Answer:
20 units
Step-by-step explanation:
Because it is 25 per unit, and 500, you can do 500/25=20
Lucas is walking on a circular path modeled by the equation (x + 8)^2+ (y - 3)^2= 64 and Noal is walking on another circular path modeled by the equation (x - 10)^2 + (y - 3)^2= 100, where their
distances are given in meters. What is the maximum distance between the walkers at any given time?
18 meters
21 meters
36 meters
40 meters
pls help guys
The maximum distance between the walkers at any given time is (a) 18 meters
Lucas' equation on the circular path is given as:
[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]
Noah' equation on the circular path is given as:
[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
Where:
Center = (a, b)Radius = rSo, we rewrite both equations as follows:
[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]
[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]
[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]
[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]
The radii of both equations are:
[tex]r_1 = 8[/tex]
[tex]r_2 = 10[/tex]
The maximum distance between the walkers at any given time is the sum of the radii
[tex]r = r_1 + r_2[/tex]
So, we have:
[tex]r = 8 + 10[/tex]
This gives
[tex]r = 18[/tex]
Hence, the maximum distance between the walkers at any given time is (a) 18 meters
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Answer:
36 meeters
Step-by-step explanation:
trust me bro
h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller s =
larger r =
2) What is the vertex of the parabola?
The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).
What are the zeros and vertex of the function?Given the function in the question:
h(r) = r² + 11r - 26
To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.
Using factoring:
r² + 11r - 26 = 0
Find two numbers whose sum is 11 and whose product is -26.
The numbers are -2 and 13.
Factor the equation:
(r - 2)(r + 13) = 0
Hence:
r - 2 = 0 and r + 13 = 0
Therefore, smaller r = -13, larger r = 2.
Next, we determine the vertex of the function:
Using the formula for the x-coordinate of the vertex, which is given -b/2a.
Here, the coefficient of r² is 1 (a = 1),
The coefficient of r is 11 (b = 11).
Substituting these values into the formula, we get:
r = -b/2a
= -11/( 2×1 )
= -11/2
The x-coordinate of the vertex is -11/2.
To find the y-coordinate, we can substitute r = -11/2 value back into the function:
h(r) = r² + 11r - 26
h(-11/2) = (-11/2)² + 11(-11/2) - 26
= 121/4 - 121/2 - 26
= 121/4 - 242/4 - 104/4
= (121 - 242 - 104)/4
= -225/4
Therefore, the vertex is (-11/2, -225/4).
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Bruce walks 3/4 mile in 1/5 what is his spewd miles per hour
Answer: Bruce's speed is 3.75 mph(miles per hour).
x(5)+2=244
help pls
(^_^)
Simplify both sides of the equation
5x+2=244Subtract 2 from both sides
5x+2−2=244−25x=242Divide both sides by 5
[tex] \frac{5x}{5} = \frac{242}{5} [/tex]
Answer[tex] \: x = \dfrac{242}{5} [/tex]
OR
[tex] \: x = 48.4 [/tex]
The solution to the given problem is:
48.4To find the value of x, one would have to spread out the terms.
5x+2 = 244
Then we would make x the subject formula
5x= 244-2
5x=242
Divide both sides by 5 (value of x)
x= 242/5
Therefore, the value of x is 48. 4
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Which value of x makes the equation true? 1/5 (2x-10) + 4x = -3(1/5x+4)
A -1/5
B 1/5
C 2
D -2
Answer:
Step-by-step explanation:
1/5 (2x - 10) + 4x = -3(1/5x + 4)
a bit ambiguous, I'll ASSUME you mean
1/5 (2x - 10) + 4x = -3(x/5 + 4)
2x/5 - 2 + 4x = -3x/5 - 12
5x = -10
x = -2
My answer being one of your options makes me think my assumption was correct.
Question is in image
In the diagram below, ST is parallel to PR
Answer:
D.
Step-by-step explanation:
There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.
Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...
SQ/PQ = TQ/RQ
From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.
(PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem
1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division
-PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)
PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)
Name the triangle as described
Answer:
scalene triangle
Step-by-step explanation:
this can explain everything . please help
35 - 45 / 9 x 5
Divide 45 by 9 to get 5.
35 - 5 x 5
Multiply 5 and 5 to get 25.
35 - 25
Subtract 25 from 35 to get 10.
= 10
PLEASE HELP! WILL MARK BARINLIEST IF ANSWER CORRECTLY (Screenshot)
Answer:
14
Step-by-step explanation:
3+3+4+4 = 14
Please help me :) 25 points
Answer:
D (bottom right)
Step-by-step explanation:
Using the vertical line test, only D passes.
Hope that helps
A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.
Answer:
by how i was taught its 2
Step-by-step explanation:
6 times the sum of a number and ten is 60
What is the expression for this
Answer:
The equation is 6(x + 10) = 60, and the answer to the equation is 0
Step-by-step explanation:
Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].
17. Solve for x: 3xyz
i need help i would be very grateful ty :)
Answer:
C. x = P/3yzStep-by-step explanation:
Given equation:
3xyz = PSolve for x, divide both sides by 3yz:
3xyz/3yz = P/3yzx = P/3yzCorrect choice is C
WILL GIVE BRAINLIEST THANK AND FIVE STAR!
Which equation is equivalent to 32x−4y+1=0?
y=4x−1y is equal to 4 x minus 1
y=−38x−14y is equal to negative 3 eighths x minus 1 fourth
y=38x+14y is equal to 3 eighths x plus 1 fourth
y=−4x+1
Answer:
y=−38x−14y is equal to negative 3 eighths x minus 1 fourth is the answer.
a
Joshua is flying a kite, holding his hands a distance of 3.75 feet above the
ground and letting all the kite's string play out. He measures the angle of
elevation from his hand to the kite to be 28°. If the string from the kite to his
hand is 140 feet long, how many feet is the kite above the ground? Round
your answer to the nearest hundredth of a foot if necessary.
Answer:
Step-by-step explanation:
Assuming the ground is level
h = 3.75 + 140sin28
h = 69.47601...
h = 69.48 ft.
The height of the kite above the ground is 69.48 ft
Right angle triangle:A right angle triangle is a triangle that has one of its angle as 90 degrees. Therefore,
Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:
sin 28° = opposite / hypotenusesin 28° = x / 140
x = 140 sin 28
x = 140 × 0.46947156278
x = 65.72601879
x = 65.73
The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet
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the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴
Answer:
idioet.
Step-by-step explanation:
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = –4 to x = 0.
A) None of these
B) B
C) a and b
D) c
Answer:
c
Step-by-step explanation:
Like I said in my previous answer, you have to look at the point that kinda "pokes out" of the graph, which in the interval (-4,0) is a and b
Answer:
See image.
Step-by-step explanation:
"Relative maxima" just means is this the highest spot in the graph in this very small neighborhood. (that's not a technical term)
On the interval x=-4 to x=0 is like asking you to only consider certain house addresses when you are looking for your answer. See image.
Multiply the two fractions. Simplify your answer. 1/2 x 4/7
Answer:
2/7
Step-by-step explanation:
The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].
Given that,
Multiply the two fractions,
[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]
Used the concept of multiplication which states that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, simplify the fractions by multiplying,
[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]
[tex]\dfrac{4}{14}[/tex]
Simplify for the simplest form,
[tex]\dfrac{2}{7}[/tex]
So, the solution is [tex]\dfrac{2}{7}[/tex].
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What is meant by a circle's diameter?
Answer:
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Step-by-step explanation:
please mark my answer in brainlist
Answer:
Step-by-step explanation
F u
Find the length x. Please help
Step-by-step explanation:
# easy learning
good luck and god Blees you
Which equation has a maximum at y = 5 for 0 < x < 27?
Answer:
To determine which equation has a maximum at y =5, you will need to compare their graphs looking only at the x-values between 0 and 27.
Step-by-step explanation:
Matt had instruction to take a box of nailsn
Answer:
2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct
Step-by-step explanation:
I really don't know cause there is not enough explanation
Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the trip she wants to take?
The total cost of the trip Lisa wants to take over the weekend is $500.
Let the total cost of the trip be T.Given the following data:
Savings account balance = $200Percent of trip expenses = 40%To determine the total cost of the trip Lisa wants to take over the weekend:
Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.
Total cost of her trip:
[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]
Total cost, T = $500.
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On a bird-watching trip, Mei and Jackie counted 68 birds.
Of these, 45 of the birds were sparrows. Which value is a
reasonable estimate of the percent of sparrows in the
birds Mei and Jackie counted?
1. 175%
2.140%
3. 70%
4. 90%
Answer:
The answer is 70% if you round it.
Step-by-step explanation:
45 out of 68 is 66 but if you're rounding it the answer is 70%.
Add the equations.3x-y=-5
7x+y=15
Step-by-step explanation:
it is like a regular addition of numbers. you add the different positions.
3x + 7x = 10x
-y + y = 0
-5 + 15 = 10
so, D. is the right answer : 10x = 10
What is the factored form of 42 + 63?
Answer:
3 * 5 * 7
when i say * i mean the multiplication sign.
Step-by-step explanation:
Just ask. <3
(✿◡‿◡) HAPPY HOLIDAYS!!!
:D
Answer:
The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.
Step-by-step explanation:
Rewrite the expression with rational exponents.
Answer:
([tex]\sqrt[5]{x}[/tex])^7
Step-by-step explanation:
to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7
Which values from the given replacement set make up the solution set of this inequality?
5m≤10; {0, 2, 4, 6}
{0, 4, 6}
{2}
{0, 2}
{2, 4, 6}
Answer:
the solution to the inequality is m[tex]\leq[/tex] 2, so the solution set can include 2 and 0 since it is less then 2. but the rest do not work. so the answer is {0,2}
Step-by-step explanation:
5m[tex]\leq[/tex]10
divide by 5 on both sides and you are left with
m[tex]\leq[/tex]2
only 2 and 0 are less than or equal to 2
Hope this helps!
what is the answer this math problem?
Answer:
HLO Mate here is ur answer
f(x)=√x
g(x) = √ 2 - x, find (fºg)x.
Answer:
∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)