Answer:
y = (2/3)x + 19/3
Let me know if there are any parts of the process you do not understand.
Step-by-step explanation:
First you need to know what slope is, if you do not let me know and I can explain it in depth.
Now, you can determine if a line is parallel or perpendicular by its slope. parallel has the same slope and perpendicular has the negative reciporical, which basically means negative 1 divided by the slope.
So if you slope was 3 perpendicular would be -1/3. if the slope is a fraction you can just flip the fraction and make it negative. so if the slope is -2/3 a perpendicular slope would be 3/2, making a negative number negative makes it positive.
Now you start with 2x - 3y = 12. To find the slope I like putting it in slope intercept form. basically somethign that looks liek y = mx + b. to do that just use algebra on what you have to get y by itself. here is how I would do that.
2x - 3y = 12 first subtract 2x from both sides
-3y = 12 - 2x Now divide both sides by -3
y = 12/-3 - (2x)/3 Now simplify
y = -4 + 2/3 x Now rarrange to make it look like I said, basically you want the x first.
y = 2/3 x - 4
There, so the slope is 2/3. A parallel line will have the same slope.
To make the equation of a line you want one point and the slope. Well we have that, the point is (-2,5) and the slope is 2/3.
To find a line you set up the point slope form. that is y - y1 = m(x - x1) where m is the slope and x1 and y1 are the coordinates of the point you need. I will plug all that in.
y - y1 = m(x - x1)
y - 5 = (2/3)(x - (-2)) Now solve
y - 5 = (2/3)x + 4/3
y = (2/3)x + 19/3
So that is the equation of a line parallel to 2x - 3y = 12 that passes through (-2, 5)
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.
9514 1404 393
Answer:
968
Step-by-step explanation:
The area of the top and sides is given by the formula ...
A = LW +2H(L +W)
A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)
A = (360 +16(38)) cm² = 968 cm²
Since the tiles are 1 cm², 968 tiles are needed.
Can someone help me out pls.
What was done to the previous equation?
A) 2x – 10. <--original equation
B) 11x – 10
C) -8 + 11x – 2
D) -8 – 11x – 2
E) -8 + 6x + 5x – 2
F) -8 – 3x + 5x – 2
Ok ill answer the question but do you want me to evaluate it or find it to the simplest form ?
For what values of b will F(x) = logbx be a decreasing function?
Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
[tex]F(x) = \log_{b}{(x)}[/tex]
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
Parallel slope of line x-7y=7
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015
Answer:
30
Step-by-step explanation:
I think that's the answer but if I'm wrong tell me right away I'll try another method.
The square of a number decreased by ten times the number is negative nine.
Answer:
answers are 1 and 9
Step-by-step explanation:
x² - 10x = -9
x² - 10x + 9 = 0
(x - 9)(x - 1) = 0
x = 9, x = 1
Answer:
Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.
Step-by-step explanation:
hope this helps
Please help me!
What is the volume of the prism below?
2 3/4 units3
3 1/2 units3
5 units3
8 units3
Answer:
Step-by-step explanation:
Answer:
3 1/2 units cubed.
1 3/4 · 1 · 2 = 3 1/2
3. A lemonade recipe calls for 1 cup each of sugar and lemon juice and 8 cups of water
Answer:
what exactly are we solving
Step-by-step explanation:
4(q+6) expanded
eeeeeeeeeeeeeeee
Answer:
expanded version of 4(q+6) should be 4q+24
Step-by-step explanation:
just multiply 4 and q, 4 and 6. and add it.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{4(p + 6)}[/tex]
[tex]\huge\text{DISTRIBUTE 4 WITHIN the PARENTHESES}[/tex]
[tex]\huge\textsf{4(p) + 4(6)}[/tex]
[tex]\huge\textsf{4(p) = \boxed{\bf 4p}}\huge\checkmark[/tex]
[tex]\huge\textsf{4(6) = \boxed{\bf 24}}\huge\checkmark[/tex]
[tex]\huge\checkmark\boxed{\huge\textsf{\bf 4p + 24}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 4p + 24}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
First, rewrite
7/9 and 16/21
so that they have a common denominator.
PLEASE HELP THIS IS DUE I HAVE BEEN TRYING AND DONT UNDERSTAND IT!!!!
Answer:
Step-by-step explanation:
Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)
Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)
Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)
Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)
Reflect means flip the sign of the corresponding coordinate
reflect over x axis flip the sign of x coordinate
reflect over y axis flip the sign of y coordinate
Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%
Answer:
C
Step-by-step explanation:
different size wedges would be the most visibly different
What is the measure of n?
m
n
44
11
n
=
[?]
Enter
please help me i’ll give u brainliest rn
Answer:22
Step-by-step explanation:
Figure A ~ Figure B
Figure A
Figure B
R = 5 ft
R = 2 ft
V = 88 cu ft
Find the volume of Figure A.
Answer:
The answer is
1375ft3
Step-by-step explanation:
How do I slove this question.
Answer:
c
Step-by-step explanation:
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of
10 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final
answers to 2 decimal places.)
3378
318.26
to
33174
a. Highest 10 percent
b. Middle 50 percent
c. Highest 80 percent
d. Lowest 10 percent
Answer:
a. Above 337.8 grams.
b. Between 318.25 grams and 331.75 grams.
c. Above 316.59 grams.
d. Below 312.2 grams
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 325 grams and a standard deviation of 10 grams.
This means that [tex]\mu = 325, \sigma = 10[/tex]
a. Highest 10 percent
This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 10*1.28[/tex]
[tex]X = 337.8[/tex]
So 337.8 grams.
b. Middle 50 percent
Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.
25th percentile:
X when Z has a pvalue of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.675*10[/tex]
[tex]X = 318.25[/tex]
75th percentile:
X when Z has a pvalue of 0.75, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 0.675*10[/tex]
[tex]X = 331.75[/tex]
Between 318.25 grams and 331.75 grams.
c. Highest 80 percent
Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.841 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.841*10[/tex]
[tex]X = 316.59[/tex]
Above 316.59 grams.
d. Lowest 10 percent
Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -1.28*10[/tex]
[tex]X = 312.2[/tex]
Below 312.2 grams
If you work 7 miles from your home and work 5 days a week, how many miles do you travel for work each week?
What is the equation of the line that is parallel to the line y = 3x - 4 and passes
through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14
Answer:
B. y = 3x - 14
Completed Attempt 1
2
x
4
6
9
10
This net will be folded to form a prism.
C.
A
B.
С
D
E
F
Which pairs of faces will be opposite one another when the prism is created? Check all that apply.
D and F
A and C
A and B
Answer:
A & C
B & E
D & F
Step-by-step explanation:
Leave a like if this helped
kendrick bought 5 gallons of gass for 16.25. how much did kendrick pay per gallon?
Answer:
$3.25 per gallon
Step-by-step explanation:
Answer: he paid 3.25 for each gallon
Step-by-step explanation:
Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25
HELPPPLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
It is C. 42 oz
--------
There are 230 calories in 4 ounces of ice cream. How many calories are in 6 ounces of that ice cream?
Answer:
345 calories
Step-by-step explanation:
The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.
57.5 x 6 = 345 calories
Help I will give out
Answer:
x = 9
Step-by-step explanation:
The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).
Setup:
[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]
"Cross multiply."
[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]
Select the correct answer.
Which of these graphs represents a function?
W.
X.
Y.
Z.
A.
W
B.
X
C.
Y
D.
Z
The graph that represents a function is graph X
For a graph to represent a function, then the graph must pass the vertical line test.
This means that, no two output values of the graph must have the same input value.
The above statement can be interpreted as:
For every x value, there must be exactly one corresponding y value.
From the given graphs, only graph X passes the vertical line test, because every x value has exactly one corresponding y value.
Hence, the graph X represents a function
Read more about graphs and functions at:
https://brainly.com/question/3939432
Answer:
the answer is x ! hope this helps
Step-by-step explanation:
i took the test
What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2
Answer:
C
Step-by-step explanation:
slope intercept is y=mx+b
The y-intercept is at 2 so b=2.
The slope is rise/run, equaling -3
so y= -3x+2
If it takes 41 minuets for 9 people to paint 9 walls how many minuets will it take for 14 people to paint 14 walls
Answer:
considering the fact that each person paints 1 wall. as 9 person's paints 9 walls then we can say it takes 41 min to paint a wall by a person then
it would take 41 min to paint 14 wall by 14 person
What is the solution to the equation Vn= 3n-3+1?
On=-4, n = -1
O n=-1
n=1
n= 1, n = 4
Answer:
C
Step-by-step explanation:
There are 15 balls in an urn. 5 red balls, 5 blue balls and 5 white balls. Three balls are taken simultaneously. Let X represent the number of Blue balls. Please Help (Random Variable)
Answer:
X = 33.3 percent
Step-by-step explanation:
The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.
A) Define the variables.
B) Write a systems of equations for the situation.
C) Graph the system.
Answer:
C
Step-by-step explanation:
Hope this help and have a nice day
A CD cost a music store $5.75 to make. If the markup is 125%, what is going to be the cost of the CD in the store?
Answer:
12.94
Step-by-step explanation:
5.75x125%=7.19
7.19+5.75=12.94