Answers
Answer:
x = 4, x = 8
Step-by-step explanation:
(9)
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
x(x + 6) = 5(5 + 3)
x² + 6x = 5 × 8 = 40 ( subtract 40 from both sides )
x² + 6x - 40 = 0 ← in standard form
(x + 10)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x - 4 = 0 ⇒ x = 4
x > 0 then x = 4
(11)
Given a secant and a tangent from an external point to the circle, then
The square of the tangent is equal to the product of the external part and the whole of the secant, that is
x(x + 10) = 12²
x² + 10x = 144 ( subtract 144 from both sides )
x² + 10x - 144 = 0 ← in standard form
(x + 18)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 18 = 0 ⇒ x = - 18
x - 8 = 0 ⇒ x = 8
x > 0 then x = 8
Related Questions
Anya had 4 pounds of bananas and 3 1/2 pounds of apples. If she have 1/4 of her bananas to James, how many pounds of bananas does she have left
Answers
Answer:
3 3/4 pound of bananas
hope this helps
I have a question True or False
The slope of the line y=3x is 3
Answers
Answer:
TRUE
Step-by-step explanation:
I HOPE IT'S HELP .............
0.0007 in standard form
Answers
Answer:
very simple 0.0007 = 7 / 10000 lol
Step-by-step explanation:
hope this is helpful!
3 ( x - 3 ) = 5x - 4 + 3 ( 7 - x )
x = ?
i tried working it out and got 21 but the answer was 26 , how do you show your workings
Answers
Answer:
26
Step-by-step explanation:
3 ( x - 3 ) = 5x - 4 + 3 ( 7 - x )
3x-9 = 5x-4 + 21 - 3x
collect like terms
3x-9 = 2x +17
move the terms
3x-2x = 17+9
x=26
Answer:
26
Step-by-step explanation:
3 (x-3) = 5x - 4 + 3 (7-x)
3x - 9 = 5x - 4 + 21 - 3x
3x - 9 = 5x - 3x + 17
3x - 9 = 2x + 17
3x - 2x = 17 + 9
x = 26
At a certain pizzeria, it is known that 12% of orders are for extra-large pizzas. What is the probability that the 6th pizza ordered is the first extra-large pizza? 0.0633 0.4644 0.5277 0.9367
Answers
[tex]0.0633[/tex] is the the probability that the 6th pizza ordered is the first extra-large pizza.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, at a certain pizzeria, it is known that 12% of orders are for extra-large pizzas.
We have to find, what is the probability that the 6th pizza ordered is the first extra-large pizza.
Probability of extra-large pizzas [tex]=\frac{12}{100}[/tex][tex]=0.12[/tex]
Probability of other pizzas[tex]=1-0.12=0.88[/tex]
Hence, the probability that the 6th pizza ordered is the first extra-large pizza[tex]=0.88^{5}[/tex]×[tex]0.12[/tex](since first 5 pizzas are other pizza)
[tex]=0.527[/tex]×[tex]0.12[/tex]
[tex]=0.0633[/tex]
Hence, we can conclude that [tex]0.0633[/tex] is the probability that the 6th pizza ordered is the first extra-large pizza.
Learn more about probability here:
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PLEASE HELP ASAP
What is the area of this polygon?
Answers
Answer:
45
Step-by-step explanation:
The area can be found by sectioning the polygon into three shapes. A rectangle with an area of 18 inches can be found at the bottom, while the top can be divided into two triangles. The triangle on the left has an area of 18in^2, (1/2*6*6) while the triangle on the right has an area of 9 in^2 (1/2*6*3).
Total area for all three shapes is 45 sq. inches
3 3/4 cm x 2 1/2 =
please answer fast
Answers
Answer:
9 3/8, this is the real answer to it. Sorry if i couldnt give you an explaination. i tried, but it refreshed and didnt save my answer for your question.
What is the answer to this question?
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Radius = 8 mm
Answers
The table shows the approximate area in square miles of the largest and smallest states in the United States.
State Area (mi2)
Alaska 873
Rhode Island 392
What is the difference between the areas in square miles?
__ square miles
Answers
The difference between the areas in square miles is 481.
Given that Alaska is 873 sq miles in size, while Rhode Island is 392 sq miles in total, to determine what is the difference between the areas in square miles, the following calculation must be performed:
873 - 392 = X 481 = X
Therefore, the difference between the areas in square miles is 481.
Learn more about maths in https://brainly.com/question/25273534
Help me plssssssssssssssssssssa
Answers
Answer:
i believe the answer is A.
Step-by-step explanation: Because the angle PQS is not a 90 degree angle it should equal 180 degrees, it is now lowered down to the answers A. and B. Answer B. has 2x and answer A. has just x. if it were to be 2x then the x would have to represent 30 degrees but the point plotted x does not equal 30 degrees therefore leaving the last answer as A. x-60=180
OOOOOOKKKK ANSWER DIS MANEEEEEEEE
Four polynomials are shown below:
A. 3 − 7x5 + x2
B. 5x3 + 5 − 3x
C. 3x + 2x3 − x2 + 6 + 2x
D. 3x3 − 5 + 2x5 + x + 2x2
Which of the above polynomials is a 5th degree trinomial? (1 point)
Polynomial A
Polynomial B
Polynomial C
Polynomial D
Answers
Answer:
Polynomial D
Step-by-step explanation:
HOW DO YOU FIND ANGLE 1
Answers
Answer:
If we add up all the angles of any triangle, we should get 180 degrees. Therefore, Angle C = 90 (angle A) - 45 (angle B) = 45 degrees. Since there was a ray drawn from A through C the exterior angle of angle C is angle 1.
Step-by-step explanation:
a "one angle" A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. ... Because a full rotation equals 2π radians, one degree is equivalent to π180 radians.
Width
5х
10x^2
5x
What is the width of Heng's area model?
Width =
Answers
Answer:
10
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What is the slope of the line on the graph?
Answers
Answer:
5
Step-by-step explanation:
the slope is the change in y divided by the change in x
as y goes up 5 x goes up 1
5/1=5 so the slope is 5
Answer:
6
Step-by-step explanation:
To find the slope you use rise over run.
Count how far each of the dots are from each other and you should get 6. That is your rise. See how far it goes to the right or left and you should get 1, which is your run.
Since it is rise over run, it would be 6/1, which makes your answer 6
Which function is best represented by
the graph?
A- g(x)=6(1/3)^x
B-g(x)=6(3)^x
C-g(x)=6-(1/3)^x
D-g(x)=6-(3)^x
Plsss help I will mark u brainliest
Answers
I need to know what 1683 divided bye 60
Answers
Answer:
28.05
Step-by-step explanation:
Divide them, a caculater will also show the same result.
Answer:
28.05
Step-by-step explanation:
hope that helps if it is correct please mark as brainliest.
thank you
What is the ratio of red to blue squares in its simplest form?
14 red 4 blue
Answers
Simplest Form: [tex]7 : 2[/tex]
How to Simplify a Ratio A : B when A and B are both whole numbers:
List the factors of AList the factors of BFind the greatest common factor of A and B, GCF(A, B)Divide A and B each by the GCFUse the whole number results to rewrite the ratio in simplest formTry to reduce the ratio further with the greatest common factor (GCF).
The GCF of 14 and 4 is 2
Divide both terms by the GCF, 2:
14 ÷ 2 = 7
4 ÷ 2 = 2
The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :
14 : 4 = 7 : 2
Therefore:
14 : 4 = 7 : 2
Given that lines q and m are parallel and are cut by two
different transversal lines, j and k, use angle relationships
to determine the measure of each numbered angle:
Answers
angle 1 = 180-110 = 70 degrees (linnear pair)
angle 2= 180-115 = 65 degrees (linnear pair)
angle 3 = angle 2 = 65 degrees (corresponding angles)
angle 4= 180 - angle 3 = 180-65 = 115 degrees (linnear pair)
(your teacher might not like this, depends on the cituation, but use 180 degrees in triangle to get 7)
angle 7 = 180 -angle1 -angle 2= 180-70-65= 45 degrees
angle 6 = angle 7 = 45 degrees ( vertical angles)
angle 8= 180- angle 7= 180-45 = 135 ( linnear pair)
angle 9 =angle 6 = 45 degrees (corresponding angles)
angle 5=angle 9=45 degrees (vertical angles)
12,589 + 31,775 = 12,600 +__
please help:)
Answers
Answer:
31764 is the answer ....
Hope it helps!!!
Answer: 12,600 + 31,764
Step-by-step explanation:
Answer please
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
The graphs of square root functions are always curved.
Two angles are supplementary. The measure of one angle is 5 greater than 40% of the other. Find the measures of both angles.
Answers
Answer:
Step-by-step explanation:
0.40beta%2Bbeta=180-5
1.40beta=175
beta=175%2F1.40
highlight%28beta=125%29�
then alpha%2B125=180 =>alpha=180-125 =>highlight%28alpha=55%29
The required values of angles are 125 and 55.
