The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).
To find the slope m of the perpendicular equation;
y = 3x + 2 --------------(1)
comparing the equation above with the standard equation of a circle
y=mx + c
m=3
The slope of the perpendicular equation;
= -1
3 = -1
Divide both-side of the equation by 3
= -1/3
so, the slope of our perpendicular equation is -1/3
Then, we go ahead to find our intercept
To find the intercept, we will plug in the points and the new slope into the formula y =mx + c
5 = -(3) + c
5 = -1 +c
Add one to both-side of the equation
5+1 = -1 + c + 1
6 =c
c=6
our intercept c is equal to 6
so we can now proceed to form our equation.
y = - x + 6
Multiply through by 3
-3y = -x + 18
We can rearrange the equation, hence;
x -3y -18=0
Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
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URGENT I NEED HELP ASAP Which of the following steps were applied to AABC obtain AA'B'C'?
B
12
10
-6
8-
64
4
2-
-2
-2
र
8
10
A. Shifted 4 units right and 3 units up
B. Shifted 3 units right and 2 units up
C. Shifted 3 units right and 3 units up
D. Shifted 2 units right and 3 units up
T
B
2
C
C'
The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.
The correct option is (B).
What is Coordinate Geometry?By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given diagram:
We are given the diagram of two triangles drawn on a graph.
With the help of the graph, we can easily figure out the coordinates of each point of the triangle.
The steps to translate the triangle will be the same as that to translate any vertices of the triangle.
Let us consider A:
Coordinates of A = (2, 5)
Coordinates of A' = (5, 7)
For translating A to A':
3 units in +ve x direction. {right}
2 units in +ve y direction. {up}
Hence, The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.
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Please help me....Use the Pythagorean identity
Using the Pythagorean identity, the value of the cosine ratio is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]
How to determine the cosine ratio?The given parameter is:
[tex]\sin(\theta_1) = -\frac{13}{85}[/tex]
By the Pythagorean identity, we have:
[tex]\sin^2(\theta_1) + \cos^2(\theta_1) = 1[/tex]
So, we have:
[tex](-\frac{13}{85})^2 + \cos^2(\theta_1) = 1[/tex]
This gives
[tex]\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2[/tex]
Evaluate
[tex]\cos^2(\theta_1) = 1 - \frac{169}{7225}[/tex]
Take LCM
[tex]\cos^2(\theta_1) = \frac{7225 -169}{7225}[/tex]
This gives
[tex]\cos^2(\theta_1) = \frac{7056}{7225}[/tex]
Take the square root of both sides
[tex]\cos(\theta_1) = \pm \frac{84}{85}[/tex]
Cosine is positive in the fourth quadrant.
So, we have:
[tex]\cos(\theta_1) = \frac{84}{85}[/tex]
Hence, the cosine value is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]
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What is the area of a triangle with a base of 9 units and a height of 7 units?
Answer:
31.5 units.
Step-by-step explanation:
The area is the height times the base divided by 2.
9x7 = 63
63/2 = 31.5
what is anwer ok ok ok
Answer:
3: equally likely
4: likely
Step-by-step explanation:
Question 3:
the spinner has 1, 2, 3, 4, 5, 6
2, 4, 6 are all even number which is 3 / 6 = 1 / 2
so half a chance can be odd or half even possibility of landing
Question 4:
- 13 yellow
- 4 green
- 3 blue
total marbles: 13 + 4 + 3 = 20
yellow / total = 13 / 20
which is more than half of the marbles are yellow
the answer equally
Step-by-step explanation:
equally
a girl exercises every day for half an hour how many minutes in total for over 5 days
Answer:
150 minutes
Step-by-step explanation:
30 × 5 = 150 minutes
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
Answer: the correct answer is.....101 ft sq.
Step-by-step explanation:
5. mr. and mrs. pinkerton have four boys. every time people notice this they comments to
the odds of this happening. the pinkertons decide to set up a simulation with 10 trids to
determine the probability,
The simulation that can best represent the chances of the Pinkertons having a boy or a girl is Flipping a coin.
What best shows the chances of having either a boy or girl?The question asks for the simulation that can represent the likelihood of having a boy or a girl.
Because there are two outcomes, they each have a 50% probability.
A good simulation to show this would therefore be flipping a coin because this has two outcomes as well which are heads or tails.
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Sofia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit she sells. If Sophia wants to earn at least $70 per day, which inequality shows the minimum number of outfits, n, that she should sell
Answer:
70= 5n+40
Step-by-step explanation:
(n=6 if you need it)
Hope this helps! ;-)
In order to find this answer, you will need to be able to make an inequality.
Step 1: Sophia makes $40 so start with that. 40
Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n
Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.
Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.
Equation: 40+5n *greater than or equal to sign* $70
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Select the correct answer.
Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle.
She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral.
Which statement is true?
A.
Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral.
B.
Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral.
C.
Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral.
D.
Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.
Answer:
B.Courtney’s reasoning about triangle PRS is correct, and the hexagon is equilateral.
Step-by-step explanation:
Having a hard time finding the Surface Area, help?
(Formula is SA=hp+2B)
Answer:
89.3 cm. sq.
Step-by-step explanation:
Just find the area of each face and then add those areas together.
hope this helps
have a good day
helpppppopppppoppppppp
PLS HELP!! I'M ON A TIME!!
Sid has a water dispenser in his refrigerator as shown in the figure.
A prism has a length of 4 inches, height of 14 inches, and width of 8 inches.
Sid would like to have three water dispensers in his refrigerator. How much cubic space will all three dispensers take up in Sid’s refrigerator?
448 in.3
896 in.3
1,200 in.3
1,344 in.3
Answer:
Its d
Step-by-step explanation:
The other person is wrong because they only solved for one water dispenser you are supposed to solve for all three :)
Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:
V = lwh.
In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:
V = 3 x 4 x 14 x 8 = 1,344 in³.
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the formula for converting degrees fahrenheit (f) to degrees kelvin (k) is:
solve for f, in terms of k
k=5/9(f+459.67)
Answer:
See below
Step-by-step explanation:
K = 5/9 (F + 459.67) Multiply both sides by 9/5
9/5 K = F + 459.67 Subtract 459.67 from both sides
9/5 K - 459.67 = F
Al pagar una cuenta de S/ 143 se le cobró una mora del 10%. ¿Cuál era el pago original?
Teniendo en cuenta la definición de porcentaje, el pago original sin la mora del 10% es 130.
Definición de porcentajeEl porcentaje es una forma de referirse a una proporción tomando como referencia el número 100.
En otras palabras, el porcentaje es una fracción o una parte de 100, denominándose también como tanto por ciento, y se indica con el símbolo %.
Es decir, el porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100 y representa la porción de un todo, que se obtiene dividiendo el monto conocido entre el total y multiplicándolo por 100.
Pago originalEl pago original es 100%. Al cobrarse una mora del 10%, se debe pagar 110% del pago original, representada por la letra P.
Entonces:
110%×P=143
Resolviendo:
P= 143 ÷ 110%
Considerando que un porcentaje es una cantidad determinada de cada 100 unidades, entonces 110 % significa 110 de cada 100 unidades, y es equivalente a 110/100. Entonces:
P=143 ÷ [tex]\frac{110}{100}[/tex]
P= 130
Entonces, el pago original sin la mora del 10% es 130.
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Which is the graph of the circle (x−2)2+(y−1)2=25?
Answer: y=-x+31/2
Step-by-step explanation:
2x-4+2y-2=25
2y=-2x+31
y=-x+31/2
{20, 25, 19, 18, 21, 24, 15, 25} What is the mean of the data set? Make sure to show ALL of your work
Answer:
20.875
Step-by-step explanation:
Mean is to add up the scores then divide by the number so 20 + 25 + 19 + 18 + 21 + 24 + 15 + 25 which is 167 then divide by 8 which is 20.875
help asap pls pls pls
Answer:
the answer is 13, all you had to do was substitute 5 for N, so all you had to do was 3 + 2(5) which is 13
Glass A contains 100 ml of water and glass B contains 100 ml of wine. A 10 ml spoonful of wine is taken from Glass B and mixed thoroughly with the water in Glass A. A 10 ml spoonful of the mixture from A is returned to B. Is there now more wine in the water or more water in the wine
Answer:
More wine in the water
Step-by-step explanation:
Hope this helped
Find the surface area and lateral area of the following three prisms. Be sure to show all of your work.
Problem 1
L = 10 = length
W = 5 = width
H = 4 = height
SA = surface area of a rectangular prism, aka block or box
SA = 2*(LW+LH+WH)
SA = 2*(10*5+10*4+5*4)
SA = 220
--------------------
LA = lateral area, aka wall area
LA = (perimeter of the base)*(height)
LA = (2L+2W)*H
LA = (2*10+2*5)*4
LA = 120
or
LA = SA - (floor area) - (ceiling area)
LA = SA - 2*(area of the floor)
LA = 220 - 2*(LW)
LA = 220 - 2*(10*5)
LA = 220 - 100
LA = 120
--------------------
Answers:
Surface Area = 220 square feet
Lateral Area = 120 square feet
==========================================================
Problem 2
Imagine rotating the object so that the triangular face is resting on the flat ground. This means the triangular faces are the floor and ceiling. The walls of any prism are always rectangles.
Focus on the right triangle with leg b = 4 and hypotenuse c = 5.
Use the pythagorean theorem to find that a = 3 is the missing leg length.
The triangle has base = 4 and height = 3, so its area is base*height/2 = 4*3/2 = 6 square inches. This is the area of the floor and ceiling each.
--------------------
This is the summary so far
base or floor area = 6 square inchesdepth of the prism = 8 inches(a,b,c) = (3,4,5) are the sides of the right triangleThose values are then plugged into the formulas below.
SA = surface area of a triangular prism
SA = 2*(base area) + depth*(a+b+c)
SA = 2*(6) + 8*(3+4+5)
SA = 108
LA = lateral area
LA = depth*(a+b+c)
LA = 8*(3+4+5)
LA = 96
or
LA = SA - 2*(floor area)
LA = 108 - 2*(6)
LA = 96
Note that a+b+c = perimeter of the triangular base.
--------------------
Answers:
Surface Area = 108 square inches
Lateral Area = 96 square inches
==========================================================
Problem 3
Imagine rotating the figure so that the octagon is resting on the flat ground.
Refer to the screenshot below to see the steps on computing the area of the regular octagon, aka the floor area.
The floor area is approximately 120.710678 square cm. The same goes with the ceiling because the floor and ceiling are congruent regular octagons that are parallel.
Each rectangular wall has an area of 5*22 = 110 square cm. Eight identical walls give a total lateral area of 8*110 = 880 square cm.
Add the floor and ceiling area to the wall area to get the total surface area
floor + ceiling + walls = 120.710678 + 120.710678 + 880 = 1121.421356
--------------------
Answers:
Surface Area = 1121.421356 square cm (approximate)
Lateral Area = 880 square cm
Which of these shapes is an obtuse isosceles triangle? Help me A, B, C, Or D?
Answer:
A
Step-by-step explanation:
A is the center of the circle, solve the following:
(34) x =
(35) y =
Pasos
(34)x=(35)y=
La ecuación está en formato estándar.
34x=35y
Divide los dos lados por 34.
34
34x
=
34
35y
Al dividir por 34, se deshace la multiplicación por 34.
x=
34
35y
(7/12+1/3)−(1/2+2/8) simplified
Answer:
22/24-18/24
Step-by-step explanation:
Convert each low number to the factor
1/3 * 4 = 4/12 which has the same denomanator as 7/12
And the same for 1/2 * 4 = 4/8 which has the same denominator as 2/8
Then you add both with both,
Next you convert both of them to the same denominator and the closest number will be 24 then yousubtract and voila.
Question:
(7/12+1/3)−(1/2+2/8)
Answer:
Fraction Form:
1/6
Decimal Form:
0.16
Hope this helps.
What is -8.2 ÷ 4.32 = ?
Answer:
-8.2 / 4.32 is an infinite nummber but an aproximate is -1.9 or -2
Step-by-step explanation:
Solve for X
13=270 (0.5)^x/7
Answer:
Step-by-step explanation:
How many millimeters are in 27 centimeters? (2 points)
a
27 mm
Ob
270 mm
Ос
2,700 mm
Od
27,000 mm
Which expression represents the volume, in cubic units, of empty space in the cube? four-thirdsπ(4.53) – (4.5)3 (9)3 – four-thirdsπ(4.52) four-thirdsπ(4.53) – (9)3 (9)3 – four-thirdsπ(4.53)
The expression that represents the volume of the empty space is 9³ - 4 / 3 π(4.5)³ cubic units.
How to find the expression for volumes?
The volume of the empty space can be represented as follows
volume of the empty space = volume of cube - volume of sphere
Therefore,
volume of sphere = 4 / 3 πr³
where
r = radiusVolume of cube = L³
where
L = side lengthTherefore,
volume of cube = 9³
volume of sphere = 4 / 3 π(4.5)³
Hence,
volume of the empty space = 9³ - 4 / 3 π(4.5)³
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Answer:
D
Step-by-step explanation:
other dude typed too much lam
Austin uses a mold to make cone-shaped cupcakes. The diameter of the mold is 12 inches, and
the height of the mold is 10 inches. If one cubic inch is about 0.55 ounce, how many ounces will
2 cupcakes weigh? Use 3.14 for T. Round to the nearest tenth of an ounce. Only write the
number
Answer:
25.9
Step-by-step explanation:
So calculate volume of the mold, which is a cone: (pi) r2 (h/3) where r is radius and h is height
So diameter/2 = r which is 1.5 in
h = 2 in
V = (3.14)(1.52)(2/3) = 4.71 in3
If 1 in3 = 0.55 oz, and 1 mold = 4.71 in3, then one mold = 2.59 oz
2.59 oz * 10 cupcakes = 25.9 oz total
Step-by-step explanation:
the volume of a cone is
pi×r² × h/3
the radius is always half of the diameter, so, it is here
12/2 = 6 in.
h = 10 in.
so, we have here
pi×6²×10/3 = 3.14 × 36 × 10/3 = 3.14×120 = 376.8 in³.
2 cupcakes have then
376.8 × 2 = 753.6 in³
1 in³ = 0.55 ounces
so, the weight of 2 such cupcakes is
0.55 × 753.6 = 414.48 ounces ≈ 414.5 ounces
5 / 949 If they decide to drive 949 mi to Denver instead, how many miles will they drive each day?
Coffee Tea
17
New York 43
Chicago 21 39
Did a larger percentage of people in New York or Chicago prefer coffee?
Answer:
A larger percentage of people in New York prefer coffee
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-7
1) 1/7. 3). 1. 5). 49. yes this is right answer