Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]
so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]
Related Questions
Determine the volume of a cube with sides of 30mm
Answers
Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]
Step-by-step explanation:
[tex]30mm[/tex]
[tex]a=0.03m[/tex]
[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]
(the answer is also in the picture)
Answer:
V≈2.7×10^-5m³
Step-by-step explanation:
a=edge
Unit Conversion:
a=30mm/1000m
a=0.03m
Solution
V= a³= 0.03³
a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³
A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find Pared and blue) (1 point) 40 o 17 00 o SIAMO 0
Answers
Answer:
5/(8+4+5) = 5/17
Step-by-step explanation:
total has (8 red +4 white+5 blue）= 17
we looking for blue , so is 5.
5/17
If the number under the square root radical has no perfect souare
factors, then it cannot be simplified further.
TRUE
FALSE
Answers
Answer:
true
Step-by-step explanation:
Examples :
180 = 5 × 2² × 3²
Then
The number 180 has perfect square factors which are 2 and 3
Then
The number √180 can be simplified because:
[tex]\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}[/tex]
[tex]=\sqrt{5\times \left( 2\times 3\right)^{2} }[/tex]
[tex]=\sqrt{5\times \left( 6\right)^{2} }[/tex]
[tex]=\sqrt{5} \times \sqrt{6^{2}}[/tex]
[tex]=6\sqrt{5}[/tex]
On the other hand :
10 = 5 × 2
Then
The number 10 has no perfect square factors
Then
The number √10 cannot be simplified because:
[tex]\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}[/tex]
[tex]\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}[/tex]
In an orchard, there are 15 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
A: 41:1
B: 15:14
C: 1:15
D:15:1
NO LINKS
Answers
Answer:
D 15:1
Step-by-step explanation:
15 apple trees
26 orange trees
1 cherry tree
apple trees : cherry trees
15 : 1
Answer: D 15:1
Anyone could help out with this
Answers
Answer:
C
Step-by-step explanation:
The answer is the orange one because pie * radius^2 leads to the area of the circl.e
Help pls 85 points??
Answers
A cylinder has a radius of 11 cm. The height
is 9 cm. What is the volume of the cylinder?
Answers
Answer:
621.72
Step-by-step explanation:
The explanation is that the formula is V=2HπR
Multiply all of that and you get your answer of 621.72
Jasmine had $120,000 last year.
This year she has $50,000.
What is the percentage
difference?
[?]%
(Round your answer to the nearest percent.)
Enter
Answers
Answer:
[tex] \approx58\%[/tex]
Step-by-step explanation:
Initial amount = $120,000Final amount = $50,000Difference in amount = 120,000 - 50,000 = $70,000Difference percentage [tex]=\frac{70,000\times 100}{120,000}[/tex]Difference percentage =58.33%Difference percentage[tex] \approx58\%[/tex]From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me
Answers
Reading the given Question , we get to know that 180 ft. is the height of lighthouse and 27° is the angle of depression from top of it to a ship in the ocean
(Figure is attached )
We know , Angle Of depression = Angle Of elevationFor finding base length from the ship to base of lighthouse ,
Tanθ = perpendicular/base
Tan 27° = 180ft/base
Base = 180/0.5095 (Value of tan 27° is 0.5095)
Base = 353.28 ft.
Base = 4239.36 inches
Which equation says that the area of the picture
itself is 700 in ²?
Answers
Answer:
See below
Step-by-step explanation:
(36 - 2x) * (17-2x) = 700 I think, given the info
4x^2 - 106x + 612 = 700 expanded....
A function is shown below.
f(x) = 8x - 11
What value of x makes f(x) = 21?
Answers
f(21)
x=21
f(21)=8(21)-11
f(21)=168-11
f(21)=157
The correct value in this function is f(21) = 157
This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.
– The given function being f(x) = 8x - 11, replace X by 21:
f(x) = 8x - 11
f(21) = 8 . 21 - 11
– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:
f(21) = 8 . 21 - 11
f(21) = 168 - 11
f(21) = 157
Therefore, the correct value of this function will be f(21) = 157
Which is the value of the 4 in 5,138.204?
Answers
Answer:
thousandths
Step-by-step explanation:
In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100
Answers
Answer:
Arc AB = 55°
Angle AOB = 55° ( Centre angle is equal to respective arc )
Arc CD = 25°
Angle COD = 25° ( Centre angle is equal to respective arc )
Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)
55° + Angle BOC + 25° = 180°
Angle BOC + 80° = 180°
Angle BOC = 100°
The graph of y = cos x is transformed to the graph below. Which statement
about the graph is not correct?
QA. There is no phase shift.
OB. The period is pi.
OC. The amplitude is 2.
O. D. The midline is y = 1.5.
EIN
5
Answers
Answer:
d)The midline is y=1.5
Step-by-step explanation:
Because you can see in the graph that the midline is 1. So only c is no correct.
The amplitude is measured between the midline and the pik(highest or lowest value) of the function. This case is 2. True
The period is the distance between “equivalent” points. pi in this case. True.
The phase shift occur when the function is shifted on the x-axis. There is no phase shift. True.
50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half
Answers
Answer: 2
Step-by-step explanation:
See attached image
Trey earned $23, $26, $25, $24, $23, $24, $6, $24, and $23 in tips working at a deli. Find the mean of the amounts of tips he earned.
