Solve the system of equations by graphing.
y = 2x + 5
y = -1/2x
Where do the two lines cross?
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Related Questions
Explain why the graph above represents a function.
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You earned a 90% on a test if there are 30 questions how many did you answer correctly?
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You got 27 questions correct
Hope this helps
Answer:
27
Step-by-step explanation:
you can do cross multiplication
90/100 = x/30
100x=2700
x=27
PLEASE HELP! I REALLY NEED THESE ANSWERS!
A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).
a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum
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Answer:the triangle has (2,) and (0, 4) as its vertices for a maximum area
Step-by-step explanation:let P(x,0) be the x-intercept and Q(0,y) be the y-intercept
label (1,2) as A(1,2)
the slope AP = slope AQ
-2/(x-1) = (2-y)/1
2x - xy - 2 + y = -2
y(1-x) = -2x
y = -2x/(1-x) or 2x/(x-1)
H^2 = x^2 + y^2
= x^2 + ( (2x/(x-1) )^2 --- simplify if needed
(don't know why we are finding the hypotenuse ? )
Area of triangle OPQ
= (1/2)base x height
= (1/2)xy
= (1/2)x(2x/(x-1))
= (1/2) (2x^2/(x-1) )
dA/dx = (1/2) [ (x-1)(4x) - 2x^2(1) ]/(x-1)^2
= (1/2) [ 4x^2 - 4x - 2x^2 ]/(x-1)^2
= 0 for a max of A
2x^2 - 4x = 0
x(2x-4) = 0
x=0 ---- > makes no sense, look at diagram
or
x = 2
then y = 2(2)/(2-1) = 4
the triangle has (2,) and (0, 4) as its vertices for a maximum area
Answer:
Heyyyy
Step-by-step explanation:
What is the range of f(x) = 2(x+3)^2 + 1?
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Answer:
Range: [1, ∞)
Step-by-step explanation:
[tex]f(x)=2(x+3)^2+1[/tex]
Range: [1, ∞)
Posting this here because why not, it's not like anybody will do it.
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Answer:
1. 264
2. degree: 6, term: 3xy^5
3. -60x^3-2x^2+9x
4. 6mn^3-4m
5. 8x^3-4x+2
6. -x^2-6x-13
Step-by-step explanation:
ltfdeyuhcfdgxtsrt867uojl,
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Answer:
2q=8
q=4
Step-by-step explanation:
hope that helped you
Answer:
8q + 1 = 6q + 9
2q + 1 = 9
2q = 8
q = 4
Which equation represents a nonlinear function?
Help please!!!
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Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.
Plz help due tomorrow if correct ill give brailiest
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i’m stuck on these questions
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Answer:
In my opinion both of the lines are tangent.
Step-by-step explanation:
Because a tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
What is the slope of this line?
2/3 1/3 -1/3 -2/3
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Answer:
2/3
Step-by-step explanation:
Two points on this line are (0, -3) and (6, 1).
Going from the first to the second, we see a change in x of 6 units and a change in y of 4 units. The slope of the line is thus m = rise / run = 4/6 = 2/3
Solve the equation
(x/x+2) - (4/x-2) = 1
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Answer:
[tex]\bold{x=-\dfrac23}[/tex]Step-by-step explanation:
[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]
The solution to the equation is x = -2/3.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].
Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]
Hence, the solution to the equation is x = -2/3.
Learn more about equations here:
https://brainly.com/question/10413253
#SPJ5
Find the greatest common factor of 8m and 12m^3
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What is the solution of the equation y + 7.63 = 12.001
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Answer:
[tex]y = 12.001 + 7.63 = 19.631[/tex]
Hope it helps
a line has this equation:y=1/4x-1. what’s a perpendicular line that goes through (3,-8)
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Answer:
y = -4x + 4
Step-by-step explanation:
y = (1/4)x - 1
m = (1/4)
Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/4)
[tex]= (-1)*\frac{4}{1}\\\\=-4[/tex]
(3 , -8)
y - y1 =m(x -x1)
y -[-8] = -4(x - 3)
y + 8 = -4x + 12
y = -4x + 12 - 8
y = -4x + 4
Using the graph, determine the coordinates of the roots of the parabola
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Answer:
two points
Step-by-step explanation:
x intercepts
A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .
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Answer:
2x+30
Step-by-step explanation:
Plz Help Cuz it Worth A Hunid Points
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Answer:
1. 30
2. x<-72
3. 7b=63
4. x=3.2
5. 1/10
Step-by-step explanation:
1. Substitute a for 10
2(150/10)
2*15
30
2. Think of it like a normal equation
x/4<-18
x<-18*4
x<-72
3. 7b=63
4. 2.5x=8
x=3.2
5. 1/5*1/2= 1/10
This is a trigonometry question
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Answer:
y = 8.49
Step-by-step explanation:
cos 45 = 6/y
0.7071 = 6/y
y = 8.49
HELP
Observe the graph below.
The graph shows a ___ function that is asymptotic to ____
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Answer:
The graph shows a LOGARITHMIC function that is asymptotic to X=1
Step-by-step explanation:
Katrin is making a poster for school elections. She draws a line 20.4 centimeters long across the poster board. She starts at one end of the line and makes a mark every 3.4 centimeters along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space? Explain how you know.
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I need help with this! I would like to have this answered in 5 hours if possible, 6 hours at max
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Answer:
60 = 45 + t
Step-by-step explanation:
Simplify the expression please!!
4( -2p + 8)
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There are 5 white roses to every 9 red roses in the garden
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Answer:
Step-by-step explanation:
ummm what there is no question!
(11 – 9)' – 2 x 4=
Please help
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Answer: 2 − 8x
Step-by-step explanation:
8=3a-4 please help quickly plssssssss
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Answer:
a = 4
Step-by-step explanation:
Answer: a=4
Step-by-step explanation:
For each of the following, select the correct words from the word bank to complete each statement.
Angles opposite one another that share a vertex are called
Answer
angles. When one of these angles undergoes a rigid transformation so that it fits exactly over the other, we know that the typ angles are
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When two parallel lines are crossed by another line called the
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the angles created inside the parallel lines but on opposite sides of the crossing line are called
Answer
Answer
angles. Angles of this type have the same measurement as one another. Two figures are
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if one can fit exactly over the other after rigid transformations and dilations.
corresponding
vertical
image
congruent
trasmission
transversal
perpindicular
alternate
exterior
interior
dissimilar
similar
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Answer:
Angles opposite one another that share a vertex are called vertical angles.
When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are congruent
When two parallel lines are crossed by another line called the transversal the angles created inside the parallel lines but on opposite sides of the crossing lines are called alternate interior angles. Angles of this type have the same measurement as one another. Two figures are similar if one can fit exactly over the other after rigid transformations and dilations
Step-by-step explanation:
Vertically opposite angles are always equal (congruent)
The transversal line is the line that crosses two or more parallel lines
Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent
Two plane geometric figures are similar if they their corresponding interior angles are congruent
-18=d+4 plZ hurry thank you so much have a great day
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Answer:
d = - 22
Step-by-step explanation:
- 18 = d + 4 ( subtract 4 from both sides )
- 22 = d
Someone please help with this math problem!!!
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Answer:
15
Step-by-step explanation:
i just need the answer lol
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Answer:
C and D
Step-by-step explanation:
They are both roots of the equation.
laura has a toy robot collection 4/7 of her robots makes noise how many of lauras robots make noise?
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Answer:
16 robots make noise
Step-by-step explanation: