Answer:
[tex]\boxed {\boxed {\sf B. \ 2: x^2+(y+4)^2=9}}}[/tex]
Step-by-step explanation:
The equation for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center of the circle is (0, -4) and the radius is 3. Therefore:
h= 0 y= -4 r=3Substitute the values into the formula.
[tex](x-0)^2+(y--4)^2=(3)^2[/tex]
Solve the first parentheses.
(x-0)² = (x)²= x²[tex]x^2+(y--4)^2=(3)^2[/tex]
Solve the next parentheses.
(y--4)² = (y+4)²[tex]x^2+(y+4)^2=(3)^2[/tex]
Solve the exponent.
(3)²= 3*3=9[tex]x^2+(y+4)^2=9[/tex]
This is the finished equation, which corresponds with number 2. Choice B (2): x²+(y+4)²= 9 is correct.
Can someone help me slove this ?
Answer:
x<-1
Step-by-step explanation:
I think and hope it helps
Solve each equation by completing the square. Write both answers separately.
Answer:
37) ±√29 - 4
Completing the square utilizes this formula [tex](\frac{b}{2})^{2}[/tex]. We know that b=8, 8 can be plugged into this formula to get [tex](\frac{8}{2})^2[/tex]. Simplify to get 16. Now, we can add this into the equation to get [tex]k^{2}+8k+13=26[/tex]. Subtract 26 to both sides, so the equation can equal to 0. [tex]k^{2} +8k-13=0[/tex] would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.
38) ±√21 - 2
Let's use the same formula. b=4, so [tex](\frac{4}{2} )^2[/tex]. Simplify to get 4. Add that into the equation to get [tex]x^{2}+4x-5=12[/tex]. Subtract 8 on both sides, so the equation can equal to 0. [tex]x^{2}+4x-17=0[/tex] would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2
If you're confused on any part of the explanation, feel free to ask :)
p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .
On what interval must x fall?
a) [−4/3, −60/47]
b) [-2, −4/3]
c) [−2, [infinity])
d) (−[infinity], −4/3)
Please Help!!
Answer: (b)
Step-by-step explanation:
Given
[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]
[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]
[tex]\left | p+q\right |=2x+4[/tex]
for two complex number, [tex]z_1,z_2[/tex]
[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]
Apply the above the property
[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]
Also, the absolute value of each complex number must be greater than or equal to zero
[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]
Taking the intersection of the above values of x, we get
[tex]x\in [-2,-\dfrac{4}{3}][/tex]
Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.
Answer:
Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle
Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)
LA = 15m² + 216m² + 108m²
LA = 339 m²
SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)
SA = 15m² + 216m² + 108m² + 180 m²
SA = 519 m²
Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)
Answer:
17(x-2)
Step-by-step explanation:
Given the expression
17x - 34
We are to factorize it
Get their factors
17x = 17 * x
34 = 17 * 2
Since 17 is common to both factors, hence 17 is the GCF
17x - 34 = 17(x - 2)
Hence the equivalent expression is 17(x-2)
What is the volume of a rectangular prism with the length of 4.5 ft, the width of 3.5 ft, and the height of 5.5 ft?
Answer:
The volume would be 86.63 feet squared
Hope this helps!
Mark me brainliest if I'm right :)
Complete the equation so it will have no solution. 5x - 8 = _ +2
Answer:
5x
Step-by-step explanation:
If the blank were to be occupied with 5x there would be no solutions
Observe...
5x - 8 = 5x + 2
* subtract 5x from each side *
5x - 5x cancels out
5x - 5x cancels out
we're left with -8 = 2
which is not true
Hence if the blank = 5x the equation will have no solution
PLEASE HURRY MY TEACHER IS ABOUT TO CALL ON ME. I NEED THE AREA
Answer:
65 i did it quick, i might be wrong
Step-by-step explanation:
bh/2
10*39/3
390/3
130/2=65
I need help again. :( plzz help
Answer:
4 white horses.
Step-by-step explanation:
First, you need to find the total of the first set of horses (basically how many total were in the table).
~ 3+2+9+1 = 15
Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.
~ [tex]\frac{3}{15}[/tex] (or [tex]\frac{1}{5}[/tex], simplified)
Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:
~ [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]
The final step is to multiply across (1x20) then divide that number by the 5 to find X.
~ 20÷5 = 4
Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^
Amelia made a line plot of her scores on 25-point math quizzes.
What is the difference between the total of her most frequent number of points per quiz and
the total of her greatest number of points scored per quiz?
A. 0 points
B. 6 points
C. 18 points
D. 22 points
Answer:
How do I ask a question on here?
Step-by-step explanation:
Answer:
B.6 points
Step-by-step explanation:
First you can see that one is bigger and taller and if you count on the number line it will be 18, and 18 has 6 dots so it is B which says 6 dots.
ASAP
- WILL MARK BRIANIST
Now Mark me Brainiest
Help please Thank you!!!!!
Answer:
B
Step-by-step explanation:
B because the graph doesn't show a liner line
but im not really sure nout it tho
PLEASE PLEASE PLEASE HELP ME!!!!!!!!!!
Point (4, –5) is mapped onto ________ when rotated 90° clockwise about the origin.
A)
(5, –4)
B)
(–5, 4)
C)
(5, 4)
D)
(–5, –4)
Answer:
D. (-5, -4)
Step-by-step explanation:
When making a rotation 90° clockwise, the coordinates will swap places. However, the x value will be the opposite and the y value will stay the same.
90° clockwise rule:
(x, y) ---> (y, -x)
(4, -5) ---> (-5, -4)
Hope this helps!!
What is the circumference of the table top? Write your answer using
Show your work.
Answer
the diameter is 44
Step-by-step explanation:
the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.
write the measure of each of the missing angle measures in the diagram above.
Answer:
<2= 65°
<3= 65°
<4= 115°
<5= 115°
<6= 65°
<7=65°
<8=115°
2 : 9, 12 : , and : 45.
Answer:
Sorry. What's the question?
Answer:
12:6, 9:45
Step-by-step explanation:
Ratios I think you are asking
Find the value of x. 30,45,x,100; The median is 51.
Answer:
49
Step-by-step explanation:
Write the percent as a fraction and as a decimal 1/10% what is the fraction equivalent
Answer:
As a fraction 1/1000 and as a decimal 0.001
Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help show that circle A is similar to circle B?
Answer:
1) Use translation to coincide the center of a circle with the center of the other circle.
2) We construct the respective loci for the circles.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Step-by-step explanation:
Geometrically speaking, a circle is formed after knowing its center and radius.
1) Use translation to coincide the center of a circle with the center of the other circle. In this case, we translate the center ([tex]C_{A} (x,y) = (6,7)[/tex]) of the circle A to the location of the center of the circle B ([tex]C_{B}(x,y) = (2,4)[/tex]):
[tex]C_{A'} (x,y) = (6,7) + [(2,4) - (6,7)][/tex]
[tex]C_{A'} (x,y) = (2,4)[/tex]
2) We construct the respective loci for the circles.
By Analytical Geometric, a circle is represented by the following locus:
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]
Where:
[tex]x, y[/tex] - Coordinates of a point of the circunference.
[tex]h, k[/tex] - Coordinates of the center of the circle.
[tex]r[/tex] - Radius of the circle.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Then, the circles A' and B are represented by the following loci:
Circle A'
[tex](x-2)^{2} + (y-4)^{2} = 16[/tex]
Circle B
[tex](x-2)^{2} + (y-4)^{2} = 256[/tex]
Since both the [tex]f(x,y)[/tex] component of each circle is the same and radii are different but constant, then we conclude that circle A is similar to circle B.
Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
The table shows the number of tickets sold and the profit made at the fundraiser
2 $18
4 $36
6 $54
8 $72
Which describes the relationship between the number of tickets sold and the profit
Each ticket sold yields $8 of profit
Each ticket sold yields $9 of profit
Each ticket sold yields $16 of profit
Each ticket sold yields $18 of profit
Answer:
first one is The table shows the number of tickets sold and the profit made at a fundraiser. Tickets Sold Profit
2 $18
4 $36
6 $54
8 $72
Which describes the relationship between the number of tickets sold and the profit?
Each ticket sold yields $8 of profit.
Each ticket sold yields $9 of profit
. Each ticket sold yields $16 of profit.
Each ticket sold yields $18 of profit.
Step-by-step explanation:
done
Answer:
b
Step-by-step explanation:
describe the relationship between the zeros of the quadratic function and linear factors of the expression
Answer:
F(x) represents the zeros of the given quadratic function. i.e. the linear factors represents zero when we resolve the expression
Step-by-step explanation:
Describing the relationship between the zeros of the quadratic function and the linear factors of the expression using an example as shown below
lets describe this using the example below :
quadratic expression : F(x) = ax^2 + bx + c
let the linear factors of F( x ) = 0
F(x) represents the zeros of the given quadratic function above i.e. the linear factors represents zero when we resolve the expression
If a line falls on the points (1, 2) and (8,7), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar.
Answer:
m= 5/7
Step-by-step explanation:
y2-y1 / x2-x1
7-2/8-1
5/7
Is 72 Inches greater less or equal to 2 yd and why
Answer:
72 is equal to 2 yards.
Explanation:
There are 36 inches in one yard.
(another way to look at this is there are 3 feet in one yard, each feet is 12 inches. So, 12 multiplied by 3 is equal to 36 inches, or one yard)
Then, since in this question we are finding out in relation to 2 yards, add 36 inches + 36 inches, and that is equal to 72 inches.
72 and 72 are equal :)
Here is a list of numbers:
-5, -15, -10, 5, 14, 5, -18, 11, -4
State the median.
Answer:
4
Step-by-step explanation:
-18, -15, -10, -5, 4, 5, 5, 11, 14
There are 9 terms. So the one in the middle is the median.
-18, -15, -10, -5, 4, 5, 5, 11, 14
1 2 3 4 5 6 7 8 9
So 4 is the median.
---
hope it helps
A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd
Answer:
4th
Step-by-step explanation:
string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.
How do I find the indicated value?
Step-by-step explanation:
using this
t_n = a+ (n-1)d
The map shows the locations of 11 shelters along the Appalachian Trail. The distances (in miles) between these
shelters are 0.1, 14.3,5.3, 1.8, 14, 8.8, 8.8, 16.7, 6.3, and 3.3.
a. Find the mean, median, and mode of the distances.
b. A hiker starts at Shelter 2 and hikes to Shelter 11. How
does this affect the mean, median, and mode? Explain.
what is the radius of the circle which has the given equation? (x - 2)2 + (y + 1)2 = 16
Answer:
r = 4units
Step-by-step explanation:
The standard foem of equation of a line is expressed as;
(x-a)² + (y-b)² = r²
r is the radius
Compare with the given equation (x - 2)^2 + (y + 1)^2 = 16
r² = 16
r = √16
r = 4
Hence the radius of the circle is 4
calculate the lateral area and volume of a truncated cone of radii 10cm and 12cm and a slant height of 15cm
Answer:
The lateral surface is 212
Step-by-step explanation:
Lateeal surface area is = Ph
12+12+10+10(15)=212