The equation in standard form of the line is given by:
[tex]\frac{8}{3}x + y = 15[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the line is parallel to 8x + 3y =15, hence the slope is given by:
[tex]m = -\frac{8}{3}[/tex]
It passes through the point (6, -1), hence:
y = mx + b
[tex]-1 = -\frac{8}{3} \times 6 + b[/tex]
b = 15
Hence:
[tex]y = -\frac{8}{3}x + 15[/tex]
In standard form:
[tex]\frac{8}{3}x + y = 15[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
When number is multiplied by 4 subtracting from 68, the result obtained is the same as three times the sum of the number and 4 find the number
Answer:
Let the no.be X
when multiplied by 4 = 4X
68-4X=3(X+4)
68-4X=3X+12
collecting like terms together,
7X=56
therefore; X=8
hence ,the number is 8.
3 A packet contains 1.5 kg of oats.
oats
OO
1.5kg
Every day Maria uses 50 g of oats to make porridge.
How many days does the packet of oats last?
Answer:
30 days
Step-by-step explanation:
1.5 Kg = 1500 g
Using 50 g a day
Number of days
= 1500 / 50
= 30 days.
What is the lateral area and surface area of the cone shown below?
Answer:
Lateral Area = 906.3
Surface Area = 461.8
Step-by-step explanation:
1. Find Values:
Diameter = 14
Radius = 7
Height = [tex]\sqrt{19^{2}-7^{2} }[/tex]=17.7
2. Find Lateral Area:
LA= [tex]\frac{1}{3}[/tex] * PI * [tex]r^{2}[/tex] * h
LA = 906.3
3. Find Surface Area:
SA = PI * r * slant height + (2 * PI * r)
SA = 461.8
Find the approximate length of C (WILL CHOOSE BRAINLIEST)
Answer:
c approx= 3.46
Step-by-step explanation:
30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)
The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. In your question we know the long leg is 3.
3÷ sqroot3 = sqroot3
The short leg is sqroot3. The hypotenuse is double that, 2sqroot3.
c = 2sqroot3 is the exact value.
c ~= 3.46
Because the points have the same x-coordinate, the distance between the two points is a vertical distance. The distance from the ordered pair (−4,−3) to the x-axis is the absolute val
ue of it's y-coordinate. What is the absolute value of the y-coordinate in the ordered pair (−4,−3)?
Answer:
3
Step-by-step explanation:
The distance from a point to the x axis is the absolute value of its y-coordinate as it mentioned in the problem.
So take the y-coordinate, -3, and find the absolute value by making the number positive. Absolute values are always positive.
help please!!!!!11!!!1!!
Answer:
2.1 meters
Step-by-step explanation:
[tex]13.8=2w+2(w+2.7)[/tex]
[tex]13.8=2w+2w+5.4[/tex]
[tex]13.8=4w+5.4[/tex]
[tex]8.4=4w[/tex]
[tex]2.1=w[/tex]
Which outcome is most likely to occur along a transform boundary?
earthquakes
deep-sea trenches
rugged mountain ranges
hot spots
Answer:
The grinding action between the plates at a transform plate boundary results in shallow earthquakes, large lateral displacement of rock, and a broad zone of crustal deformation.
Step-by-step explanation:
It transform boundaries are where plates slide past each other causing friction, leading to earthquakes.
This is my answer absolute 100% correct
Hope it helps Favor(Brainliest)
#Carryonlearning
Need help graphing!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
plot the points
0,0
1,3
2,6
3,9
if anything else is needed inform me.
What is the value of x if x * x + 2x - 35 = 0?
Answer:
x=5 or -7
step by step:
x2+2x−35=0
Step 1: Factor the left side of the equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Answer:
Your X value would equal to:
5 or -7
(images attached below show a step by step explanation)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Please help, this is due today for my homework!
2 spinners have three options. One has 1,2,3 while the other one has A,B,C. What is the probability of spinning a vowel and not spinning a 1?
Answer:
*** "and" means multiply
2/9
Step-by-step explanation:
*** "and" means multiply
spinning a vowel is 1/3
not spinning a 1 is 2/3
1/3 times 2/3 is 2/9
A. Dilation
B. Rotation
C. Reflection
D. Translation
Answer:
C
Step-by-step explanation:
Both the figures are mirror images of each other and equidistant from the y-axis, so they are reflected across the y-axis.
