The correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.
Here,
Let's go through the steps again and find the correct equation for the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9).
Step 1: Convert the given equation into slope-intercept form.
2x - 5y = 5
Subtract 2x from both sides:
-5y = -2x + 5
Now, divide everything by -5 to isolate y:
y = (2/5)x - 1
So, the slope of the given line is 2/5.
Step 2: Find the slope of the line perpendicular to the given line.
For two lines to be perpendicular, their slopes must be negative reciprocals of each other.
The negative reciprocal of 2/5 is -5/2.
Step 3: Write the equation of the line using the point-slope form.
Now that we have the slope (-5/2) and a point (2, -9), we can use the point-slope form of the linear equation:
[tex]y - y_1 = m(x - x_1)[/tex]
where m is the slope, and [tex](x_1, y_1)[/tex]is the given point.
Substitute m = -5/2 and [tex](x_1, y_1)[/tex] = (2, -9):
y - (-9) = (-5/2)(x - 2)
Simplify:
y + 9 = (-5/2)x + 5
Now, isolate y by subtracting 9 from both sides:
y = (-5/2)x + 5 - 9
y = (-5/2)x - 4
So, the correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.
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Which is the graph of y=3/4x-3?
Graph B
Graph C
Graph A
Answer:
Graph A
Step-by-step explanation:
16.Which Three Lengths CANNOT be the lengths of the sides of a triangle?
17.Which Three Lengths COULD-BE the lengths of the sides of a triangle?
Problem 16
Answer: Choice B) 21, 8, 10This is because the two smaller sides 8 and 10 add to 8+10 = 18, but this is not greater than the side 21. For a triangle to be possible, the sum of any two sides must be larger than the third side. I recommend cutting out slips of paper of these lengths to confirm that a triangle is indeed not possible in this case.
=====================================================
Problem 17
Answer: Choice B) 10, 15, 22Choice A is not the answer because 13+8 = 21, but that's not larger than the third side 21.
Choice C is not the answer because 6+11 = 17 which is not larger than 24.
Choice B is the only possible answer. Note we have the three following true inequalities
15+22 > 1010+22 > 1510+15 > 22So adding any two sides of this triangle leads to a sum larger than the third side. We're using the triangle inequality theorem.
Work out the area of a rectangle with base, b =
18mm and perimeter, P = 60mm.
b b
Answer:
Area of rectangle = 216 square mm
Step-by-step explanation:
Base (b ) = 18 mm
width = 'x' mm
Perimeter of rectangle = 2*(base + width)
Perimeter = 60 mm
2*(base + width) = 60 mm
2 *(18 + x ) = 60
2*18 + 2*x = 60
36 + 2x = 60
2x = 60 - 36
2x = 24
x = 24/2
x = 12
Width = 12 mm
Area of rectangle = base * width
= 18 * 12
= 216 square mm
Solve: 7x + 3 + 2x + 13
Answer: 9x+16
Step-by-step explanation: in image below
What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x − 3y = 17
Answer:
x=4
Step-by-step explanation:
multiply first eq. by 3 and second by 4 to get rid of y
15x+12y=24
8x-12y=68
add the equations
23x = 92
divide both sides by 23
x=92/23=4
Answer:
x = 4
Step-by-step explanation:
Given the 2 equations
5x + 4y = 8 → (1)
2x - 3y = 17 → (2)
Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term
15x + 12y = 24 → (3)
8x - 12y = 68 → (4)
Add (3) and (4) term by term to eliminate y, that is
23x = 92 ( divide both sides by 23 )
x = 4
how to get 2 essays and pre-essay questions done in 238 minutes? (3 hours and 58 min) PLEASE HELP
Answer:
Definitely start with outlining one essay, then doing all of your steps, although don't do much re-writing since there may not be enough time. only focus on one at a time though. as for the questions, since it says pre-essay it wants that completed first but unless you have to do it first, i would do it last since the essays are more important.
- 3/8 + 1/6 plss help
Answer:
-5/24
Step-by-step explanation:
-3/8 =
-9/24
1/6 =
4/24
-9/24+4/24=-5/24
Answer:
-3
Step-by-step explanation:
multiply to make it a common number so -3/8 times 6/6 and 1/6 times 8/8
so -18/48 times 8/48. Then you multiply the top numbers to get 144/48. Then you simplify or divide so -3.
(Can someone help me please?)
Of the 20 school days last month, there were only 7 when no math or writing homework was
due. There were four days that math and writing homework were both due at the same time.
Math homework was due 7 times total; how many total times was writing due? *
(6 Points)
The value must be a number
Answer:
10
Step-by-step explanation:
The answer is 10 because there are 20 days and no home work is due on 7 of those days so that’s 13 days with homework from math or writing. Then you take the three days where it was just math and subtract that to get 10 days of writing.
Pedro thought he could just run into the store for a minute, so he didn’t put any money in the parking meter. He got a ticket for $25 due one week later. The ticket said that it would be an additional $13.00 for each day it was paid late.
a. Define the variables and write an equation that represents the total fine for any number of days late paying the ticket.
b. Use the equation to find the amount Pedro must pay if he is six days late.
c. When Pedro finally goes to the Town Clerk to pay the bill he has to pay $155.00. How many days late was he?
please help, i need to know this answer!!
Answer:
It is d
Step-by-step explanation:
Select the correct answer.
Sandra works at an advertising firm, which has a diverse workforce. It employs individuals belonging to various cultural backgrounds. Sandra tends to be rude to people belonging to certain ethnicities. Her bias takes form of disrespect at times. Which skills does Sandra seem to lack?
A.
interpersonal skills
B.
communication skills
C.
task management skills
D.
resourcefulness
Answer:
a and b*
Step-by-step explanation:
it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.
Complete the table using the equation y = 7x + 5.
15 points or higher guys.
Answer:
Answer is:
-2, 5, 19, 26
Step-by-step explanation:
output = input 7x+5 or
x= y7x+5
.. help lol just find the answer
How many groups of 2/3 are in 3
Answer:
9/15
Step-by-step explanation:
12+(-4) and i will give brainllest
Answer:
8
Step-by-step explanation:
answer asap plz plz ok thx
Answer:
2. A3. BStep-by-step explanation:
2.
Option A is correct:
Two pairs of opposite congruent angles3.
Option B is correct:
∠PDC = ∠ABP = 25°5) Solve for x,
107 + 44
8x -23
Answer:
8x + 128??
Step-by-step explanation:
Answer:
To start off, lets label this triangle ABC where A is the top right vertical, the top left verticle is B, and the bottom one is C. Now lets label the 2 points of intersection from the line segment 8x-23 D and E where the left intersection is E and the right is D.
Notice how CE and AE have an arc and that AC was split to get AE and CE. The 2 arcs show us that the intersection E is located at half the line segment.
This is the same on the other line segment BC. So if E and D are half of those line segments then the line segment ED must be half of the parallel segment above it. Because this is true, 2(8x-23)=10x+44
Now we have an equation and we can solve:
2(8x-23)=10x+44
16x-46=10x+44
6x-46=44
6x=90
x=15
Step-by-step explanation:
6yz + 2yz - 3y + z
Help me
Answer
8yz - 3y + Z
Step-by-step explanation:
Answer:=8yz−3y+z
Step-by-step explanation:
Hope it helps!
Is the domain function f(x)= 1/x+4 all real numbers ? Explain
Answer:
5
Step-by-step explanation:
1. Solve for x. Show your solution and justify every step.
Equation. Justification
4(x - 3) + 5 = 17. Given
Given:
The equation is
[tex]4(x-3)+5=17[/tex]
To find:
The solution of given equation.
Solution:
We have,
[tex]4(x-3)+5=17[/tex]
Using distributive property, we get
[tex]4(x)+4(-3)+5=17[/tex]
[tex]4x-12+5=17[/tex]
[tex]4x-7=17[/tex]
Adding 7 on both sides, we get
[tex]4x-7+7=17+7[/tex]
[tex]4x=24[/tex]
Divide both sides by 4.
