[tex]Which point is closer to the line y=1/2x+4, A(-2,6) or B (4,3)?[/tex]
Answers
9514 1404 393
Answer:
neither; they are the same distance from the line
Step-by-step explanation:
The distance of point (x, y) from line ax+by+c=0 is given by ...
d = |ax +by +c|/(√a² +b²)
Since we're using the same line for both points, we only need to evaluate ...
d = |ax +by +c|
Subtracting y can put the equation in the desired form:
1/2x -y +4 = 0
__
For point A, the expression of interest evaluates to ...
|(1/2)(-2) -(6) +4| = |-1-6+4| = 3
For point B, the expression of interest evaluates to ...
|(1/2)(4) -(3) +4| = |2-3+4| = 3
These values tell us the points are the same distance from the line.
_____
The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.
![[tex]Which Point Is Closer To The Line Y=1/2x+4, A(-2,6) Or B (4,3)?[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/Vyc98gcYfxEUHMMbvdeVdJu7eXa3VS7a.png)
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The radius of a circle is 4 centimeters.what is the area
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Work out
51.43% of 377.59cm
Give your answer founded to 2 DP
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Answer:
194.194537 centimeters
Step-by-step explanation:
Answer:
194.19cm
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HELP PLEASE!! I WILL GIVE BRAINLIEST
Kevin went to the nursery and bought a 5 ft tall tree. After planting the tree, Kevin made a table to record the
height, h, of the tree, t years after it was planted. Verbally describe the relationship between h and t. (make an equation to illustrate the relationship between the height of the tree
and the number of years since it was planted. How tall will the tree be in 8 years?)
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3) If the slope of PQ is 4 and the slope of OR is – 1/2 , find the slope of SR so that PQRS is a parallelogram.
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Answer:
Step-by-step explanation:
the anwser is 1/3
Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 2626 thousand dollars and 2 22 thousand dollars, respectively. Suppose we select one of these cars at random. Let X = X=X, equals the sale price (in thousands of dollars) for the selected car.
Answers
Complete question :
Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X represent the sale price (in thousands of dollars) for the selected car.1. Find P(26< X<30) You may round your answer to two decimal places
Answer:
0.48
Step-by-step explanation:
Mean, m = 26000 ; Standard deviation, s = 2000
P(x < x)
Zscore = (x - m) / s
P(26< X<30) ;
P[(26 - 26 / 2) < (30 - 26) / 2)]
P[(0 < Z < 2)]
P(Z < 2) - P(Z <0)
Using a z table of z calculator, we can obtain the probabilties of the Z value :
0.97725 - 0.5
= 0.47725
= 0.48 ( 2 decimal places)
Which of the following is the graph of y = negative StartRoot x EndRoot + 1? On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1. On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1. On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.
Answers
Answer:
B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.Step-by-step explanation:
Graph of the function:
y = -√x + 1The domain is x ≥ 0, the range y ≤ 1
Correct answer choice is B
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.The graph is attached
Answer: it’s B
Step-by-step explanation: got it right on edge 2021
POR QUE ES IMPORTANTE LA GEOMETRIA EN NUESTRA VIDA
Answers
Step-by-step explanation:
La geometría permite a los estudiantes conectar objetos cartográficos en el aula con contextos del mundo real con respecto a la dirección y el lugar. La comprensión de las relaciones espaciales también se considera importante en el papel de la resolución de problemas y las habilidades de pensamiento de orden superior.
Line segment JK has endpoints at J(-3,4) and K(3,6). Which is an equation of a line that is perpendicular to line segment JK and passes through the point (3,-12)
Answers
Answer:
y = -3x - 3.
Step-by-step explanation:
Find the slope of the line JK:
Slope = (6-4)/(3- (-3))
= 2 / 6
= 1/3.
Therefore the slope of the line perpendicular to it is - 1 / 1/3
= -3.
Now we use the point-slope form of a line to get the required equation:
y - y1 = m(x - x1)
Here m = -3 and (x1, y1) = (3, -12) so we have
y - (-12) = -3(x - 3)
y + 12 = -3x + 9
y = -3x + 9 - 12
y = -3x - 3 is the answer.
write the fraction in ascending order.
Answers
from most to least:
i: 1/2, 1/3, 1/7, 1/10
ii: 2/3, 2/5, 2/9, 2/11
iii: 5/6, 3/4, 2/3, 1/2
iv: 4/5, 3/4, 5/8, 1/2
Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
How much money will be in that account at the end of 4 years? Round your answer to the nearest
cent
Answers
=====================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.0085/1)^(1*4)
A = 1034.43596172007
A = 1034.44
---------------------
Notes:
P = 1000 is the deposit or principalr = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085n = 1 represents how many times per year we're compounding the money (ie annually)t = 4 = number of yearsThe result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)
Answers
Answer:
3(4y + 6)
6(3 + 2y)
2(9+6y)
Step-by-step explanation:
When factored, all of them are equivalent to 12y + 18.
Answer:
6(2 + 3y), 6(3 + 2y), and 3(4y + 6)
Step-by-step explanation:
6(2 + 3y)= 18y+12
2(6 + 9)=30
209 + 6y)= can't factor
6(3 + 2y)= 12y+18
3(4y + 6)=12y+18
hope this helps :)
Help! What is the slope of the line represented by the equation y = 4/5 x - 3?
A) -3
B) -4/5
C) 4/5
D) 3
Answers
Hope this helped!
in the presidential election of 1860, 39.9% of the voters voted for abraham lincoln and 29.4% of the voters voted for stephen douglas. what percent voted for other candidates?
Answers
Answer:
It's 30.7%
Step-by-Step Explanation:
Plz help meeeeeeee !!!!!
Answers
Answer:
answer is A
Step-by-step explanation:
simplify: -28+2r+3r+5
simplify more: 5r-23
-28+2r +3r+5
-23+5r
so, the answer is A
Hope this helps!! :)
In ΔXYZ, x = 24 inches, y = 43 inches and z=47 inches. Find the measure of ∠Y to the nearest 10th of a degree.
Answers
Answer:
29.2
Step-by-step explanation:
arctan=24/43
Answer:
The correct answer is 65.5
Step-by-step explanation:
Just took a test on DeltaMath.
Find the slope of the line represented by the table of values.
A)
12
5
B)
D)
Answers
Answer:
B 4456448444424346464646464664646464
plz solve it and help me for it
Answers
Given:
Base angle of an isosceles triangle is 15 degrees more than its vertical angle.
To find:
The measure of each angle of the triangle.
Solution:
Let x be the vertical angle. Then,
One base angle = x+15 degrees
We know that base angles of an isosceles triangle are equal.
Another base angle = x+15 degrees
Now, the sum of all angles of a triangle is 180 degrees by the angle sum property.
[tex]x^\circ+(x+15)^\circ+(x+15)^\circ=180^\circ[/tex] (Angle sum property)
[tex](3x+30)^\circ=180^\circ[/tex]
[tex]3x+30=180[/tex]
[tex]3x=180-30[/tex]
[tex]3x=150[/tex]
Divide both sides by 3.
[tex]x=\dfrac{150}{3}[/tex]
[tex]x=50[/tex]
The measure of base angles is
[tex](x+15)^\circ=(50+15)^\circ[/tex]
[tex](x+15)^\circ=65^\circ[/tex]
Therefore, the measure of angles are 50°, 65° and 65°.
What is the solution to the system of equations below?
y = two-fifths x minus 3 and x = –10
Answers
y = -7
Explanation:
y = 2/5x - 3
x = -10
y = 2/5(-10) - 3
y = -4 - 3
y = -7
Answer:
y = 1
Step-by-step explanation:
Substitute -10 for x so the equation would be y=2/5-10-3
that would then be y=4-3
which would equal 1
how to solve 15x^3/4
Answers
Answer:
3
Simplify —
4
Equation at the end of step
1
:
3
15x • —
4
STEP
2
:
Final result :
45x
———
4
Step-by-step explanation:
Answer:
Well...without the x I know it is 843.75 but I don't know the fraction of it so sorry! I try my best to help people!
answer the quetions please look below
Answers
Answer:
38 in^2 and 26 in^2
Step-by-step explanation:
1. The formula of the area of a trapezoid is [tex]A = \frac{1}{2} (b_{1} + b_{2})h[/tex] where b = base and h = height.
So, [tex]A = \frac{1}{2} (7+12)(4)[/tex] = 38 [tex]in^{2}[/tex]
2. [tex]A = \frac{1}{2}(5+8)(4)[/tex] = 26 [tex]in^{2}[/tex]
No, Betsy is not correct. She likely forgot to multiply by 1/2 when calculating the area. The correct answer is 26 inches squared.
Combine like terms
(3x^2−10x+4)+(10x^2−5x+8)
I will give brainliest
Answers
Answer:
13x^2-15x+12
Step-by-step explanation:
Please help, I have ask it 5 times. Please.
Answers
Answer:
Pair 1: GM and LJ
Pair 2:HI and LM
Step-by-step explanation:
The markings on the line show which lines are congruent to each other. This means that line HI and ML are congruent because they have similar markings. And you could say the same for line JL and MG because it has 2 lines that mark it as congruent to eachother.
So basically your answers are GM and LJ as one pair and HI and LM as another
I need help with this
Answers
9514 1404 393
Answer:
perimeter: 20 unitsarea: 27.5 square unitsStep-by-step explanation:
We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...
P = 5s = 5(4) = 20 . . . units
__
The area is given by the formula ...
A = (1/2)Pa
where P is the perimeter and a is the apothem--the distance from the center to one side.
The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...
A = (1/2)(20)(2.75) = 27.5 . . . square units
Given the function f(x) graphed on the coordinate plane 15
below, determine f(3).
F(3)= ?
Answers
Answer:
2
Step-by-step explanation:
A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Answers
Answer:
35/9 inches
Step-by-step explanation:
you can put this in a mixed fraction, its still correct:
3 8/9
The area of the rectangle is 35/9 square inches.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the area of a rectangle,
We multiply the length by the width.
Length = 2 1/3 = 7/3 inches
Width = 1 2/3 = 5/3 inches
Area = Length x Width
Area = (7/3) x (5/3)
Area = 35/9 square inches
Therefore,
The area of the rectangle is 35/9 square inches.
Learn more about rectangles here:
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(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Answers
Answer:
option D
Step-by-step explanation:
option D is the correct answer .
plz mark my answer as brainlist.
What is the slope of the line
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
When finding the slope, pick two points on the linear line.
( -1.5, -1) (0.5, 0)
-1.5 is x1
-1 is y1
0.5 is x2
0 is y2
Place these numbers in a slop formula.
m = [tex]\frac{0 - (-1)}{0.5 - (-1.5)}[/tex] = [tex]\frac{1}{2}[/tex]
(m means slope)
Slope = [tex]\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
What is the y-intercept
Answers
Step-by-step explanation:
To find the y intercept we need to find slope first which can be done by taking 2 points and using the slope formula
5 - 10
---------- = -5/3
12--9
The slope is -5/3 now we take one point substitute the slope in and find the y intercept
5=-12( -5/3) +b
5= 20+ b
-15 =b
The y-intercept is -15
The 75 students in the high school band are going on a trip. The total cost of the trip is $1,410. Each student will pay the same amount. How much will each student have to pay?
Answers
Simplify the following expression 2n+6+4y-8
