Answer:
y = 120x + 100
x = y/120 - 5/6
Step-by-step explanation:
Factorize
[tex]3x - 5 \sqrt{x} = 2[/tex]
Please help me solve this
Lines k and n intersect on the y-axis
a. What is the equation of line k?
(-2,6) 6-
(4,5)
b. What is the equation of line j?
710
m
(5.2)
2-
109
(-3,-1)
a. The equation of line k in slope-intercept form is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)
a) The equation of line k is:
[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]
b) The equation of line j is:
[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Item a:
Line k intersects line m with an angle of 109º, thus:[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]
In which [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of k and m.
Line k goes through points (-3,-1) and (5,2), thus, it's slope is:[tex]m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}[/tex]
The tangent of 109 degrees is [tex]\tan{109^{\circ}} = -\frac{29}{10}[/tex]Thus, the slope of line m is found solving the following equation:[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]
[tex]-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}[/tex]
[tex]m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2[/tex]
[tex]m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}[/tex]
[tex]\frac{167m_2}{80} = \frac{-202}{80}[/tex]
[tex]m_2 = -\frac{202}{167}[/tex]
Thus:
[tex]y = -\frac{202}{167}x + b[/tex]
It goes through point (-2,6), that is, when [tex]x = -2, y = 6[/tex], and this is used to find b.
[tex]y = -\frac{202}{167}x + b[/tex]
[tex]6 = -\frac{202}{167}(-2) + b[/tex]
[tex]b = 6 - \frac{404}{167}[/tex]
[tex]b = \frac{6(167)-404}{167}[/tex]
[tex]b = \frac{598}{167}[/tex]
Thus. the equation of line k, in slope-intercept formula, is:
[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]
Item b:
Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.Thus, the slope of line j is:
[tex]-\frac{202}{167}m = -1[/tex]
[tex]m = \frac{167}{202}[/tex]
Then
[tex]y = \frac{167}{202}x + b[/tex]
Also goes through point (-2,6), thus:
[tex]6 = \frac{167}{202}(-2) + b[/tex]
[tex]b = \frac{(2)167 + 202(6)}{202}[/tex]
[tex]b = \frac{1546}{202}[/tex]
The equation of line j is:
[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]
A similar problem is given at https://brainly.com/question/16302622
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A.
How fast did Car B travel?
(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)
Answer:
60mph
Step-by-step explanation:
2s - 30 = 1.5s
2s - 1.5s = 30
.5s = 30
s = 60 mph is car B's speed
help me , i will give you points
Explain, using complete sentences, the advantages and disadvantages of a deferred payment plan.
Answer:
some advantages is that you can not pay all at once some disadvantage is that you can feel like you can. do that always then you can get late fees that can cost more the the product it self
2. original: $20.00
percent of discount: 40%
And explain why
Answer:
because u loss $12 I think
what is equivalent to x^4-12x^2+36
Answer: x^4-12x^2+36
Step-by-step explanation:
The question is in the picture
Answer:
y=2x
Step-by-step explanation:
As you can see in the picture, the y value is 2 times the x value.
I BEG YOU I WILL GIVE BRAINIEST PLSSS
Marjorie wrote �� + �� using the GCF and the distributive property as �(� + ��) while Bobby wrote the expression as ��(� + �). Who correctly rewrote the expression using the GCF and why?
Answer:
its for the points U w UStep-by-step explanation:
Unit Rate
Mr. Park paid $79.00 for 5 shirts.
What was the cost of each shirt in
dollars and cents?
Answer:
$15.80
Step-by-step explanation:
Given:
5 shirts for $79
Work:
79/5 = 15.80
It costs $1.20 per person and $3.75 per hour to rent a meeting room at the library. Let x represent the number of people and y represent the number of hours. If 3xpeople rented the room for 2yhours, write an expression to represent the total cost of the rental?
Answer:
1.2(3x)+3.75(2y)
Step-by-step explanation:
multiply 1.2 by what you know for number of people
multiply 3.75 by what you know for number of hours
graph the linear function. g(x)=2/5x-3
3
a. What is mZTVZ? Show your work.
R
S.
120°
v (2x + 15)°
3x°
T
(2x + 5)^
The answer is 95
3x=120 head by head angle
so the x=40
m TVZ also meet the (2x+15) angle
m TVZ = 2x+15
and the x equal to 40
m TVZ= 2(40)+15
m TVZ= 80+15
m TVZ= 95.
Have great day
Answer:
the intersection make every angles share the same head has the same value the answer is 95Step-by-step explanation:
1) 120=3x then x= 40
2) 2x+15=( 2*40)+15=80+15=95°
3) then TVZ=95°
1. VIDEOTAPES Lyle is putting his
videotapes on a shelf. The shelf is
12 inches long. If each videotape is
1 inches wide, how many videotapes
can he put side-by-side on the shelf?
Answer:
12 divided by 1.5 = 8 tapes
Hope this helps you
How many square yards of carpet are needed to cover the floor of a related 15 feet long and 12 feet wide
Answer:
20 yards squared.
Step-by-step explanation:
First, you should convert your units. Three feet make a yard, so 15 feet = 5 yards and 12 feet = 4 yards.
The area of a square is found by multiplying the length and width, so 5 yards x 4 yards = 20 yards.
A rope is 225 centimeters long.
You need the rope to be 112 meters long.
Answer:
multiply by 49.8 or add 10975 cm.
Please help quickly
The equation of the straight line having a gradient m and passing through (0,0) is?
Answer:
y=mx
because line is passing through origin ,so y intercept is 0.
General equation of a line is given as y=mx+c where m=slope of the line.
hi can someone please answer my question. thank you ❤️
What is the value of a when the equation is 3x+6y=a?
Answer:
a = 3x + 6y
Step-by-step explanation:
You start by flipping the equation.
After that there is not enough information to solve for a.
the ratio of a shorter walkway to a longer walkway is 3 to 5. the lenght of the sorter walkway is 45 meters. what is the lenght of the longer walkway
Answer:
75 mStep-by-step explanation:
Let s- shorter walkway, l- longer walkway.
Given:
s/l = 3/5s = 45 mFind the length of l:
45/l = 3/5l = 45*5/3l = 75 mAnswer:
[tex]\sf\longmapsto \: length = 75 \: metres[/tex]
Step-by-step explanation:
Now let's find out what's the length of the long walkway–
[tex]\sf\longmapsto \: \frac{3}{5} = \frac{45}{\: length\: of \:longer\: walkway} [/tex]
[tex]\sf\longmapsto \: \: length\: of \:longer\: walkway= \frac{45 \times \: 5 }{3} [/tex]
[tex]\sf\longmapsto \: length\: of \:longer\: walkway= 75 \: metres[/tex]
The length of the longer walkway is [tex]\sf\longmapsto \: length = 75 \: metres[/tex]
Jennifer can type 75 words in 3 minutes. Determine how many words she can type in 4 minutes
Answer:
75/3=25
25*4= 100 words
? Write 126 as a product of primes. Use index notation when giving your answer.
Answer:
2 x 7 x 3²
Step-by-step explanation:
When finding primes, you use the method I attatched as a picture. Start with the large number at the top, slowly dividing it by factors of it.
The picture shows that the primes 126 is a product of is:
2, 7, 3, 3
Or:
2 x 7 x 3 x 3
This can be simplified into:
2 x 7 x 3²
Hope this helps!
Answer:
Write 126 as a product of primes.
Use index notation when giving your answer.
Step-by-step explanation:
the circumcenter of a triangle is equidistant from the
Answer:
The circumcenter of a triangle is a point that is equidistant from all three vertices. The circumscribed circle is a circle whose center is the circumcenter and whose circumference passes through all three vertices.
Step-by-step explanation:
We can conclude that the circumcenter of a triangle is equidistant from the three vertices of the triangle.
What is the Circumcenter of a Triangle?The circumcenter of a triangle can be said to be a point where all three perpendicular bisectors of the sides of the triangle intersect. At this point, all three vertices of the triangle are equidistant.
This means that, each vertices are far from the circumcenter at equal distance.
Therefore, we can conclude that the circumcenter of a triangle is equidistant from the three vertices of the triangle.
Learn more about the circumcenter on:
https://brainly.com/question/21299234
I don't really understand what I suppose to do here so please help me with the question
Answer:
look at the time for example, B's time is constant because it isn't skipping numbers like 1, 5, 3,etc.
the height is also constant because it is dividing each number by 2, 60÷2=30, 30÷2=15, 15÷2=7.5. You will notice A is not constant so (no) but B is so (yes)
Find two consecutive numbers whose squares differ by 11.
Please help! I will give you brainliest
Answer:
6 and 5
Step-by-step explanation:
6*6 -5*5
=36-25
=11
" lon works at a restaurant and earns $20 for each shift, plus an hourly wage of $9.50. He earned $58 on his last shift, but forgot how many hours he worked. he was able to solve for his shift length bu subtracting 20 from 58 and then dividing by 9.50. Which of the equations below can be solved with these steps? "
A) 58x - 20x = 9.50
B) 9.50x + 20 = 58
C) 20x + 58x = 9.50
D) 20 = 58 + 9.50x
Answer:
The answer is b
Step-by-step explanation:
x represensts the number of hours worked with 9.50 for every hour and then you add an extra 20 because that's what his job gives him just for showing up
PLS DO NOT PUT A LINK IT DOES NOT WORK
The statement below describes a situation in which opposite quantities combine to make zero:
A cup with a hole in it loses 2 ounces of water in the first minute and then loses 2 ounces of water in the second minute.
True
False
Answer: False
Step-by-step explanation:
A cup with a hole in it loses 2 ounces of water in the first minute. This mathematically means
Add -2 (loses ⇒ means getting less)
Then the cup loses 2 ounces of water in the second minute. This mathematically means
Add -2 (loses ⇒ means getting less)
In total, and means loses 4 ounces in two minutes.
Thus, the statement below does not describe a situation in which opposite quantities combine to make zero, so this statement is false
Yuri descended 450 feet down a
mountain. Her elevation changed at a
steady rate over 3 hours. What was her
change in elevation per hour?
Find the measure of each marked angle.
The larger angle measures?
The smaller angle measures?
Answer:
the larger one is 105º
the smaller one is 75º
x=11
Step-by-step explanation:
9x+6+6x+9=180
15x+15=180
15x=165
x=11
9(11)+6=106
6(11)+9=75
Answer:
x = 11
Step-by-step explanation:
the larger one is 105º
the smaller one is 75º
x = 11
At a local print shop, 10 copies can be made for $4. At this rate, how how many copies
could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
huh? i don't understand
Step-by-step explanation:
what? Ahhahahha
What is the product? Enter your answer as a fraction, in simplified form, in the box. 38⋅(−36) I WILL GIVE BRAINLIEST TO THE BEST ANSWER 100 POINTS
Answer:
If you multiply 38*(-36) you would get -1368. And to convert that into a fraction it could be -1368/1, -13680/10, etc.
Step-by-step explanation:
Answer:
-1368/1
Step-by-step explanation: