The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One
Answers
Answer:
Zero
Step-by-step explanation:
Option C is correct, there are Infinitely many solutions are there to the system of equations.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The two lines are parallel, they have the same slope, which means that m is the same for both equations.
Therefore, the system of equations can be simplified to:
y = mx + b₁
y = mx + b₂
Subtracting the two equations, we get:
0 = b₁ - b₂
This means that the y-intercepts of the two lines are equal.
The two lines coincide with each other, and there are infinitely many solutions to the system of equations.
Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.
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Related Questions
10. A cliff on the seashore is eroding at the rate of 17 centimeters per year. Write and solve an equation to find the number of
years in which the cliff will erode 85 centimeters.
Answers
Answer:
The number of years in which the cliff will erode 85 centimeters are:
5 years.Step-by-step explanation:
To solve the question in the text, you must create a formula that includes the rate (17 centimeters per year) and a variable representing the time (t), how I show below:
f(t) = 17tWhere:
t = time in yearsRemember that where are not symbols between two numbers o variables, it means you must multiply (17t actually is 17 * t). Now you only must replace t by years 1 per 1 until obtain the value of 85 (the eroding wanted):
f(1) = 17(1) = 17 f(2) = 17(2) = 34 f(3) = 17(3) = 51 f(4) = 17(4) = 68 f(5) = 17(5) = 85How you can see, when the time is equal to 5, the f(t) or the eroding is 85, the value we wanted.
The perimeter of a square is 3x-4 units. If the area of the square is 25 square units, what is the value of x?
Answers
Answer:3
Step-by-step explanation: 3(3)-4 =5
Area now is 5•5 equivalent to 25 :)
The value of x is 8.
Given that, the perimeter of a square is 3x-4 units, and the area of the square is 25 sq units, we need to find the value of x,
We know that the perimeter of the square = 4(sides)
Therefore,
4(sides) = 3x-4
sides = 3x-4 / 4
Now, the area = side²
= (3x-4 / 4)²
therefore,
(3x-4 / 4)² = 25
Taking the roots,
3x-4 / 4 = 5
3x-4 = 20
3x = 24
x = 8
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Find the value of x !!!
Answers
Answer:
x = 5
Step-by-step explanation:
From the Euclidean theorem
10^2 = x(x + 15)
100 = x(x+15) from this equation we can conclude that x = 5 and when
added to 15 it'd be 20 and multiplied by itself the result is equal to 100
Choose the product. -5p 3(4p 2 + 3p - 1) -20 p 5 + 3 p - 1 -20 p 5 - 15 p 4 + 5 p 3 20 p 5 + 15 p 4 - 5 p 3 -20 p 6 - 15 p 4 - 5 p 3
Answers
Answer:
20 p^5 + 15 p^4 - 5 p^3
Step-by-step explanation:
5p^3(4p^2 + 3p - 1)
Distribute
20 p^5 + 15 p^4 - 5 p^3
Answer:
- 20 p^5 - 15 p^4 + 5 p^3
Step-by-step explanation:
= - 5p^3(4p^2 + 3p - 1)
= - 20 p^5 - 15 p^4 + 5 p^3
Hope this helps!
Which expression represents the greatest common factor (GCF) of 105 and 126? A. 3 x 7 B. 2 x 5 x 7 C. 2 x 3 x 7 D. 5 x 7
(HELP AS FAST AS YOU CAN PLEASE!!!!!)
Answers
Answer:
Step-by-step explanation:
factors of 105:
1, 3, 5, 7, 15, 21, 35, 105
factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCF: 3*7 or 21
The GCF ( 105, 126) = 3 *7 =21.
What is GCF?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given:
105 = 3 * 5 * 7
126 = 2 * 3* 3 *7
So, GCF ( 105, 126) = 3 *7 =21
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HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are:
Answers
Answer: (-2,3)
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
===========================================================
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
See diagram below. Point A is the initial point, B is the second step, and C is the final destination.
-----------
Another way to write out the steps is to use the transformation rule below
[tex](x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\[/tex]
The answer ;))))))))
Answers
Answer: option C: A1 = 50.3 in2; A2 = 113.1 in2; A3 = 176.7 in2
Step-by-step explanation: Please see the image below!
