How many solutions does the nonlinear system of equations graphed below
have?
A. One
B. Two
C. Four
D. Zero
Answers
Putting two or more equations in a system means to find the set of variables that satisfies all the equations at the same time.
Moreover, the points that satisfy an equation are the points that lay on the graph described by the equation.
So, putting everything together, solving a system means to lay on all the graphs at the same time. In other words, the solutions of a system are the points of intersection between the graphs that represent the functions involved in the system.
In this case, the line and the circumference have two points of intersection, and they are the two solutions of the system.
In the absence of the graph, one can still note that the number of solutions a nonlinear system of equations has depends on the points of intersection of the curves represented by the equations. Each point of intersection represents a solution.
Explanation:Unfortunately, without the graph, it is rather difficult to directly answer how many solutions the nonlinear system of equations has. In general, the number of solutions for a nonlinear system of equations can be determined by where the curves represented by the equations intersect. The point of intersection is considered a solution. This is because at this point both equations hold true. If the curves intersect once, then there is one solution. If they intersect twice, then there are two solutions. If they never intersect, there are zero solutions.
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Related Questions
Which compound inequality represents the length, w, of the essay?
Answers
Answer:
D)150 ≤ w ≤ 500
Step-by-step explanation:
Let be the number of word in Kylie's essay.
We know that the essay has to have a minimum word count of 150, so the length of the essay must be greater or equal than 150 words; remember that in mathematics we say greater or equal with the sign: ≥, so we can express the statement as:
Which is equivalent to
We also know that the essay has to have a maximum word count of 500 words, so the length of the essay must be lest or equal than 500 words; remember that we can say the same using the symbol ≤, so we can express the statement as:
Now, we can join our tow inequalities in a compounded one:
The length w of an essay is typically represented by a compound inequality of form a < w < b, where a and b represent the range of acceptable lengths. Without specific details, we can't provide a more precise inequality.
Explanation:From the question, it seems that the length w of the essay might be compared to a word count that is too short or too long. This could translate into an inequality such as a < w < b, where a and b represent the acceptable range of the essay length in words. Unfortunately, without specific values for 'too short' and 'too long', we cannot give a more precise answer. However, the type of compound inequality we are talking about is known as a 'conjunction' or 'and' inequality, represented by a < w < b or a ≤ w ≤ b if including the exact lower and upper bounds.
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Simplify negative 5 minus the square root of negative 44
Answers
Answer:
Simplification of [tex]-5-\sqrt{-44}[/tex] is:
[tex]-5-2i\sqrt{11}[/tex]
Step-by-step explanation:
We are given a expression:
[tex]-5-\sqrt{-44}[/tex]
We have to simplify the given expression.
We know that:
[tex]\sqrt{-1}=i[/tex]
[tex]-5-\sqrt{-44}\\\\=-5-\sqrt{-4\times 11}\\ \\=-5-\sqrt{-1\times 2^2\times 11}\\ \\=-5-2i\sqrt{11}[/tex]
Hence, simplification of [tex]-5-\sqrt{-44}[/tex] is:
[tex]-5-2i\sqrt{11}[/tex]
the Scientific notation 2 times 10^10-2 has what value
Answers
2 x 10^(10 - 2)
2 x 10^(8)
2 x 100,000,000
200, 000, 000
Six less than five times a number is at least thirty- four
a) solve the inequality
b) graph the solution on a number line
c) write the solution in interval notation
Answers
Step-by-step explanation:
Six less than five times a number is at least thirty- four
n - number
5n - 6 ≥ 34a)
5n - 6 ≥ 34 add 6 to both sides
5n ≥ 40 divide both sides by 5
n ≥ 8
b) in the attachment
c) n ∈ [8, ∞)
Which points lie on the line that passes through point P and is parallel to the given line? Select three options.
(-4, 2)
(-1,3)
(-2, 2)
(4,2)
(-5, -1)
Answers
Answer:
So we have (-1,3), (-2,2) and (-5,-1).
Step-by-step explanation:
So we need to find the equation of the line that is parallel to the blue line going through point P.
The slope of the blue line (count the rise/run) is 1/1=1.
Parallel lines have the same slope.
So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.
So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.
Point P is actually the y-intercept of the line going through P.
So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.
You can also just write y=1x+4 as y=x+4.
Testing the points:
(-4,2)?
Does y=x+4 for this point? 2=-4+4 which gives us 2=0 so no for this point.
(-1,3)?
Does y=x+4 for this point? 3=-1+4 which gives us 3=3 so yes for this point.
(-2,2)?
Does y=x+4 for this point? 2=-2+4 which gives us 2=2 so yes for this point.
(4,2)?
Does y=x+4 for this point? 2=4+4 which gives us 2=8 so no for this point.
(-5,-1)?
Does y=x+4 for this point? -1=-5+4 which gives -1=-1 so yes for this point.
So we have (-1,3), (-2,2) and (-5,-1).
Answer:BCE
Step-by-step explanation:I jus did it on EDGE
Marcel is nearing graduation. He just met with his counselor and she showed him this information.
Marcel’s College Costs & Payment Options per Year
Costs
Methods of Payment
Tuition & Fees
Grants & Scholarships
$12,500
$6,500
Room & Board
Work-Study
$8,200
$9,800
If he pays the balance with a student loan, how much will he need to borrow for his first year?
$4,400
$6,000
$10,900
$14,200
Answers
Answer:
The correct answer option is A. $4,400.
Step-by-step explanation:
Cost of the tuition and fees for 1 year = $12,500
Grants and scholarships for 1 year = $6500
Cost of room and board for 1 year = $8200
Cost for work study for 1 year = $9800
So basically, Marcel pays = (tuition and fees + cost of room and board)
= $12,500 + $8,200 = $20,700
He can pay through the (grants and scholarships + cost for work-study) = $6,500 + $9,800 = $16,300
Therefore, Marcel needs to borrow = $20,700 - $16,300 = $4,400
Answer:
The answer is A
Step-by-step explanation:
Select the correct answer from the drop-down menu.
Consider the equations y=√x and y=x² -1
The system of equations is equal at approximately
A.(1.5,1.2)
B.(-1.5,-1.2)
C.(1.5,-1.2)
D.(-1.5,1.2)
Answers
Answer:
Choice A.
Step.-by-step explanation:
y=√x
y=x² -1
Substituting the values in choice A:
1.2 = √1.5 = 1.2247 Approximately equal.
1.2 = (1.5)^2 - 1 = 1.25 Approximately equal.
Choice B.
-1.2 = √-1.5 which is imaginary so NOT this one.
Choice C
-1.2 = √1.5 = -1.2247
-1.2 = (1.5)^2 - 1 = 1.25 NO.
Choice D
We have the non real value √-1.5 again so NOT this one.
Answer: Option A
A.(1.5,1.2)
Step-by-step explanation:
We have the following system of equations
[tex]y=\sqrt{x}[/tex]
[tex]y=x^2 -1[/tex]
the solution of the system will be all points that satisfy both equations at the same time
For (1.5,1.2)
[tex]y=\sqrt{1.5}=1.2[/tex]
[tex]y=(1.5)^2 -1=1.2[/tex]
Both equations are satisfied
Note that we can discard options B and D because the domain of the equation [tex]y =\sqrt{x}[/tex] does not include the negative numbers.
We can discard option C because the range of the function [tex]y =\sqrt{x}[/tex] does not include the negative numbers.
Finally the answer is the option A
Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.y=2/3x+4
Answers
Answer:
My blue dot is the y-intercept.
My red dot is my x-intercept.
Please look at the graph.
Step-by-step explanation:
I can show you my graph and mark it where the x-intercepts and y-intercepts are.
Let's begin.
We have y=2/3 x+4.
Compare this to the slope-intercept form, y=mx+b where m is the slope and b is the y-intercept.
You should see that m=2/3 and b=4.
This means the slope is 2/3 and the y-intercept is 4.
Don't forget slope means rise/run.
So once we graph 4 (plot a point) on the y-axis, then we will use our slope to get to one more point. The slope here tells us to rise 2 and run 3.
Now sometimes our graph is not accurate when drawing by hand so there is a way without graphing that you can find the x- and y-intercepts.
The x-intercept is when the y-coordinate is 0.
