Answers
Answer:
10
Step-by-step explanation:
By Pythagoras' Theorem:
16 + r = √(24^2 + r^2)
(16 + r)^2 = 24^2 + r^2
256 + 32r + r^2 = 576 + r^2
32r = 320
r = 10
Related Questions
If the graph of the quadratic parent function q(x) = x2 is translated 3 units to the right and 2 units down, which of the following equations describes the translated graph?
Answers
Answer:
s(x) = (x - 3)^2 - 2
Step-by-step explanation:
q(x) = x^2 becomes r(x) = (x - 3)^2 after a 3-units-to-the-right translation.
This, in turn, becomes s(x) = (x - 3)^2 - 2, after a 2-units-down translation.
Next time, please share the answer choices. Thank you.
Simplify 23×(3 4−18 )÷34
Answers
Answer:
Step-by-step explanation:
23*(34-18)÷18
23*16÷18
23*8/9
184/9
20.44
use BODMAS rule (Bracket Of Multiplication Addition Subtraction)
Simon lost his library card and has an overdue library book. When the book was 5 days late, he owed $2.25 to replace his library card and pay the fine for the overdue book. When the book was 21 days late, he owed $6.25 to replace his library card and pay the fine for the overdue book. Suppose the total amount Simon owes when the book is n days late can be determined by an arithmetic sequence. Determine a formula for an, the nth term of this sequence. Use the formula to determine the amount of money, in dollars, Simon needs to pay when the book is 60 days late.
Answers
Answer:
[tex](a)\ y = 0.25n +1[/tex]
[tex](b)\ \$16[/tex]
Step-by-step explanation:
Given
[tex]n \to days[/tex]
[tex]y \to amount[/tex]
[tex](n_1,y_1) = (5,2.25)[/tex]
[tex](n_2,y_2) = (21,6.25)[/tex]
Solving (a): Formula that represents the scenario.
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]
[tex]m = \frac{6.25-2.25}{21-5}[/tex]
[tex]m = \frac{4}{16}[/tex]
[tex]m = 0.25[/tex]
The equation is calculated using:
[tex]y = m(n - n_1) + y_1[/tex]
This gives:
[tex]y = 0.25(n - 5) + 2.25[/tex]
[tex]y = 0.25n - 1.25 + 2.25[/tex]
[tex]y = 0.25n +1[/tex]
Solving (b): Amount after 60 days late.
This means that:
[tex]n = 60[/tex]
So:
[tex]y = 0.25 * 60 + 1[/tex]
[tex]y = 15 + 1[/tex]
[tex]y = 16[/tex]
If you draw two cards from a standard deck of 52 cards without replacement.
Answers
Answer:
Step-by-step explanation:
a) prob(king first, Jack second)
= (4/52)(4/51) = 4/663
1) Base of an isosceles triangle is five more than three times the equal sides and perimeter of the triangle is 75 cm. Find the lengths of the sides of the triangle.
Answers
Answer:
14 +14 +47 = 75
Step-by-step explanation:
x= side length
2x+(3x+5) = 75
5x+5 = 75
3x =70
x=14
14(3) +5 = 47
what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
Answers
9.5 for the brother 19/4 for the son and 19/5 for the daughter I think
Step-by-step explanation:
So 9.5 would be 10. 19/4 would be 5 and 19/5 would be 4
SO the brother would get 10 the son would get 5 and the daughter would get 4
Answer:
Brother-9.5
Son-19/4
Daughter-19/5
Step-by-step explanation:
Also, pls help me on my phsyics Q3 work on graduation alliance. PLEASE PLEASE.
Isaac earns $15 per hour when he babysits. Let A be the amount he earns in dollars after babysitting for H hours.
Answers
Answer:
A= 15(H)
Step-by-step explanation:
A is the total amount he is going to get, And H is the hours. If he gets 15 an hour. it means however many hours he works multiplied by 15 is the total amount he gets.
Sasha order 3/5 of a pound of cheese .Each slice of cheese weighs 0.15 pounds. Enter the number of slices of cheese that Sasha will receive
Answers
Answer:
4. slices
Step-by-step explanation:
because If you turn 3/5 in to a decimal you get 0.6 and each slice of cheese weighs 0.15 so you do 0.6 divided by 0.15
Factor the expression 36a4b10 81a16b20 using the two different techniques listed for Parts 1(a) and 1(b). (a) Factor the given expression using the GCF monomial. (a) Factor the given expression using the GCF monomial. (b) Factor the given expression using the difference of squares.
Answers
Answer:
The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"
Step-by-step explanation:
For point a:
[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF
Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]
Calculating the terms [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]
Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]
Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]
[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]
Calculating the difference of squares
[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]
substituting
[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]
For point b:
Calculating the difference of squares:
[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]
Find the value of 3a+ 3b when: a = 6 and b = 4 a = 4 and b = 6 Your two answers should be the same. Look at the expression and the a and b values and explain why the answers are the same.
