Functions can be represented using equations, graphs and tables.
The function is given as:
[tex]a(l) = \frac 12 l^2[/tex]
When l = 1, we have:
[tex]a(1) = \frac 12 \times 1^2[/tex]
[tex]a(1) = 0.5[/tex]
When l = 2, we have:
[tex]a(2) = \frac 12 \times 2^2[/tex]
[tex]a(2) = 2.0[/tex]
When l = 3, we have:
[tex]a(3) = \frac 12 \times 3^2[/tex]
[tex]a(3) = 4.5[/tex]
When l = 4, we have:
[tex]a(4) = \frac 12 \times 4^2[/tex]
[tex]a(4) = 8.0[/tex]
Represent the above results as a table, we have:
l a(l)
1 0.5
2 2.0
3 4.5
4 8.0
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What is the slope of a line that is perpendicular to the line y = 1?
O-1
ОО
O 1
O undefined
Answer: D) Undefined
Explanation:
The equation y = 1 is the same as y = 0x+1
Match that to the form y = mx+b to see that the slope is m = 0
Any horizontal line has a slope of 0.
Notice that we cannot apply the negative reciprocal to this because 0 = 0/1 leads to 1/0 which is undefined
The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0. The rise can be any number you want (it doesn't have to be 1) and we get the same result.
The slope of a line that is perpendicular to the line y = 1 is undefined.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation y = 1 is the same as y = 0x+1
Match that to the form y = mx+b to see that the slope is m = 0
Any horizontal line has a slope of 0.
y = 1 is an vertical line.
The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0.
= Undefined
Hence, the slope of a line that is perpendicular to the line y = 1 is undefined.
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A rectangle has a width of 5 inches and a length of 9 inches. What will be the new dimensions of the rectangle after it is
dilated by a scale factor of 3?
O 8 inches by 12 inches
O 15 inches by 9 inches
O 15 inches by 27 inches
O 45 inches by 81 inches
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Answer:
the third one
Step-by-step explanation:
iiiieeeeew edgeuinty
Answer:
15 inch. By 27 inch.
Step-by-step explanation:
HELLPPPPPPP
please help
Answer:
i think that's A
I'm just guess
convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9
Answer:
I dont need
Step-by-step explanation:
what to convert
Acellus
Find the circumference of this circle
using 3 for n
C ~ [?]
3
C = 270
.
tell me if right plz
Answer:
yes
Step-by-step explanation:
Find the value of x
Answer:
x = 17
Step-by-step explanation:
The hash marks indicate that the segment marked x+2 connects the midpoints of the sides of the triangle. Therefore, it is a "midline" and has half the length of the parallel base.
x +2 = 1/2(38)
x = 19 -2 . . . . . subtract 2
x = 17
The line 2x + 3y = 8 meets the curve 2x^2 + 3y^2 =110 at the points A and B. Find the coordinates of A and B.
extra: This is the first time I’ve seen this type of question without a diagram. Pls help!
Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).
Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)
Substitute (3) into (2),
2 [(8 - 3y) / 2]² + 3y² = 110
(8 - 3y)² + 3y² = 220
15y² - 48y - 156 = 0
Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8
OR y = -2, then x = [8 - 3×(-2)] / 2 = 7
Answer:
The coordinates are A. (-3.8, 5.2) and B. (7, -2).
Step-by-step explanation:
At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:
2x^2 + 3y^2 = 110
2x + 3y = 8
From the above equation
x = (8 - 3y)/2
So substituting for x in the first equation:
2 [(8-3y)/2]^2 + 3y^2 = 110
(8-3y)^2 / 2 + 3y^2 = 110
Multiply through by 2:
(8 - 3y)^2 + 6y^2 = 220
64 + 9y^2 - 48y + 6y^2 - 220 = 0
15y^2 - 48y - 156 = 0
3(5y^2 - 16y - 52) = 0
(5y - 26)(y + 2) = 0
y = 26/5, 2
y = 5.2, -2.
So substituting in 2x + 3y = 8
When y = -2:
2x - 6 = 8
2x = 14
x = 7.
When y = 5.2
2x + 3(5.2) = 8
2x = 8 - 15.6 = -7.6
x = -3.8.
find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
Answer:
see explanation
Step-by-step explanation:
the translation rule (x, y ) → (2x, [tex]\frac{1}{3}[/tex] y )
means multiply the x- coordinate by 2 and multiply the y- coordinate by [tex]\frac{1}{3}[/tex] ), so
A (- 1, - 3 ) → A' (- 2, - 1 )
B (4, - 3 ) → B' (8, - 1 )
C (4, 3 ) → C' (8, 1 )
D (- 1, 3 ) → D' (- 2, 1 )
The students at the engineering conference ate more than 20 pizzas. The inequality x greater-than 20 represents the situation. Which graph represents the inequality?
A number line going from 15 to 25. An open circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. An open circle is at 20. Everything to the left of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the left of the circle is shaded.
