Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the school to Cherry Street. Round your answer to the nearest tenth.
Answers
Answer:
[tex]11.2[/tex]
Step-by-step explanation:
We can use the distance formula to solve this problem.
This distance formula states that the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to [tex]\sqrt{(\Delta x)^2+(\Delta y)^2}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
School is at coordinate point (9,6) and the closest point to school on Cherry St. is (4,-4).
Thus, the distance between school and Cherry Street is [tex]\sqrt{(9-4)^2+(6-(-4))^2}=\sqrt{5^2+10^2}=\sqrt{125}=5\sqrt{5}\approx \boxed{11.2}[/tex]
Related Questions
For which rational expression is –2 an excluded value of x?
a.(x-3)/x^2-4
b.(x-3)/x^2+4
c.(x-4)/x^2-3
d.(x+4)/x^2-3
Answers
Answer:
option a is the answer
Step-by-step explanation:
put the value of x in each expression as x = -2
you'll see that in option a the expression becomes
[tex] \frac{x - 3}{ {x}^{2} - 4} = \frac{ - 2 - 3}{ {( - 2)}^{2} - 4} \\ = \frac{ - 5}{4 - 4} \\ = \frac{ - 5}{0} [/tex]
which is not defined. hence -2 is excluded value
The perimeter of a rectangle is 80x. The base is 7 times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x, b = 10x
c.
h = 3x, b = 5x
b.
h = 5x, b = 35x
d.
h = 5x, b = 25x
Answers
and if u should add this equation it will result to [5+5+35+35] it would be equal to 80
Who good at angles ?
Answers
Answer:
JRQ = 56
Step-by-step explanation:
SRQ - SRJ = JRQ
166 - 110 = 56
If g(x) is the inverse of f(x), what is the value of f(g(2)?
Answers
============================================================
Explanation:
g(x) is the inverse of f(x), which tells us that g undoes everything f(x) does.
If we input x = -6 then f(x) outputs 1
g(x) then reverses this to say that g(1) = -6. The inputs and outputs swap roles.
Moving to row 2, we see that f(-3) = 2 which reverses to g(2) = -3
We'll replace the g(2) with -3 to go from
f( g(2) )
to
f( -3 )
-3 isn't the answer, but I wanted to put it in bold to show how the replacement is happening.
From the table, we see that f(-3) = 2 which is the final answer
In other words, f(g(2)) = 2
------------------------------
Side note:
We can say that f(g(x)) = x for any number x in the domain of g(x).
As another example, g(3) = 5 and f(g(3)) = f(5) = 3.
The same works the other way around meaning that g(f(x)) = x.
5x + 1/2 y^2 What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Answers
Answer:
16
Step-by-step explanation:
5x+1/2y^2
5(3)+1/2(2)^2
15+1^2
15+1=16
Evaluate the function
f(8) + g(-1) for the functions f(x) = -2x + 9 and g(x) = x²-2
Answers
Answer:
- 8
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x)
f(8) = - 2(8) + 9 = - 16 + 9 = - 7
Similarly for g(- 1)
g(- 1) = (- 1)² - 2 = 1 - 2 = - 1
Then
f(8) + g(- 1) = - 7 + (- 1) = - 7 - 1 = - 8
What is the solution to this equation? X/4 =-12
A. x = 48
B. X= -3
C. x = -48
D. X= 3
Answers
Answer:
C. x=-48
Step-by-step explanation:
x/4=-12
multiply both sides by 4
4x/4=4 (-12)
simplify
x=-48
A circular table has a radius of 5cm. Decorative trim is placed along the outside edge. How
long is the trim?
Answers
5x2=10 for the diameter of the circle
Then just multiply 10 by pi to get the circumference (outer edge) is the circular table.
Answer=31.41592654
A certain word game contains a large 20-sided die with letters instead of numbers on the sides. If all of the vowels (a, e, i, o, and u) are on the die, then what is the probability of rolling a vowel?
Answers
Answer:
The probability to get the vowel is 1/4.