Answers
Answer:
The answer is 30.
Step-by-step explanation:
The given expression is :
3a+3b
Put a = 6 and b = 4 in the above expression.
3a+3b = 3(6) + 3(4)
= 18+12
= 30
Now put a = 4 and b = 6 in the above expression.
3a+3b = 3(4) + 3(6)
= 12+18
= 30
Hence, the answer in both case is same i.e. 30.
Hakeem left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Hakeem is
x
x minutes after he left his house, until he got back home.
Answers
What value of x makes the equation `33x=11`true?
Answers
Answer:
3
Explanation: 3 times 11 is 33
The value of x that makes the equation true is 3.
What is an equation?An equation is a statement that equates to two expressions.
The given equation is:
[tex]33=11x[/tex]
[tex]11x=33[/tex]
Divide both sides by 11
[tex]\frac{11x}{11} =\frac{33}{11}[/tex]
[tex]x=3[/tex]
So, the required value of x=3.
Hence, The value of x that makes the equation true is 3.
To get more about equations visit:
https://brainly.com/question/14323743
1,2,3,5 and 7 are all common factors of two numbers. Write down the digit that the two numbers must end in?
Answers
Help I don’t know how to do this
Answers
2-149
3-31
4-149
6-31
8-31
The angles across from one another have the same values and two angles next to each other should have angles that add up to 180
Given that there is a 21% chance it will rain on any day, what is
the probability that it will rain on the first day and be clear (not
rain) on the next two days?
Answers
Natasha was thinking of a number. Natasha adds 2, then divides by 8 to get an answer of -4. What was the original number?
Answers
Answer:
-34
Step-by-step explanation:
reverse the operation (-4 x 8) - 2
If a circle is divided in half, and that half is divided in half two more times, which of the following is the angle created? A. 18 degrees B. 90 degrees C. 22 1/2 degrees D. 45 degrees?
Answers
Answer:
45 degrees
Step-by-step explanation:
360/2=180
180/2=90
90/2=45
solve please I need to hurry up and finish
Answers
Answer:
D c=0
Step-by-step explanation
HELP PLS/GEOMETRY
WHATS THE HEIGHT?
15 POINTS
Answers
x = 15 ft
Step-by-step explanation:
x/20 = 6/8
or
x = (3/4)(20 ft)
= 15 ft
PLS HELP
PLS HELP
PLS HELP
Answers
Answer:
$6.75
Step-by-step explanation:
1/5 of £5.60 is $1.15
5.60 +1.15 = 6.75
(I think this is the answer but it most likely is correct)
Write a system of linear inequalities represented by the graph.
Answers
Answer:
Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!
Step-by-step explanation:
The time it takes John to get to the store is inversely proportional to
his rate. John walks at a rate of 3 miles per hour. It takes him 20
minutes to walk to the store. He rides his bike at a rate of 15 miles
per hour. How long would it take John to ride his bike to the store?
Answers
Answer:8 mph
Step-by-step explanation:
Determine the SHADED AREA Below:
Answers
Answer:
120 square inch..
Step-by-step explanation:
first ,Area of square
subtracting Area of triangle
You drive your car for 3 hours at an average speed of 130 km per hour. How far did you go? *
Answers
What's the max/min of y=x^2-24x+166
Answers
Select the correct answer.
Which equation represents a function?
Answers
Answer:
C
Step-by-step explanation:
'x=' create vertical lines which are not functions whereas
'y=' create horizontal lines which are functions
140.23 < 140.203 what is the answer true or false.
Answers
Answer:
true
Step-by-step explanation:
Answer:
false because 140.23 is not less then 140.203
HELP help peardeck one question
Answers
Answer:
Step-by-step explanation:
=x^2-x+3+3x^2-3x+2
=5x^2-4x+5
please help me whats
2+2-4/2?
Answers
Answer:
2
Step-by-step explanation:
4/2=2
2+2=4
4-2=2
Answer:
2
Step-by-step explanation:
(No step-by-step explanation)
Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you
Answers
Answer: (-4, -1)
This means x = -4 and y = -1 pair up together.
======================================================
You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.
Here's what your steps could look like
-2x + 5y = 3
-2(3y-1) + 5y = 3
-6y + 2 + 5y = 3
-y + 2 = 3
-y = 3-2
-y = 1
y = -1
x = 3y-1
x = 3(-1) - 1
x = -3-1
x = -4
Therefore, (x, y) = (-4, -1) is the solution
-------------------
As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.
If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)
Also, note how plugging x = -4 and y = -1 into the second equation leads to...
-2x+5y = 3
-2(-4)+5(-1) = 3
8 - 5 = 3
3 = 3
We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.