Answer:
1. the slope is 4
2. the y intercept is 0
3. the equation of the line is y=4x
Step-by-step explanation:
First let's find the slope of the line (m)
Let's use the formula (y2-y1)/(x2-x1)
here are the points: (2,8) and (3,12)
let's label them
x1=2
y1=8
x2=3
y2=12
now substitute into the equation.
m=(12-8)/(3-2)
m=4/1
m=4
The slope of the line is 4.
Now, to find the y intercept:
You might have noticed that to go from (2,8) to (3,12), you add 1 to x and 4 to y.
Therefore, to find the y intercept, where the line crosses the y axis, you can first subtract 1 from x and 4 to y to get another point that fits on the line (1,4) and then again to get the point: (0,0)
therefore, the y intercept is 0
the most common method of the equation of the line is y=mx+b, where m is the slope and b is the y intercept
therefore the equation of the line is y=4x+0 or y=4x
Hope this helps!
A line intersects the point (0, -11)
and has a slope of 0. What is the
slope-intercept equation for this line?
y = [?]
Answer:
The slope-intercept equation having slope is '0' and intercept c= -11
y = 0 x - 11
Step-by-step explanation:
Explanation:-
Given a point ( 0,-11) and has a slope m= 0
The equation of the straight line
y - y₁ = m ( x-x₁ )
y - (-11) = 0 (x -0)
y +11 = 0
y = -11
During a food drive, a local middle school collected 8,872 canned food items. Each of the 33 classrooms that participated in the drive donated about the same number of items. Estimate the number of items each classroom donated.
Each class donated about_________ cans
Answer: 321
Your explanation
There where 28 classrooms that donated. If we are to estimate the total, then we must round the canned items. They're 8982 canned items. If you round that number, you get 9000. So you want to divide 9000 and 28.
To determine which side of a linear inequality to shade in for its graph, you should pick a point on one side of the dashed or solid line and plug its coordinates into the original inequality. If the coordinates satisfy the inequality, you should shade in that half of the plane. A. True B. False
Answer:
False
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
....................
Find the values of X and why in the following equation.
(x+yi)+(4+9i)=9-4i
Answer:
The values of x and y are x = 5 and y = -13 ⇒ B
Step-by-step explanation:
If the complex numbers are A = (a + bi) and B = (c + di), then
A + B = (a + c) + (b + d)i
(a + c) is the real part(b + d) is the imaginary partLet us solve the question
∵ (x + yi) + (4 + 9i) = 9 - 4i
→ Add the real parts and the imaginary parts on the left side
∵ x, 4 are the real parts, and y and 9 are the imaginary parts
∴ (x + 4) + (y + 9)i = 9 - 4i
→ Compare the two sides, and equate the like terms
∵ 9 is the real part and -4 is the imaginary part
∴ x + 4 = 9
→ Subtract 4 from both sides
∴ x + 4 - 4 = 9 - 4
∴ x = 5
∵ y + 9 = -4
→ Subtract 9 from both sides
∵ y + 9 - 9 = - 4 - 9
∴ y = -13
Answer:
x = 5 and y = -13
Step-by-step explanation:
find the value of a so tha the lines represented by 2x+3y=7 and x-8y=7 are perpendicular
Answer:
y = -5, x = 4
The value of a are; a = 6
Since Perpendicular lines have a slope that is negative reciprocal of each other. There product = -1
Solve both equations for y.
2x+3y=7 x-8y=7
3y = ax + 7 8y = -4x + 2
y = ax/3 + 8/3 y = -4x/8 + 2/8
y = a/3(x) + 8/3 y = -1/2(x) + 1/4
Now we know that the slope;
y = -1/2(x)+ 1/4 is -1/2
Then the slope of y = a/3(x) + 8/3 is a/3.
Now the value of "a" will make the lines perpendicular.
You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal.
Thus remember that the slope is the coefficient of the x term.
Now a/3 = 2 ; a = 6
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ1
What does the slope tell us to do in this equation? y =-4/11x +6
Answer:
the slope tells you that the line will be a negative slope
1 What is the RANGE for the following graph?
PLEASE HELP 25 POINTS
Find x and y so the quadrilateral is a parallelogram.
9514 1404 393
Answer:
x = 7y = 4Step-by-step explanation:
The diagonals of a parallelogram cross at their midpoints. This means the segments of each diagonal are equal in length:
RT = PT
x = 5x -28
28 = 4x . . . . . add 28-x
7 = x . . . . . . . .divide by 4
__
QT = ST
5y = 2y +12
3y = 12 . . . . .subtract 2y
y = 4 . . . . . . divide by 3
The values of x and y that make the figure a parallelogram are x=7 and y=4.
Please answer this question
please help me please will give brainliest
show all your work thank you
Answer:
Perimeter: 52 Area: 181-16i?
Step-by-step explanation:
Perimeter
The formula for perimeter is 2l+2w, so you plug in the binomials they give you:
2(11-4i)+2(15+4i)
expand:
22-8i+30+8i
combine like terms (which cancels out 8i and -8i):
22+30=52
Area
"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.
Here's what I did to get 181-16i, in any case:
The formula for area is l*w, so I plugged in the numbers:
(11-4i)(15+4i)
expanded:
165+44i-60i-16i*i
and combined like terms:
181-16i
*i is [tex]\sqrt{-1}[/tex], so [tex]i^{2}[/tex]=-1 and -1*-16=16.
Help me with this please
Answer:
B
Step-by-step explanation:
Every time X increases by 1, Y increases by 2 which is consistent
A rectangular prism has a height of 16 inches. The base of the prism has an area of 35 square inches. What is the volume of the prism? Enter your answer in the box.
Answer:
560
Step-by-step explanation:
Is this correct need help ASAP!!
What’s the area of the figure?
Answer:
Step-by-step explanation:
14x12=168
8x12=96/2=48
48+168=216
plz brainliest
sharia has a full time job and earns 475$ each week but she starts looking for ways to increase her weekly earnings . sharia finds a part-time job which would pay 11$ per hour. How many hours would sharia need to work each week at the part-time job in order to raise total weekly income to at least $600?
Answer:
12 hours
Step-by-step explanation:
Full time job:
Earning per week = $475
Part time job :
Earning per hour = $11
Number of working hours per week at per time job to increase weekly earning to atleast $600 ;
Let number of hours = h
Full time earning + earning per hour * (number of hours) ≥ 600
$475 + ($11 * h) ≥ 600
$475 + $11h ≥ 600
11h ≥ 600 - 475
11h ≥ 125
h ≥ 125 / 11
h ≥ 11.36
Hence, sharia will need to work for 12 hours per week
What fraction of an hour is 22 minutes
Answer:
60 min in an hour
22/60-simplify
11/30 is the answer
1 hour = 60 minutes
=> 22/60
=> 11/30 minutes
Find the missing angle
Answer:
28 degrees
Step by step explanation :just add both number then subtract by 180 and you will find the missing angle
What is the sum of 4z -5y + z + y? Represent the sum by beginning with the z term of your sum. DO NOT INCLUDE SPACES.
Answer:
-4y+5z
Step-by-step explanation:
50 points
From the graph of the function, determine the domain and the range.
Domain: [–4, 4] Range: [0, 4]
Domain: [0, 4] Range: [0, 4]
Domain: [0, 4] Range: [–4, 4]
Domain: (–4, 4) Range: (0, 4)
Answer:
Domain: [–4, 4] Range: [0, 4]
Step-by-step explanation:
Since the circles are closed that means the value will be in brackets.
We see how the graph goes from -4 to 4 in the x axis indicating that the domain will be [-4, 4]
PLZ HELP!!!!
If a vertical parabola opens downward, has its vertex in the fourth quadrant,
and y =ax +bx +c is the equation of this parabola, which of the following
can be true?
a 0, b >0, and c >0
a >0, b 0
a 0, and c >0
a 0, and c 0, b 0
a >0, b >0, and c <0
Answer:
False
Step-by-step explanation:
A nonlinear function that can be written on the standard form
ax2+bx+c,wherea≠0
is called a quadratic function.
All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
y=x2
picture51
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
x=−b2a
The y-coordinate of the vertex is the maximum or minimum value of the function.
a > 0 parabola opens up minimum value
picture52
a < 0 parabola opens down maximum value
picture53
A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.
The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
x=−b2a
The y-intercept of the equation is c.
picture54
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.
Example
Graph
x=x2+2x+1
Make a table of value for some values of x. Use both positive and negative values!
x y = x2 + 2x + 1
-3 4
-2 1
-1 0
0 1
1 4
2 9
3 16
Graph the points and draw a smooth line through the points and extend it in both directions
picture55
Notice that we have a minimum point which was indicated by a positive a value (a = 1). The vertex has the coordinates (-1, 0) which is what you will get if you use the formula for the x-coordinate of the vertex
x=−b2a=−22⋅1=−1
and that the line has an y-intercept of (0, 1) which could have been determined from the c-value which is 1.
