I have a system of equations I don’t remember how to do :|
I forgot how to solve this, and I forgot how to find the slope…
Answers
Answer:
x + y = 3 (infinite solutions)
Step-by-step explanation:
You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."
That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.
_____
Additional comments
There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.
We can solve the first equation for y by subtracting x from both sides:
x +y -x = 3 -x
y = -x +3 . . . . . . simplify
In this form, the slope is the coefficient of x. Here, it is -1.
This expression for y can be substituted into the other equation:
3x +3(-x +3) = 9
3x -3x +9 = 9 . . . . . eliminate parentheses
9 = 9 . . . . . . . . . . . simplify
This is true for all values of x or y. There are an infinite number of solutions.
Answer:
There are infinite numbers of solution.
Step-by-step explanation:
Question :[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]
Solution :Solving the question and finding the final answer.
Here,
x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━Now, from equation (i),
[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]
[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]
━━━━━━━━━Now, putting the value of x in equation (ii)
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]
This statement is true for all values of x and y.
So, there are infinite numbers of solution.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Related Questions
the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!
Answers
Answer:
24
**Solving Steps**
2 x (2 x X - 6) = 84
4x-12=84
84+12=96
96/4 = 24
Hope it helps.
question 19 of the attachment below
Answers
Answer:
The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done
Step-by-step explanation:
Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle
Area of regular hexagon ABCDEF with side [tex]x[/tex]
[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]
Area of regular hexagon FGHIJK with side [tex]px[/tex]
[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]
Area of shaded region
[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]
What is an equation of the line that passes through the points (2, -1) and (3,-4)
Answers
Answer:
Step-by-step explanation:
Given:
x1 = 2
x2 = 3
y1 = -1
y2 = -4
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -4 - -1 ) / ( 3 - 2 )
m = -3 / 1
m = -3
Then,
y - y1 = m ( x - x1 )
y - (-1) = -3 ( x - 2 )
y + 1 = -3x + 6
y = -3x + 6 - 1
y = -3x + 5
HELP ME ON MY GEOMETRY PLEASEEEEE
Answers
Answer:
A
Step-by-step explanation:
Help pretty please it’s 4:30 rn and I’m trying to get this done
Answers
Answer:
8b is 1.5*10^4=1.5*10000=15000
9. is 100*1.1=110meters to 100 yards
Hope This Helps!!!
Answer:
91
Step-by-step explanation:
Pls help me 15 points total
Answers
can someone help me figure this out
Answers
Answer:
b ≥ 8
Step-by-step explanation:
b + 4 + 2(-2b + 4) ≤ -12
b + 4 - 4b + 8 ≤ -12
-3b + 12 ≤ -12
-3b ≤ -24
b ≥ 8
Solve please in need of help
Answers
Answer:
not clear and I don't know the answer
Write the equation from the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (8,-1) and slope m=-3
Answers
Answer:
y + 1 = 3(x - 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b ) = (8, - 1 ) , then
y - (- 1) = 3(x - 8) , that is
y + 1 = 3(x - 8)
please help I’ll give 60 points
Answers
5/12 = 5/12
1/4 + 5/12 = 8/12 = 2/3
Answer:
See image
Step-by-step explanation:
You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image
Which statement is necessarily true if is an altitude to the hypotenuse of right ?
Answers
Step-by-step explanation:
it's b
i relly don't know cause theres no image
A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?
Answers
Answer:
y = 10
Step-by-step explanation:
y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.
The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the point be represented as P ( 10 , 2 )
And ,let the slope of the line be m = 0
Slope m = 0
Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 2 = 0 ( x - 10 )
On simplifying the equation , we get
y - 2 = 0
Adding 2 on both sides of the equation , we get
y = 2
Therefore , the value of A is y = 2
Hence , the equation of line is y = 2
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The width of the rectangle is 50% of its length. What is the area of the rectangle?
Answers
Answer:
area = length x half of length
Step-by-step explanation:
whatever the length of the rectangle is, replace it with 'length'
for example if the length was 6cm, it would be:
length x half of length = area
6cm x (6/2) = area
6cm x 3cm = area
18cm² = area
15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.
Answers
Answer:
4.2
Step-by-step explanation:
Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.
The complex zeros of f are:
Answers
Answer:
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-1[/tex]
[tex]0=x^3-1[/tex]
[tex]0=(x^2+2x+1)(x-1)[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex] <-- Real Solution
[tex]x^2+x+1=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions
if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22
Answers
Answer:
C
Step-by-step explanation:
Divide the price by the weight 10 / 4.5 = $2.22 per pound
The angle measures of an isosceles triangle are shown. Find the value of w.
Answers
Answer:
w= 7
Step-by-step explanation:
8w + 9w - 1 + 62 = 180
17w + 61 = 180
17w = 119
w = 7
7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?
8)What is the probability of choosing green?
9) What is the probability of choosing either red or white?
10) What is the probability of choosing neither white nor green?
11) What is the probability of choosing other than yellow?
12) What is the probability of choosing black?
Answers
Answer:
7. 1/3
8. 1/6
9. 13/24
10. 5/8
11. 17/24
12. 0
Step-by-step explanation:
First find the total number balls by summing the indiviudal number of balls:
Total = 5 + 8 + 7 + 4 = 24
Then, the find any probability divide the number of ways your selected situation can happen from the total:
[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]
A final step if you want is to reduce the fraction to its simplest value. For example,
[tex]\frac{2}{4} =\frac{1}{2}[/tex]
7) 8/24 = 1/3
8) 4/24 = 1/6
9) (8+5)/24 = 13/24
10) (24 - 5 -4)/24 = 15/24 = 5/8
11) (24 - 7)/24 = 17/24
12) (0)/24 = 0
---
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In IJK, i = 40 inches, j = 80 inches and ZK=92°. Find ZJ, to the nearest degree.
Answers
Answer:
61.9
Step-by-step explanation:
mark me as brainliest
Answer:
62°
Step-by-step explanation:
The law of cosines is used to find the length of side k:
k² = i² +j² -2i·j·cos(K)
k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568
k ≈ 90.6827 . . . . . . . take the square root
Then the law of sines is used to find angle J.
sin(J)/j = sin(K)/k
J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°
J ≈ 62°
Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
WILL MARK BRAINLIEST IF
- Answer is correct
- Answer is detailed
WILL NOT MARK BRAINLIEST IF:
-Contains links
-Answer not detailed
-Answer incorrect
(P.s: must be 2 answers pls)
Thanks
Answers
Answer:
See below
Step-by-step explanation:
2% increase on 1750=
1750 * 1.02 = 1785
1785 per month gives 1785 * 12 = 21420 per year.
Divide 21420 by 48 weeks = 446.25 per week
Divide 446.25 by 45 hours = 9.92 per hour
Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,
(100%+2%) of £1750
= 1.02 × £1750
= £1785 per month
Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,
Total Earning = 12 × £1785 = £21,420
As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be
Number of hours = 45 hours × 48 weeks = 2,160 hours
Now, the earnings per hour can be written as,
Earning per hours = £21,420/2,160 hours = £9.92/ hour
Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.
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Point R has coordinates of (5.-6). What the coordinates of R' after being reflected across the y-axis?
Answers
Answer:
R' (- 5, - 6 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
R (5, - 6 ) → R' (- 5, - 6 )
Answer:
-5, -6
Explanation:
5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).
Hope this helped :)
Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answers
Answer:
2 hours
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
Let x represent the time it takes together. Per hour the Equalizer
1/3hr + 1/8hr = 1/x Multiplying each term by 24x so as all denominators = 1
8x + 3x = 24
11x = 24
x = 2.18 hrs, the time it takes them together
evaluate the expression for the given value of x.
0.8x+5.4 for x= -3
Answers
Answer:
3.0
Step-by-step explanation:
0.8 times -3 = -2.4
5.4-2.4=3.0
So the answer is 3.0
Divya glued a ribbon around a clipboard. The clipboard is 9 inches wide and 11 inches tall. What is the length of ribbon used and the area of the clipboard?
Answers
Based on the dimensions of the clipboard, the length of the ribbon is 40 inches and the area of the clipboard is 99 inches ².
The ribbon goes around the clipboard which means that its length is the clipboard's perimeter which is calculated as:
= 2 x length + 2 x Width
= 2 x 9 + 2 x 11
= 18 + 22
= 40 inches
The area of the clipboard will be:
= Length x Width
= 9 x 11
= 99 inches ²
In conclusion, the length is 40 inches and the area is 99 inches²
Find out more about area at https://brainly.com/question/16997207.
6. Multiply: i) 3x (5x+8y)
ii) 4x (3x2 + 5x-7)
iii) (3x+4y) (2x-7y)
iv) (2-3a) (2a2-3a+7)
Answers
Answer:
Step-by-step explanation:
3x(5x+8y)=15x^2+24xy
4x(3x^2+5x-7)=12x^3+20x^2-28x
(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2
(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14
a2+b2=
What is the answer
Answers
Answer:
(a+b)² - 2ab
Step-by-step explanation:
it is a formula :)
Find the surface area of the cuboid.
Answers
Answer:
62 cm²
Step-by-step explanation:
The surface area (SA) is the sum of the areas of the 6 faces.
The opposite faces are congruent, then
SA = area of front/ back + area of top/ bottom + area of 2 sides
= 2(5 × 3) + 2(5 × 2) + 2(3 × 2)
= 2(15) + 2(10) + 2(6)
= 30 + 20 + 12
= 62 cm²
If y varies directly as x, find y:
{(8, -12). (20, y)}
Answers
[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]
[tex]\\ \sf\longmapsto 8y=-240[/tex]
[tex]\\ \sf\longmapsto y=-240/8[/tex]
[tex]\\ \sf\longmapsto y=-60[/tex]
Can someone help me?
Answers
Answer:
d
Step-by-step explanation:
Which of the following is NOT a type of fat?
Saturated
Unsaturated
Trans-Fats
Fiber
Answers
Answer:
Fiber
Step-by-step explanation:
Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.
Answer:
fiber is not a type of fat