[tex]x=\dfrac{24}{4}[/tex]
[tex]x=6[/tex]
Therefore, the value of x is 6.
Samuel gave the cashier $30 to pay for 4 bags of candy he was purchasing for a class party. The cashier gave him $2.04 in change. Each bag of candy costs the same amount.
What is the cost in dollars for each bag of candy?
Answer:
Step-by-step explanation:
First, subtract 2.04 by 30
30 - 2.04 = 27.96
Next, divide 27.96 by 4.
27.96/4 = 6.99
Each bag of candy cost $6.99
:)
Eleanor and Max used two rectangular wooden boards to make a set for
the school play. One board was 6 feet long, and the other was 5 feet
long. The two boards had equal widths. The total area of the set was
60 square feet. What was the width?
Answer:
[tex]\frac{60}{11}[/tex] feet
Step-by-step explanation:
Rectangle 1:
6 x Width = Area
Rectangle 2:
5 x Width = Area
Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet
Take Width as [tex]x[/tex] as the widths of both rectangles are the same:
[tex]5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}[/tex]
a rectangular garden has an area of 6/7 square miles.If its length is 3/5 ,miles,what is its width
Here is the set up:
A = area of rectangular garden = 6/7.
Let l = length = 3/5.
Let w = width
A = lw
6/7 = (3/5)w
Solve for w.
Alain lanzó una piedra desde un puente al río de abajo.
La altura de la piedra (en metros sobre el agua) xxx segundos después de que Alain la lanzó está modelada por:
h(x)=-5x^2+10x+15h(x)=−5x
2
+10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15
¿Cuál es la altura de la piedra en el momento que la lanza?
Responder:
15m
Explicación paso a paso:
Dada la expresión de la altura de la pelota lanzada modelada por la ecuación;
h (x) = -5x² + 10x + 15
El momento en que se arrojó la piedra es cero, es decir, x = 0 segundos
Sustituya x = 0 en la ecuación y encuentre h (x) como se muestra;
h (x) = -5x² + 10x + 15
h (0) = -5 (0) ² + 10 (0) +15
h (0) = 0 + 0 + 15
h (0) = 15 m
De ahí que la altura de la piedra cuando la arrojes sea de 15 m
Can someone help me?
Answer:
the answer to that is -18x^2
Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters. Write an additional expression in the form Descent + Ascent to represent this situation. Then calculate the sum and explain what it represents.
An additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters.
The expression will be written as,
E = -13.7 + 15.2.
E = 1.5 meters
Therefore, the additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.
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how to turn a mixer number to a improper fraction
Step-by-step explanation:
1. keep the demoninator the same
2. to find the numberator, multiply the demoninator number by the whole number, and add the product of that with the numerator number.
example:
2 3/8 = 19/8
1. so, keep the denominator the same, which means that the denominator is 8
2. to find the numerator, you do:
8 times 2 = 16
16 + 3 = 19
--
therefore, the improper fraction of 2 3/8 is 19/8
i hope that helps explain/clarify what you're confused with. :D
Given: A ABC
The measure of
measure of
Answer:
∠A = 90
∠B = 30
∠C = 60
Step-by-step explanation:
Let ∠B = x
∠A = 3x
∠C = x + 30
Angle sum property of triangle: Sum of three angles of triangle is 180
x + 3x + x + 30 = 180 {Combine like terms}
5x + 30 = 180
5x = 180 - 30
5x = 150
x = 130/5
x = 30
∠A = 3*30 = 90
∠C = 30 + 30 = 60
Please help me find the area
Answer:
25x^2 - 4
Step-by-step explanation:
and x times an x is x^2 so
25x^2 - 4
plz i need the answer
(a)1/10
(b)4/5
(c)1/20
Answer:
a) [tex]\frac{2}{18}[/tex] or 1/9
b) [tex]\frac{14}{18}[/tex]
c)[tex]\frac{1}{5}[/tex]
Step-by-step explanation: