Given:
Street C is perpendicular to Street A and passes through (4, -6).
The equation of street A is:
[tex]y=-2x+2[/tex]
To find:
The equation of street C.
Solution:
The equation of street A is:
[tex]y=-2x+2[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m_2=-2[/tex]
Slope of this line is -2.
We know that, the product of slopes of two perpendicular lines is always -1.
[tex]m_1\times m_2=-1[/tex]
[tex]m_1\times (-2)=-1[/tex]
[tex]m_1=\dfrac{-1}{-2}[/tex]
[tex]m_1=\dfrac{1}{2}[/tex]
The slope of street C is [tex]m_1=\dfrac{1}{2}[/tex] and it passes through the point (4,-6). So, the equation of street C is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-6)=\dfrac{1}{2}(x-4)[/tex]
[tex]y+6=\dfrac{1}{2}(x-4)[/tex]
Therefore, the point slope form of the street C's equation is [tex]y+6=\dfrac{1}{2}(x-4)[/tex].
Select the correct answer. BRAINLLEST
An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table.
Time (years) 0 1 2 3
Value (dollars) 20,000 18,000 16,200 14,580
Which statement is true?
A.
The situation can be modeled by an exponential decay function with a percent change of -10%.
B.
The situation can be modeled by an exponential growth function with a percent change of 11%.
C.
The situation can be modeled by an exponential decay function with a percent change of -11%.
D.
The situation can be modeled by an exponential growth function with a percent change of 10%.
The situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The ratio between the value after 1 year and the value after 0 years is 18,000/20,000 = 0.9.
The ratio between the value after 2 years and the value after 1 year is 16,200/18,000 = 0.9.
The ratio between the value after 3 years and the value after 2 years is 14,580/16,200 = 0.9.
Since the ratio between consecutive values is constant and less than 1, we can conclude that the situation can be modeled by an exponential decay function.
r = (18,000/20,000) - 1 = -0.1
So the percent change per year is -10%, which means that statement A is true.
Hence, the situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ5
is this proportional or non-proportional?
Answer:
yes it is porportional!
Step-by-step explanation:
Because if you divide the y values by their own x value you will always get the same number which is 12. Meaning that, that is the constant.
there it is:) the full thing
Answer:
I can't see the whole thing.
So sorry I can't answer it if I can't see the WHOLE thing.
Answer:
D. A value of 0.9 is more than 2 standard deviations from the mean
Step-by-step explanation:
A is wrong, because the standard deviation is +/-0.15 (the measure up or down from the mean)
B is wrong, because the mean is exactly 0.5
C is wrong, because 1 standard deviation up from the mean is 0.65, and 0.7 is outside of that.
What is the answer to 6% of 19.5?
Answer:
1.17
Step-by-step explanation:
Help me out on this please
Answer:
hi
Step-by-step explanation:
18x-6-x+1+3x-1+x=8x-6
x+3x+x-8x= -6-1+1
-3x=-6
x=2
Perimeter is 8x-6=10
QP= x+1=3
PR=3x-1=5
3+5=8
10-8=2
QR=2
QR=4x-6=4×2-6=8-6=2
have a nice day
Answer this pls
DONT SEND A LINK
Answer:
A ) 44
B ) 50
C ) no mode
D ) 44 ??
Jordan places two boards end to end to make one shelf. The first board is 47/100 meter long, the second board is 5/10 meter long. What is the total length, in meters, of the two boards?
A. 9 7/10
B. 5 2/10
C. 97/100
D. 52/100
Please help ASAP!
Answer:
97/100 meters
Step-by-step explanation:
here's the link
=> the measure of first board = 47/100 meters
=> the measure of second board = 5/10 meters
=> total length = 47/100 + 5/10
=> length = (47+50)/100
=> length = 97/100 meters
hope it helps
In the formula for average rate of change, what does the triangle in front of the x and y stand for?
a.
interval between x and y
c.
delta notation-change in y over change in x
b.
initial value of x and y
d.
the percent rate of change of y and x
Please select the best answer from the choices provided
A
B
C
D
Answer:
C delta notation change in y over chance in x
Charlie's car can travel 40 miles using 2 gallons of gas.
At this rate, how far, in miles, can Charlie travel using 7.6 gallons of gas?
2
Answer:
152 miles
Step-by-step explanation:
Ratios:
[tex]\frac{40}{2} =\frac{x}{7.6} \\\\2x=304\\x=152[/tex]
I need help on this question, can someone please help with this??
Answer:
-7 minus -2 = -5 (the last one)
Step-by-step explanation:
Thats the only one that made sense to me
Answer:
hi kenma its toga i think the other yooman is correct
Step-by-step explanation:
Which postulate, if any, can be used to prove the triangles congruent
Answer:
SAS postulate
Step-by-step explanation:
WH = SH
IH = HI
∠WHI = ∠SHI
SAS postulate
Please please ASAP ASAP please ASAP thank you so much and no links or files
I will give brainies
Answer:
1. 14ftx23ft=322ft
2. 26inX18in= 468in
Step-by-step explanation:
The large sphere has a diameter of 20 feet. Which expression represents the volume, in cubic units, of the shaded part of the sphere? 4f 0 (106) + M4 ㅇ (10) - [4) ㅇ (20) + (4) ㅇ (20) - (43)
Answer:
it would be (10)- (4)
Step-by-step explanation:
The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.
What is diameter?Diameter is a straight line passing through the centre of a circle or other safe, or the length of first as millimetre centimetre inches and feet.
here, we have,
The expression that represents the volume of the shaded part of the sphere is (4/3)πr³,
where r is the radius of the sphere,
which is 10 feet (1/2 the diameter).
Therefore, the expression for the volume of the shaded part of the sphere is
(4/3)π(10)³,
or 4,188.7902 cubic feet.
Hence, The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.
To know more about diameter click-
brainly.com/question/19052774
#SPJ7
Please help me ASAP. NO links please or I will report you.
8th Grade Math.
The last question on it.
#4
Answer:
1. 48$
2. 72$
3. Positive
4. Every 5 hours, his earnings increase by 24$.
Step-by-step explanation:
All information gathered is from looking at the graph :)
Edmonds office had already recycled 1 kilogram this year before starting the new recycling plan, and the new plan will have the office recycling 7 kilograms of paper each week. Write an equation that shows the relationship between the weeks w and the paper recycled p . Write your answer as an equation with p first followed by an equal sign.
Answer:
p = 7w
Step-by-step explanation:
It is given that :
Edmonds office's new recycling plan is to recycle 7 kg of paper each week.
Let the number of weeks be = w
Let the paper recycled = p
Therefore, an equation showing he relation of the amount of papers recycled in each week is given by :
p = 7w
Resolver las siguientes inecuaciones cuadráticas y presentar el conjunto solución en forma de intervalo y gráficamente. 1) X2 < 10 – 3x 2) 2x2 + 3x ≥ 2
Respuesta:
1) (-5,2)
2) [tex](-\infty,-2]U(\frac{1}{2},\infty)[/tex]
Explicación paso a paso:
1)
[tex]x^{2}<10-3x[/tex]
Para comenzar este problema, debemos moverlo todo al lado izquierdo de la inecuación, por lo que obtenemos:
[tex]x^{2}+3x-10<0[/tex]
Ahora podemos factorizar el lado izquierdo para obtener:
[tex](x+5)(x-2)<0[/tex]
Ahora podemos cambiar el símbolo < por un = para encontrar los valores de x en los cuales la inecuación es igual a cero.
(x+5)(x-2)=0
Y luego despejamos x.
x+5=0
x=-5
y
x-2=0
x=2
Ahora construimos nuestros intervalos posibles.
[tex](-\infty,-5)[/tex]
(-5,2)
y
[tex](2,\infty)[/tex]
Y escogemos algunos valores de prueba. Estos nos ayudarán a determinar si cada intervalo hace que la inecuación sea verdadera o falsa.
[tex](-\infty,-5)[/tex]
Para este intervalo escojamos -6 y evaluemoslo en la inecuación.
(x+5)(x-2)<0
(-6+5)(-6-2)<0
(-1)(-8)<0
8<0
falso, así que este intervalo no es parte de nuestra respuesta.
(-5,2)
para este escojamos x=0 y probémoslo en la inecuación.
(x+5)(x-2)<0
(0+5)(0-2)<0
(5)(-2)<0
-10<0
verdadero, así que este intervalo es parte de nuestra respuesta.
[tex](2,\infty)[/tex]
Para este escojamos 3 y probémoslo en unestra inecuación.
(x+5)(x-2)<0
(3+5)(3-2)<0
(8)(1)<0
8<0
falso, así que este intervalo no es parte de nuestra respuesta.
así que nuestra respuesta es: (-5,2)
Vea imagen adjunta para representación gráfica.
2)
[tex]2x^{2}+3x\geq2[/tex]
Para resolver este problema, comenzamos moviéndolo todo al lado izquierdo de la inecuación.
[tex]2x^{2}+3x-2\geq0[/tex]
Ahora podemos factorizar el lado izquierdo de la inecuación para obtener:
[tex](2x-1)(x+2)\geq0[/tex]
Ahora podemos cambién el símbolo ≥ por un símbolop de = para obtener los valores de x que hacen que la inecuación sea igual a 0.
(2x-1)(x+2)=0
y ahora despejamos x.
2x-1=0
[tex]x=\frac{1}{2}[/tex]
y
x+2=0
x=-2
Ahora construimos nuestros intervalos posible.
[tex](-\infty,-2][/tex]
[tex][-2,\frac{1}{2}][/tex]
y
[tex][\frac{1}{2},\infty)[/tex]
Ahora escogemos los valores de prueba correspondientes.
[tex](-\infty,-2][/tex]
para este, escojamos -3 y probémoslo en la inecuación.
[tex](2x-1)(x+2)\geq0[/tex]
[tex](2(-3)-1)(-3+2)\geq0[/tex]
[tex](-7)(-1)\geq0[/tex]
[tex]7\geq0[/tex]
verdadero, así que este intervalo es parte de nuestra respuesta.
[tex][-2,\frac{1}{2}][/tex]
para este, utilicemos 0 como valor de prueba.
[tex](2x-1)(x+2)\geq0[/tex]
[tex](2(0)-1)(0+2)\geq0[/tex]
[tex](-1)(2)\geq0[/tex]
[tex]-2\geq0[/tex]
falso, así que este intervalo no es parte de nuestra respuesta.
[tex][\frac{1}{2},\infty)[/tex]
para este, utilicemos 1 como valor de prueba.
[tex](2x-1)(x+2)\geq0[/tex]
[tex](2(1)-1)(1+2)\geq0[/tex]
[tex](1)(3)\geq0[/tex]
[tex]3\geq0[/tex]
verdadero, así que este intervalo es parte de nuestra respuesta.
Así que nuestra respuesta es la unión entre los dos intervalos que resultaron verdadero, por lo que nuestra respuesta es:
[tex](-\infty,-2]U[\frac{1}{2},\infty)[/tex]
Vea la representación gráfica en la imagen adjunta.
PLS HELP WITH THIS ONE
Answer:
460 ft^2 of carpet will be replaced
Step-by-step explanation:
You need to find the area of the room and then take away the area of the six bookcases
Area of the room
20*20=400ft^2
35-20=15ft
(15*20)/2=150ft^2
400+150=550ft^2 total room area
Area of bookcases
2.5*6*6=90ft^2 total bookcase area
room area - bookcase area = carpet area
550-90=460ft^2
Given what you have learned about inverse functions, what can you say about the functions y = 2^x and y = log 2 X.
Answer:
[tex] log(2x) = {2}^{x} \\ ln \: \times log = ln( {2}^{x} ) \\ 1 = x ln(2) \\ x = \frac{1}{ ln(2) } [/tex]
-2 3/4 ? -2 2/3
-0.08 ? -0.8
-4.82 ? -4.89
I need help with 3 three if u can help!
8 + 6 x 9
More about to come
Answer:
62
Step-by-step explanation:
8+(6*9)
8+54
62
8 + 6 x 9 = 62
hope this helps
What is the area of the following circle?
r = 4
Answer:
The area of this circle is 50.27
Step-by-step explanation:
The area of this circle is 50.3 units² or 16π
What is incircle?The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.
The area of the circle is the product of the pie and the square of the radius.
The area of the circle = πr²
We are given that radius of the circle as r = 4.
Then we know that
Area = πr²
Substitute the values r = 4
π = 3.14
Area = 3.14(4)²
Area = 3.14 × 16
Area = 50.3
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
similarity of right angle triangle
Answer:
The triangles pictured are similar (SSS), that is the corresponding sides are in the same ratio. Hence the matching angles are the same. For any right-angled triangle similar to triangle ABC, the ratio of the matching sides will be the same.
PLS HELP I HAVE 5 MIN
Answer:
? where's the question
Step-by-step explanation:
3X 10 multiple the number
Answer:
90
Step-by-step explanation:
3 x 10 with a tiny three
10 x tiny3 = 30
30 x normal 3 = 90
What is the volume of a sphere that has a diameter of 12 cm? (Round to the nearest whole number)
Answer:
V≈904.78cm³
Step-by-step explanation:
Can you please help me I need help asap thanks
Answer:
36
Step-by-step explanation:
What is the answer the pie
Answer:
3.14159265359 and so on
Step-by-step explanation:
Can someone, anyone, help me with this?
la respuesta de tu potencia es 1
I will mark brainliest!!!!
Answer:
24 ft^2
Step-by-step explanation:
The small aquarium:
1 * 3 * 2 = 6 ft^2
The large aquarium
(1 + 1) * (3 + 2) * (2 + 1)
2 * 5 * 3 = 30 ft^2
Difference between the larger aquarium and the smaller aquarium:
30 - 6, or 24.
This means that the answer to this question is a, 24 ft^2
what is 1873 divided by 0.93
Answer:
it is 2013.97849462
Step-by-step explanation: hope this helps :)