If you have an absolute value of a that is greater than 1 the parabola will be narrower than the parental quadratic function. And the opposite that if you have a absolute value of a that is less than 1 then the parabola will be wider than the parental quadratic function.
The vertical parabola opens downward, has its vertex in the fourth quadrant, and y = ax + bx +c is the equation of this parabola given conditions none of them is true.
A nonlinear function that can be written on the standard form
[tex]ax^{2} + bx +c = 0 where (a\neq 0)[/tex]
This called a quadratic function.
All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is'
[tex]y = x^{2}[/tex]
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate .
x = −b2a
The y coordinate of the vertex is the value maximum or minimum of the function.
a > 0 parabola opens up minimum value
a < 0 parabola opens down maximum value
A rule of thumb reminds us that when we have a positive symbol before we get a happy expression on the graph and a negative symbol renders a sad expression.
The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
x = −b2a
The y-intercept of the equation is c.
[tex]XY = x^{2} +2X +1[/tex]
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.
[tex]x = x^{2} +2x+1[/tex]
Make a table of value for some values of x. Use both positive and negative values!
This is the points lies on parabola
-3 4-2 1
2 9
3 16
Graph the points and draw a smooth line through the points and extend it in both directions.
Notice that we have a minimum point which was indicated by a positive a value (a = 1). The vertex has the coordinates (-1, 0) which is what you will get if you use the formula for the x-coordinate of the vertex
x =−b2a =−22⋅1 =−1
And that the line has an y-intercept of (0, 1) which could have been determined from the c-value which is 1.
If you have an absolute value of a that is greater than 1 the parabola will be narrower than the parental quadratic function. And the opposite that if you have a absolute value of a that is less than 1 then the parabola will be wider than the parental quadratic function.
For more information about basics of parabola click the link given below .
https://brainly.com/question/13053904.
find the x-intercept of x - 4y= -8
find the area please
Answer:525 to find area multpi all sides
Step-by-step explanation: can i have brainlst since i helped you
Answer: d.
Step-by-step explanation: 7x15= 105x5= 525
PLEASE HELP WILL GIVE BRAINLIEST!! If K is the midpoint of JL, JK=9x-1, and KL=2x+27, find JL.
A. 35
B. 70
C. 62
D. 48
Answer:
A, 35
Step-by-step explanation:
9x - 1 = 2x + 27
7x - 1 = 27
7x = 28
7x/7 = 28/7
x = 4
and now we plug it in,
9x - 1
9(4) - 1
36 - 1
35
and for the second point,
2x+27
2(4)+27
8+27
35
Hope this helps. Sorry this is a late response.
Solve the equation for y. y-x=5
y - x = 5
y = x + 5
Hope this helps! :)
Answer:
Hi! The correct answer is y=5+x!
Step-by-step explanation:
~Add x to both sides of the equation~
Question 1 of 10
What is the simplified form of the rational expression below?
5x -5
3x +3X
A.
5(x-1)
3
B.
5(x - 1)
3X
C.
5(x + 1)
3x
D.
5(x + 1)
3
Answer:
b. if it asks for the answer it's -45x
Step-by-step explanation:
Draw the image of △ABC, under a translation by 2 units down.
Answer:
Point C would now be (6,0)
Point B would now be (0,-7)
Point A would now be (2,-6)
If a coin has been flipped five times and it’s all tails, will the next one be heads?
Please use mathematic sentences and explain why.
Answer:
Not necessarily. The next flip has a 50/50 chance of landing on heads, just as the other ones.
Step-by-step explanation:
So I’ve been having quite a lot of trouble with theese questions lately and I was wondering if anyone could help me
3x + 2y - 2x + y + 12 —> x + 3y + 12
4y + 3y + 3x - 6y - 10 -2 —> 3x + y - 12
12 - 3y - 2x + x + 2x —> x - 3y + 12
x + 3y + 2x - 3x + 7 + 5 —> 3y + 12
Describe fully the single
transformation that maps
triangle A onto triangle B
Total marks: 2
pls don’t answer if you don’t know
Answer:
The single transformation that maps triangle A onto triangle B is a reduction by a scale factor of 1/2 with the center of reduction at (1, 2)
Step-by-step explanation:
In order to locate the center of reduction from triangle A to triangle B, straight lines are drawn from the corner of triangle A to the corresponding corner of triangle B. The lines drawn will intersect at the center of reduction as shown in the attached drawing created with Microsoft Word
plz help so i can pass
Answer:
13
Step-by-step explanation:
this is the pythagorean theorem