Answers
Answer:22
Step-by-step explanation:
23 plus 26 plus 25 plus 24 plus 23 plus 24 plus 6 plus 24 plus 23= 198 so count how many numbers there are we had to add so its 198 divided by 9 gives you the answer 22
PLS HELP ME
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Answers
Answer:
First picture: SAS and not existent, so not congruent
Second picture: AAA does not exist, so not congruent
Third picture: SAS for both (yes)
Forth picture: AAS for both (yes)
Step-by-step explanation:
Sorry for no long explanation, but if you have any specific questions, feel free to ask in the comments
Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!
When you have your final draft, you are ready to_________your essay using the work processor.
A. Peer edit
B. Publish
C. Revise
D. Prewrite
Answers
Answer:
C) Revise
Step-by-step explanation:
A final draft needs to be revised before it can be published
NEED HELP ASAP
The system has
One solution
Two solutions
No solution
An infinite number of solutions
Answers
Answer:
The answer is one solution because the graphs are together in one specific point.
Answer:
Two solutions
Step-by-step explanation:
James ordered a $10.20 meal and Mark ordered a $9.50 meal. If the sales tax is 7% and they leave a 15% tip on the price of the meal including tax, then what was the tota!?
Answers
Answer:
The total cost of the meal is $24.24
Step-by-step explanation:
Step 1: Combine the two meal costs.
10.20 + 9.50 = 19.70
Sales tax is 7%, so multiply 19.70 by 0.07 then add the sum to 19.70
19.70 * 0.07 = 1.379
19.70 + 1.379 = 21.079
They leave a 15% tip on the meal, including tax, so take 15% of 21.079 or 21.079 * 0.15, which equals 3.16185
Add 3.16185 to 21.079
This equals 24.24085
Round down to $24.24
A certain buffalo population increases by a factor of 1.2 each year. Of the following which best approximates the factor by which the population will increase over a ten year period?
Answers
The best approximation of the factor by which the population increases over a ten years period will be 6.19.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
A certain buffalo population increases by a factor of 1.2 each year.
Then the best approximation of the factor by which the population increases over a ten years period will be
→ 1.2¹⁰
→ 6.1917
→ 6.19
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.
Answers
Answer:
Your answer is 4.171) Draw the figure; make sure angle C is obtuse.
(2) There are two right triangles -- ADC and ADB.
(3) Let CD=x and AD=y; use the Pythagorean Theorem to form two equations in x and y.
4) Solve the pair of equations. The x^2 and y^2 terms cancel, leaving you with a linear equation in x which is easily solved to find the answer.
So, The length of CD will be 25/6 = 4.17
really need help with my aleks
Answers
Answer:
(4x -4)° +x° +(6x-3)° = 180°J = 99°K = 64°L = 17°Step-by-step explanation:
The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."
__
equation(4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle
solution for x11x -7 = 180 . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . add 7
x = 17 . . . . . . . . . divide by 11
angle valuesm∠J = (6x -3)° = (6(17) -3)° = 99°
m∠K = (4x -4)° = (4(17) -4)° = 64°
m∠L = x° = 17°
What is the measurement of angle C?
Answers
Answer:
84 degrees
Step-by-step explanation:
180-96=84
what is the answer??
Answers
Answer:
76 unit^2
Step-by-step explanation:
Total area: (0.5 * base * height) +( length * breadth ) + (0.5 * base * height)
= (0.5 * 8 * 2) + ( 7*8) +( 0.5 * 8 * 3) = 8 + 56 + 12 = 76
determine the amplitude, b value, period, phase shift, and vertical shift for each function. y = 2 sin 3 (x + 3/2π)
Answers
Answer:
Amplitude:2
b value: pi/6 ± 2 pi/3
period: 2 pi /3
phase shift: 3/2 pi to the left
vertical shift: 0
Hope this helps!!!
Please mark me as brainliest!!!
P.S. I only need one more brainliest to get Virturoso
Find the mean, median, mode, and range for the data set.
12, 46, 32, 18, 26, 41, 46
5890 108 134 115 221
7.3.16
Answers
Answer:
515.1
Step-by-step explanation:
easy
Two numbers are in the ratio 3 : 5. if each number is increased by 10, the ratio becomes 5 : 7.The numbers are .
Answers
Given 3x and 5x --------------- (i)
(3x+10)/(5x+10) = 5/7
On cross multiplication we get :-21x + 70 = 25x + 50
On solving we get :-4x = 20
x = 5
on substituting x in (i) we get 15 and 25.From the triangle, find the missing length
Answers
100% O De a
Becca surveyed the students at her school to find out which cellphone company they use. Her results are listed in the table.
Freshman Sophomore Junior Senior Total
Company A 27 34 24 18 103
Company B 10 15 43 42 110
Company 40 36 34 30 140
77 85 101 90 353
Total
What is the probability that a randomly chosen student is a junior who uses company B?
ОА.
43
353
OD
43
101
OB.
101
353
O E
-43
110
Ос.
110
353
Answers
Answer:
[tex] \frac{43}{110} [/tex]
Step-by-step explanation:
43 is the total amount of junior students
while 110 is the total amount of students who use Company B
and... in probability it's never more than one that's why it isn't
[tex] \frac{110}{43} [/tex]
Hope it helps