Answer: Image A
Step-by-step explanation:
math
Answer:
A
Step-by-step explanation:
DETERMINE WHICH OF THE LINES ARE PARALLEL OR PERPENDICULAR thx sm
Answer:
Parallel: a and b
Perpendicular: none
Step-by-step explanation:
You are given the coordinates of each line.
To check if they are parallel or perpendicular, need to find slope.
In this case we can use :
m = (y2 - y1) / (x2 - x1)
So for line a:
(1,5) and (-2, -4)
slope = (-4 - 5) / (-2 - 1)
slope = -9/-3
slope = 3
Line b:
(3, 2) and (1, -4)
slope = (-4 - 2)/(1 - 3)
slope = -6/-2
slope = 3
Line C:
(6, 1) and (-4, 2)
slope = ( 2 - 1) / ( -4 -6)
Slope = 1/ -10
slope = - 1/10
Line A and B are parallel because their slopes are the same.
To check if they are perpendicular, we need to know if their slopes are reciprocals.
Here none of them are perpendicular to each other
Simplify each expression by filling in the box.
Answer:
1. (2^3)^3 = 2^x x=9
2. 4^x x = 6 5^y y= 9
3. 3^6/3^3 = 3^x x = 3
20 POINTS!!
Solve the equations. √x^2-6x+9=3-x, √9x^2=12x+4=3x+2
The root is under all the numbers before the equal sign
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=3/2
Decimal Form:
x=1.5
Mixed Number Form:
x =1 1/2
(-2,-4) reflected across the line y = -1
−x<−29 solve for X just please commet fast im on khan right now
Answer:
x > 29
Hope you level up in khan :)
[tex]-x <-29 <=>\frac{-x}{-1} >\frac{-29}{-1} <=>x >29[/tex]
Ok done. Thank to me :>
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
Answer: The answer to this inequality is C.
Please help with this !
In triangle QRS the measure of angle RSQ is 50 degrees , and the measure of angle QRS is 37 degrees. What is the measure of angle SQR in degrees?
Answer:
[tex] < rsq + < qrs + sqr = 180 \\ 50 + 37 + < sqr = 180 \\ < sqr = 180 - (50 + 37) \\ < sqr = 180 - 87 \\ = 93[/tex]
I hope it helps you
Use the algebra tiles to help you solve the equation. 4x-2=10
Answer:
The solution to this equation is x=3
Step-by-step explanation:
Sewing machine cost $162.40 after a price increase of 16% find the price before the increase
Answer:
$140
Step-by-step explanation:
100/116×$162.40=$140
Answer:
Before the increase it was $136.416.
Step-by-step explanation:
16% of $162.40 is 25.984.
We need to do $162.40 - 25.984 which equals to $136.416.
Hope that helps. x
Each car on a commuter train can seat 114 passengers. If the train has 7 cars how many passengers can it seat??
Help me!!!
What's 21 x 202
I need to know for my report
Answer:
4242
Step-by-step explanation:
Answer:
4242
Step-by-step explanation:
Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?
Answer:
15%
Step-by-step explanation:
[tex]\frac{138}{120}[/tex]×100=
1.15
115%
Increase in 15%
A school communoty had planned to reduce the number of grade 9 students per class room by constructing additional class room however they constructed 4 less rooms than they planned As the result tye number of students per class was 10 more than they planned if there are 1200 grade 9 students in the school determine the current number of class rooms and the number of students per class (I need instant help)
Here is my solution. I hope it is helpful.
I really need help
Help please (40 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answer:
See answer below
Step-by-step explanation:
R3: If parallel lines, then alternate interior angles is congruent
S4: AC ≅ AC
R5: ASA
A line through which two points would be perpendicular to the line y = 2/5x - 5/2 ?
Answer:
Step-by-step explanation:
c
what does the expression 3(20+15) represent?
Answer:
It represents 3x20 +3x15
Step-by-step explanation:
The expression 3(20+15) represents 20+15 then multiplying it by three.
If you were to solve the expression, the answer would be 105.
20 + 15 = 35
35 x 3 OR 35(3) OR 35 ∙ 3 = 105
In a company,55% of the workers are men. If 2,250 people work for the company who aren't men, how many. Workers are there in all?
Step-by-step explanation:
female workers:2250
% female workers:?
First, find the percentage of workers who aren't men since we are told the number of workers who aren't men
100-55=45
Therefore 45% of workers aren't men
Let the total number of workers =x
Now form an equation for the problem
[tex]x \times \frac{45}{100} = 2250[/tex]
[tex]x = 2250 \div \frac{45}{100} [/tex]
[tex]x = 5000[/tex]
Therefore, there are 5000 workers in total
If l || m, find the value of x
Answer: 9
Step-by-step explanation:
Answer:
9!
Step-by-step explanation:
what is 26x54 PLSSSSSSSSSSSS
Answer:
1404
Step-by-step explanation:
Answer:
1404
Step-by-step explanation:
If you need assistance with problems like these, try breaking it up!
Instead of 26*54, try doing 26*50 + 26*4
Having "wholer" numbers will help the process.