The y-intercept is when the x-coordinate is 0.
So to find the x-intercept, I'm going to set y to 0 and solve for x. Like so,
0=2/3 x +4
Subtract 4 on both sides:
-4=2/3 x
Multiply both sides by the reciprocal of 2/3 which is 3/2:
3/2 (-4)=x
Simplify:
-12/2=x
Simplify:
-6=x
Symmetric Property:
x=-6
So the x-intercept is (-6,0).
I actually already have the y-intercept since my equation is in y=mx+b (slope-intercept form). But if it wasn't you could just set x to 0 and solve for y. Like so:
y=2/3 (0)+4
y=0+4
y=4
The y-intercept is (0,4).
Let's go to our graph now.
Answer:
After I had submitted my answer it gave me this answer
Step-by-step explanation:
Which graph represents y= sqrtx-4
Answers
Answer:
B
Step-by-step explanation:
The function is
[tex]y=\sqrt{x-4}[/tex]
use the graph tool to visualize the graph as below
Answer:
B
Step-by-step explanation:
The given equation is :
[tex]y=\sqrt {x-4}[/tex]
This is a equation of a half parabola because general equation of a parabola with its as x-axis is:
[tex]y^2={x-a}[/tex]
Where a is the vertex of the parabola. If square root is taken, then there will be one positive and one negative. So,
The positive represents the upper side of the parabola.
Hence, [tex]y=\sqrt {x-4}[/tex] represents upper parabola with x -axis is its axis and vertex at (4,0). Option B is correct.
If Lee Trucks buys at cost a truck for $10,000 and plans
to sell it for $12,000, the percent markup on cost is:
O
16.5%
o 25%
20%
o none of the above
Answers
Answer:
20% markup
Step-by-step explanation:
10,000 x 1.20 = 12,000
Answer:
20%
Step-by-step explanation:
10,000×120%=12,000
What are the zeros of f(x) = x2 - 12x + 36?
O
A. x= -6 and x = 6
O
B. x=-6 only
O
c. x= 6 only
O
D. x= -4 and x = 9
Answers
Answer:
c. x = 6 only
Step-by-step explanation:
In order to calculate the zeros of f(x), we need to set it equal to zero and find the corresponding values of x.
[tex]x^{2}-12x+36=0[/tex]
Using the midterm breaking, we can split -12x into two such terms whose sum will be -12x and product will be 36x². These two terms are -6x and -6x
So, the above expression can be written as:
[tex]x^2-6x-6x+36=0\\\\ x(x-6)-6(x-6)=0\\\\ (x-6)(x-6)=0\\\\ (x-6)^{2}=0\\\\ x-6=0\\\\ x=6[/tex]
This means, the zero of f(x) occurs at x = 6 only.
A mouse traveled a total distance of 3/24 of a mile in a maze over the past three hours the mouse travel the same distance each hour to determine the distance that the mouse traveled age our map reformed the calculations below he concluded that the mouse travel 3/8 of a mile each hour what is Matt’s error
Answers
Answer:
Total distance mouse traveled in 3 hours = [tex]\frac{3}{24}[/tex] of a mile
The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.
So, the distance traveled in one hour will be = [tex]\frac{3}{24} \div 3 = \frac{3}{24} \times \frac{1}{3} =\frac{1}{24}[/tex] of a mile
The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.
Correct conclusion will be: Mouse travel 1/24 of a mile each hour
Answer:
Matt should have divided 3 by 3, not 24 by 3. (C.)
Step-by-step explanation:
since its a whole number you do not divide it at all.
Also:
factor the expression 4r^2 - 64
Answers
Answer:
4(r+4)(r-4)
Step-by-step explanation:
If you factor it out, then it will be 4(r+4)(r-4). You can double check by multiplying it.
For this case we must factor the following expression:
[tex]4r ^ 2-64[/tex]
We take common factor 4:
[tex]4 (r ^ 2-16)[/tex]
We factor the expression within the parenthesis:
[tex]4 [(r-4) (r + 4)][/tex]
Finally we have that the factored expression is:
[tex]4 [(r-4) (r + 4)][/tex]
Answer:
[tex]4 [(r-4) (r + 4)][/tex]
Subtract h + 3 from 6h + 1.
Enter your answer in the box.
Answers
Answer:
5h -2
Step-by-step explanation:
(6h + 1) - (h+3)
= 6h + 1 - h -3
= 5h -2
6h +1 - h+3
Subtract like terms:
6h - h = 5h
1-3 = -2
The answer becomes 5h-2
Which of the following functions has a graph that is a line?
f(x) = x
f(x) = x2
f(x) = |x|
Answers
Answer:
f(x) = x
Step-by-step explanation:
f(x) = x is of the form y = mx + b.
y = mx + b is the slope-intercept form of the equation of a line, so its graph is a line.
f(x) = x^2 has a variable to the second power, so its graph is a parabola, and not a line.
f(x) = |x| has an absolute value, so its graph is shaped like a V. It is not a line.
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
Answers
Answer:
I believe it's A, because all triangles have 3 vertices.
Step-by-step explanation:
Answer:
Figure A
Step-by-step explanation:
We are given that a statement
''If is is an triangle , then it has three vertices.
We have to find that which diagram represents the given statement
From first diagram
If triangle then it have three vertices because intersection of triangle and three vertices is triangle.
From second diagram
Intersection region of three vertices and triangle is three vertices.
So, from second diagram we cannot say if a triangle then it has three vertices.
Hence, figure A represent the given statement.
What is angle DFE? 119 42 19 78
Answers
Answer:
∠DFE=119°
Step-by-step explanation:
step 1
Find the measure of angle BFD
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
∠BFD=(1/2)[arc BD+arc CE]
substitute the given values
∠BFD=(1/2)[38°+84°]
∠BFD=61°
step 2
Find the measure of angle DFE
we know that
∠BFD+∠DFE=180° -----> linear pair (supplementary angles)
substitute
61°+∠DFE=180°
∠DFE=180°-61°=119°
The table shows some values of f(x) and g(x) for different values of x:
Complete the chart and determine the solution of the equation f(x) = g(x).
A.x=-1
B.x=0
C.x=2
D.x=25
the table picture is on top
please help
Answers
C. x=2
Step-by-step explanation:To complete the table, let's plug in the x-values into [tex]f(x)[/tex] and [tex]g(x)[/tex], so:
For [tex]f(x)[/tex]:
[tex]If \ x=0: \\ \\ f(0)=9(0)+7=7 \\ \\ \\ If \ x=1: \\ \\ f(1)=9(1)+7=16 \\ \\ \\ If \ x=2: \\ \\ f(2)=9(2)+7=25[/tex]
For [tex]g(x)[/tex]:
[tex]If \ x=-2: \\ \\ g(-2)=5^{-2}=0.04 \\ \\ \\ If \ x=-1: \\ \\ g(-1)=5^{-1}=0.2 \\ \\ \\ If \ x=2: \\ \\ g(2)=5^{2}=25[/tex]
From this, the complete table is:
[tex]\left|\begin{array}{c|c|c}x & f(x)=9x+7 & g(x)=5^{x}\\-2 & -11 & 0.04\\-1 & -2 & 0.2\\0 & 7 & 1\\1 & 16 & 5\\2 & 25 & 25\end{array}\right|[/tex]
From the table, you can see that [tex]f(x)=g(x)=25[/tex] when [tex]x=2[/tex] so the correct option is C. x=2. But what does [tex]x=2[/tex] mean? It means that at this x-value, the graph of the linear function [tex]f(x)[/tex] and the graph of the exponential function [tex]g(x)[/tex] intersect and the point of intersection is [tex](2,25)[/tex]
Solve the equation.
5/6 x-4 = -2
Answers
Answer:
2 2/5
Step-by-step explanation:
5/6 x-4 = -2
Add 4 to each side
5/6 x-4+4 = -2+4
5/6 x = 2
Multiply by 6/5 to isolate x
6/5 *5/6 x = 6/5 *2
x = 12/5
Changing this from an improper fraction
5 goes into 12 2 times with 2 left over
x = 2 2/5
How do you convert 2/11 into a decimal ?