What is angle ?When two straight lines come together at a point, they produce an angle, which is represented by the symbol.
Given that,
Two angles are supplementary to each other.
Let angles are α and β.
According to given condition,
α + β = 180 (1)
Also, the measure of one angle α is 5 greater than 40% of the other.
α = 0.4 β + 5 (2)
Substitute the value of α in equation (1),
0.4 β + 5 + β = 180
1.4 β = 175
β = 175 / 1.4 = 125
The value of α =0.4 x 125 + 5 = 50 + 5 = 55
The value of angle α and β are 125 and 55.
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Which of the following is most likely the next step in the series?
Answers
Answer:
your answer is D
Step-by-step explanation:
hope it helps
have a great day (:
1. The amount of share per person varies inversely as the number of persons among whom the amount is to divided. Suppose the share per person is Php 257 350, if there are 7 people. How much is each share if 12 people will partake of the amount?
Given:
Asked:
Representation:
Equation:
Solution:
2. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 120 kg on Earth weighs 48 kg on Mars. How heavy would a 100-kg person weigh on Mars?
Given:
Asked:
Representation:
Equation:
Solution:
3. A simple interest (I) varies jointly with the amount of principal (P) and the length of time. Suppose I = Php 600 when P = Php 10 000 and t = 2 years. What is the interest when P = Php 15 000 and t = 4 years?
Given:
Asked:
Representation:
Equation:
Solution:
Answers
Answer:
150120.83 ; 40 ; 1800
Step-by-step explanation:
Amount of share per person = x
Number of persons = y
x = k/y
k = constant of proportionality
k = xy
257,350 * 7 = 1801450
k = 1801450
If there are 12 persons ; y = 12
x = k/y
x = 1801450 / 12
x = 150120.83
2.) weight on Mars = m
Weight in earth = e
m α e
m = ke
48 = 120k
k = 48 / 120
k = 0.4
m = 0.4 * 100
m = 40
3.)
I α pt
I = kpt
600 = k * 10000 * 2
600 = 20000k
k = 600/20000
k = 0.03
I = 0.03 * 15000 * 4
I = 1800
Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?
Mary can fill 4 bottles of water.
Mary can fill 14 bottles of water.
none of these
Mary can fill 6 bottles of water.
Answers
Answer:
she can fill 6 if them
Step-by-step explanation:
2/3 ÷ 4 = 1/6
A plumber has 150m of pipes.The plumber uses 20% fitting a central heating system,and then 25% of what is left to fit a bathroom. How much pipe does the plumber use to fit the bathroom?
Answers
Answer:
30 m
Step-by-step explanation:
Total length of pipe = 150 m
Central heating system = 20% of 150 m
= 0.2 × 150
= 30 m
Length of pipe remaining = 150 m - 30 m
= 120 m
Bathroom fitting = 25% of 120 m
= 0.25 × 120
= 30 m
The plumber used 30 m of pipe to fit the bathroom
2(10.8 k+ 2.9) What's the answer
Answers
I believe is the answer good luck!
what is 4x-7y=3
x-7y=-15
Answers
Answer:
0 i think if im wrong im sorry
Step-by-step explanation:
Answer:
The answer is x=6, y=3
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15
Simplify.
−4x+7y=−3x−7y=−15
Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18
Divide each term by −3 and simplify.
x = 6
Substitute the value found for x into one of the original equations, then solve for y.
y = 3
The solution to the independent system of equations can be represented as a point.(6,3)
The result can be shown in multiple forms.
Point Form: (6,3)
Equation Form: x=6, y=3
You and your friend are two of eight servers working a shift in a restaurant. At the beginning of the shift,
the manager randomly assigns one section to each server. Find the probability that you are assigned
Section 1 and your friend is assigned Section 2. Express you answer as a fraction in simplest form.
The PROBABILITY is _____.
pleeease i need this by noon
Answers
Answer:1/56
Step-by-step explanation:1. 8P8 = 8!/(8-8)!=8!/0!=8
2. 6P6 = 6!/(6- 6)! = 6!/0!=6
3.6/8=7.8=1/56
Find the percent rate of change for each
function and tell whether it shows
exponential growth or decay.
a) y = 110(.95)
b) y = 1.08(1.07)
plz help!!
Answers
Answer:
Step-by-step explanation:
a) f(t) = 110(0.95)^t
0.95<1, so the function shows 5% decay
b) f(t) = 1.08(1.07)^t
1.07 > 1, so the function shows 7% growth
Find the area of the sector.
310 degrees
11ft radius
Answers
Answer:
area of sector=310/360×π×11²=327.46ft²
