The equation of the perpendicular line is y = 2x - 5
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
2y + x = 1
Make y the subject
y = -1/2x + 1/2
Also, from the question;
We have the following points
Point = (2, -1) i.e. (x, y) = (2, -1)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = -1/2
This means that the slope is -1/2
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is 2
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = 2
(x₁, y₁) = (2, -1)
So, we have
y = 2(x - 2) - 1
Evaluate
y = 2x - 5
Hence, the line has an equation of y = 2x - 5
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A bat was flying for four and a half hours at a constant speed of ten kilometers per hour. How far did the bat travel in meters?
Answer:
45000 m
Step-by-step explanation:
Speed = distance / time
10 km/h = distance / 4.5 hours
distance = 10 x 4.5 = 45 km
Kilometre needs to be converted to metres
Ikm = 1000m
45 x 1000 = 45,000m
i need help with this since it’s due tomorrow, listing the side lengths of XYZ in order from smallest to largest
Answer:
∠ x , ∠ z , ∠ y
Step-by-step explanation:
For what value of a is - 4a zero of the polynomial p(x) = x ^ 2 - x - (2a + 2) ^ 2
Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]
Step-by-step explanation:
Given
Quadratic Equation is [tex]x^2-x-(2a+2)[/tex]
[tex]-4a[/tex] is the solution of the given equation
[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]
temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop
Answer:
10
Step-by-step explanation:
2--8
2+8
10
8 below zero is -8
pls help me! will give brainliest
A bottel holds z ounces of water a second bottel holds 16 onces witch is 8/5 times as much warter how much does the frist bottel hold
Answer:
The first bottle holds 10 ounces of water.
Step-by-step explanation:
The bottle holds z ounces.
The second bottle holds 16 ounces, which is 8/5 times the first, which is z.
How much water does the first bottle holds?
[tex]\frac{8z}{5} = 16[/tex]
[tex]8z = 16*5[/tex]
[tex]8z = 80[/tex]
[tex]z = \frac{80}{8}[/tex]
[tex]z = 10[/tex]
The first bottle holds 10 ounces of water.
10x5+4to the power of 2+(5+30 divided by 10
Answer:
10 * 5 + 4^2 + (5 + 30 ÷ 10)=74
Answer:
74
Step-by-step explanation:
Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto.Los azulejos son cuadrados de 20 cm de lado
Pregunta completa:
Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto. Los azulejos son cuadrados de 30 cm de lado. ¿Cuants, cajas tendra que comprar si en una caja hay 25 azulejos? Con procedimiento.
Respuesta:
160 tejas
7 cajas
Explicación paso a paso:
Dimensión de la pared = 6 m por 2,4 m
Área de la pared = 6 m * 2,4 m
Área de la pared = 14,4 m²
Longitud lateral, s de teja cuadrada = 30 cm = 0,3 m
Área de la loseta cuadrada = s² = 0.3² = 0.09m²
Número de baldosas cuadradas necesarias:
14,4 m² ÷ 0,09 m²
= 160 fichas cuadradas
Si hay 25 fichas en una caja;
Número de cajas a comprar:
160/25
= 6,4 ≈ 7 cajas
Find 33⅓% of ⅘ of $4.50.
What value of x would make the figure a parallelogram (show your math please)
Answer:
2
Step-by-step explanation:
Diagonals of a parallelogram bisects each other.
Therefore,
4x = 8
x = 8/4
x = 2
Or
5x = 3x + 4
5x - 3x = 4
2x = 4
x = 4/2
x = 2
PLXS HELP NEED BY TODAY
Answer:
I believe its 17, this is a 90 degree angle, so 90-73=17
Step-by-step explanation:
Find area of the figure. PLEASE HELP!
Answer:
69
Step-by-step explanation:
Answer:
69 m²
Step-by-step explanation:
The figure is composed of 2 right triangles
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
A of triangle on left is
A = [tex]\frac{1}{2}[/tex] × 9 × 10 = 45 m²
A of triangle on right is
A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 m²
Total area = 45 + 24 = 69 m²
Solve for m angleUVW if m angle UVX = 40° and m angle XVW = 68°
Answer:
The measure of the obtuse angle marked UVW is 108
Step-by-step explanation:
Here, we want to get the measure of the angle marked UVW
To get this, we refer to the given diagram
From the diagram;
UVW = UVX + XVW
UVW = 68 + 40
UVW = 108 degrees
HELPPPPPPPPPPPPPPPPP
Answer:
I think it's 160 square inches. Try L x W x H (length multiplied by width multiplied by height). So that would mean 4 x 5 = 20 x 8 = 160,
hope this helps!
Answer:
Step-by-step explanation:
The value of almost everything you own assets such as a car computer oar house depreciates goes down overtime when an asset value decreases by a fixed amount each year the depreciation is called straight line depreciation suppose your truck has an initial value of $12,400 depreciates $820 per year write an equation illustrates this function if you plan to keep your truck for seven years and determine the value of the truck at the end of this. Period let v represent the dependent variable in T represent the independent variable
Answer:
A
Step-by-step explanation:
Trust
The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Here, your truck has an initial value of $12,400 depreciates $820 per year.
Let number of years = r
Hence, We get the correct equation is,.
⇒ y = 12,400 - 820r
So, For r = 7 years;
⇒ y = 12400 - 820 x 7
⇒ y = 12400 - 5740
⇒ y = $6,660
Thus, The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
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Identify the set as finite or infinite
{1 1/4, 1/16, 1/64,,,}
Answer:
??????
Step-by-step explanation:
What that does not make sence at all
Please help algebra work
Answer:
I think it is J
Step-by-step explanation:
the x-2.... so on x axis on 2....and +5 is y intercept
Given f(x)=(0.5)^x, give the rule for g(x) if it is f(x) shifted to the left 1 unit, down 3 units, and reflected over the x-axis
Answer:
g(x) = -(0.5)^(x + 1) + 3
Step-by-step explanation:
First, let's define the transformations used in this case:
Horizontal shift (horizontal translation):
If we have a function f(x), a horizontal translation can be written as:
g(x) = f(x - N)
if N is positive, the translation is to the right
if N is negative, the translation s to the left.
Vertical shift (vertical translation):
If we have a function f(x), a vertical translation can be written as:
g(x) = f(x) + N
if N is positive, the translation is upwards
if N is negative, the translation is downwards.
Reflection over the x-axis.
If we have a function f(x), a reflection over the x-axis is written as:
g(x) = -f(x).
Now we have the function:
f(x) = (0.5)^x
Let's apply the transformations:
"shifted to the left 1 unit"
g(x) = f(x - (-1) ) = f(x + 1)
"shifted down 3 unts"
g(x) = f(x + 1) - 3
"reflected over the x-axis"
g(x) = -( f(x + 1) - 3 ) = -f(x + 1) + 3
now we can replace the function equation here and get:
g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3
while shopping for clothes tracy spent $25 less than 3 times what curtis spent. Tracy spent $14. write and solve an equation to find how much curtis spent. Let x represent how much curtis spent.
3x-25=14
First, you'll add the 25 to the other side of the equation because its negative. 25+14 =39. then you'll divide these by 3. (because it says 3 times what curtis spent.)
39÷3=13. so the answer is 13. curtis spent 13 dollars shopping.
Which list orders the numbers from least to greatest
Help please due td!!
.............Option B)
Can you guys help me answer question 1 and 2
This image shows a square pyramid.
What is the surface area of this square pyramid?
32 ft²
64 ft²
128 ft²
136 ft²
Answer:
please provide the image! would love to help.
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
I took the test
Ashley started a savings account with Chase bank. She initially put in $200 in her account. If she was granted a .08% semi-annually, how much would she have in her account after a year?
plz answer
correctly it is worth a lot of points
Answer:
75%
Step-by-step explanation:
Writing Linear Equations
Two less than five times a number x is equal to 13. Solve for x.
Answer:
x = 3
Step-by-step explanation:
5x - 2 = 13 (write the equation)
5x - 2 + 2 = 13 + 2 (isolate the variable)
5x = 15
5x/5 = 15/5 (simplify)
x = 3
Answer: x=3
Step-by-step explanation:
13=5x-2
13+2=5x
15=5x
x=15/5
x=3
Solve for x
3x+7=57 pleas hurry
Answer: x=50/3
Step-by-step explanation:
Answer:
16.6 ( the 6 is repeated) or 16 and 2/3
Step-by-step explanation:
Take the 7 away which equals 50 and then divide by 3..
help me pls I would aprreciate it
Answer:
b
Step-by-step explanation:
Help please I need help
Answer:
12=4 3 4=2 2
Step-by-step explanation:
plz answer the question and explain how you got the answer