
Step-by-step explanation:
hope this helps :)
Match each expression it to an equivalent expression
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{4^2}{2^2} = 4\\\\(8-4)*4=4^2\\\\2^2 + 2^2 = 8[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Simplifying each expression:}}\\\\\frac{4^2}{2^2}\\---------\\\\\\rightarrow \frac{16}{4}\\\\\rightarrow \boxed{4}\\\\ \boxed{\frac{4^2}{2^2}=4}[/tex]
⸻⸻⸻⸻
[tex](8-4) * 4\\-----------\\\rightarrow (4)*4\\\\\rightarrow \boxed{16}\\\\\text{We can also tell...}\\\\4^2 = 4 * 4 = \boxed{16}\\\\\text{So...}\\\\\boxed{(8-4)*4 = 4^2}[/tex]
⸻⸻⸻⸻
[tex]2^2 + 2^2\\--------------\\\rightarrow 4 + 2^2\\\\\rightarrow 4 + 4\\\\\rightarrow \boxed{8}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Jacob wants to enlarge a 4 in. By 6 in. Photo so that the longer side will be 14 in. How long will the shorter side be? (MUST SHOW WORK) HINT: Refer to your notes on Scale Drawings.
Answer: 9.3 in.
Step-by-step explanation:
Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.
This means that Jacob wants to increase the larger side by a scale factor of:
= Length of enlarged picture / Length of original
= 14 / 6
= 2.33
2.33 is therefore the scale factor.
The shorter side will also increase by this same scale factor:
= 4 * 2.33
= 9.3 in.
the dishes have been cleaned by us into active voice
Answer:
the dishes sparkled after we washed them.
Step-by-step explanation:
in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y and r
you showed no diagram or any picture / screenshot
PLease help me :( You will get 20 pionts! And i will mark Brainliest!
picture is also included
Question:
Which term describes how the two sides of this figure are related ?
A. Induction
B. Symmetry
C. Scientific method
D. Deduction
Answer:
B. Symmetry
Step-by-step explanation:
They are symmetrical, meaning they are mirrored or both look the same.
Hope this helps! :)
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1, -7) and (9, 1).
Answer:
y = -5/4 x + 2
Step-by-step explanation:
the slope of line segment : (1+7) /(9+1) = 8/10
= 4/5
the mid point of line segment :
x = (-1+9)/2= 4
y= (-7+1)/2 = -3
the coordinate : (4, -3)
the slope of line perpendicular to line segment
= -1 ÷ 4/5 = -5/4
so the equation :
y+3= -5/4 (x-4)
y+3= -5/4 x +5
y = -5/4 x + 2
Answer this wuestion for me man
Answer:
The length of ribbon is [tex]\sqrt{32}[/tex].
Step-by-step explanation:
Length of the side of square = 4 inches
let the length of the diagonal is x.
By use of Pythagorean theorem
[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]
What’s the answer for this
155/18 x 2
Step-by-step explanation:
[tex] \tt{} \frac{155}{18} \times 2[/tex]
[tex]\tt{} \frac{155}{9} [/tex]
[tex]\tt{}17 \frac{2}{9} \\ \\ \\ [/tex]
How do I this math problem? If tan8 theta = cot 7 theta then theta =?
Given:
[tex]\tan 8\theta =\cot 7\theta[/tex]
To find:
The value of [tex]\theta[/tex].
Solution:
We have,
[tex]\tan 8\theta =\cot 7\theta[/tex]
We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].
Using the trigonometric property, we get
[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]
On comparing both sides, we get
[tex]8\theta =90^\circ -7\theta[/tex]
[tex]8\theta +7\theta=90^\circ [/tex]
[tex]15\theta=90^\circ [/tex]
Divide both sides by 15.
[tex]\theta=\dfrac{90^\circ}{15}[/tex]
[tex]\theta=6^\circ[/tex]
Therefore, the value of [tex]\theta[/tex] is 6 degrees.
The question and multiple choice answers are in the image. Hope you can help!
Answer:
answer b, SAS rule
Step-by-step explanation:
The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.
Pls help I’ll give crown
Answer:
C) (0,5)and(-4,5)
Step-by-step explanation:
A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass
Answer:
1/3 x + 40 = 5/7 x
7x +(21)(40) = 15x
21*40 = 8x
x = 105cm3
Step-by-step explanation:
The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters
Answer:
Length = x - 4 meters
Step-by-step explanation:
Area of a rectangle = length × width
Area of a rectangle = x² - 16
width of the rectangle = x + 4 meters.
Length of the rectangle = ?
Recall:
Difference of two perfect square x² - 16 = (x + 4)(x - 4)
Area of a rectangle = length × width
(x + 4)(x - 4) = length * x + 4
Length = (x + 4)(x - 4) ÷ x + 4
Length = x - 4 meters
Which of the following is the area of a triangle pictured below
Answer:
(2) 22.44 cm^2
Step-by-step explanation:
A = bh/2
A = (8.8 cm)(5.1 cm)/2
A = 22.44 cm^2
Answer:
22.44 cm^2
Step-by-step explanation:
8.8 - 7.6 = 1.2
1.2 · 5.1 = 6.12 / 2 = 3.06
7.6 · 5.1 = 38.76 / 2 = 19.38
19.38 + 3.06 = 22.44 cm^2
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
Step-by-step explanation:
• the area of circle M = 3.14×11² = 379.94
• the circumference of circle M =
2×3.14×11 = 69.08
• XY =√36²-11²=√1296-121=√1175=34.28
• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°
• the area of triangle XY = ½×11×34.28
= 188.54
• the area of minor sector
= 72.21/360 × 379.94 = 76.20
• the minor arc from point X to
the point where YM intersects
withthe circle
= 72.21/360 × 69.08 = 13.86