Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3
Answer:
x = 3
Step-by-step explanation:
y = 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (3, 5) with x- coordinate 3 , thus
x = 3 ← equation of perpendicular line
Triangle PQR and triangle RST are similar right triangles PO
OR represents the Slope of the line PR. Set up an equivalent ratio for the Slope of the line RT. (Use the corresponding sides of triangle RST)
Please show work.
Answer:
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
Step-by-step explanation:
Given that ∆PQR ~ ∆RST, if [tex] \frac{PQ}{QR} [/tex] gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as [tex] \frac{PQ}{QR} [/tex].
Therefore:
[tex] \frac{PQ}{QR} = \frac{RS}{ST} [/tex]
[tex] \frac{PQ}{QR} = \frac{-5 - 3}{2 -(-4)} [/tex]
[tex] = \frac{-8}{2 + 4} [/tex]
[tex] = \frac{-8}{6} [/tex]
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
Evaluate the function.
g(x) = 3x2 – 2x + 5
Find f(2)
Answer:
13
Step-by-step explanation:
12-4+5 = 13
The length of a rectangle is twice that of the width. The perimeter of the rectangle
is 24 cm. What is the width of the rectangle?
9514 1404 393
Answer:
4 cm
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 12 cm.
The width : length ratio is 1 : 2. The width is 1/(1+2) = 1/3 of the total of length and width, so is ...
(1/3)(12 cm) = 4 cm
The width of the rectangle is 4 cm.
Solve for x . x^2+6x+6=0
Answer:
[tex]\boxed {x = \sqrt{3} - 3}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x^2 + 6x + 6 = 0[/tex]
-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
-Multiply both [tex]-4[/tex] and [tex]6[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
-Add [tex]34[/tex] and [tex]-24[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
-Take the square root of [tex]12[/tex]:
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)
-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)
Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The total amount she can expect to be paidin dollars, can be estimated using the function f(x) = 2.5x + 150 , where is the number of words published . What is the inverse of this function?
Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]
Step-by-step explanation:
An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:
If f(a)=b then f⁻¹(b)=a
That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.
To construct or calculate the inverse function of any function, you must follow the steps below:
Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.
You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150
Solving for x:
2.5*x +150=y
2.5*x= y-150
[tex]x=\frac{y-150}{2.5}[/tex]
[tex]x=\frac{y}{2.5}-\frac{150}{2.5}[/tex]
[tex]x=0.4y-60=\frac{2}{5}y-60[/tex]
Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]
supercalifragilisticexpialidocious maggie pls find me
Answer:
i have found you
Step-by-step explanation:
this is number 1 I have 2 more question to this problem. I i really need this answer because I kidda failing class but if somebody help me it will make my day
Answer:
I think that's it :)
Step-by-step explanation:
cause 2.5 x 2 = 5
and then 3 x 2 = 6
Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______
Answer:
16
Step-by-step explanation:
4 x 7 - 6 x 6/3
4 x 7 - 36 / 3
28 - 36 / 3
28 - 12
16
If angle p measures 60 degrees, what is the measure of angle C?
A)120
B)60
C)180
D)30
A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats.
Answer:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
Step-by-step explanation:
From the information given :
The objective is to find the demand function which is expressed in p, the price in dollars charged for each ticket, as a function of x, and the number of average attendance is:
Suppose the admission price P = D(x) = 30 and number of average attendant = x = 800 people
Then:
ΔP = -1
Δx = 20
[tex]\left \{ \dfrac{\Delta x}{\Delta P }= -20 }}\ \right.[/tex]
According to point line form :
[tex]\dfrac{\Delta x}{\Delta P }= -20[/tex] where the point is (30, 800)
∴
x - 800 = -20 (P - 30)
x - 800 = -20P + 600
collect like terms
x + 20P = 800+ 600
x + 20P = 1400
x = 1400 - 20P
[tex]\mathsf{ P = 70 -\dfrac{ 1}{20}x}[/tex]
Thus, price in dollars for each ticket P = D(x) is:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
1.) 9x + 2x - 5x + 7 - 6
Answer:
6x+1
Step-by-step explanation:
9x+2x-5x+7-6
11x-5x+7-6
6x+1
Awnser: 6x+1 :D
What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1
Robert graduates from a technical school and finds a welding job that pays
$14 per hour. He always works at least 40 hours in a given week. When he works
overtime, he gets 1.5 times his regular hourly pay. His overtime pay can be
represented by h, the number of hours greater than 40 he works in a week.
Create an expression for the amount of money Robert earns in a week.
Use the values from the box below. Write the value(s) needed for each addend
in each space on the answer sheet.
Answer: $581
Step-by-step explanation:
given data:
Hours worked weekly(hrs) = 40
wages = $14/hr
Amount earned for overtime = 1.5 times of his hourly pay.
Solution
Amount earned for overtime
= 1.5 * $14
= $21
Amount Roberts earns in a week
= $14 * 40 + $21
= $560 + $21
= $581
Answer:
Weekly earning = 560 + 21h
Step-by-step explanation:
Given the following :
Regular Pay = $14 per hour
Work hour = atleast 40 hours per week
Overtime pay = 1.5(regular pay)
If overtime hour = h
Robert's weekly earning :
Regular pay * 40 + (overtime * 1.5(regular pay))
$14 * 40 + (h * 1.5(14))
560 + 21h
Hence,
Weekly earning = 560 + 21h
Plz help :( I don’t understand
PLEASE MARK AS BRAINLIST
Answer:
1. 2x-20+2x-15=13
4x-35=13
4x=13+35
4x=48
x=12
2. x-4+9=2x-4
2x-x= -4+9+4
x=9
3. IJK=41+130=171
4. KJD=88-50=38
The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.
Answer: 1,2, 5
Step-by-step explanation:
The amount of daylight fluctuates between 4.5 between least to greatest, and the graph required 3 months of horizontal shift compared to the parent function y = sin x, and the greatest number of sunlight can be 14.5 hours, so options A, B, and E are correct.
What is average?The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
Given:
The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation
y = 2.375 sin [(π / 6)x - π / 2]+ 12.125,
Calculate the greatest number of daylight as shown below,
y = 2.375 sin[30 - 90] + 12.125
y = 14.5 hours
Hence, the greatest number of sunlight can be 14.5 hours,
To know more about average:
https://brainly.com/question/28123159
#SPJ5
Please help me out with this! *It's just an extra practice assignment :)
Answer:
t and r are parallels
t and p are perpendicular
Step-by-step explanation:
r and t have the same coordinates 4,1 but one has a negative 4 and 1
t and p have a dot on the same spot
does Squaring a number and adding one will always result in an even number
No, if you square an odd number and add one the result would be even but if you square an even number and add one, the result would be odd.
Answer:
no, let's say we're squaring 2.
Step-by-step explanation:
2^2 = 2 x 2.
2 x 2 = 4
4 + 1 = 5
5 isn't even.
Basically, squaring a number that is already even and adding one will equal and odd number.
Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the remaining Rs. 16(½) to his friend. Calculate how much money he initially had.
Answer:
Rs. 52[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given parameters:
Amount spent on buying a food = Rs. 25.75
Amount spend on buying pen = Rs. 10.25
Amount given out to friend = Rs. 16.5
Unknown:
The total money he initially had = ?
Solution:
The total money he initially had :
= amount spent on food + amount spent on pen + amount given to friend
= Rs. 25.75 + Rs. 10.25 + Rs. 16.5
= Rs. 52.5 or Rs. 52[tex]\frac{1}{2}[/tex]
If MO=16x, MN=14x+20, then what is the length of NM
Answer:
The length of NM would be -26 2/3.
Simplify.
xb2aaayx3yyb3xxabby4x2
Answer:
is that even a real equation?
The points in the table lie on a line. Find the slope of the line.
Answer:
Answer is 6..is correct
A map scale uses 5cm to mean 29 miles.
How many cm on the map represents 87 miles?
Give the digits in the tens place and the hundredths place.
14.67
Answer:
1 is in the tens and 7 is in the hundredths place.
Step-by-step explanation:
14.67
1 is tens place
4 is ones place
then the . decimal
6 is the tenths place and 7 is the hundredths place
The members of the Math team contributed a total of $9.10 for the party after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.
Answer:
Number of possibilities
1) 91 members that contribute 1 dime each ($0.10)
2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
Step-by-step explanation:
A dime = $0.10 in dollars
We are told that:
The total amount contributed = $9.10 for the party after their practice.
Each member contributed the same amount of money in dimes only.
Let the number of members be represented as: x
Number of possibilities
We find the factors of $9.1
= 1, 0.7, 0.13, 9.1
= 1 × 9.1
= 0.7 × 13
= 0.13 × 70
Hence:
1) $0.10 × x = $9.10
x = $9.10/$0.10
x = 91
Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).
2)
7($0.10 )× x = $9.10
x = $9.10/$0.70
x = 13
Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 13($0.10) × x = $9.10
x = $9.10/$0.13
x = 70
Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
What is the solution to 0.2 (4x - 8) = 0.4(12-2x)
Answer:
x = 4
Step-by-step explanation:
Let's multiply both sides by 5 to get rid of the leading fractions.
5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)
(4x-8) = 2 (12-2x)
4x - 8 = 24 - 4x
8x = 32
x = 4
x = 4
please hurry.............The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A: (24 > 16) (24 < 16) (24 = 16)
B: (-22 > -6) (-22 < -6) (-22 = -6)
C: (21 > -18) (21 < -18) (21 = -18)
D: (-25 > 5) (-25 < 5) (-25 = 5)
Multiplying both sides of an inequality by a positive number (does not change or reverses) the inequality symbol.
the things in "()" are the answer choices lol.
Answer:
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ –16 < –4
B:
✔ 40 > 8
C:
✔ –45 < 15
D:
✔ 35 > –20
Multiplying both sides of an inequality by a negative number
✔ reverses
the inequality symbol.
Step-by-step explanation:
hope this helps
Answer:
1. B
2. A
3. B
4. A
5. reverses
Step-by-step explanation:
Given l ||
m
|| n, find the value of x.
m
(4x+16)
n
140°
Answer:
x=31
Step-by-step explanation:
If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16
140-16=4x
124=4x
124÷4=x
31=x
Solve the notable products (x-12).(x+12)
Answer:
x^2 -144
Step-by-step explanation:
Help plss will give brainliest
Answer:
f(3) = 4(3)-2 = 12-2 = 10
Step-by-step explanation:
By comparing f(3) and f(x), you can see that it is basically replacing the x in the equation with the value of 3.