The diameter of the equation of a circle in the xy-plane as shown is 26 units.
The standard form for finding the equation of a circle is expressed as:
[tex]x^2 + y^2 +2gx + 2fy +C= 0[/tex]
For us to get the diameter of the circle, we need to get the radius of the circle first calculated as shown:
[tex]r=\sqrt{g^2+f^2-C}[/tex]
Given the equation of the circle expressed as [tex]x^2 + y^2 - 6x + 8y = 144[/tex]
Compare with the general formula:
2gx = -6x
g = -6/2
g = -3
Similarly;
2fy = 8y
2f = 8
f = 4
C = -144
Substitute into the formula for calculating the radius;
[tex]r=\sqrt{(-3}^2+4^2-(-144)\\r=\sqrt{9+16+144}\\r=\sqrt{169}\\r=13units[/tex]
Get the diameter of the circle
d = 2r
d = 2(13)
d = 26 units
Hence the diameter of the equation of a circle in the xy-plane as shown is 26 units.
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Vanessa has 7 pieces of pizza and she wants to split them evenly between herself and 4 friends. How much will each person receive?
Answer:
each person would get about 1 4/10 slices
List the multiples of 6 through 100
Find the perimeter P of ▱JKLM with vertices J(0,1), K(3,4), L(8,4), and M(5,1). Round your answer to the nearest tenth, if necessary. Please help, got to get this done.
Adding the distances between two consecutive vertices, the perimeter of JKLM is of [tex]10 + 6\sqrt{2}[/tex] units.
The perimeter of JKLM is the sum of the distances between all consecutive vertices.Given two points, [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is of:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
The perimeter is the sum of these following distances: JK, KL, LM and MJ.Distance JK:
[tex]D = \sqrt{(3 - 0)^2 + (4 - 1)^2} = \sqrt{18} = 3\sqrt{2}[/tex]
Distance KL:
[tex]D = \sqrt{(8 - 3)^2 + (4 - 4)^2} = \sqrt{25} = 5[/tex]
Distance LM:
[tex]D = \sqrt{(5 - 8)^2 + (1 - 4)^2} = \sqrt{18} = 3\sqrt{2}[/tex]
Distance MJ:
[tex]D = \sqrt{(5 - 0)^2 + (1 - 1)^2} = \sqrt{25} = 5[/tex]
Thus, the perimeter, in units, is of:
[tex]P = 2(5 + 3\sqrt{2}) = 10 + 6\sqrt{2}[/tex]
A similar problem is given at https://brainly.com/question/20666716
Calculate the slope (50,10) (77,25)
Answer:
15/27
Step-by-step explanation:
We re-order the coords and then take the x values and subtract, and do the same with the y values to get the change Then using the slope formula, which is rise over run, or in other words
ΔY/ΔX.
77-50=27 X change
25-10=15 Y change
then we divide the y change over the x change
15/27
and that is the slope.
Answer:
The slope is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Using the slope formula ([tex]\frac{y2 - y1}{x2-x1}\\[/tex]),
[tex]\frac{25-10}{77-50}[/tex]
= 15/27
= 5/9
= 0.56
Hence, the slope is 0.56 or [tex]\frac{5}{9}[/tex]
Feel free to mark this as brainliest! :D
FRACTIONAL INDICIES
PLEASE HELP!!!
Answer:
Step-by-step explanation:
1.
a.9 ^3/2 = 27
b. 27 ^1/3 = 3
c. 125 ^2/3 = 25
b , c , a
2.
64 ^1/2 x 10 ^-2
8 x 1/100 = 2/25
3.
16 ^1/2 x 2 ^-3
4 x 1/8 = 1/2
4.
8 ^x = 2
2 ^3x = 2^1
3x = 1
x = 1/3
Simplify the following expression:
3[(x^3– 7 x + 1) – (x+ 4)]
Answer:
15 - 9
Step-by-step explanation:
3[( 3x - 7x plus 1) - (x plus 4)]
3[(-4x plus 1) - x-4
3[-4x plus 1 -x-4
3[-4x-x plus 1-4]
3[fivex -3]
fifteen x - 9
Activity: Griling with Foil
Given below are expressions in factored form in which both factors are binomials. Follow the process in multiplying the binomials using FOIL method and answer the questions that follow. Write your answer on your answer sheet.
1. (x + 1)(x + 2) = x2 + 2x + x + 2
= x2 + 3x + 2
2. (x-2)(x-3) =x2 – 3x - 2x + 6
= x2 - 5x + 6
3. (x + 3)(x-4) = x2 - 4x + 3x - 12
= x² - x - 12
A forest covers 54,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
216 acres
Step-by-step explanation:
54,000 x 0.4% = 216
For the figure shown on the right, find the value of the variable and the measures of the angles.
Step-by-step explanation:
x-7+3x+12+x = 180
5x+5=180
5x=175
x = 35°
m L P = x-7 = 35-7 = 28°
m L Q = 3x+12 = 3(35)+12 = 105+12 = 117°
m L R = x = 35°
[tex]f(x)=12(0.71)x[/tex]
Answer:
f (x) =8.52x
or
x=0
Step-by-step explanation:
What is the slope-intercept equation
for the following line?
The Answer: y = 2x + 7
5/6x10 tyyyyyyyyyyyyyyyyyyyyyy
Answer:
8 1/3
i think it is
Answer:
25/3 or 8 1/3
Step-by-step explanation:
5/6 x 10
5/6 x 10/1
5/3 x 5/1 cancel 6 and 10 by 2
25/3 multiply 5x5 (numerators) 3x1 (denominator)
25/3 or 8 1/3
PLEASE HELP ILL GIVE BRIANALIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
22[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Answer:
22 remainder 4
Step-by-step explanation:
it is asking for just the remainder so put 4
Find Square Root of the Following
49
Find the negative Square root of 16
Answer:
square root of 49 = √49 = 7
the negative square root of 16 = √16= -4
Step-by-step explanation:
hope it's helpful to you ☺️
Answer:
Square root of 49 is 7
negative square root of 16 is -4
determine the interprets of the line khan academy
2. Estimate the slope of the graph at x = 1
Answer:
Since
x = 1
is a vertical line, the slope is undefined.
Step-by-step explanation:
Undefined
PLEASE HELP! 100 POINTS!!
don't answer nonsense po
Let 1000=1(scale for y axis)
Co-ordinates are
(1,1.340)(2,2.180)(3,2.530)(4,2.360)(5,1.700)(6,5.40)#A
Graph attached
#B
Day 3#C
Number of tests
6x – 2 + 2x = 2(4x – 3) + 4.
Answer:
x = 0
Step-by-step explanation:
6x – 2 + 2x = 2(4x – 3) + 4
Collect like terms.8x - 2 = 8x - 6 + 4
8x - 2 = 8x - 2
8x = 8x + 0
0x = 0
x = 0
Answer:
0=0
Step-by-step explanation:
1. Combine Like Terms
6−2+2=2(4−3)+4
8x-2=2(4x-3)+4
2. Distribute
8x-2=2(4x-3)+4
8x-2=8x-6+4
3. Add the Numbers
8x-2=8x-6+4
8x-2+8x-2
4. Add 2 to both sides of the equation
8x-2=8x-2
8x-2+2=8x-2+2
5. Simplify
8−2+2=2(4−3)+4
8x=8x-2+2
8x=8x-2+2
8x=8x
6. Subtract 8x from both sides of the equation
8x-8x = 8x-8x
Answer= 0=0
PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!
Answer:
x = 8
z = 93°
You had to solve the equation 13x-17=14x-25 and than solve {360-(87*2)} /2
Decrease 12kg by 25%
Answer:
9kg
Step-by-step explanation:
100% = 12kg
75% =
75/100 × 12 = 9
WILL MARK BEST ANSWER BRAINLIEST
Miranda compared the function f (x) = 1/4x + 5 to the linear function, g(x), shown in the table.
table:
X G(X)
-9 -10
-6 -8
-3 -6
0 -4
What is the slope of the function with the larger slope?
A: 5/1
B: 1/4
C: 3/2
D: 2/3
The answer above is correct, i got it right on the test!
Lines a, b, c, d, and e are distinct lines in
the same plane. Decide if lines a and e
are parallel, perpendicular, or if there is not
enough information given.
alb, b || c, cid, die
A. parallel
B. perpendicular
C. not enough information
Answer: Pretty sure it is perpendicular.
Step-by-step explanation:
If B is perpendicular to A and B and C are parallel, that means C is also perpendicular to A. Since D is perpendicular to C, it is parallel to A. E is perpendicular to D, so it goes back to perpendicular to A.
(I will give brainiest for BEST answer) Why is a negative integer time a negative integer positive?
Answer:
We know that negative times anything means that it will change the sign. Ideally, the second negative should change the sign of our original number (which is also negative). So, our original negative sign is changed into a positive sign when a negative is multiplied to it.
Step-by-step explanation:
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Help needed ASAP!!!!!!!!
Kay and Karen went on a fishing trip.Kay caught 20 fish and Karen caught 12 fish. What is the value of the ratio
13 A wheel covers la distance of 88m after making 100 revolutions What is the radiu of the wheel?
Answer:
Circumference of a circle = 2πr (r is radius of circle )
Total distance covered in 1000 revolution = 88km = 88000 m
=> 1000 × 2πr = 88000 m
=> 2πr = 88
=> r = 88/2π (Value of π = 22/7)
Hence , r = 14 m
Step-by-step explanation:
I don't know if that's the true answer I search that
I need help with my delta math
Answer:
Definitely not a function if I am certain
6 + 1 2/3 in fraction
Answer:
[tex]\frac{23}{3}[/tex] or [tex]7\frac{2}{3}[/tex]
solution:
[tex]6[/tex] + [tex]1\frac{2}{3}[/tex]
[tex]\frac{6}{1}[/tex] + [tex]\frac{5}{3}[/tex]
[tex]\frac{6}{1}[/tex] × [tex]\frac{3}{3}[/tex] [tex]= \frac{18}{3}[/tex]
[tex]\frac{18}{3}[/tex] + [tex]\frac{5}{3}[/tex] [tex]= \frac{23}{3}[/tex]
[tex]\frac{23}{3}[/tex][tex]= 7\frac{2}{3}[/tex]
7 2/3 is the simplest form of 23/3
plz fill this out. in trying to pass. will give best answer
Answer:
AB/ZX and CB/YX and AC/ZY
Step-by-step explanation:
Hope this helps :)