What is the shape of the cross section of the figure that is parallel to the triangular bases? A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answers
Answer:
AStep-by-step explanation:
a parallelogram that is not a rectangle
Hope this helpsAnswer:
A
Step-by-step explanation:
I did it on the quiz
help asap pls like right nowww
Answers
Answer:
number 4 is D
Answer:
#4 is D
annnnnnnddddddddddddd............. I dont see the answers for number 5 ;(
(x+y)^2 (x2+2xy+y2) pleas show all work
Answers
Answer:
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
Step-by-step explanation:
1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x
2
+2xy+y
2
)(x
2
+2xy+y
2
)
2 Expand by distributing sum groups.
{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
2
(x
2
+2xy+y
2
)+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
3 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
4 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
(x
2
+2xy+y
2
)
5 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
x
2
+2y
3
x+y
4
6 Collect like terms.
{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x
4
+(2x
3
y+2x
3
y)+(x
2
y
2
+4x
2
y
2
+x
2
y
2
)+(2xy
3
+2xy
3
)+y
4
7 Simplify.
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
answer: x^4+4x^3 y+6x^2 y^2+4xy^3+y^4
Choose the best definition for the following term: substitution
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answers
Answer:
A process where if two things are equal, one can be put in the place of the other and nothing will change
Step-by-step explanation:
Its like replacing :)
Answer:
A letter that holds the place for some unknown value in mathematics
Step-by-step explanation:
Well in all honesty subbing has many definitions depending on what it's used for so in what way are you implying that subbing is used for?
I need help
A.4
B.1/4
C.-4
D.-1/4
Answers
Answer:
The answer is C/-4.
Step-by-step explanation:
Mark me brainiiest.
The difference between a number and 13 is 25. What is the number?
Answers
Answer:
37 is the number
Step-by-step explanation
37- 13 = 25
A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu
Answers
Answer:
Step-by-step explanation:
9.72*400
= 3888 miles
Inform me if I am right
Last Monday local mail carriers delivered 1,344 pieces of mail. Of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. How many letters did the mail carriers deliver on Monday?
Answers
Answer: 1008 letters
Step-by-step explanation:
From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:
= 1 - (1/6 + 1/12)
= 1 - (3/12)
= 9/12 = 3/4
We will now multiply 3/4 by 1344 to get the number of letters delivered.
= 3/4 × 1344
= 1008 letters
Answer:
1008 letters
:):):):):):):)
Factorise fully
5ac - 10a2b + 30a
Answers
Answer:
5a(c-2ab+6)
Step-by-step explanation:
5a is in all three, then factorise
Answer:
5a(−2ab+c+6)
Step-by-step explanation:
Factor 5ac−10a2b+30a
−10a2b+5ac+30a
=5a(−2ab+c+6)
Answer:
5a(−2ab+c+6)
Consider the long division problem below. What error did Sam make when he computed the answer? 0.043 StartLongDivisionSymbol negative 0.2709 EndLongDivisionSymbol minus 258 = 129. 129 minus 129 = a remainder of 0 and quotient of negative 63. The answer should be Negative 6.3. Sam should have moved the decimal point 3 places to the right in both the divisor and the dividend. The answer should be Negative 630. Sam should have moved the decimal point 5 places to the right in both the divisor and the dividend. The answer should be Negative 65. Sam made an error subtracting 258 from 270. The answer should be Negative 61. Sam made an error when multiplying 6 times the divisor.
Answers
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
An rock is thrown upward from a platform that is 202 feet above ground at 70 feet per second. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
to determine when the rock hit the ground.
[Recall that
v
0
is the initial velocity of the object and
h
0
is the inital height of the object.]
