Answer:
[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which r is the radius.
Center (-14, -3)
This means that [tex]x_0 = -14, y_0 = -3[/tex]
So
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - (-14))^2 + (y - (-3))^2 = r^2[/tex]
[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]
Passes through the point (-5,3),
This means that when [tex]x = -5, y = 3[/tex]. We use this to find the radius squared. So
[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]
[tex](-5 + 14)^2 + (3 + 3)^2 = r^2[/tex]
[tex]r^2 = 117[/tex]
So, the equation of the circle is:
[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]
[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]
What is the probability that a point chosen inside the rectangle is in the shaded triangle?
write as reduced fraction.
Answer:
wait what
Step-by-step explanation:
Match the tangent and sine angles to their expressions.
Answer:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]
Step-by-step explanation:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]
sin(-15°) = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)
sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2
1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4
sin(-15°) = ((√2) - (√6))/4
[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]
tan(15°) = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))
(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))
((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))
(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6
(2 - √3)
[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]
tan(75°) = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))
(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)
((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))
(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6
(12 + 6·√3)/6 = 2 + √3
[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]
A system of equations is shown below,
y = 5x + 2
10x - 2y = 12
what is the solution to the system of equations?
Pleaseee helpp don’t understand!!
Answer:
Step-by-step explanation: so
First you should have paired attention and I don’t understand either sorry!
Help help (12 points)
Answer:
2m+2m
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
m+m+m+m=4m
4m-2m=2m
_m=2m
2
Decide if the function is an exponential function. If it is, state the intial value and the base. y = 5 ^ x
Answer:
B
Step-by-step explanation:
What is the y intercept
Answer:
-2
Step-by-step explanation:
line crosses the y- coordinate (0,-2)
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer: im in 100% sure but i think its yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I used photomath
actice Temperature Conversion Worksheet
Name: ________________________ Period: ______
6th Grade Comprehensive Science II
Directions: Use the following chart to answer the questions below
C = (F - 32) * (5/9)
F = (9/5) * C + 32
Use the space to show your work:
1. 25°C = _____________°F
2. 97°C = _____________°F
3. 2°C = _____________°F
4. -40°C = _____________°F
5. 25°F = _____________°C
6. 97°F = _____________°C
7. 2°F = _____________°C
8. -40°F = _____________°C
9. 85°C = _____________°F
10. 953°C = _____________°F
pls help im giving 73 points
I need help please?
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
Fill in the blanks to make the equation true. 9 4× 1= 9 4× = 45 20
Answer:
9/4× 1= 9/4× = 45/20
Step-by-step explanation:
Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house
Which of the following expressions is equivalent to the expression below.
Help please help please
Answer: 20x
expalnation: Not sure about the second one but the first problem is a trick problem your finding the mean. but it already brought the equation down to 1 so 20 is the answer
Please help me find the area
Step-by-step explanation:
1/2×28×(21+16)
calculate then u get the answer
Answer: 213
Step-by-step explanation: U are beautiful in the picture u showed
Find the solution mentally. 3⋅(-4)=a b⋅(-3)=-12 (-12)⋅c=12 d⋅24=-12
Answer:
a=-12
b=15
c=12
d=-12
Step-by-step explanation:
3(-4)=a
b(-3)=12
c=12
d(24)=12
3(-4)=a
-12=a
a=-12
b(-3)=12
-3b=12
b=12+3
b=15
c= 12
d(24)=12
24d=12
d=12-24
d=-12
What is the solution set for (2x-7)^2=25
The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The solution set for a quadratic equation is the roots of the quadratic equation.
Given, (2x - 7)² = 25.
2x - 7 = ± 5.
2x = ± 5 + 7.
x = (± 5 + 7)/2.
x = 12/2 Or 2/2.
x = 6 or 1.
learn more about quadratic equations here :
https://brainly.com/question/11589380
#SPJ2
Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.
2x - 4 = 2(x - 2)
Answer:
Infinitely many solution
Step-by-step explanation:
Simplify
2x - 4 = 2x - 4
Lets see:
if we put 1:
2 - 4 = 2 - 4
-2 = -2
Now lets try another number : 2
4 - 4 = 4 - 4
0 = 0
So we can say that there is more than one solution
this cancels out single solution and no solution
There are infinitely many solutions to the given algebraic expression 2x - 4 = 2(x - 2).
The algebraic expression is an expression that is composed of variables and their arithmetic operations.
From the given parameters
2x - 4 = 2(x - 2)Open brackets
2x - 4 = 2x - 4Since we are having the same algebraic expression on both sides;
Then, we won't be able to get exactly one solution but an infinite number of solutions.
This is because any number that is being substituted for the value of x will always give a different solution.
Learn more about algebraic expression here:
https://brainly.com/question/4344214
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
43.96
Step-by-step explanation:
To find Circumference the formula is
2*3.14*R=C
replace R with your radious which is 7
2*3.14*7=43.96
Kiki's mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846 calories. The dinner was divided into 4 equal servings. The dessert was divided into 6 equal
servings. Kiki had one serving of dinner and one serving of dessert.
Which equation could be used to solve for n, the number of calories that kiki
ate?
A. n = 992 x 4 + 846 x 6
B. n = 1,838 / 10
C. n = 992 / 4 + 846 / 6
D. n = 992 / 4 - 846 / 6
Answer: C
Step-by-step explanation:
992/4=165
846/6=141
165+141=306
(992/4) + (846/6) = 306 total calories consumed
3(6) + 4(2) - 5
What is the answer
Answer:
21
Step-by-step explanation:
3(6) +4(2) - 5
18 + 8 - 5
26 - 5
= 21
What is 5/12 of 7/8?
Answer:
35/96
Step-by-step explanation:
Someone pls help me with question 2
Answer:
8
Step-by-step explanation:
13 x 1 2/3 = 7.8
7.8 rounds up to 8
Hope this helps :)
6. the quotient of kand 14
Answer:
[tex]Q = \frac{k}{14}[/tex]
Step-by-step explanation:
Given
k and 14
Required
Determine the quotient
Quotient implies that we divide k by 14.
So, the quotient (Q) of k and 14 is:
[tex]Q = \frac{k}{14}[/tex]
please i will mark you brill help me
Answer:
2n + 20
Step-by-step explanation:
2 to the 2015 power plss helpp
Answer:
2015 * 2015= 4,060,225
Therefore, 2015×2015=4060225.
Answer: 4060225
Quizizz 10 pts each help please WITH PIC brainiest guaranteed
Answer:
2.[tex]-2m^4-6m^2+4m+9[/tex]
3.[tex]-2m^4-6m^2-4m+9[/tex]
Step-by-step explanation:
In general we can write a polynomial in standard form as
[tex]ax^n+bx^n^-^1+cx^n^-^2+...+px+q[/tex]
Given [tex]4m-2m^4-6m^2-4m+9[/tex]
Combine the like terms: 4m and -4m
4m-4m=0
We have 4m-4m=0
So, write the remaining terms
[tex]-2m^4-6m^2+9+0[/tex]
= [tex]-2m^4-6m^2+9[/tex]
This is in decreasing order of powers.
Hence the answer is the standard form is
[tex]-2m^3-6m^2+9[/tex]
But in the given options, you can choose option 2 and option 3 are in standard form.
Because they are in decreasing order of powers.
In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.
-2m^4-6m^2+4m+9
-2m^4-6m^2-4m+9
I hope this helps you.
And please comment if I need to do corrections.
Please let me know if you have any questions.
plz is this correct
?
Answer:
It's 3 and 177.
Step-by-step explanation:
Let the angle be x°. Then its supplementary is 59x°.
We know,
x+ 59x=180
or, x = 3°
and another angle, 59x°= 177°
The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?
46254 58160 09695 38399 40400 32662
462, 545, 816
009, 040, 032
160, 096, 040
046, 025, 045
Answer:
B.
Step-by-step explanation:
edge2020
Find the exact value of the product cos82.5cos52.5