Answer:
[tex](\frac{17}{18}, \frac{23}{6})[/tex]
Step-by-step explanation:
D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]
D2 = [tex]\sqrt{x^2 + y^2}[/tex]
Then set D1 = D2, and substitute in y = 3x+1
[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]
[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]
[tex]18x = 17[/tex]
x = 17/18
Then to find y, substitute back in x for y = 3x + 1
[tex]y = \frac{17}{18} * 3 + 1[/tex]
y = 23/6
The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Here,
The equation of straight line is y = 3x + 1
And, it is equidistant from the origin and (-3, 4)
We have to find the coordinates of the point on the straight line.
What is the distance between the two points?
The length of the line segment that connects the two given points, is called distance between two points.
Now,
Let the point (x, y) on the line y = 3x + 1.
Distance between the points (x, y) and (0, 0) is;
[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]
[tex]D = \sqrt{x^{2} +y^{2} }[/tex]
And, Distance between the points (x, y) and (-3, 4) is;
[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]
[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]
Equating both distance we get;
[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]
And, To find y put the value of x in y = 3x + 1, we get;
[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]
Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
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8x + 2y = 18
what is the literal equation
Answer:
Step-by-step explanation:
For x:
8x = 18 - 2y
x = (18 - 2y)/8
For y:
2y = -8x + 18
y = -4x + 9
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural Number Natural Number Whole Number
Answer:
1/3 is a rational number
Step-by-step explanation:
PLEASE QUICK WILL GIVE BRAINLIEST Which statement describes the cost to park as a unit price?
Answer:
The 3rd choice you gave.
Step-by-step explanation:
A unit price has to have 1 in the denominator. So the 3rd choice is correct
I hope this helped! Sorry for answering so late
Answer:
The answer is (C)
Step-by-step explanation:
hope this helps :)
If the sum of 3 and y is the sum of 2 and 2
Answer:y=1
Step-by-step explanation:
Answer:
y=4/3
Step-by-step explanation:
3+y=2+2
3y=4
y=4 divided by 3
y=4/3
The graph shows the favorite colors chosen by some middle school students. Which statement is supported by the information in the graph?
Answer:
Um you didnt attach a file or anything make one again and ill answer it just attach a screenshot of the problem
Step-by-step explanation:
Answer:The answer is C :exactly 18% of the students chose blue as their favorite color.
. If T is the midpoint of SU, what are ST, TU, and SU?
Step-by-step explanation:
We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:
5x = 3x + 32
2x = 32 x = 16
ST = 5x = 80
So TU = 80
and SU=160
Answer: Second choice
Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom side of the scaled copy?
Answer:
The length of bottom side of the scaled copy is 12 u
Step-by-step explanation:
To solve this problem we have to know that to calculate the area of a triangle we use the following formula
a = area
b = base
h = height
a = b * h
In the triangle A the base and the height are equal to 3
b = h
Now that we know that b & h we can calculate the base of the scaled copy
72 u² = b * b
72 u² = (b)²
√(72 u²) = b
12 u = b
The length of bottom side of the scaled copy is 12 u
the ordered pair (a,b) gives the location of point P on the coordinate plane. The value of b is negative. The value of a is not 0. Where could point P be located on the coordinate plane?
Answer:
P can be located anywhere below the x-axis but not directly on the y-axis
Step-by-step explanation:
To start, "a" refers to the x coordinate for P and "b" is the y coordinate. The y axis is the vertical line on a graph and anything below the point of 0 is negative. If x can't be 0, that also means that it can't be on the y axis. So, if the x coordinate can be any number and y is negative, P can be anywhere below the x-axis and not on the y-axis (drawing a graph will help with understanding, too).
Two angles are supplementary if the sum of their measures is 180.
someone please help me
if 8 people shared 44 crackers equally how many crackers does each person get
Answer:
Each person gets 5 and 1/2 crackers.
Step-by-step explanation:
44/8=5.5
Answer: each person gets 5 and 1/2 crackers
What is the slope of the line that passes through the points:
(6,-4), (15,-4)
-8/21
0
-8/9
Undefined
Answer:
0
Step-by-step explanation:
m=[-4-(-4)]÷[15-6]=0
true or false, the mean, median, and mode of 1, 2, 3, 4, 5 are all the same answer.
Answer:
No
Step-by-step explanation:
No. The mean and median would both be three, but since all the numbers are different, there IS NO mode.
(4a - 6) (30-26 +5)
Answer:
36a-54
Step-by-step explanation:
(4a - 6) (30-26 +5)
(4a - 6) (9)
36a-54
plz mark as brainliest if it helps
Witch statment describes a unit rate 1 sara ate 1 cookie 2 sara is driving 16 miles 3 sara is driving 30miles per hour 4 sara ate three crackers and 1 apple
Answer:
3; Sara is driving 30 miles per hour
Step-by-step explanation:
Here in this question, we want to select which of the options represent what a unit rate is.
When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.
Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow
Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred
Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time
Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know
A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particular performance, how many people attended? If the average ticket sold for $20, how much was collected at the box office? Need to write an equation. Thanks
Answer:
The number of people that attended the performance = 2,254
Amount collected at box office = $45,080
Step-by-step explanation:
For the theater to sell out a performance, it means it was filled to the brim( completely filled)
We have 7 sections, with 23 rows each
The total number of rows will be 23 * 7 = 161 rows
Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats
Secondly we want to know how much was collected at the box office given the average ticket price
The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080
What is the slope of the line that connects the points
(-2,6) and (4,0) ?
Answer:
[tex]m=-1[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{0-6}{4-(-2)}[/tex]
[tex]m=\frac{-6}{4+2}[/tex]
[tex]m=\frac{-6}{6}[/tex]
[tex]m=-1[/tex]
The price of apples can be determined by the equation P = 0.23n, where P is the price and n is
the number of apples. What is the constant of proportionality (unit rate)?
Answer:
0.23
Step-by-step explanation:
Basically, the unit rate is how much its increasing every time you add on. So if it were 2+2+2 the unit rate would be 2! Hope this helps!
Look at the number in the place-value table. The value of the 8 in the hundreds
place is how many times the value of the 8 in the tens place?
Hundred
Thousands
Ten
Thousands
Thousands
Hundreds
Tens
Ones
6
5
S
S
0
(3) 100
>) 10
») 80
0800
Oh
Answer:
10 times the value
Step-by-step explanation:
The value of 8 in the hundreds place (800) is 10 times the value of 8 in the tens place (80).
I figured this out by dividing 800 by 80 = 10.
(1873-9y2+x-21) = (3x-4)
Answer:x= −9 /2 y^2+928
Step-by-step explanation:
Find the indicated angle measurement
Answer:
by adding both the given angle we will get
78+69
Step-by-step explanation:
=141
Bonjour je suis en 3 ème pouvez vous m'aider s'il vous plaît une voiture met 2 h 30 pour faire 200 km 1. Calculer sa vitesse moyenne en km/h 2. Calculer la distance parcourue en a ) 3h 15 b) 42 min c) 3h 36 min 3. Calculer le temps mis pour parcourir 540 km
Répondre:
Explication étape par étape:
Vitesse = Distance / Temps
Distance donnée = 200 km
Durée = 2 h 30
Convertir le temps en heures
Depuis 60 minutes = 1h
2 heures 30 minutes = 2+ (30/60)
2h30 = 2 + 1/2 hors
2 heures 30 minutes = 2,5 heures
Vitesse en km / h = 200 km / 2,5 h
Vitesse en km / h = 80 km / h
D'où sa vitesse moyenne en km / h est de 80 km / h
a) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 3h15
Temps = 3 15/60 h
Durée = 3,25 h
Distance = 80 * 3,25
Distance parcourue en 3h15 = 260 km
b) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 42 minutes
Durée = 42/60 h
Distance = 80 * 42/60
Distance = 3360/60
Distance = 56 km
Distance parcourue en 42 minutes = 56 km
c) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 3 h 36 minutes
Temps = 3 36/60 h
Durée = 3,6 h
Distance = 80 * 3,6
Distance = 288 km
Distance parcourue en 3 h 36 min = 288 km
d) Distance donnée = 540 km
Vitesse = 80 km / h
Temps = Distance / Vitesse
Heure = 540/80
Temps = 6,75 heures
Par conséquent, le temps nécessaire pour parcourir 540 km est de 6,75 heures
Is 0.35217534 a rational
Answer: YES
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is in integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
--------------------------------------------------------------
0.35217534
It is a terminating decimal, which fits the third point.
So it is rational.Hope this helps!! :)
I need help with this geometryyyy workkk
Answer:
Perpendicular
Step-by-step explanation:
For this problem, it is important to note two things. One line is completely vertical, and the other line is completely horizontal.
The line y=9 is completely horizontal at the y-value at 9. The line x = 2 is completely vertical at the x-value at 2.
Hence, these two lines would be perpendicular.
Cheers.
Answer:
Perpendicular.
Step-by-step explanation:
Since it makes a huge cross +, which we want it to be, we need the lines to intercept and it makes a right angle. That means it is perpendicular.
How many solutions are there to the equation below?
6x + 30 + 4x = 10(x+3)
O A. 1
B. Infinitely many
O c. o
Answer:
B
Step-by-step explanation:
6x + 30 + 4x = 10(x+3)
10x + 30 = 10x + 30
0 = 0
What is the value of y in the solution to the following system of equations?
5x – 3y = -11
2x - 5y = -14
Answer:
{x,y} = {33/19,-2/19}
Step-by-step explanation:
Answer: For 5x-3y=-11, the answer is y=11/3 + 5x/3.
For 2x-5y=-14, the answer is y=14/5 + 2x/5
Step-by-step explanation: Move all terms that do not contain y to the right side and then solve.
I hope this helps you out! :)
(20 points & brainliest)
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1, so the answer is 1.
Similar triangles assignment
Answer:
Not similar
Step-by-step explanation:
Answer:
D. Not Similar
Step-by-step explanation:
It's not A because AA doesn't prove congruence.
It's not B because SSS is not on the diagram, unless it's given that three sides are congruent to each other.
It's not C because there's not any sides that are congruent to one another unless it is given.
Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest
radical form
Answer:
32r2, 128 cm ^2
The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
What is a square?A square is a parallelogram, whose all sides are congruent and all angles are right angle.
Given that, a square with diagonal length 16 cm
Let the side of the square be a,
We know that, all sides of a square are congruent,
And, the diagonal divides it into two congruent right triangles,
Therefore, using Pythagoras theorem,
a²+a² = 16²
2a² = 256
a² = 128
a = 8√2
Area = side²
Therefore, area = 128 cm²
perimeter = 4×sides = 32√2 cm
Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
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5
A triangular shaped park
has side walks that are
30 feet, 40 feet, and 50
feet long. Does the
sidewalk make a right triangle