Given:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
To find:
The equation of the perpendicular bisector of NY.
Solution:
Midpoint point of NY is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)[/tex]
[tex]Midpoint=\left(-4,1\right)[/tex]
Slope of lines NY is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-3-5}{3-(-11)}[/tex]
[tex]m=\dfrac{-8}{14}[/tex]
[tex]m=\dfrac{-4}{7}[/tex]
Product of slopes of two perpendicular lines is -1. So,
[tex]m_1\times \dfrac{-4}{7}=-1[/tex]
[tex]m_1=\dfrac{7}{4}[/tex]
The perpendicular bisector of NY passes through (-4,1) with slope [tex]\dfrac{7}{4}[/tex]. So, the equation of perpendicular bisector of NY is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-1=\dfrac{7}{4}(x-(-4))[/tex]
[tex]y-1=\dfrac{7}{4}(x+4)[/tex]
[tex]y-1=\dfrac{7}{4}x+7[/tex]
Add 1 on both sides.
[tex]y=\dfrac{7}{4}x+8[/tex]
Therefore, the equation of perpendicular bisector of NY is [tex]y=\dfrac{7}{4}x+8[/tex].
1. A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost
y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph
of the equation is shown. Describe what the slope and y-intercept represent.
Answer:
the slope is 10 dollars times how many ever shirts
the y-intercept is the design put on the shirt which costs 25
Solve for the variable 4-14=5x
Answer:
X = 2
Step-by-step explanation:
4-14=5x
10=5x
10/5=5x/5
2=x
Answer: x = -2
Step-by-step explanation:
Let's solve your equation step-by-step.
4−14=5x
Step 1: Simplify both sides of the equation.
4−14=5x
4+−14=5x
(4+−14)=5x
(Combine Like Terms)
−10=5x
−10=5x
Step 2: Flip the equation.
5x=−10
Step 3: Divide both sides by 5.
5x/5=−10/5
x=−2
Mr Tan bought a house for $410 000. He paid a deposit of 30% and took on a loan for the remaining amount. How much was his loan? Give your answer
correct to the nearest ten thousands.
Answer:
The amount of the loan Mr. Tan borrowed was $ 287,000.
Step-by-step explanation:
Since Mr. Tan bought a house for $ 410,000, paying a deposit of 30% of its value and requesting a loan for the rest of its value, to determine the amount of the loan, the following calculation is required:
100 - 30 = 70
410,000 x 0.70 = X
287,000 = X
Therefore, the amount of the loan Mr. Tan borrowed was $ 287,000.
Fill in the blank
A small scoop of ice cream holds 75% as much as a large scoop of ice cream.
If the small scoops holds 36 ounces, how much does the large scoop hold? _______________ ounces.
Answer:
48 ounces
Step-by-step explanation:
75% of x = 36
= 0.75x = 36
Dividing both sides by 0.75 we get:
x = 36/0.75
x = 48 units
The large scoop can hold 48 ounces.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: A small scoop of ice cream holds 75% as much as a large scoop of ice cream. Let the large scoop hold x then as per question we have x×0.75=36
x= 48
Hence, The large scoop can hold 48 ounces.
Learn more about percentages here:
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A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 Refer to Exhibit 3-2. The coefficient of variation is _____.
Answer:
81.24%
Step-by-step explanation:
First we solve for the variance
Sample space of
3,5,12,3,2
n = 5
Variance = s²
= (3-5)²+(5-5)²+(12-5)²+(3-5)²+(2-5)²/5-1
= 4+0+49+4+9/4
S² = 66/4
= 16.5
Secondly we find the standard deviation
= √16.5
= 4.062
Coefficient of variation
Cv = sd/mean x 100
= 4.062/5 x 100
= 406.2/5
= 81.24%
this is 10 points, PLS help
Answer:
Sound can travel 12 miles per minute.
Step-by-step explanation:
Speed equation is distance divided by time.
So we have 1 mile per 1/12 of a minute.
Let’s write the equation.
Speed of sound = 1 / 1/12
Multiply by the reciprocal.
1 * 12 = 12.
Joe paid $14.00 for a board game. This is 70% of the original price. What was the original price?
Answer:
69.99
Step-by-step explanation:
Answer:
23.80
Step-by-step explanation:
Helpp me pleasee correct answers! (10 points )
Answer: Approximately 30.4 degrees
=========================================================
Work Shown:
324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.
The adjacent side is 550 since it is the leg closest to the angle theta.
We'll use the tangent rule to connect the two sides
tan(angle) = opposite/adjacent
tan(theta) = 322.4/550
theta = arctan(322.4/550)
theta = 30.3780566013696
theta = 30.4
Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.
A man drove 280 miles in 3.5 hours. If the posted speed limit was 65 miles per hour the entire way how many miles was he driving
Answer:
80
Step-by-step explanation:
In a card game it is possible to have negative score. If Laura starts with a score is 10 what will be her new score if she loses 38 points ?
Answer:
28
Step-by-step explanation:
10-38=28
$&#:÷&#&;#&$;'ebsjdkeowkdbs;#&$;'fbxjrbxjr
please answer fast:(((
Answer:
5
Step-by-step explanation:
I would say 5 because it looks like an isosceles triangle and isosceles triangles have two equal legs on a triangle.
What the slope of (-2, 3) and (-8, -1)
Answer:
slope of given points are;(y2-y1)÷(x2-x1)
=(-1-3)÷(-8+2)
= -4÷-6
=2/3
The length of a rectangle is three times its width. If the area of the rectangle is 243 m squared, find it’s perimeter
Answer: 72
Step-by-step explanation:
L= 3W
area of a rectangle A= LxW
replace L with 3 W
A=3W*W= 3w^2
243=3W^2
243/3=W^2
81=w^2, and W=9
L=3*9=27
P= (L+W)=2(27+9)=72
What is the equivalent ratio of 3/10
Answer:
6/20
Step-by-step explanation:
multiply 3 x 2 then 10 x 2 and you will have an equivalent ratio. Theres alot more of them but heres a simple one.
Answer:
6/20
12/40
24/80
Step-by-step explanation:
Daniel wanted to make note cards by cutting pieces of paper in half. Before starting he got three more pieces to use. When he had 20 half-pieces of paper. With how many did he start with? ( I need the step by step how to solve this)
Answer:
10
Step-by-step explanation:
before he started, he had 7 pieces of paper and then grabbed 3 more = 10 sheets of paper
he took those sheet and cut them in half so...
10 sheets cut in half = 20
Answer: 20
Step-by-step explanation:before he started, he had 7 pieces of paper and then grabbed 3 more = 10 sheets of paper
he took those sheet and cut them in half so...
10 sheets cut in half = 20
Enter a range of values for x.
+
42°
3x+156
23
21
[ ? ]

Answer:
-5<x<9
Step-by-step explanation:
It took me a while to find figure it out.
Draw a rough sketch of the graph of f(x)=(x+1)^2(x-4). Insert a picture of your sketch below.
WILL GIVE BRAINLIEST PLS PLS HELP
Answer:
I will help you since you asked :) sorry for taking so long
step explanation:
The solution is f ( x ) = ( x + 1 )² ( x - 4 )
What is Equation of Graph of Polynomials?
Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
The equation is f ( x )
f ( x ) = ( x² + 2x + 1 ) ( x - 4 )
On Simplifying the equation , we get
f ( x ) = ( x³ - 4x² + 2x² - 8x + x - 4 )
Now , this is a polynomial equation and can be plotted on a graph and is shown below
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What does a polygon look like
A polygon looks like this,
what is the slope of line
x -3,-2,-1,0
y 6,4,20?
PLEASE HELP ASAP
What is $6.00÷1.50? Please give me the right answers
Answer:
4
Step-by-step explanation:
Answer:
$4.00
Step-by-step explanation:
I used a calculator.
Solve the following proportion for u.
5
7
11
Round your answer to the nearest tenth.
whats 2+2 lollololololololololololololololololololo
Answer:
4ssssssssssssssssssssssssssss
[IMAGE ATTACHED]
Please help me with 9
Answer:
C=35x+75
It would cost $425 for 15 people
Step-by-step explanation:
Alicia took a survey to determine her classmates’ favorite pets. She wrote the results on the board. Select whether each statement is true or false
Answer:
c
Step-by-step explanation:
52:54
If f(x) = 6x – 4, what is f(x) when x = 8?
2
16
44
52
Answer: 44
Step-by-step explanation:
f(x)=6x-4
f(8)=6(8)-4
f=48-4
f=44
Answer:
44 is the answer
Step-by-step explanation:
This is right on edg. 2020
Two cups of flour make 23 batch of bread. How many cups of flour make 1 batch?
-4x +8 = 12
what does x =
Answer:
x = -1
Step-by-step explanation:
-4x + 8 = 12
-8 -8
-4x = 4
divide both sides by -4
x = -1
Hope this helps!!!
Union City Bakery uses a chocolate chip muffin recipe that yields 1/2 cup of milk for every batch of 12 chocolate chip muffins. Based on the recipe:
* How much milk is needed to make each muffin?
* How much milk in needed to make 24 chocolate chip muffins?
Answer:
Grease bottoms only of 12 muffin cups or line with baking cups. ... I made some changes to the recipe;
Step-by-step explanation:
I added 1 cup milk, 1 cup chips, 1 cup ... was way too much batter for 12 muffins; I ended up making two trays and they were done in 18 minutes. I give it four stars only because of all the changes I had to make
It says to classify what does this mean I be dumb
Any help please I appreciate it
Answer:
12
Step-by-step explanation:
18-6