Answer:
[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]
[tex](b)\ Area = 16.75cm^2[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex](a,b) = (-6,5)[/tex]
[tex]r = 5[/tex]
Required
The equation of the circle
This is calculated as:
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
So, we have:
[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]
[tex](x+6)^2 + (y-5)^2 = 25[/tex]
Solving (b):
Given
[tex]r = 8cm[/tex]
[tex]\theta = 30^o[/tex] --- Missing from the question
Required
The area of the sector
This is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]
[tex]Area = \frac{1}{12} * 200.96[/tex]
[tex]Area = 16.75cm^2[/tex]
Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6
An artist made a 54-inch-tall statue of a former president. If the president was 6 feet tall, what scale did the artist use?
Answer:
[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]
Step-by-step explanation:
To get a scale of inches to feet, divide both 54 and 6 by 54:
[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]
Please help??? An explanation would help too and the answers
the first, (f+g)(x) is f(x) + g(x)
calculating it like:
x² + 7x + (8 -x²)
= x² + 7x + 8 -x²
= 7x + 8
you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.
edit1: the domain is the range of possibilities wich x we can plug into the new equation
Find the missing side
Answer:
x = 71.5 in
Step-by-step explanation:
Remember the SOHCAHTOA rule
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
In this case, we use: CAH.
cos(52) = 44/x
x = 44/cos(52)
x = 71.5 inches
What is the y-intercept of 4(0.6)^x
Answer:
4
Step-by-step explanation:
The y-intercept is where x = 0
y = 4(0.6)^0
y = 4(1)
y = 4
Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
responses what percent is the increase 100 of the original number of responses 802
Answer:
D. 125%
Step-by-step explanation:
First day = 80 responses
Second day = 180 responses
Increase in responses = 180 - 80
= 100 responses
what percent is the increase 100 of the original number of responses 80
= Increase in responses / original number of responses × 100
= 100/80 × 100
= 1.25 × 100
= 125%
The percent increase 100 of the original number of responses 80 = 125%
Please help me with this geometry question and show work
(3) 8
Step-by-step explanation:
Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.
BC/AB = DE/AD
BC/10 = 12/(10 + 5) = 12/15 = 4/5
or
BC = 10(4/5) = 8
Rewrite the following polynomial in standard form. -x -7x^2 -10
Please Help
Answer:
-7x^2 - x - 10
Step-by-step explanation:
Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power: x^2, x^1, x^0
Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:
-7x^2 - x - 10
This result is in "standard form."
[tex]-7x^2-x-10
[/tex]
(3a+b)³ please help me
Answer:
[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]
Step-by-step explanation:
[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]
Answer:
Step-by-step explanation:
9a^3+18a^2b+9ab^2+b^2
Please help asap. Thank you! :)
When he cubed ,
Result is x³
On further squaring x³, he got = (x³)²
[tex] {x}^{6} [/tex]
Therefore, k = 6
40 POINTS!!!
All integers are either odd or even. Conceptually, an integer is odd if it has a remainder of 1 when dividing by 2. And an integer is even if it has a remainder of 0 when dividing by 2.
But when proving something rigorously, mathematicians use more precise definitions, like these: an integer is odd if it can be written in the form 2k + 1, where k is some integer. An integer is even if it can be written in the form 2k, where k is some integer. For example, 13 is odd because 13 can be written as 2(6) + 1.
With these definitions, use complete sentences to explain why zero is an even number.
Answer:
[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]
divide (6x³+5x²-4x+3) by (2x+3)
Answer: 3x^2-2x+1
Step-by-step explanation:
Answer:
3x² - 2x + 1
Step-by-step explanation:
To get 3x²
6x³ ÷ 2x
To get -2x
-4x² ÷ 2x
To get +1
2x ÷ 2x
Mike needs to replace the carpet in his living room. The carpet he likes costs $7.50 per square foot to purchase and install. His living room measures 263.5 square feet. How much will it cost to replace the carpet?
Answer:
$1,976.25
Step-by-step explanation:
Since one square foot cost $ 7.50 we simply multiply that by 263.5.
263.5 × 7.50= $1,976.25
Solve x2+x-1=0 using the quadratic formula.
Answer:
x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Ignore the A that doesn't belong in the answer
Please help me I put 100 points for anyone who helps me
Answer:
a)
The discount id 40%, so the function is:
d = 0.4pb)
p = 100 ⇒ d = 40p = 200 ⇒ d = 80p = 300 ⇒ d = 120p = 400 ⇒ d = 160p = 500 ⇒ d = 200The graph is attached
c)
p = $85 ⇒ d = 0.4*$85 = $34Sale price is:
CP = p - d = $85 - $34 = $51Answer:
please give me some thanks please good morning
Fill in the spaces to complete the equality
Help
Answer:
(n + 13n)
Step-by-step explanation:
13n (n) = 13n²
add 13n
so 13n (n + 13n) = 13n² +13n
Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)
By definition of the perfect square trinomial:
[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]
[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]
And by direct comparison we have the following system:
[tex]a = 33[/tex] (2)
[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)
By (3), we solve for [tex]b[/tex]:
[tex]b = \frac{20}{\sqrt{3}}[/tex]
[tex]b = \frac{20\sqrt{3}}{3}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
PLEASE PLEASE HELP ME
Answer:
Step-by-step explanation:
I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee
(-6)(4) preform indicated operation
Answer:
-24
Step-by-step explanation:
(-6)(4)
The indicated operation is multiplication
-24
Answer:
-24
Step-by-step explanation:
Multiply -6 and 4
What's the probability of randomly selecting an odd number from the numbers 1-10?
Answer:
There is a 50% chance of getting a odd number.
Step-by-step explanation:
1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.
5/10 = 0.5 = 50%
5 out of 10
A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answer:
d. if graphed, the ordered pairs would form a straight line.
please I need help thanks if u helped me
Answer:
Step-by-step explanation:
Hope this helps u !!
Answer:
u just gave that are we meant to solve it is there anything to substitute into it what are we actually meant to do?
Step-by-step explanation:
Please help kitty(
<3
Answer:
A. increasing curve
Step-by-step explanation:
exponential equations always have a curve, so you know it has to be the one about a curve.
Which of the following shows the correct order of the given numbers?
1, 1, 1.6
What’s the measure of POQ?
Answer: 70 degrees 35 times 2
I really need help on this problem ASAP please and thank you
Answer:
Step-by-step explanation:
use the circle to answer the questions
Answer:
Diameter: 10.8 cm
Circumference (in terms of π): 10.8π cm
Circumference (approximate): 33.91 cm
Step-by-step explanation:
Hi there!
We're given:
The radius (5.4 cm)1) Determine the diameter
[tex]d=2r[/tex]
Multiply the radius 5.4 cm by 2
5.4 × 2 = 10.8
Therefore, the diameter of the circle is 10.8 cm.
2) Determine the circumference of the circle
[tex]C=\pi d[/tex]
Plug in the diameter 10.8
[tex]C=10.8\pi[/tex]
Therefore, the circumference of the circle in terms of π is 10.8π cm.
3) Determine the approximate circumference of the circle
[tex]C=10.8\pi\\C=10.8(3.14)\\C=33.91[/tex]
Therefore, the approximate circumference of the circle is 33.91 cm.
I hope this helps!
can someone please answer this
Answer:
x = 100
It is on a straight line and so, it equals to 180.
180 - 80 = 100
John, Jack, Jim, and Joe all decided to take up horseback riding. Jim went twice as many times as Jack, and John went four more times than Joe but three less times than Jim. Joe went 15 times altogether. How many times did Jack go?
Answer:
11 times
Step-by-step explanation:
Given
[tex]Jim = 2 * Jack[/tex]
[tex]John = 4 + Joe[/tex]
[tex]John = Jim - 3[/tex]
[tex]Joe = 15[/tex]
Required
Find [tex]Jack[/tex]
Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]
[tex]John = 4 + 15[/tex]
[tex]John = 19[/tex]
Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]
[tex]19 = Jim - 3[/tex]
Collect like terms
[tex]Jim = 19 +3[/tex]
[tex]Jim = 22[/tex]
Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]
[tex]22 = 2 * Jack[/tex]
Divide both sides by 2
[tex]Jack = \frac{22}{2}[/tex]
[tex]Jack = 11[/tex]