Answers
Answer:
you would divide the two numbers. 2 divided by 11 is 0.18
Answer:
0.181818182 or rounded is 0.18
Step-by-step explanation:
to turn any fraction into a decimal you always do numerator divided by denominator
There are 30 contestants playing a game. Off the 30, 16 are men and 20 are wearing glasses. If all of the women are wearing glasses, what is the probability that when a contestant's name is randomly pulled from the hopper, it is a man wearing glasses?
Please help!!!!!!!
Answers
Answer:
1/5
Step-by-step explanation:
There are 30 contestants. 16 are men, which means 14 are women.
All 14 women wear glasses. Since 20 of the contestants wear glasses, that means there are 6 men who wear glasses.
So the probability that a randomly selected contestant will be a male with glasses is 6/30 or 1/5.
in the diagram below what is the approximate length of the minor arc DE
Answers
Answer:
C. 52 cm
Step-by-step explanation:
A full circle has a degree measure of 360 degrees.
Minor arc DE is intercepted by a central angle of 120 degrees.
120 degrees is 1/3 of 360 degrees, so the length of minor arc DE is 1/3 of the circumference of the circle.
length of minor arc DE = (120/360) * 2 * pi * r
length of minor arc DE = (1/3) * 2 * 3.14 * 25 cm
length of minor arc DE = 52.3333... cm
Answer:
the correct answer is 52.
Step-by-step explanation:
I just got it correct.
Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?
A. 111.65
B. 119.84
C. 21.65
D. 135.53
Answers
Answer:
A. 111.65
Step-by-step explanation:
This scenario can be interpreted like a triangle ABC where A and B are islands and C is the point from where the captain is 160 miles from island B.
a = 160
b = 260
c = 250
Law of cosines
[tex]c^2 = a^2 + b^2 - 2(ab)Cos(C)\\Arranging\ as\\2ab \ cos\ C = a^2+b^2-c^2\\2(160)(260)\ cos\ C = (160)^2+(260)^2- (250)^2\\83200\ cos\ C=25600+67600-62500\\83200\ cos\ C=30700\\cos\ C= \frac{30700}{83200}\\cos\ C=0.36899\\C = arccos\ (0.36899)\\C = 68.35[/tex]
The internal angle is 68.35°
We have to find the external angle to find the bearing the captain should turn
Using the rule of supplimentary angles:
The external angle = 180 - 68.35 = 111.65°
Therefore, the captain should turn 111.65° so that he would be heading straight towards island B.
Hence, option 1 is correct ..
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
AB = 250 feet
AC = 260 feet
BC = 160 feet
We need to find the angle C that is heading straight towards island B.
We will apply "Law of cosine":
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}\\\\\cos C=\dfrac{160^2+260^2-250^2}{2\times 160\times 260}\\\\\cos C=0.368\\\\C=\cos^{-1}(0.368)\\\\C=68.40^\circ[/tex]
Exterior angle would be
[tex]180-68.40=111.65^\circ[/tex]
Hence, Option 'a' is correct.
what is the solution to the inequality 3t+9>15
Answers
Answer:
t>2
Step-by-step explanation:
We are given:
3t+9>15.
Subtract 9 on both sides:
3t+9-9>15-9
Simplify:
3t+0>6
3t>6
Divide both sides by 3:
t>6/3
Simplify:
t>2
Answer:
t > 2.
Step-by-step explanation:
3t + 9 > 15
3t + 9 - 9 > 15 - 9
3t > 6
t > 2.
Use the inverse relationship to complete the expression.
If i =
-1, then i^2=
Answers
Answer:
-1 edge
Step-by-step explanation:
...
