Answer:
The slope is -9/12
Step-by-step explanation:
First find the slope of the given line:
12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15
The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.
So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.
PLEASE HELP THERE ARE TWO PARTS!!
The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I
Answer:
The constant of proportionality of the graph is 0.75
Step-by-step explanation:
The coordinates of the points on the lines are;
(400, 300), (250, 187.5), and (120, 90)
Which can be written in a tabular form as follows;
Number of US dollars [tex]{}[/tex] Number of euros
120 [tex]{}[/tex] 90
250 [tex]{}[/tex] 187.5
400 [tex]{}[/tex] 300
Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c
Where;
c = The y-intercept (where the graph meets the y-axis) = 0
m = The slope = The constant of proportionality
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]
We have, y = m·x = 0.75·x.
Therefore, the constant of proportionality of the graph = 0.75.
Does this represent a function?
Answer:
No.
Step-by-step explanation:
A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.
However, this graph is a conic, specifically a hyperbola.
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.
Which equation represents g(x)?
Answer:
B
Step-by-step explanation:
Im almost sure it B but if not then its for sure D.
The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
The function is given as
[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]
The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.
The rule of translation is:
[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]
So, we have:
[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]
Take LCM
[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]
Next, translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y)=(x,y+4)[/tex]
So, we have:
[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]
[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
Find out more information about function and translation here
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42 - 4 < 8 AND 9x + 5 > 23 Solve for x
Answer:
x>2
Step-by-step explanation:
9x+5>23
9x>23-5
when the five grosses the inequality sign it changes to a negative since it was initially a positive
9x>18
[tex] \frac{9x}{9} > \frac{18}{9} [/tex]
x>2
State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]
sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]
c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
What's the value of
z? - 3x + 1
when x = -2 and y = 42
Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11
How is online school going so far?
if you place a 37 foot ladder against the top of a 12 foot building, how many felt will the bottom of the ladder be from the bottom of the building
Answer:
Would it be 25 that’s what I got
Step-by-step explanation:
Monica is rollerblading along a trail in Tropical Park. She stopped for water after rollerblading for 2.45 miles. She continued on the trail for another 3.04 miles, then stopped for lunch. She made her final stop after rollerblading for another 2.8 miles. How many miles did Monica rollerblade?
Answer:
8.29
Step-by-step explanation:
If you add them all together your answer should be 8.29
Answer:
8.29
Step-by-step explanation:
hope it helps! :))
a rectangular sheet of paper is 5 2/3cm long and 3 1/5cm wide. find its perimeter
Answer:
85/15+48/15=133/15 ×2=266/15 cm
=17 11/15 cm
Step-by-step explanation:
21st term: 3, 8, 13, 18 ?
Answer: 108
Step-by-step explanation:
A portion of a map with cities A and B is shown. The map uses a scale of 1 inch =15 miles. You are making a map with a scale of 2 inches = 25 miles How far apart are cities A and B on your map?
On Saturday, Kim's softball team will be having a family picnic. Hamburger patties
are sold at the local store with 12 patties in a package. Hamburger buns, however,
are only sold in packages of 9 hamburger buns. Kim's team wants to buy the exact
same number of packages for patties and buns
What is the least number of packages of patties and hamburger buns that Kim's
team should buy to have exactly the same number of patties as hamburger buns? If a
package of hamburger patties cost $4.98 and a package of hamburger buns cost
$2.16, what was the total expense?
Answer:
See below
Step-by-step explanation:
The patties (3 packs)
12x3= 36
The buns (4 packs)
9x4= 36
cost:
3x$4.98= $14.94
4x$2.16= $8.64
Add them to equal the total cost
= $ 23.58
Question Progress
Homework Progr
16
0
Work out
5-2x 38
Give your answer as a decimal.
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
More about the Algebra link is given below.
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a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min
Answer:
estimated number of pages it can print will 80 in 1 min.
Step-by-step explanation:
If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.
we get
12/9 then multiply by 60 you will get 80 pages in 1 minute.
Number of pages a printer can print in 9 seconds = 12 pages
Number of pages than can be printed in 1 second =
= 12/9
= 1.3 pages
Number of pages that can be printed in 1 second = 0.75 page
Number of pages that can be printed in 1 minute =
= 1 minute = 60 seconds
Number of pages that can be printed in 60 seconds =
= 1.3 × 60
= 78 pages
Rounding off 78 , we get 80 .
Therefore , 80 pages can be printed in 1 minute .
Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?
Answer:
No it cant
Step-by-step explanation:
(3,-1) is not a possible solution for the equation y > 2x-3
The points that touch the x and y intercept are (1.5,0) and (0,-3)
Last week, Shelly tode her bike a total of 30 miles over a three-day period.
On the second day, she rode the distance she rode on the first day.
On the third day, she rode the distance she rode on the second day.
rts
How many miles did Shelly ride on each day? Select your answers from the drop-down lists.
On the first day, Shelly rode
miles.
On the second day, Shelly rode
miles.
ols
On the third day, Shelly rode
miles.m
Answer:
Step-by-step explanation:
ON THE FIRST DAY, SHELLY RODE 12 MILES
solve the equation x²+11=36
Answer:
x=5
Step-by-step explanation:
Equation:
x^2 + 11=36
1.Subtract 11 on both sides
x^2 = 25
2. Square root 25
x=5
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
Answer:
40
Step-by-step explanation:
Solve for x and y, will mark brainliest please help!
Answer: x=37, y=9
Step-by-step explanation:
3x+11+x+21=180
4x+32=180
4x=148
x=37
3(37)+11=14y-4
111+11=14y-4
122=14y-4
14y=126
y=9
pls help ASAP i got only 5 minuts left
£1=$1.62
£650 in dollars
$405 in Pounds
605 pounds is 840.25 dollars
405 dollars is 313.30 pounds
Answer:
£650= 840.25$
$405= 313.30£
Step-by-step explanation:
Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *
A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s
Answer:
D: 0.4 m/s
Step-by-step explanation:
32.5 in 13 sec
32.5/32.5=1
so
13/32.5 would be the answer
1 meter in 0.4
Answer:
C
Divide 32.5 with 13, because m/s means meters divide by seconds
im not sure tho
WILL GIVE 100 POINTS AFTER YOU ANSWER
What is the median of this data set: 17, 13, 18, 20, 17, 15, 12
20
17
19
16
Answer:
b
Step-by-step explanation:
The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.
expand and simplify 3(3x-4)-2(2x-1)
Answer:
5x-10
Step-by-step explanation:
distribute 3 & 2 thought the parenthesis
y= 2x² + 36x + 170
(Find the vertex, show steps)
Which one?
A. B. C. or D?
how do i graph 2x+4y=12
Answer:
(0,3) (6,0)
Step-by-step explanation: