Answer:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm
Question: Find the equation of the circle whose diameter is the segment between the intercepts of 3x + 4y = 24.
If you can answer this please explain the steps so I can understand, please and thank you so much!
Answer:
[tex](x-4)^2+(y-3)^2=25[/tex]
Step-by-step explanation:
We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:
[tex]3x+4y=24[/tex]
Find the intercepts first. To find the x-intercept, let y = 0:
[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]
The x-intercept is (8, 0).
To find the y-intercept, let x = 0:
[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]
The y-intercept is (0, 6).
Since this segment is the diameter, its midpoint is our center.
Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:
[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
Hence, the center of the circle is:
[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]
To find the radius of our circle, we can find the diameter and divide it by two.
The diameter is the length of the segment or the distance from (0, 6) to (8, 0).
Find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
So, the diameter of our circle is:
[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]
Therefore, the radius of our circle is 5.
The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Our center is (4, 3) and our radius is 5.
Therefore:
[tex](x-4)^2+(y-3)^2=25[/tex]
IF THE INTEGERS IS 12,-6,8,-5,7,-4,3 ARE MARKED ON THE NUMBER LINE, THE ONE THAT COMES ON THE EXTREME LEFT
Answer:
- 6
Step-by-step explanation:
Given the integers : 12,-6,8,-5,7,-4,3
To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.
Ordered value in ascendibg order :
-6, -5, -4, 3, 7, 8, 12
The value which will. Fall. On the extreme left is : - 6
Which value of a,b, and c correctly represent the answer in simplest form?
Answer:
A
Step-by-step explanation:
first, you turn 3 1/2 into 3 2/4'ths and change 3 two fourth's into 14/4 fraction.
next, you change 2 one fourth into 9/4th's fraction
your equation would be 14/4 divided by 9/4th's = a times b/c
when you used divide, you get get flip one of the fractions being divided, and it could turn into 14/4 TIMES 4 over 9 = a times b/c.
wait this area down here could be wrong:
when you get your equation, multiply them together and you get 56 over 36 equals a times b/c.
A times B /C is equal to 56/36 which can simple out to 28/18 which AGAIN simpled out to 14/9
C IS 9 BECAUSE IT IS THE DENOMINATOR
and because of that, A would be the answer.
What is the value of the expression below? (4/5+3/5)+3.5x5
Answer:
18.9
Step-by-step explanation:
Start with parentheses.
4/5 + 3/5 = 7/5
Simplify 7/5, 7/5 = 1 2/5
Next numbers.
3.5 x 5 = 17.5
Add.
17.5 + 1 2/5 = 18.9
james wrote the number 8980000 in scientific notation
Answer:
here u go
Step-by-step explanation:
8.98 x 10^6
#4. Find the missing angle measures
Answer:
Step-by-step explanation:
x = 55
x + 55 = 110
x + 20 = 75
x + 65 = 120
Answer:
x°=130°
The sum of two opposite angles in a quadrilateral is 180
⇒x+55°+x+65°=180°
⇒2x+120°=180°
⇒2x=60°
⇒x=30°
Có x+20 °+x°=180°
⇒30°+20°+x°=180°
⇒x°=130°
In AFGH, the measure of ZH=90°, HF = 2.9 feet, and GH = 1.5 feet. Find the
measure of ZG to the nearest degree.
9514 1404 393
Answer:
63°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(G) = HF/HG
G = arctan(HF/HG) = arctan(2.9/1.5) ≈ 63°
Factor completely. 486 +108 x + 6 x^2=
Answer:
[tex]6(x+9)^{2}[/tex]
Step-by-step explanation:
6 x^2+108 x +486
6(x^2+18 x +81)
6(x+9)(x+9)
[tex]6(x+9)^{2}[/tex]
Answer:
[tex]6(9+x {)}^{2} [/tex]
Step-by-step explanation:
[tex]486+108x+6x ^{2} [/tex]
[tex]6 \times 81+108x+6 {x}^{2} [/tex]
[tex]6(81+18x+ {x}^{2} )[/tex]
[tex]6(9+x {)}^{2} [/tex]
Hope it is helpful...A rancher planned to fence 6 1/2 acres of land to grow some experimental grasses. After he had finished fencing 4 3/4
acres of the land, it started snowing. How many acres of the land remained to be fenced?
Answer:
1 3/4 acres
Step-by-step explanation:
6 1/2 - 4 3/4 = the remaining acres to be fenced.
we can bring all numbers to "quarters" (1/4th) to be able to make that subtraction.
6 1/2 = 13/2 = 26/4
4 3/4 = 19/4
so, 26/4 - 19/4 = 7/4 = 1 3/4 acres still to be fenced.
Need help ASAP ITS DUE Soon???!!!
Answer:
V=942.5
Step-by-step explanation:
V=(π)(r)^2(h)
V= (π)(10/2)^2(12)
V=942.5
Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD
Answer:
meta beta
Step-by-step explanation:
diem ryugudnhkng.
Please help, giving Brainliest and 100 points!
At the beginning of the school year, 396 students attended the first football game. Attendance at the next game was 505 students. Estimate the percent of increase.
percent of increase in students is 27.525%
Answer:
Solution given:
first total no of students [FD]=396
next total no of students [ND]=505
increase %=?
we have
increase %=[tex]\frac{ND-FD}{FD}×100=\frac{505-396}{396}×100=27.525%[/tex]%
Increase in students
505-396109Percentage increase
109/396×10027.5%Who knows the answer
Answer:
46 is the answer
Step-by-step explanation:
because 154-108=46
Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?
can somebody help please
Answer:
B: 12 + 2y
Step-by-step explanation:
9 + y + y + 3
You can rearrange this expression to show:
(9 + 3) + (y + y)
To solve, you add all the like parts together.
(12) + (2y)
12 + 2y
solve in Multi step equations for x
[tex]\longrightarrow{\green{ \: x = - 25 }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \frac{ - 2}{5} (x + 10) = 6[/tex]
➺ [tex] \: - 2 \: (x + 10) = 6 \times 5[/tex]
➺ [tex] \: - 2x - 20 = 30[/tex]
➺ [tex] \: - 2x = 30 + 20[/tex]
➺ [tex] \: - 2x = 50[/tex]
➺ [tex] \: x = \frac{50}{ - 2} [/tex]
➺ [tex] \: x = - 25[/tex]
Therefore, the value of [tex]x[/tex] is -25.
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \frac{ - 2}{5} ( - 25 + 10) = 6[/tex]
➺ [tex] \: \frac{ - 2( - 15)}{5} = 6[/tex]
➺ [tex] \: \frac{30}{5} = 6[/tex]
➺ [tex] \: 6 = 6[/tex]
➺ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
Find the difference. Express the answer in scientific notation.
(5.29x 10^11)-(3.86 x 10^11)
O 1.43 x 10^11
O 9.15 x 10^11
O 1.43 x 10^22
O 9.15 x 10^22
Answer:
Option 1
Step-by-step explanation:
Take
[tex]10 {}^{11} [/tex]
common out.
[tex](5.29 - 3.86) \times 10 {}^{11 } \\ 1.43 \times 10 {}^{11} [/tex]
Answer: a
Step-by-step explanation: edge 2023
Find B
Plzz find the right answer and don’t just guess
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
B^2 + 8^2 = 15^2
B^2 + 64 + 225
B^2 = 225 - 64
B^2 = 161
B = [tex]\sqrt{161}[/tex] OR 12.7
number 14 and 15 pls
Step-by-step explanation:
b= 140 ( alternate angle)
k = 130 ( veetically opposite angles)
may it help ub
How many solutions exist for the system of equations graphed below? 3 2 54 -3 -2 -1 1 1
Answer:
Step-by-step explanation:
One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.
Jose is trying to calibrate his new fitness watch. The app that come with the watch asks the user to input their average stride. Jose measures this to be approximately 2.5 feet. Using 2.5 feet as his stride how many feet will Jose walk if he takes 6000 steps in a day?
Answer:
Step-by-step explanation:
Jose is trying to calibrate his new fitness watch. The app that come with the watch asks the user to input their average stride. Jose measures this to be approximately 2.5 feet. Using 2.5 feet as his stride how many feet will Jose walk if he takes 6000 steps in a day?
1. Find the value of x and round to the nearest tenth
2. Find the value of y and round to the nearest tenth.
Measure of x :
[tex]\longrightarrow4 \sqrt{5} \: \: units[/tex]
Measure of y :
[tex]\longrightarrow8 \sqrt{5} \: \: units[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps }}{\orange{....}}}}}[/tex]
Here are the test marks of 6 girls and 4 boys.
Girls: 5 3 10 2 7 3
Boys: 2 5 9 3
(a) Write down the mode of the 10 marks.
(b) Work out the median mark of the
(c) Work out the mean mark of all 10 students.
help quick i really need to know the answer of
A and B
Answer:
(a) 3
(b) 3+5÷2 =4
Step-by-step explanation:
(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.
(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.
Does anyone know the answer to this?
a 25% tip was paid on a 30$ meal what is the amount of the tip?
Answer:
$7.50
Step-by-step explanation:
25% of $30 is $7.50
Answer:
7.50
Step-by-step explanation:
100%-> 30
1%->0.30
25%-> 7.50
1. Find the value of x to the nearest tenth
A. 8.1
B. 7.5
C. 8.9
D. 7.9
Answer:
C.
[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]
I will give u brainliest and 5 star and thanks if its correct
Answer:
It's B and E
Step-by-step explanation:
does this graph represent a function ? why or why not
Answer:
yes
Step-by-step explanation:
it passes the verticle line test which states that if you put a verticle line anywhere on the graph it will only have one point in where the two lines intersect
Find the 7th term in the
sequence
-4,-8, -16,...
P
Hint: Write a formula to help you.
1st term . Common Ratio desired term - 1)
Answer:
-1,024
Step-by-step explanation:
4×2=8
8×2=16
and so on repeating 7 times
determine the equation of the circle graphed below .
( help please )
Answer:
(x+5)²+(y+7)²=4
Step-by-step explanation:
just count it