Answer:
Reflection
Step-by-step explanation:
Figure one was reflected accross the y axis to create figure two :)
Have an amazing day!!
Please rate and mark brainliest!!
Each side of a square barn is 9 meters long. What is the barn's area?
What is the barn's perimeter?
Answer:
Perimeter = 36 meters.
Area = 81 meters.
Step-by-step explanation:
To find the perimeter of a square you have to add all sides.
To find its area you have to multiply the base by the height of a square.
HELP I NEED TO TURN IN TOMORROW
ken says that 9138 rounded to the nearest thousand is 9,100 because 3 is less than 5
what might be Ken's misunderstanding about rounding _________?
help ken correct his misunderstanding ______________________________?
Answer:
Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000
Step-by-step explanation:
select all the expressions that are equivalent to 16^5/2
Answer:
A, C, E
Step-by-step explanation:
[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]
A. 4^5 = 1024 Yes
B. 8^5 No
C. 4^5 Yes
D. [tex] 16^{\frac{2}{5}} [/tex] No
E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex] Yes
F. [tex] 16^{\frac{11}{2}} [/tex] No
Please help, will give brainliest
Answer:
question5=B that is the answer
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?
Answer:
[tex]a_{n} =500(n) + 30,000[/tex]
Step-by-step explanation:
Hey there!
This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by
After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].
Answer:
The answer is [tex]a_{n} =500n+29,500.[/tex]
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.
Step-by-step explanation:
The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.
Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].
f(x)=−8x+4 What is the value of f(−14)?
0
2
3
6
Answer: 116
Step-by-step explanation:
We can substitute x=-14, giving us f(-14)=-8(-14)+4=116
A bag with 12 marbles has 12 blue marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.
Answer:
Well then it would be blue every single time since there are 12 marbles in the bag and 12 are blue.
Step-by-step explanation:
There is really no other way to explain it lol
Have a nice day!
A marble is chosen from the bag at random and the probability is 1.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
A bag with 12 marbles has 12 blue marbles.
A marble is chosen from the bag at random.
The probability,
= number of favorable outcomes / total number of outcomes.
= 12/12
= 1
Therefore, the probability is 1.
To learn more about the probability;
brainly.com/question/11234923
#SPJ2
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him. in your answer, specify whether he should use total surface area or lateral surface area. calculate the one you choose, give that measurement of the box, and then explain how you calculated it. grade 5 mathematics item specification c1 ti
The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?Total surface area (TSA) = 2(wl+hl+hw), where:
l = lengthw = widthh = height of the box.The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box
l = 20 in.
w = 8 in.
h = 13 in.
Plug in the values into the formula for total surface area of a rectangular box:
TSA = 2(8×20 + 13×20 + 13×8)
TSA = 1,048 in.²
Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
Learn more about rectangular box on:
https://brainly.com/question/13103197
please help me with B im stuck
Answer:
A = 160
Step-by-step explanation:
Formula 1/2 d1d2
1/2 (16 x 20)
320 x 1/2 OR 320/2
=160
Hope this helps :)
When it is 8:00 a.m. in damascus, it is 4:00 p.m. in vladivostok. if your plane departs from vladivostok at 10:45 a.m. local time and lands in damascus at 12:30 p.m. local time, how long was the flight? a. 1 hour, 45 minutes b. 5 hours, 45 minutes c. 9 hours, 45 minutes d. 13 hours, 45 minutes
The length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
What is local time?Local time refers to the time of a particular region. The term local refers that whoever is noticing the time and calling it local time means that the person is telling about the time of the place where they're currently staying.
For this case, we're provided that:
When its 8:00 a.m. Damascus it its 4:00 pm in Vladivostok, so the time in Vladivostok is 8 hours ahead of Damascus (or 16 hours behind).
Assuming its 8 hours ahead, as the plane departs from 10:45 am from Vladivostok, and lands in Damascus at 12:30 pm, so 12:30 pm + 8 hours gives 8:30 pm in Vladivostok.
So, the plane departed at 10:45 am of Vladivostok and lands at 8:30 pm in Vladivostok, so it took 9 hours and 45 minutes for his flight to go from Vladivostok to Damascus. (since difference between 8:30 pm and 10:30 am (from 10:30 am to 8:30 pm) is of 9 hours 45 minutes)
Thus, the length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
Learn more about timezones here:
https://brainly.com/question/4054255
Answer:
When it is 8:00 a.m. in Damascus, it is 4:00 p.m. in Vladivostok. If your plane departs from Vladivostok at 10:45 a.m. local time and lands in Damascus at 12:30 p.m. local time, how long was the flight?
a. 1 hour, 45 minutes
b. 5 hours, 45 minutes
c. 9 hours, 45 minutes<<< CORRECT
d. 13 hours, 45 minutes
Step-by-step explanation:
2022 Edge TOPIC TEST
if sin(32)=x , then sin(4) cos(4) cos(8) cos(16)=..............
Solve using double angle trigonometric functions
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.
How to simplify an expression by trigonometric expressions
Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.
In this question we must simplify a given expression by using the following trigonometric formula:
sin 2x = 2 · cos x · cos x (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]
To learn more on trigonometric functions, we kindly invite to check this verified question: https://brainly.com/question/6904750
Use point-slope form to write the equation of a line that has a slope of and passes through (-3,-1). Write your final equation in slope-intercept form. Show work
Answer:
so u have to shoe ur work right? so (-3,-1)=(-2,4-) there
Step-by-step explanation:
can you guys help me plss thank you
Answer:
G: 770 yards
A: diameter
O: multiplication/division
N: 770 = 2πr
S: D = 2r = 770/π
A: 770/π or ≈ 245.0986 yards
Step-by-step explanation:
Hope this helps!
Answer:
Given: circumference = 770 yards
Asked: Diameter of the circle
Solution:
pi x d = 770
d = 770/ pi
What is the equivalent expression of 3(7e+1)=
Answer:
210 i hope i helped you with this question
Please help quick if possible
(using the image below)
Find the axis of symmetry
Answer:
-2, 10
Step-by-step explanation:
From the image, I'm pretty sure it's asking you to find where the line can be "cut" into to make it symmetrical. If this is true, you would need to find a half way mark in the graph, or try and plot this on the graph.
Find the area of the figure
A: 14 cm2
B: 50 cm2
C: 60 cm2
D: 64 cm2
Answer:
64 cm^2
Step-by-step explanation:
Split the figure into two parts (top and bottom rectangle)
TR : 2 x (12-5)*
2 x 7 = 14
*= Since there are a few ways to split it up but I chose to make the top one shorter so you have to subtract 5 from 12
BR : 10x5 = 50
Add together
14 + 50 =
64 cm^2
Hope this helps :)
Which is a factor of both terms of the expression 6f−12?
Answer:
6(f-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you solve the highest common factor first, then you can look for other factors.
Solution
6 = 2 * 3
12 = 2*2*3
The highest common factor is one 2 and one 3 making 6.
Use the distributive property to show what the 2 factors look like when the common factor is taken out.
6( f - 2)
Other factors.
You could take out just 1 factor like 2 or 3
2(3f - 6)
3(2f - 4)
Answer
I would submit 6(f - 2)
When rounded to the hundreds place, which of the numbers below round to 23,400? Select all that apply.
A) 23,445
B) 23,345
C) 23,395
D) 23,410
E) 23,451
Answer:
I think the answer is B 23,345
If m/n = 5, then what is the value of m^2 - 25n^2?
=============================================
Work Shown:
m/n = 5
m = 5n
m^2 - 25n^2 = (m)^2 - (5n)^2
m^2 - 25n^2 = (m-5n)(m+5n)
m^2 - 25n^2 = (5n-5n)(5n+5n)
m^2 - 25n^2 = (0n)(10n)
m^2 - 25n^2 = (0)(10n)
m^2 - 25n^2 = 0
-----------------
Another approach:
m/n = 5
m = 5n
m^2 = (5n)^2
m^2 = 25n^2
m^2 - 25n^2 = 0
-----------------
Consider the example that m = 10 and n = 2.
We can see that m/n = 10/2 = 5
Furthermore,
m^2 - 25n^2 = 10^2 - 25*2^2 = 100 - 100 = 0
I'll let you try out other examples.