Answers
Given:
A figure of a circle. [tex]KJ=6,KL=x-2,ML=4[/tex].
To find:
The length of KJ.
Solution:
From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.
Therefore, the length of KJ is 6 units.
Note: In the given question we need to find KL instead of KJ because KJ is already given.
According to the tangent secant theorem:
[tex]a^2=bc[/tex]
Where,
a is the length of the tangent.b is the length of the external segment of the secant.c is the measure of the secant.Using the tangent secant theorem, we get
[tex]ML^2=KL\times JL[/tex]
[tex](4)^2=(x-2)\times (6+x-2)[/tex]
[tex]16=(x-2)\times (4+x)[/tex]
[tex]16=4x+x^2-8-2x[/tex]
On further simplification, we get
[tex]16=x^2+2x-8[/tex]
[tex]0=x^2+2x-8-16[/tex]
[tex]0=x^2+2x-24[/tex]
Splitting the middle term, we get
[tex]x^2+6x-4x-24=0[/tex]
[tex]x(x+6)-4(x+6)=0[/tex]
[tex](x+6)(x-4)=0[/tex]
[tex]x=-6,4[/tex]
For [tex]x=-6[/tex],
[tex]KJ=-6-2[/tex]
[tex]KJ=-8[/tex], which is not possible because side cannot be negative.
For [tex]x=4[/tex],
[tex]KJ=4-2[/tex]
[tex]KJ=2[/tex]
Therefore, the measure of KL is 2 units.
Related Questions
24+z/10 = 31 solve for Z
Answers
Simplify both sides of the equation
Subtract 24 from both sides
Multiple both sides by 10
George Washington looks kinda different here ngl
Answers
Answer:
Yeah you know something might be a little off
Answer: yeah ur right but I’m confused if he’s really George Washington. I’m not sure I don’t think George Washington
Step-by-step explanation:
value of x if 3x+2y=11 and 5x-y=14
Answers
Answer:
3x + 2y = 11
3x + y = 11 - 2
3x + y = 9
x + y = 9/3
x + y = 3
x = 3 - y
5x - y = 14
x - y = 14/5
x - y = 2.8
x = 2.8 + y
14Answer:
3
Step-by-step explanation:
solve for y in first equation
5x-y=14
-y=14-5x
y=5x-14
substitute y value (5x-14) into 2nd equation
3x+2 (5x-14)=11
3x+10x-28=11
13x=39
x=3
⚠️URGENT PLS HELP
LINKS WILL BE REPORTED
Answers
Answer:
e and c
Step-by-step explanation:
0.782 ___ 0.784
I Need HElP NOW!
Answers
this is correct because 2 is less than 4
Answer:
0.783, just look at the pattern.
If you're comparing, this is the answer:
<
if P = 5, 4 find the image of P under the following rotation
Answers
Answer:
(-4,5)
Step-by-step explanation:
90 degree rotation = (-y,x)
Perform the following subtraction - 1/2 - (- 7/10)
Answers
Answer:
1.2
I t is the answer
The hypotenuse of a right triangle measures 11 cm and one of its legs measures 1 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
10.9 is the length of the other leg
Step-by-step explanation:
use the reverse Pythagorean therm
the square root of 11(squared) - 1(squared) = 10.9
A farmer bought a number of pigs for $160. However, 8 of them died before he could sell the rest at a profit of 6 per pig. His total profit was $8. How many pigs did he originally buy?
Answers
Answer:
The farmer bought 36 pigs in all.
Step-by-step explanation:
Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:
160 + 8 = 168
168/6 = 28
28 + 8 = 36
Thus, the farmer bought 36 pigs in all.
What is the area of the shaded segment ?
Answers
9514 1404 393
Answer:
5.1 cm²
Step-by-step explanation:
The area of a segment is given by the formula ...
A = 1/2r²(α -sin(α)) . . . . . where α is the central angle in radians
For this segment, its area is ...
A = 1/2(6 cm)²(7π/18 -sin(70°)) ≈ 5.077 cm²
The area of the segment is about 5.1 square centimeters.
_____
The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.
What is the vertex of the graph of
y = 2(x + 6)^2 – 2?
O A. (2.6)
O B. (-6,2)
O C. (-6, -2)
O D. (6,-2)
Answers
Someone please help me answer this correctly!!
Answers
Answer:
The answer would be 8 < Rad 70 < 9 .
Step-by-step explanation:
Hope it was helpful & correct :D
-Mojd.
A group of students is painting the background of a set for a school play what is the area of the part that is painted in gray
Answers
Question 11. What is the product of 1.6 x 10- and 3.2 x 10' A. 5.12 x 10-4 B. 5.12 x 10 C.5.12 x 10 D. 5.12 x 104 please help will mark as brallinat
Answers
Answer:
A- [tex]5.12*10^{-4}[/tex]
Step-by-step explanation:
1.6* 3.2
add the exponents so 10 to the -4
PLEASE HELP ME PLEASEE
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: A= 1 b= -8 c= -20
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
a = 1
b = -8
c = -20
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Can somebody plz help me with 16 and 19
Answers
Answer:
BRAINLIESTTTTYSYDEUJEJE JJ3JEHSSNAAKPlease help
The formula for the Volume...
Answers
Answer:
cones
Step-by-step explanation:
Volume of a cone:
V = (1/3)πr2h
Consider the function f(x) = x3 + 34 over the interval [–3, 4]. According to the extreme value theorem, the function has a minimum value of
and a maximum value of
.
