Answer:
[tex]x = \frac{360}{11} [/tex]
[tex]y = \frac{60}{11} [/tex]
Step-by-step explanation:
Since 6y=x plug 6y in for x on the top equation.
[tex]2(6y) - y = 60[/tex]
[tex]12y - y = 60[/tex]
[tex]11y = 60[/tex]
[tex]y = \frac{60}{11} [/tex]
Plug y=60/11 into 6y=x
[tex]6( \frac{60}{11} ) = x[/tex]
[tex] \frac{360}{11} = x[/tex]
Plug 360/11 into 2x-y=60
[tex]2( \frac{360}{11} ) - \frac{60}{11} = 60[/tex]
[tex] \frac{720}{11} - \frac{60}{11} = 60[/tex]
[tex] \frac{660}{11} = 60[/tex]
The identity is true
If a + b = c, which of the following statements is true?
c – a = b
b – c = a
a – c = b
c + b = a
Answer:
c-a=b
Step-by-step explanation:
Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pounds is Frederick's backpack? Note: 1 pound = 16 ounces
Answer:
25
Step-by-step explanation:
Do 400 divided by 16 to convert to pounds
400/16=25
Hope this helped :)
Answer:
25 pounds
Step-by-step explanation:
1 Pound=16 ounces
? Pounds=400 ounces
400 divided by 16=25
25 pounds=400 ounces
Simplify. 6(23x–5)−7x−8
A rectangular prism has a volume of 360 in3. If the height measures 6in. which base measurements could the prism have?
Answer:
Both sides that are parallel ( 6 inches I believe ) would be 12 in total for both sides. Then the top and bottom would be 3 inches ( I believe ) which would be 6. I think you need to do 6 times 12 until you get 360 and then see how many times you multiplied it and that is your answer. But I am not FULLY sure. Hope this helps somehow!
Step-by-step explanation:
The linear combination method is applied to a system of equations as shown.
4(.25x + .5y = 3.75) → x + 2y = 15
One-fourth(4x – 8y = 12) → x – 2y = 3
2x = 18
What is the solution of the system of equations?
Answer:
hi
Step-by-step explanation:
Option 4th is correct
The solution of the system of equations is, (9, 3)
Step-by-step explanation:
Given the system of equations:
⇒ .....[1]
⇒ .....[2]
Add equation [1] and [2] we have;
Divide both sides by 2 we have;
Substitute x = 9 in [1] we have;
Subtract 9 from both sides we have;
2y = 6
Divide both sides by 2, we have;
y = 3
Therefore, the solution of the system of equations is, (9, 3)
The diagonal of a rhombus are 14cmand 10 cm find the area of
rhombus.
Find the measure of the following:
m arcTR =
m arcTL =
m ∠L =
m ∠R =
m ∠RTV =
Answer:
you have to do that we don't know k sorry bro
Which of the following shapes is concave?
OA)
OB)
OC)
OD)
Answer:
A is a concave polygon,....,.
Answer:
the answer will be A.
Step-by-step explanation:
1/4 + 1/8= ????????????
Answer:
3/8!! hope i helped :))
This means that each point where the two lines intersect is a
Answer: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.
I think this the answer♀️
- 2x + 4 for x = - 3, 0 , and 3.
Answer:
when x=-3 y=10
when x=0 y=4
when x=3 y=-2
Step-by-step explanation:
all you have to do is plug in -3 0 and 3 for x
-2(-3)=6
6+4=10 so when x=-3 y=10
-2(0)=0
0+4=4
so when x=0 y=4
-2(3)=-6
-6+4=-2
so when x=3 y=-2
How many pieces of ribbon can you cut from 10 meters, if each piece is 4
cm long?
Answer:
answer:250 pieces
1 metre=100cm so
10metres =100*10 =1000cm
each piece is 4 CM long, so.,
no. of pieces=1000/4
by dividing by 2....
=500/4
again by dividing by2...
=250/1=250 pieces
so 250 pieces of ribbon can be cuttted from 10 metre long ribbon.
PLz Welp.............................
9514 1404 393
Answer:
No
Step-by-step explanation:
If the relationship were proportional, the ratio of y to x would be a constant.
y/x = 3/1 ≠ 7/3
x and y are not proportional.
Answer to this question?
Answer:
First Answer is correct
Step-by-step explanation:
PLZZZZZZZZ HELPPPP!!!!!!!!!!!!!!
Answer:
1 135
2 80
3 145
4 45
Step-by-step explanation:
Thats the answer
.
.
.
Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?
2 + p
2p
p minus 2
StartFraction p Over 2 EndFraction
Please Help!
Answer:
2p should be the correct answer!
Answer:
2p is the answer
Step-by-step explanation:
I took the answer edg2021
Givereasons
a) The image gives all the details of an object.
b) The shadow of a translucent material is not clear.
Answer:
a
Step-by-step explanation:
HELP ILL MARK YOU BRAINLIST PLZ
Answer:
Step-by-step explanation:
Answer:
An = A + (n - 1) ×d
hope it helps
handing out brainliest!! first one to answer!❤️
Answer:
should be a hope it helps
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
90/1=90
140/2=70
190/3=63.3333333
240/4=60
so the first hour cost more than the others, hope this helps!