1st-1
2nd –i
I just did it on edge :D
Find the inverse of 9^3/2
Answers
No Solution
Brainliest Please :)
Answer:
6
Step-by-step explanation:
9^3 ÷2 the inverse is 9÷3×2 =9÷3=3×2=6 the answer is 6
Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly? (2 points)
Answers
Answer:
The value of f[ g(x) ] = 7x + 27
Step-by-step explanation:
It is given that, f( x ) = 7x + 13 and g( x ) = x + 2
To find the value of f(g(x))
g(x) = x + 2 and 7x + 13 (given)
Let g(x) = x + 2
f [ g(x) ] = 7(x + 2) + 13 [ substitute the value of g(x) in f(x) ]
= 7x + 14 + 13
= 7x + 27
Therefore the value of f[ g(x) ] = 7x + 27
-3(8/9)÷66.9[9(-8.9+9/5).01]
i neeeed help or il fail the 6weeks
Answers
The answer of -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] is 0.06237948089
Step-by-step explanation:
To solve this problem -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] we must start with
1. Solve this bracket [9 (-8.9 + 9/5) .01] at first
2. Multiply the answer of the bracket by 66.9
3. Multiply -3(8/9) and divide the answer by the product of the previous
step
In [9 (-8.9 + 9/5) .01]
∵ (-8.9 + 9/5) = (-8.9 + 1.8) = -7.1
∴ [9 (-8.9 + 9/5) .01] = [9 (-7.1).01]
∵ 9(-7.1)(.01) = -0.639
∴ [9 (-8.9 + 9/5) .01] = -0.639
∵ 66.9 [-0.639] = -42.7491
∵ [tex]-3(\frac{8}{9})=\frac{-8}{3}[/tex]
∴ -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] = [tex]\frac{-8}{3}[/tex] ÷ -42.7491
∴ -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] = 0.06237948089
The answer of -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] is 0.06237948089
Learn more:
You can learn more about decimals in brainly.com/question/1774450
#LearnwithBrainly
Use the graph of the line to answer the questions.
What is an equation of the line in point-slope form?
How can the point-slope form be written in function notation?
Answers
Answer:
[tex]y+1=\dfrac{1}{3}(x+2)[/tex] - point-slope form
[tex]f(x)=\dfrac{1}{3}x-\dfrac{1}{3}[/tex] - function notation
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points (-2, -1) and (1, 0).
Substitute:
[tex]m=\dfrac{0-(-1)}{1-(-2)}=\dfrac{1}{3}[/tex]
[tex]y-(-1)=\dfrac{1}{3}(x-(-2))[/tex]
[tex]y+1=\dfrac{1}{3}(x+2)[/tex] - point-slope form
[tex]y+1=\dfrac{1}{3}(x+2)[/tex] use the distributive property
[tex]y+1=\dfrac{1}{3}x+\dfrac{2}{3}[/tex] subtract 1 = 3/3 from both sides
[tex]y=\dfrac{1}{3}x-\dfrac{1}{3}[/tex]
Answer:
Point slope form : [tex]y-0=\frac{1}{3}(x-1)[/tex]
Function notation : [tex]f(x)=\frac{1}{3}(x-1)[/tex]
Step-by-step explanation:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the point slope form of line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that he line passes through the points (-2,-1) and (1,0). Slope of the line is
[tex]m=\frac{0-(-1)}{1-(-2)}=\frac{1}{3}[/tex]
The point is (1,0) and slope is 1/3. So, the point slope form of the line is
[tex]y-0=\frac{1}{3}(x-1)[/tex]
[tex]y=\frac{1}{3}(x-1)[/tex]
Therefore the point slope form is [tex]y-0=\frac{1}{3}(x-1)[/tex].
Replace y by f(x) to write the equation in function notation.
[tex]f(x)=\frac{1}{3}(x-1)[/tex]
Therefore the function notation is [tex]f(x)=\frac{1}{3}(x-1)[/tex].
NEED HELP ASAP!!!
Given:
a | | b, c | | d
Prove:
m1 = m16
*Look at graphs attached*
Which of the following would be the reasons for statements 3 and 4 in the proof?
A. Vertical angles are equal.
B. If lines are ||, corresponding angles are equal.
C. If lines are ||, alternate interior angles are equal.
D. If lines are ||, alternate exterior angles are equal.
Answers
Answer:
3 and 4: B
Step-by-step explanation:
As per the property of traversal lines, when two parallel lines are cut by traversal then the corresponding angles formed are equal.
In given case ∠6 is corresponding angle of ∠8 and ∠8 is corresponding to ∠18.
Hence option B is correct for 3 and statements!
If lines are ||, corresponding angles are equal.
Answer:
If lines are ||, corresponding angles are equal.
Step-by-step explanation:
yep