Answers
The answer for this question is:
7, 98
The minimum value of the function is 7 and the maximum value of the function will be 98.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = x³ + 34
The function is defined for the interval of [–3, 4].
The minimum value of the function at x = –3 will be
f(–3) = (–3)³ + 34
f(–3) = –27 + 34
f(–3) = 7
The maximum value of the function at x = 4 will be
f(4) = (4)³ + 34
f(4) = 64 + 34
f(4) = 98
Thus, the minimum value of the function is 7 and the maximum value of the function will be 98.
The graph is given below.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a 6 and flipping tails is
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a number less than 3 and flipping tails is
.
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a number less than 3 and flipping tails is
.
.
Answers
Answer:
0
Step-by-step explanation:
there is no 6 option on the spinner
Gillian has completed 25% of a bicycle race. If the length of the race is 32 km, how many has she traveled so far?
800
80
8
8000
Answers
Answer:8
Step-by-step explanation:
find the missing length
Answers
Number 2. G-E is 20 and F-E is 10
Factoring out the GCF of the polynomial 2x^6+2x^5 will give
Answers
hope this helps
At the city museum, child admission is $5.30 and adult admission is $9.20. On Monday, 121 tickets were sold for a total sales of $836.30.
How many adult tickets were sold that day?
Answers
Answer:
50 adult tickets were sold that day.
Step-by-step explanation:
Child ticket is $5.30Adult ticket is $9.20Total amount of ticket sold is 121, for $836.30We will use "c" to represent child ticket and "a" to represent adult ticket
Using these info, we can make a system of equations:
[tex]\left \{ {{9.2a + 5.3c = 836.3} \atop {a + c = 121}} \right.[/tex]
Solve the system of equations using substitution.
a + c = 121
c = 121 - a
9.2a + 5.3 (121 -a) = 836.3
9.2a + 641.3 - 5.3a = 836.3
3.9a = 195
a = 50
50 adult tickets were sold that day.
HELP MEEEEEEE PLEASE
Answers
Answer:
C
Step-by-step explanation:
The last part is -8, which means 8 fewer.
4 less than the product of 8 and a number is equal to 6
Answers
+4 +4
6x=12
6x/2=12/6
X=2
solve the system of equations -3x+2y=-3 and -x-y=-11 by combining the equations
Answers
Answer:
-4x, 1y, -14
Step-by-step explanation:
Hope this helps :)
Find KL.
K
X-1
L
12
M
Answers
Answer:
KL = 9
Step-by-step explanation:
(7 + x - 1)(x - 1) = 12²
(x + 6)(x - 1) = 144
x² -x + 6x - 6 = 144
reduce:
x² + 5x -150 = 0
(x + 15)(x - 10) = 0
x = -15, x = 10
KL = 10 - 1 = 9
20 POINTS!! PLEASE HELP!! GIVING BRAINLIEST:)
Answers
Answer:
d
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 5 x + 6 = 0
The left hand side factors into a product with two terms:
(x + 2) (x + 3) = 0
Split into two equations:
x + 2 = 0 or x + 3 = 0
Subtract 2 from both sides:
x = -2 or x + 3 = 0
Subtract 3 from both sides:
Answer: |
| x = -2 or x = -3
A 12-kg bag of mangoes costs $9.00
Answers
Answer:
I think it would be around $1.33 for each kg
Step-by-step explanation:
You would divide 12 by 9. Once you do that, you get 1.33
Use the suggested substitution to write the expression as a trigonometric expression. Simplify your answer as much as possible. Assume 0≤θ≤π2.
[tex]\sqrt{9x^2+36[/tex] , x/2=cot(∅)
Answers
Answer:
[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{2}=\cot(\theta)[/tex]
Required
Express [tex]\sqrt{9x^2+36}[/tex] as trigonometry expression
[tex]\sqrt{9x^2+36}[/tex]
Factorize
[tex]\sqrt{9x^2+36} = \sqrt{9(x^2+4)}[/tex]
Split
[tex]\sqrt{9x^2+36} = \sqrt{9} * \sqrt{(x^2+4)}[/tex]
[tex]\sqrt{9x^2+36} = 3 * \sqrt{(x^2+4)}[/tex]
[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]
We have:
[tex]\frac{x}{2}=\cot(\theta)[/tex]
Make x the subject
[tex]x = 2 \cot(\theta)[/tex]
So:
[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]
[tex]\sqrt{9x^2+36} = 3\sqrt{((2 \cot(\theta))^2+4)}[/tex]
Evaluate all squares
[tex]\sqrt{9x^2+36} = 3\sqrt{4\cot^2(\theta)+4}[/tex]
Factorize
[tex]\sqrt{9x^2+36} = 3\sqrt{4(\cot^2(\theta)+1)}[/tex]
Split
[tex]\sqrt{9x^2+36} = 3\sqrt{4} * \sqrt{\cot^2(\theta)+1}[/tex]
[tex]\sqrt{9x^2+36} = 3*2 * \sqrt{\cot^2(\theta)+1}[/tex]
[tex]\sqrt{9x^2+36} = 6 * \sqrt{\cot^2(\theta)+1}[/tex]
In trigonometry
[tex]\cot^2(\theta)+1 = \csc^2(\theta)[/tex]
So, we have:
[tex]\sqrt{9x^2+36} = 6 * \sqrt{\csc^2(\theta)}[/tex]
Evaluate the square root
[tex]\sqrt{9x^2+36} = 6 * \csc(\theta)[/tex]
[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]