B. Solve;
1. Find a number such that three times the sum of that number
and 5 is greater than 33.
2. The sum of two consecutive integers is less than 81. Find the
pair of integers with the greatest sum.
What is the slope of the line represented by the equation y=-2/3-5x?
-5
-2/3
2/3
5
Answer:
-5
Step-by-step explanation:
y=-2/3-5x
Rewriting the equation in the form y = mx+b where m is the slope and b is the y intercept
y = -5x -2/3
The slope is -5 and the y intercept is -2/3
A little help?!? Pleaseee
Answer:
I think no. Because degree is the sum all variables in first equation degree. Is14 but second equation degree not 14.
A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(7) = P(not 7) =
Answer:
[tex]1) \frac{1}{13} \\ 2) \frac{12}{13} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:simple probabilityPEMDAStips and formulas:there are 4 "7" cards in a decklet's solve:according to the question
P(7)=4/52P(7)=1/13according to the question
P(not 7)=1-[tex]\frac{1}{13}[/tex]P(not 7)=12/13Answer:
no of 7=4
total no of card =52
total not no.7=52-4=48
Step-by-step explanation:
probability of getting 7=4/52=1/13
probability of not getting 7=48/52=12/13
if y varies directly as x and y=32 when x=4. find the constant of variation
Answer:
k = 8
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 32 when x = 4, then
32 = 4k ( divide both sides by 4 )
8 = k
I need help with this one please and can yall explain this because I try to do but I can't just figure it out
Answer:
9
Step-by-step explanation:
because the FIM and LAK are similar, then
FI/LA=IM/AK=MF/KL
MF/KL=2/3
Help me ASAP!!!!!!!!!
See picture attached.
WINNER GETS BRAINLIEST, A STAR RATING OF EXCELLENT AND THANKS!!!!!!!!!!! Good luck!
Answer:
Step-by-step explanation:
A)8
I need help with Geometry
Answer:
Me too
Step-by-step explanation:
Answer: hello
your answer will be C
Step-by-step explanation:
In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained. C
What is the answer?
here is the image
Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.
What is dilation?Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image.
From the diagram:
Scale factor = A'B' / AB = 6/3 = 2
Center = (6, -6)
Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.
Find out more on dilation at: https://brainly.com/question/10253650
What digit is missing from the quotient?
Answer:
1
Step-by-step explanation:
Answer:
1 is missing
Step-by-step explanation:
As 4285 ÷ 7 = Quotient- 612 , Remainder - 1
prove it please
answer only if you know
Part (c)
We'll use this identity
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\[/tex]
to say
[tex]\sin(A+45) = \sin(A)\cos(45) + \cos(A)\sin(45)\\\\\sin(A+45) = \sin(A)\frac{\sqrt{2}}{2} + \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\[/tex]
Similarly,
[tex]\sin(A-45) = \sin(A + (-45))\\\\\sin(A-45) = \sin(A)\cos(-45) + \cos(A)\sin(-45)\\\\\sin(A-45) = \sin(A)\cos(45) - \cos(A)\sin(45)\\\\\sin(A-45) = \sin(A)\frac{\sqrt{2}}{2} - \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
-------------------------
The key takeaways here are that
[tex]\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
Therefore,
[tex]2\sin(A+45)*\sin(A-45) = 2*\frac{\sqrt{2}}{2}(\sin(A)+\cos(A))*\frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\2\sin(A+45)*\sin(A-45) = 2*\left(\frac{\sqrt{2}}{2}\right)^2\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = 2*\frac{2}{4}\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = \sin^2(A)-\cos^2(A)\\\\[/tex]
The identity is confirmed.
==========================================================
Part (d)
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\\sin(45+A) = \sin(45)\cos(A) + \cos(45)\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}\cos(A) + \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\[/tex]
Similarly,
[tex]\sin(45-A) = \sin(45 + (-A))\\\\\sin(45-A) = \sin(45)\cos(-A) + \cos(45)\sin(-A)\\\\\sin(45-A) = \sin(45)\cos(A) - \cos(45)\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}\cos(A) - \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\[/tex]
-----------------
We'll square each equation
[tex]\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\\sin^2(45+A) = \left(\frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\right)^2\\\\\sin^2(45+A) = \frac{1}{2}\left(\cos^2(A)+2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
and
[tex]\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\\sin^2(45-A) = \left(\frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\right)^2\\\\\sin^2(45-A) = \frac{1}{2}\left(\cos^2(A)-2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
--------------------
Let's compare the results we got.
[tex]\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
Now if we add the terms straight down, we end up with [tex]\sin^2(45+A)+\sin^2(45-A)[/tex] on the left side
As for the right side, the sin(A)cos(A) terms cancel out since they add to 0.
Also note how [tex]\frac{1}{2}\cos^2(A)+\frac{1}{2}\cos^2(A) = \cos^2(A)[/tex] and similarly for the sin^2 terms as well.
The right hand side becomes [tex]\cos^2(A)+\sin^2(A)[/tex] but that's always equal to 1 (pythagorean trig identity)
This confirms that [tex]\sin^2(45+A)+\sin^2(45-A) = 1[/tex] is an identity