Answer:
The solution to the system of linear equations is:
(x, y) = (-2, 8)
Hence, y - 2x = 12 and x - 2y = -18 has the ordered pair (-2,8) as its solution. Thus, option A is correct.
Step-by-step explanation:
Checking the first system of equations
y - 2x = 12
x - 2y = -18
solving the first system of equations
[tex]\begin{bmatrix}y-2x=12\\ x-2y=-18\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}y-2x=12\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y-4x=24[/tex]
[tex]\begin{bmatrix}2y-4x=24\\ -2y+x=-18\end{bmatrix}[/tex]
adding the equations
[tex]-2y+x=-18[/tex]
[tex]+[/tex]
[tex]\underline{2y-4x=24}[/tex]
[tex]-3x=6[/tex]
[tex]\begin{bmatrix}2y-4x=24\\ -3x=6\end{bmatrix}[/tex]
solving -3x=6 for x
[tex]-3x=6[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{6}{-3}[/tex]
Simplify
[tex]x=-2[/tex]
[tex]\mathrm{For\:}2y-4x=24\mathrm{\:plug\:in\:}x=-2[/tex]
[tex]2y-4\left(-2\right)=24[/tex]
[tex]2y+8=24[/tex]
Subtract 8 from both sides
[tex]2y+8-8=24-8[/tex]
Simplify
[tex]2y=16[/tex]
Divide both sides by 2
[tex]\frac{2y}{2}=\frac{16}{2}[/tex]
Simplify
[tex]y=8[/tex]
Therefore, the solution to the system of linear equations is:
(x, y) = (-2, 8)
Hence, y - 2x = 12 and x - 2y = -18 has the ordered pair (-2,8) as its solution. Thus, option A is correct.
someone please help...i’m trying to get my grade up.
Answer:
y=2
Step-by-step explanation:
How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1
Answer:
Steps below
Step-by-step explanation:
(3/x²)+ 2/x =1 (x ≠ 0)
(3/x²) + 2x/x² = 1
(3 + 2x) / x² = 1
3 + 2x = x²
x² - 2x - 3 = 0
(x + 1) (x - 3) =0
x = -1 or x = 3
Explain how the net of rectangular prism can help you find the surface area or the prism?
A 3d cardboard box has 6 sides, each of which are rectangles. If you unfold the 3D box, and flatten it out, then you'll be left with 6 rectangles such as what you see in the attachment below. This is one way to unfold the box. This flattened drawing is the net of the 3D rectangular prism. You can think of it as wrapping paper that covers the exterior of the box. There are no gaps or overlapping portions. If you can find the area of each piece of the net, and add up those pieces, that gets you the total area of the net. This is the exactly the surface area of the box.
In the drawing below, I've marked the sides as: top, bottom, left, right, front, back. This way you can see how the 3D box unfolds and how the sides correspond to one another. Other net configurations are possible.
The Lopez family is traveling from the beach to their house at a average speed of 65 miles per hour. At noon, they have driven 50 miles. Which equation represents the total distance they have driven, d, in terms of the number of hours since noon, h?
The equation that represents the total distance they have driven, d, in terms of the number of hours since noon, h is:
d = 65h + 50
Which equation represents the total distance that the family has traveled?The equation that represents the total distance that the family traveled must show the initial distance they started with, the velocity at which they are traveling and the time they have covered.
The initial distance that they started with is = 50 miles
The velocity at which they are traveling is 65miles/hr
Therefore the total distance they have driven, d, in terms of the number of hours since noon, h
= 65h + 50
Therefore, the third option is correct.
Learn more about distance traveled here:
https://brainly.com/question/4931057
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2√72 + 5√242 what is the answer for this question please can u tell me the right answer
Answer:
67[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Assuming you require to simplify the expression.
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{72}[/tex] = [tex]\sqrt{36(2)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex]
[tex]\sqrt{242}[/tex] = [tex]\sqrt{121(2)}[/tex] = [tex]\sqrt{121}[/tex] × [tex]\sqrt{2}[/tex] = 11[tex]\sqrt{2}[/tex]
Then
2[tex]\sqrt{72}[/tex] + 5[tex]\sqrt{242}[/tex]
= 2(6[tex]\sqrt{2}[/tex] ) + 5(11[tex]\sqrt{2}[/tex] )
= 12[tex]\sqrt{2}[/tex] + 55[tex]\sqrt{2}[/tex]
= 67[tex]\sqrt{2}[/tex]
What are all the exact solutions of square root 2 cosx-1=0 for 0 less than or equal to x less than or equal to 2 pi ?Give your answer in radians.
Answer: [tex]x=\frac{\pi}{4}\ or\ \frac{7\pi}{4}[/tex]
Step-by-step explanation:
Given equation is
[tex]\sqrt{2}\cos x-1=0[/tex]
solving this
[tex]\sqrt{2}\cos x=1\\\cos x=\frac{1}{\sqrt{2}}[/tex]
There can be two solution because [tex]0<x<2\pi[/tex]
[tex]\cos x=\cos \frac{\pi }{4}\ or\ \cos (2\pi -\frac{\pi}{4})\\[/tex]
so, [tex]x=\frac{\pi}{4}\ or\ \frac{7\pi}{4}[/tex]
Answer:
The answer would be
B
Step-by-step explanation:
What are all the exact solutions of square root 2 cosx-1=0 for 0 less than or equal to x less than or equal to 2 pi ?Give your answer in radians.
Explain why it makes sense that a system of two lines with equal slopes but different y-intercepts has no solutions.
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to seek why the system has no solutions
An example is necessary
Let us have two lines with equal slopes and different y-intercepts
y = 2x + 5
y = 2x - 3
To solve this system, we equate the y-values
2x + 5 = 2x - 3
The reason why this has no solution is that there is no x value that would validate the equality
It is impossible to find an x value which when inserted would make both equations equal
In the absence of this, we can make that conclusion that the system of equations has no solution
Neil had $146.82 in his checking account. He deposited $84.27 and wrote a check for $19.12. Then, he wrote another check for $31.86. Which most closely estimates how much money remains in Neil's account?
Answer:
146.82+ 84.27=231.09-19.12=211.97-31.86=180.11 remaining in his checking account
relationship between the veriacbles is function of
Answer:
correalation
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answer:
B
Step-by-step explanation:
Both II and IV are correct
Answer:
B
Step-by-step explanation:
1.6-4.7n+0.23=-4.4n+2.94 Provide step by step please
Answer:
n= 0.121978
Step-by-step explanation:
1.6-4.7n+0.23=-4.4n+2.94
4.7n+1.83=-4.4n+2.94
4.7n=-4.4n+2.94-1.83
4.7n=-4.4n+1.11
4.7n+4.4n=1.11
9.1×n=1.11
n=1.11/9.1
n=0.121978
Answer:
n=-3.7
Step-by-step explanation:
1.6-4.7n+0.23=-4.4n+2.94
-4.7n+1.83=-4.4n+2.94
+4.4n both sides
-0.3n+1.83=2.94
-1.83 both sides
-0.3n=1.11
Divide 3 both sides
n=-3.7
Finding the equation of the line
Answer:
hold on I’ll brb
Step-by-step explanation:
Write the Pythagorean Theorem Formula
Find the square root or square. (Round your answer to the nearest hundredth)
1. a² + b² =(c² which is hypotunes)
2. 7.07
3. 8.94
4. 14.14
5. 132.5
6. 231.04
7. 432.64
8. 63.4
9. 115.3
10. 75.65
11. 154.81
other questions ain't visible done till 11 tho
How can you determine the equation of a line in y =mx + b form from its graph?
Answer:
I'm gonna go a little out of order.
To determine b, find where the line crosses the y-axis. If it's positive, put it as " + " and if it's negative, put it as " - ".
To determine m, find two points on the line that are directly on the number. Example, choose (4, 1) instead of (4.1, 5.2). Go up/down and left/right (while making sure to count) until you reach the second number. going up and right will be considered positive while down and left are considered negative.
Using rise/run, put your number for up/down as a numerator over your left/right, which will be a denominator.
Insert m and b and you're good to go!
The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer than the second side. Find the length of each side
Answer:
6.4 feet
12.8 feet
14.8 feet
Step-by-step explanation:
let x = length of 1st side
let 2x = length of 2nd side
let 2x + 2 = length of 3rd side
add them all together and set sum equal to 34
x + 2x + 2x + 2 = 34
5x + 2 = 34
5x = 32
x = 6.4, which is 1st side
2x = 12.8, which is 2nd side
2x + 2 = 14.8, which is 3rd side
Krys has $1.54 and spends $0.76. Write and solve an equation to find how much money, m, Krys has left.
Answer:
The answer is "m + 0.76 = 1.54".
Step-by-step explanation:
The equation is "m + 0.76 = 1.54".
6. What is the solution to the equation 2/3x + 1 = 1/6x - 7? *
X = -16
x = -4
x = 4
X = 16
Answer:
x=-16
Step-by-step explanation:
2/3x+1=1/6x-7.
Subtract 1/6x.
1/2x+1=-7
subtract 1.
1/2x=-8
divide by 1/2.
x=-16.
Hope this helps plz hit the crown :D
Step-by-step explanation:
[tex] \frac{2}{3} x + 1 = \frac{1}{6}x - 7 \\ \frac{4}{6} x - \frac{1}{6} x = - 7 - 1 \\ \frac{3}{6} x = - 8 \\ \frac{1}{2} x = - 8 \\ \boxed{ x = - 16}[/tex]
-16 is the right answer.Please help wha5nis the answer it’s emergency ✨✨
Answer:
A. 3.7, because |3.7| = 3.7
I hope this helps!
Ellen is playing a video game in which she captures butterflies. There are 5 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 4 of the butterflies. Enter an expression for the number of butterflies after 4 minutes. Use a power of 2 in your answer. An expression is
Answer:
76
Step-by-step explanation: Given that: There are 5 butterflies onscreen
The number of butterflies doubles every minute.
That is every increase in minute = double in the numbers of butterflies
Expressing in the power of 2
= 5×2^n. .......... 1
Where n is 4 which can as well range from ( 1,2,3,4 )
Hence, using the expression in equation 1
Ist minute where n = 1
5(2^1) = 10 butterflies
2nd minutes: where n = 2
5(2)(2) = 5(2^2) butterflies
After 3rd minutes :
5(2^3) butterflies where n = 3
After 4th minutes : where n = 4
5(2^4) butterflies
But at that point she was able to capture 4.
After 4 min, number on screen = 5(2^4) - 4
= 5(16) - 4
= 80-4
= 76
Serenity is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. The total cost of renting the truck can be modeled by the equation C=50+2.75m,C=50+2.75m, where mm is the number of miles driven. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
Step-by-step explanation:
102.77
{(1, 1), (2, 2), (3, 5), (4, 10). (5, 15)}
Function:
Domain:
Range:
HELPPPPPP
Answer:
domain is 1,2,3,4,5
rang is 1,2,5,10,15
Step-by-step explanation:
Domain is x
Range is y
Find slope and substitute for function
What’s the answer?????
Answer:
1963.85
Step-by-step explanation:
Which expression is equivalent to 2^-3/2^-5
Answer:16
Step-by-step explanation:
d is proportional to S^2
d=900 when s=20
calculate the value of D when S=25
Answer:
d = 1406.25
Step-by-step explanation:
Given d is proportional to s² then the equation relating them is
d = ks² ← k is the constant of proportion
To find k use the condition d = 900 when s = 20
900 = k × 20² = 400k ( divide both sides by 400 )
2.25 = k
d = 2.25s² ← equation of proportion
When s = 25, then
d = 2.25 × 25² = 2.25 × 625 = 1406.25
please help 40 points
The product of a number, x, and 4 is 3 more than the product of the number and 7.
x+4=3x+7
x4=3+x7
4x=3(7+x)
4x=3+7x
Answer:
sorry if I get this wrong but I think it's a or c
Step-by-step explanation:
hope this helps
Each student in your class has to do 14 practice problems. There are 23 students in your class. How many problems will your teacher have to grade?
Answer:
322
Step-by-step explanation:
23x14=322
ratio =240cm to 400cm
Answer:
I think it's 3:5
Step-by-step explanation:
I really don't understand your question
Use distributive property to evalúe 3(78) show all steps !
Answer: 234
Step-by-step explanation: 78 * 3 = 210 + 24 = 234
The energy that generates wind comes from what source A. Soar radiation B. Magnetic attraction C. Moon's gravity D. Coriolis effect
Answer:
A. Soar radiation
Step-by-step explanation:
Blowing wind rotates the wind turbine and generates the energy called wind energy. More the speed of wind, more the energy can be generated.
That's how, wind energy depends on the speed of the wind and the speed of the wind is due to the pressure difference in various regions.
The zone having more solar radiation has low pressure and the zone having less solar radiation have high pressure of air and winds flows from high to low-pressure zone.
Therefore, the energy that generates wind comes from what source soar radiation.
Hence, option (A) is correct.
Plz help will award brainliest
Answer:
first one : example: 5•5=25•(-1)=-25
Answer:
A.
Step-by-step explanation:
+ * + = +
- * - = +
+ * - = -
- * + = -
A. + * + * - = + * - = -
B. - * + * - = - * - = +
C. + * - * - * + * + = - * - * + = + * + = +
D. - * - = -
Therefore, it's A.
Hope this helped! <3