Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.
The distance is about
miles.
Answers
The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)
The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.
We know the location of the stadium, [tex]S=(-6,6)[/tex]
The point of intersection can be obtained by solving the simultaneous equations
[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]
since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]
[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]
Substitute this value of [tex]x[/tex], into the equation for Pine avenue
[tex]y-2x-12\\=2(6)-12\\=0[/tex]
The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]
To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,
[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]
The distance is [tex]13.4miles[/tex]
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Related Questions
If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 10 + (-60) represent?
Answers
Answer:
A $10 deposit followed by a $60 withdrawal
Step-by-step explanation:
The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.
The slope of a line is −3, and a point on the line is (4,−1).
Question 1
Part A
What is the equation of the line expressed in slope-intercept form?
Answers
Answer:
Y= -3x + 11
Step-by-step explanation:
Y= -3x + 11 (-3x is your slope and 11 is your y intercept)
A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?
Answers
Using complex numbers and radicals, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
Hence, since 8i is a root of the function, -8i is also a root.The same is valid for radicals, as they are in the [tex]\pm[/tex] format.
Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.Hence, option C is correct.
For more on complex numbers and radicals, you can check https://brainly.com/question/25173944
find the domain of y= 2/3 square root of x+5-4
Answers
√
x
−
5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x
−
5
≥
0
x
-
5
≥
0
Add
5
5
to both sides of the inequality.
x
≥
5
x
≥
5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,
∞
)
[
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
5
}
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
{
y
|
y
≥
0
}
Determine the domain and range.
please help I give you 30 points
Answers
Answer:
The last one, 14 3/4
Step-by-step explanation:
I hope this helped :)
find the perimeter of a rectangle whose length is 4cm greater than its height, and whose area is 60 cm^2.
Answers
Answer:
32
Step-by-step explanation:
x=6
and it's x+x+(x+4)+(x+4)
Answer:
80cm
Step-by-step explanation:
Lets have height be x
Then the length would be x+4
So the area would be x*x+4=60
Solve: 2x+4=60, 2x=36, x=18
The height is 18 so the length is 22
The perimeter=18*2+22*2
Result: 80cm
W
Enter the value of x-21.
(x - 21)
71
Answers
(x - 21)(71)
=(x + - 21)(71)
=(x)(71) + (-21)(71)
=71x -1491
write the equation of a line that passes through the points (-7,-4) and (-5,-6)
Answers
Answer:
y=-x-11
Step-by-step explanation:
10x + 4y = 16 in slope intercept form
Show your work please
Answers
[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]
Answer:
y = - 2.5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
10x + 4y = 16 ( subtract 10x from both sides )
4y = - 10x + 16 ( divide through by 4 )
y = [tex]\frac{-10}{4}[/tex] x + 4 , that is
y = - 2.5x + 4 ← in slope- intercept form
The area of the parallelogram is 17.6cm. What is the length of the base
Answers
Answer:
hope it helps
area of parallelogram: base × height = 17.6 cm sq
⇒ 4 × h = 17.6
⇒ h = 17.6/4
⇒ h = 4.4 cm
Step-by-step explanation:
The height of the parallelogram is 4.4 cm.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.
We know that, the area of parallelogram is Base × Height
Now, 17.6 =4× Height
Height =17.6/4
Height =4.4 cm
Therefore, the height of the parallelogram is 4.4 cm.
Learn more about the area here:
https://brainly.com/question/27683633.
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"Your question is incomplete, probably the complete question/missing part is:"
If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .
The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8
Answers
Answer:
12
Step-by-step explanation:
x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12
Answer:
12
Step-by-step explanation:
if x=1 , y =3
if x=4 then y=3×4=12
y=12
pls help me pls help me pls help me
Answers
Answer:
d. 210
Step-by-step explanation:
well for the first textbook you have 7 options
for the 2nd placeholder you have 6 options
and the 3rd you have 5
so its 7x6x5 which is 210 different combinations
thx for 50 points :D
What is an included angle and an included side?
A: Included Angle: A 90 deg angle
Included Side: The longest
side
B: Included Angle: An angle between two angles
Included Side: A side between two sides
C: Included Angle: An angle between two sides.
Included Side: A side between two angles
Answers
Answer:
C
Step-by-step explanation:
Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers
Answers
Answer: All real numbers.
Step-by-step explanation:
4(a+3) = 12 + 4a
4a + 12 = 12 + 4a
Any value of a will work in this equation, since it is a simple identity. 4a + 12 will always equal 4a + 12, regardless of a.
All real numbers, although I don't know why imaginary numbers wouldn't also work.
All reall numbers
HELP ME PLEASE 20 POINTS
In a certain chemical the ratio of zinc to copper is 4 to 17 a jar of the chemical contains 595 grams of copper. How many grams of zinc does it contain
Answers
Answer:93 grams Zinc
Step-by-step explanation:3 Zinc : 13 Copper
x 31 x 31
93 Zinc, 403 Copper
or
set up a proportion, cross multiply, and solve for the variable:
3(403) = 13(x)
3(31) = x
93 = x
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answers
Answer:
See belowStep-by-step explanation:
1)
x + 5 = 12, subtract 5 from both sides
x = 7
Subtraction property of equality
a = ba - c = b - c2)
x + y = 20 and y = 5, substitute 5 into first equation
x + 5 = 20
Substitution property of equality
a + b = c and b = da + d = c3)
2x - 3 = 11, interchange the sides of equality
11 = 2x - 3
Symmetric property of equality
a = bb = aAnswer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?
Answers
Number of ice cream produced before = 45
Number of ice cream produced after = 54
Find:Percent of speed the machine increase
Computation:Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
Learn more:https://brainly.com/question/15013012?referrer=searchResults
Percent of speed the machine increase is 20%
HELP HELP HELP HELP HELP What is the range of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Answers
======================================================
Explanation:
The smallest data value is 13. This is due to the stem 1 and leaf 3.
The largest is 47. This is from the stem 4 and leaf 7.
The span between these items is 47-13 = 34
HELP PLZZ! DUE IN 15 MIN!! plz explain your answer to
Answers
Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.
Hoped this helped
[tex]BrainiacUser1357[/tex]
A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)
What is the area of the sector ?
Answers
Answer:
8πcm² = 8pi cm²
Step-by-step explanation
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
a
The eighth-grade class has a total of 162 students. The students need to be
divided evenly into homerooms. There needs to be at least 20 students in
each homeroom. List all the possible combinations. Which combination
makes the most sense? Explain.
Answers
Answer:
162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.
Step-by-step explanation:
Refer to the answer.
Answer:
56
Step-by-step explanation:
In the opposite figure : The perimeter of triangle ABC = ..... cm.
(a)123.5
(b) 375
(c) 98.5
(d) 108.5
Answers
Answer:
d 108.5
Step-by-step explanation:
assuming that the two angles with this dot * are equal...we can look for their sizes... by using SOHCAHTOA
SO I use tan
tan∅= opposite/adjacent
tan∅= 30/40 = 0.75.......then find the inverse you get 36.87......angles in a triangle adds up to 180.... * =26.57
use SOHCAHTOA again to get ungiven sides
then add ABC to get 108.54 cm as your answer.
I hope this is helping
what is s and what is t?
Answers
Answer:
Step-by-step explanation:
S = 2
T = -2
so in S - T = 4. 2 - -2 = 4
IN S + T = 2 S + - 2 = 2
Y=2x,x+y=9 solve by substitution show work
Answers
Answer:
(3,6)
Step-by-step explanation:
y = 2x
x+y = 9
; x+(2x) = 9
3x = 9
x = 3
y = 2x
y = 2(3)
y = 6
Hello there here is the problem you gave us
[tex]y=2x,x+y=9[/tex]
You want to us to solve this by substitution,
_______________________
[tex]y=2x[/tex] [tex]x= \frac{1}{2}y[/tex]_______________________
we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation
[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]
_______________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=3[/tex] [tex]y=6[/tex] Have a good day :) !In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g (x) = x-5/2 to determine if f(x) and g(x) are inverse of each other.
Answers
Answer:
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and to determine if f(x) and g(x) are inverses of each other?
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?
Answers
After 23 years
hope this is helpful!
write a polynomial function in standard form with the given zeros x=1,-1,-2
Answers
Answer:
y = x³ +2x² -x -2
Step-by-step explanation:
A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...
y = (x -1)(x +1)(x +2)
y = (x² -1)(x +2) . . . . . . partial simplification
y = x³ +2x² -x -2
In the past year Jina watched 36 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
It is 21.6
hope this helps
Can someone help me with this question
Answers
Answer:
what is the lesson? abot?
Step-by-step explanation:
A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?
Answers
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × b × h
b = length of the baseh = heightWe can sub in the values we know:
16in² = 1/2 × b × 4in
To find b, we divide both sides by 1/2 and 4in:
16in² ÷ (1/2 × 4in) = b
16in² ÷ 2in = b
b = 8in
Hope this helps!