Answers
Answer:
in 6.36004793262 seconds
Step-by-step explanation:
h(t) = –16t^2 + v*t + h
0=-16t^2 + 70*t+ 202
t=(-70 ± sqrt((70^(2)-4*(-16)*202))/(2*(-16))
t=(-70 ± sqrt(4900+64*202))/-32
t=(-70 ± sqrt(4900+12928))/-32
t=(-70 ± sqrt(17828))/-32
t=(-70 ± sqrt(2*2*4457))/-32
t=(-70 ± 2 sqrt(4457))/-32
t=(-70 + 2 sqrt(4457))/-32
t=-1.98504793262
t=(-70 - 2 sqrt(4457))/-32
t=6.36004793262
since we need the time it will fall to the ground after it was thrown and time can't be negative, answer is
in 6.36004793262 seconds
I don't know till what I am supposed to round, so I will leave it there.
what is the solution to -122 < -3(-2-8x) -8x
Answers
Answer:
x>-8
Step-by-step explanation:
-122<-3(-2-8x)-8x
-122<6+24x-8x
-128<16x
x>-8
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? (5 points)
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hours
3 ⋅ 12 hours
HELP ASAP U WILL GET BRAINLIEST
Answers
Please answer the question stated below:
Answers
Y=267-57
Y=210
The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs
Answers
Answer:
it states: a squared + b squared = c squared ( the hypotenuse)
Step-by-step explanation:
The math department needs to buy new textbooks and laptops for
the computer science classroom. The textbooks cost $89.00 each, and
the laptops cost $395.00 each.
a. If the math department has $7200 to spend and purchases 60
textbooks, how many laptops can they buy?
b. Suppose the math department decided to purchase 35
textbooks instead of 60. How does this change the number of
laptops that they can buy?
Answers
Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
What is the circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ).C=_____cm
I just don't get it at all
PLZ HELP
Answers
Circumference = 2 pi r
R = 10
Pi = 3.14
Circumference = 2×3.14×10
=20×3.14 = 62.8 cm
_____________________________
Hey!!!
Radius(r)=10 cm
Circumference=?
Now,
Circumference=2 pi r
=2*3.14*10
=62.8 cm
So the answer is 62.8 cm
Hope it helps
Good luck on your assignment
______________________________
Eric and Simon each go for a morning jog before work. Eric's jogging
pace is represented by the equation y=6x, where y is the number of
miles he jogs and x is the number of hours he jogs. Simon's pace is
given by the graph. Choose the statement that correctly compares their
unit rates.
Answers
Answer:
Simons pace is 2 more miles per hour more than eric's.
Step-by-step explanation:
Answer:
Simon's unit rate is 2 more miles per hour than Eric's unit rate
Step-by-step explanation: D
Your teacher tells you that the hour hand on an analog clock will rotate 45° while you write a math quiz. If the quiz starts at 9:00, what time does it end? What is the angle between the starting and ending positions of the minute hand?
Answers
Answer:
1. 10:00 2. 360 degrees
Step-by-step explanation:
1. The hour hand rotated to move app. 1 hour.
2. A full circle all the a way around the clock would equal 360 degrees
Answer:
Ends at 9:45
That is a right angle.
Step-by-step explanation:
Solve the equation x + 7 = 12
Answers
Answer:
5
Step-by-step explanation:
x=12-7
x = 5
Answer:
x=5
Step-by-step explanation:
x+7=12
If you do the same thing to both sides of the equation, then the trueness of the equation does not change. Therefore, I can subtract 7 from both sides of the equation to isolate x.
x+7-7=12-7
x=5
Hope this helps!
12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?
Answers
Ghu
Jogg
780:3 okn 2455!
Is the function even, odd or neither?
f(x) = |x| + 1
Your answer:
Even
Odd
Neither
Answers
Answer: Even
Step-by-step explanation:
This graph has been translated up by one unit but is still symmetrical about the y axis.
A simple proof would be to check if f(x) = f(-x). If it does, then it is even.
To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.
To check for neither, f(-x) will not equal -f(x)
Explanation
ANSWER ASAP -4x-4/3=x-6
Answers
Answer:
x = 0.9333333
Step-by-step explanation:
-4x - 4/3 = x - 6 Multiply through by 3
-12x - 4 = 3x - 18 Add 12x to both sides
-12x+12x-4 = 3x+12x - 18 Combine like terms
-4 = 15x - 18 Add 18 to both sides
-4+18=15x - 18 + 18 Combine like terms
14 = 15x Divide by 15
14/15 = x
x = 0.933333