Answer:
x<-4
Step-by-step explanation:
MARK AS BRAINLIST!!
A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
Answer:
1. We would hear better at Dunkin's since its distance from the radio station is the shortest.
2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.
Step-by-step explanation:
1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.
We need to find the distance of each point from the tower.
The shorter the distance from the radio station the better the signal.
The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.
2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.
So, we calculate the distance of each point from the radio station.
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.
So, McDonald's is out of range of the radio station.
Help me out please????
Answer:
fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom
Step-by-step explanation:
Find the measure of the exterior <1 A 130 B 22 C 78 D 102
Answer:
C
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.
Function f (x) = 25x/x + 3 has a discontinuity at x = –3. What are Limit of f (x) as x approaches negative 3 minus and Limit of f (x) as x approaches negative 3 plus?
Answer: C
Step-by-step explanation:
edge2021
2 questions only, please help :)
Answer:
yesno, 2y-x = -16Step-by-step explanation:
standard form is:
Ax+By=C
for problem 2:
y= 1/2 x-8
y- 1/2 x - 8= 0
rearrange:
- 1/2x + y +8 = 0
2 (- 1/2x + y + 8) = 0
-x + 2y + 16= 0
-x + 2y = -16
leading coefficient can't be negative
so multiply everything by -1
x -2y = 16
Answer:
1 yes no
Step-by-step explanation:
1 this is in standard form as it is a linear form and the intercepts can be found
2 This is not in standard form as it is a linear equation and both the x and y intercepts cant be found so must be written in the form AX+BY=C
so
-x + 2y = -6
and leading coefficient cant be - so multiply by -1
so
x-2y=6
There were 63 people sitting in a school auditorium of which 1/7 were teachers, while the rest were students. How many teachers were sitting in the
auditorium?
Answer:
eat an apple it is good for you and others around you
Answer:
9 teachers were sitting in the auditorium.
Step-by-step explanation:
63 divided by 7 is 9.
Answer this please 7= - w/8
Answer:
[tex]w = - 56[/tex]Step-by-step explanation:
[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex][tex] - 1 \times ( - w) = - 8 \times 7[/tex]
[tex]1 \times w = - 8 \times 7[/tex]
[tex]w = - 8 \times 7[/tex]
[tex]w = - 56[/tex]
Hope it is helpful....willl give brainlyist if quick its timedd
Answer: 0
Step-by-step explanation: The answer is 0
Answer:
y=0
Step-by-step explanation:
Is this a proportional or nonproportional linear relationship?
Answer:
Linear
Step-by-step explanation:
The numbers add by 4 it’s not scrambled
Answer:
This is a proportional relationship
Step-by-step explanation:
The x values increase by 1 every time
The y values increase by 4 every time
Hope this helps!!
What is the value of x?
Answer:
5 units (you are right!)
Step-by-step explanation:
The triangles ABD and BCD are similar.
Therefore,
[tex]\frac{x}{10}=\frac{10}{4x} \\4x^{2}=100\\x^{2}=25\\x=5[/tex]
I hope this helped!
Write an equation to represent the sentence. DO NOT SOLVE THE EQUATION. Just
convert English to Algebra.
5 more than 4 times a number equals 21
Answer:
5+4x=21
Step-by-step explanation:
Let's say the "number" is x.
"more than" indicates addition, and "times" indicates multiplication.
5+4x=21
PLZ PLZ PLZ HELP ME PLSSSSS
Answer:
x = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
b/c we know that the inside angles of a triangle add to 180
180 = 38 + x + x + 2
180 = 40 + 2x
140 = 2x
70 = x
Find the value of x.
X
88°
86
Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114
Answer: 145
Step-by-step explanation:
check
PLZ HELP ASAP DUE TMR NEED RN TYSM
Answer:
b= 133º
c= 47º
Find the volume of the prism. ____ cu. ft.
HELPP IM TAKING A TEST AND I WILL GIVE BRAINLIEST AND EXTRA POINTS
12 (tell me if im wrong sorry if i am)
Step-by-step explanation:
Find the area of the circle. Round you answer to the nearest hundredth.
Answer: well first you need to send the picture
Step-by-step explanation:
1. Take the picture
2. Post it to brainly
3. Get your answer
no link No link NO LINKS
Answer:
Base 9
Height 10
A 90
which of the following represents h (x-2) + 3
Answer:
A
Step-by-step explanation:
For transformation functions;
(x-2), the 2 represents horizontal shift (left or right)
if it is a positive= shift left
if it is a negative= shift right
since it is -2, the vertex of the graph is shifted right by 2 units.
For the +3 on the outside of h(x-2), this addresses the vertical shift.
Since it is +3, this means that the graph's vertex is shifted up.
help please! quadratic equation and stretch factor
Answer:
Equation: f(x)=x²-4x+3
Stretch factor: a=1
Step-by-step explanation:
Notice the x-intercepts are (1,0) and (3,0) which can help us determine the equation by setting their expressions equal to 0 and expanding:
(x-1)(x-3)=0
x²-4x+3=0
Therefore, the equation is f(x)=x²-4x+3 where the stretch factor is a=1
PLEASE HELP ASAP ill give brainliest answer
Answer:
62.1=3 sig fig
185.3=4 sig fig
1,760= 3 sig fig
0.06= 1 sig fig
I don't know if that's all the questions you have or you didn't get the last one In the pic
HELPPP PLZZZZ ASAP IS PLEASEEE DONT SEND A FILE AT ALL
Answer:
(-5, 7)
Step-by-step explanation:
Translate A left 6, and up 4
Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please
Answer: she made $8.40
Step-by-step explanation: divide 42 by 5 to get your answer
Answer:
A - $8.40
Step-by-step explanation:
You would have to do 45÷5
What is the answer to this???
Answer:
18
Step-by-step explanation:
First, we have to find out the scale factor of the triangles. So, we go from 20 to 30 by:
[tex]20s=30\\s=3/2\\s=1.5[/tex]
1.5 is the scale factor. We're looking for x. We go from 12 to x by:
[tex]12*1.5=x\\18=x[/tex]
Ava drove 224 miles in 4 hours, while Oscar drove 290 miles in 5 hours. What is her rate?
Answer:
Ava drove 56 miles per hour (mph) Oscar drove 58 mph, Oscar drove 2 mph faster than Ava.
Step-by-step explanation:
Juan has scores of 85, 83, and 93 on three math
tests. What is Juan's average test score on these
math tests?
Answer:87
Step-by-step explanation:added all numbers and divided by 3
Twice a number added to another number is -8. The difference of the two numbers is 2. Find the
numbers.
Answer:
-2, -4
and
-1 1/3, -3 1/3
Step-by-step explanation:
2×x + y = -8
x - y = 2 or y - x = 2
first going for x-y=2
so, x = 2 + y
=> 2×(2+y) + y = -8
4 + 2y + y = -8
3y = -12
y = -4
=> x = 2 + -4 = -2
second going for y-x=2
-x = 2 -y
x = y - 2
=> 2×(y-2) + y = -8
2y - 4 + y = -8
3y = -4
y = -4/3 = -1 1/3
=> x = -4/3 - 2 = -3 1/3 (or -10/3)
hii can i pls have help, i will give brainliest:D
Answer:
4
Step-by-step explanation:
half gallon is 64 oz. 256 ÷ 64 is 4
Answer
4
Step-by-step explanation:
1 gallon = 128 fluid ounces
1/2 gallon = 64 fluid ounces
Use gallons to convert 256 fl oz then multiply result by 2
256 / 128 = 2
2 x 2 = 4
4 half gallon containers
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
asap! please help i’ll give brainliest
Answer:
B. The second graph
Step-by-step explanation:
Hope this helps! Let me know if you need an explanation! Have a nice day :)
Answer:
Second option
Step-by-step explanation:
Which product is negative?
S
3
8
5
Answer:
D. (-3/8) (-5/7) (-1/4)
Step-by-step explanation:
Hints:
- * - * + = +
+ * - * - = +
+ * + * + = +
- * - * - = -
A. (-3/8)(-5/7)(1/4)
= (-3*-5*1) / (8*7*4)
= 15/224
B. (3/8)(-5/7)(-1/4)
= (3*-5*-1) / (8*7*4)
= 15/224
C. (3/8)(5/7)(1/4)
= (3*5*1) / (8*7*4)
= 15/224
D. (-3/8) (-5/7) (-1/4)
= (- 3*-5*-1) / (8*7*4)
= (-15)/(224)
= -15/224
The correct option is
D. (-3/8) (-5/7) (-1/4)