Step-by-step explanation:
The number of elements in sample space, n(S) = 20
The number of elements in event, n (E) = 5
The probability to get the vowel is
[tex]P(E) =\frac{n(E)}{n(S)}\\\\P(E)=\frac{5}{20}\\\\P(E) = \frac{1}{4}[/tex]
If there are 28 girls and 32 boys in the school’s band, what is the ratio of boys to to total students?
If it takes 2 cups of flour to make 45 cookies, how many cups of flour will it take to make 135 cookies? (hint: set up a proportion.)
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (hint: set up a proportion.)
On a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the cities? (hint: set up a proportion.)
4 questions will mark brainliest 1st to answer them in order
Answers
Answer:
1. 8:15
2. 6
3. 32
4. 12.4
Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answers
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
Can someone help me? It's urgent and thank you!
Look at all the picture's and tell me which one it is do it by A,B,C,D
Answers
Answer:
C
Step-by-step explanation:
It should be C since whenever something is explained by X, the number (which in this case is 3) will be negative on the X axis line. Hope I helped
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
Answers
Answer:
a = k/(4 + 9b)
Step-by-step explanation:
Here, we want to make a the formula subject
We have this as;
k = a(4 + 9b)
a = k/(4 + 9b)
The expression for a fom the give expression is a = k/(4 + 9b)
Subject of formulaGiven the following equation
K = 4a + 9ab
Factor out the GCF
K = a(4 + 9b)
Divide both sides by 4 + 9b
k/4+9b = a(4 + 9b)/4+9b
k/(4 + 9b) = a
Hence the expression for a fom the give expression is a = k/(4 + 9b)
Learn more on subject of formula here: https://brainly.com/question/657646
#SPJ2
PLZZ HELP ASAP AND SHOW WORK PLZ
Answers
Answer:
39 acute isoceleleellsllelsls
Step-by-step explanation:
The angles of triangle always add to 180 degrees. So that angle on the bottom already takes up 102 so 180-102=78 and there are 2 angles left so both of those are 39 because 78/2=39 and 39 is an acute angle since its less than 90 degrees so ya
is due today !! need help (show work/explanation)
Answers
Answer:
Step-by-step explanation:
radius=diameter/2
=8/2
=4 m
volume of a cylinder =πr^2h
=3.14*(4)^2*13
=40.82*16
=653.12 m^3
blahblahblag
Identify each expression as linear or nonlinear.
8xy. Please answer
Answers
Answer:
I want to help but I don't understand the question. Can you plz send a picture of the question
Analyze the diagram below and complete the instructions that follow. find tan
Answers
50 Pts!!!!!!! What is the straight line distance between the points?
Answers
Tony is building a new silo to store corn as animal feed. It will be a cylinder
topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be
filled with corn. Tony wants to minimize the surface area of the silo to reduce
materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
02
Recall that 1 ton = 1000kg
What is the total cost to build, paint, and fill a silo with the least surface area?
Answers
Answer:
its $2,400
Step-by-step explanation:
if this helps please mark brainliest
What is the answer to this question??
Answers
Answer:
12
Step-by-step explanation:
sqrt(144)
What number times itself equals 144
12*12 = 144
-12*-12 =144
Given your choices, your solution is 12
Answer: 12
I hope this helps c:
Wilt Chamberlain scored 100 points in a single basketball game on March 2, 1962. In that game, he made 36 field goals (baskets) in 63 attempts. Find the ratio of field goals to attempts
Answers
Answer:
Field goals: No. of attempts
36:63
4:7 (simplest form)
Hence, the answer is 4:7.
Need help with this ASAP DUE SOON PLEASE AND SHOW WORK
Answers
2x10=20
Length x width
Answer:
The answer is gonna be 20
Step-by-step explanation:
Since its 2 in and 10 in. u have to do 2*10=20
helppp me i need help plzzzzz
Answers
Answer:
x+3y -10 =0
Step-by-step explanation:
In slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/3x +10/3
We want it in the general form ax+by +c =0 where a,b,c are integers and a>0
Multiply by 3 on each side
3*y = 3(-1/3x +10/3)
3y = -x +10
Add x to each side
x+3y = -x+10 +x
x+3y = 10
Subtract 10 from each side
x+3y -10 = 10-10
x+3y -10 =0
The slope of a line is [tex] - \frac{1}{3} [/tex] and the y-intercept is [tex] \frac{10}{3} [/tex]. What is the equation of the line written in general form?
Choices:○ 10x + 3y - 1 = 0
○ x + 3y + 10 = 0
○ x + 3y - 10 = 0
Remember to use this formula:[tex] \quad \quad\quad\quad\boxed{\tt{y = mx + b}}[/tex]
Given that:[tex]\quad \quad\quad\quad\boxed{\tt{Slope (m) = \frac{1}{3} }}[/tex]
[tex]\quad \quad\quad\quad\boxed{\tt{y \: intercept(b) = \frac{10}{3} }}[/tex]
Lets try![tex] \quad \quad\quad\quad\boxed{\tt{y = - \frac{ 1}{3}x + \frac{10}{3} }}[/tex]
Then convert it in general form using this formula:[tex] \quad \quad\quad\quad\boxed{\tt{ax + by + c = 0}}[/tex]
Each side will be multiply by 3[tex] \quad \quad\quad\quad\boxed{\tt{ (3)y = 3(- \frac{ 1}{3}x + \frac{10}{3} )}}[/tex]
[tex] \quad \quad\quad\quad\boxed{\tt{ 3y = \cancel{ \color{red}3}(- \frac{ 1}{ \cancel{ \color{red}3}}x + \frac{10}{ \cancel{ \color{red}3}} )}}[/tex]
[tex] \quad \quad\quad\quad\boxed{\tt{3y = - x + 10}}[/tex]
Let's convert "x" like this.[tex] \quad\quad\quad\boxed{\tt{3y = - x + 10}} \: ➡ \: \boxed{\tt{x + 3y = 10}}[/tex]
Convert "10" like this.[tex] \quad\quad\quad \boxed{\tt{x + 3y = 10}} \: ➡ \: \boxed{ \tt{x + 3y - 10 = 0}}[/tex]
Hence, the answer is:[tex]\quad \quad\quad\quad \boxed{ \color{green}{ \tt{x + 3y - 10 = 0}}}[/tex]
_________
#LetsStudy
PLEASE HELP. URGENT!
Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)
Answers
Answer:
y = -2/5x + 5
Step-by-step explanation:
y = -2/5x + b
7 = -2/5(-5) + b
7 = 2 + b
5 = b
Using laws of exponents,
Answers
The answer is :
- i
I hope this helps
Answer:
-i
Step-by-step explanation:
just did it on edg 2021
F is proportional to a If F = 36 when a = 9 find, a when F = 32
Answers
Answer:
a = 8
Step-by-step explanation:
Given F is proportional to a then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 36 when a = 9
36 = 9k ( divide both sides by 9 )
4 = k
F= 4a ← equation of proportion
When F = 32 , then
32 = 4a ( divide both sides by 4 )
8 = a
Which of the following is a factor of 8x2– 10x– 3?
Answers
Answer:
8x2- 10x- 3 = 46
Step-by-step explanation:
hi please answer me asap I will mark brainlist
Answers
Answer:
1) c
2) b
3) d
4) b
5) c
6) b
7) b
8) d
9) c
write one problem statement for each subject area that stactistics can solve
Answers
Answer:
look in explanation
Step-by-step explanation:
what is the probability of the ball hitting u in dodge ball in pe
what is the ratio of your computer to everyone else's in comp science
how much of your essay did you finish (in a fraction)
how many people are there in psychology class for every notebook?
in a cave, a stalactite gets 4 millimeters longer each year. This year it is 72 centimeters long. How many years until it is 1 meter long?
Answers
lmk if this helped :)