Answers
=======================================================
Work Shown:
We use the intersecting chords theorem
(AH)*(HG) = (FH)*(HB)
(x-2)*(x+7) = (2x-1)*(4)
x*(x+7) - 2(x+7) = 4(2x-1)
x^2+7x - 2x - 14 = 8x - 4
x^2 + 7x - 2x - 14 - 8x + 4 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x-5 = 0 or x+2 = 0
x = 5 or x = -2
If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2
If x = 5, then we find the following lengths
AH = x-2 = 5-2 = 3HG = x+7 = 5+7 = 12FH = 2x-1 = 2*5-1 = 9Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.
Related Questions
A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.
Answers
24/6 = 4
w = 4
2(4+6) = 20
the perimeter is 20 feet
hELp mEEEEEEE pLssssssss
Answers
Answer:
its #3
Step-by-step explanation:
hope this helps
it's 3
Step-by-step explanation:
Hope it is correct
The equation p = 100 – 5t represents the percent p of battery power remaining in a tablet after t hours.
Answers
Answer:
t=-p/5+20
Step-by-step explanation:
p=100−5t
Swap sides so that all variable terms are on the left hand side.
100−5t=p
Subtract 100 from both sides.
−5t=p−100
Divide both sides by −5.
−5t/5 = p - 100/-5
Dividing by −5 undoes the multiplication by −5.
t = p - 100/-5
Divide p−100 by −5.
t=-p/5+20
What is the domain and range of the relation?
Answers
Answer:
I think option c is answer
WILL MARK BRAINLIEST!!!
Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve
Answers
11011 in base 2 means 1(24) + 1(23) + 0(22) + 1(21) + 1(20) = 27
39T in base 12 means 3(122) + 9(121) + 10(120) = 550
a typing question please help and make brainleist
Answers
540
Explanation:
What’s 9+10 I need help
Answers
Answer:
9+10=19 but if you are talking about the meme 21
Step-by-step explanation:
a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 square inches write an equation you can use to find the width in inches
Answers
Answer:
Step-by-step explanation:
Just give me the answer
The cookie recipe had the ratio of oatmeal to raisins as 5 to 1. If 6 cups of oatmeal is required, how
many cups of raisins are needed?
Answers
Answer:
1.2 cups of raisins or 1 and 1/5 cups of raisins. (Same thing) :)
Step-by-step explanation:
6/5 is 1.2. So multiply the 1 by 1.2 as well to get 1.2. This was solved by using proportions.
Hope it helps!
please help i am really struggling . i really dont get it thanks :)
Answers
Answer:
I=P-A
___________________________
What is the slope-intercept form of the equation of the line parallel to the line in the graph that passes through the point (-1, 1)?
Answers
Answer:
undefined
Step-by-step explanation:
are the terms 2x3y and 2yxlike terms? Explain. (2 points)
Math Short Answer Rubric (2 points)
Points Awarded
Criteria
2.
The ansieris correct the scent made neos while solving
nearse sous hatte sicent sec
ng skills and easoning
Answers
Answer:
Step-by-step explanation:
2x^3y and 2yx are not like terms since x^3 can't be added to x since it's not x^3 but x^2.
Plot the points A(9, 11) and B(–3, –5). Find midpoint M of AB. Then show that AM = MB and AM + MB =AB
Answers
Answer:
The midpoint is (3, 3).
Step-by-step explanation:
We are given the two points A(9, 11) and B(-3, -5).
The midpoint is given by:
[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]
So:
[tex]\displaystyle M = \Big( \frac{9+(-3) }{2}, \frac{ 11+(-5) }{2} \Big) = (3,3)[/tex]
The midpoint is (3, 3).
We want to show that AM = MB.
We can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The distance between A(9, 11) and M(3, 3) will then be:
[tex]AM=\sqrt{(9-3)^2+(11-3)^2}=\sqrt{6^2+8^2}=\sqrt{100}=10[/tex]
And the distance between B(-3, -5) and M(3, 3) will be:
[tex]MB = \sqrt{ (3-(-3))^2 + (3-(-5))^2 } = \sqrt{(6)^2+(8)^2} = \sqrt{ 100 } = 10[/tex]
So, AM = MB = 10.
Since AM = MB = 10, AM + MB = 10 + 10 = 20.
So, we want to prove that AB = 20.
By the distance formula:
[tex]AB=\sqrt{(9-(-3))^2+(11-(-5))^2}=\sqrt{12^2+16^2}}=\sqrt{400}=20\stackrel{\checkmark}{=}20[/tex]
Please help me answer this
Answers
whats the question? what does it want. ill edit this when you give me the question.
Step-by-step explanation:
Can anyone tell me if this is right? Multiple choice!
Answers
Answer:
yes its correct
Step-by-step explanation:
alex, Brittany, Charles, David, Eric and Felicia are six students sitting around a round table. David is to the right of Alex and Brittany is to the left of Charles. Felicia and David are opposite of each kther, as are Brittany and Eric. Who is sitting to the left of Felicia?
Answers
Answer:
Charles
Step-by-step explanation:
Write the equation of the line in slope intercept form that: has a slope of m=1/2 and goes through the point (2, -3) please help.
Answers
Answer:
[tex]y =\frac{1}{2}x -4[/tex]
Step-by-step explanation:
m = (1/2) ; (2 , -3)
y -y1 = m(x - x1)
[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]
A recent survey of students at John Tukey High School revealed that
18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?
Answers
Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that [tex]p = 0.18[/tex]
You randomly select 15 students
This means that [tex]n = 15[/tex]
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]
[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]
[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
A chef is preparing food for a group of 21 people. He uses a recipe that calls for 4 tomatoes
to serve six people. Since the number of tomatoes is directly proportional to the number of
people being served, how many tomatoes would he need to serve this group?
A 4
B5
C 12
D 14
Answers
Answer:
D: 14
Step-by-step explanation:
since the proportion is already 4:6, so you want to divided it by 2, so it will become 2:3, then multiply it by 7, so thats how i got 14 tomatoes for 21 people
10 points Mrs. Daniels is going to visit her grandchildren in Mexico over her summer vacation. She will be gone for one month and five days. She leaves on May 29th. When does she return? A. June 29 B. July 4 C. June 4 D. July 29
Answers
Answer:
june 4
Step-by-step explanation:
this is the answer because after may its june and she said she will be gone for 5 days so she comes home on june 4
Answer:
JUNE 4
Step-by-step explanation:
somone answer this question PLEASE
Answers
Answer:
[tex] \huge x > 3[/tex]hope this helps
Answer:
x>3
Step-by-step explanation:
thats the answer.......
What is 3/5 × 6/5? Move numbers to the boxes to show the answer. If there is no whole number, put in the first box
Answers
Answer:
18/25
Step-by-step explanation:
Solve I ready plz I need this one fast
Answers
Answer:
the answer is the 3rd one
Step-by-step explanation:
Find the distance d (P1, P2) between the points P, and P2.
P1 = (-2,5); P2 = (4,0)
(P4, P2) - (Type an exact answer, using radicals as needed.)
Answers
Answer:
[tex]\sqrt{61}[/tex] units
Step-by-step explanation:
We are given that
[tex]P_1=(-2,5)[/tex]
[tex]P_2=(4,0)[/tex]
We have to find the distance d (P1, P2) between the points P, and P2
We know that
Distance between two points (x1,y1) and (x2,y2) i
=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{6^2+25}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{61}[/tex] units
Please help asap!!
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.
А. (-4,1)
B. (-3, -4)
C. (0, -3)
D. (0,1)
E. (5,-2)
Answers
Hope this helps
Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?
Answers
Answer:
48 cuts and styles
Step-by-step explanation:
Moshde needs to make 48 haircuts and style per month to save $1,200.
Moshde makes $45 per haircut and yet incurs $960 in expenses every month.
She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.
The formula to find out the number of cuts she needs to make is:
= (Monthly expenses + Desired profit) / Profit per cut
= (960 + 1,200) / 45
= 2,160 / 45
= 48 hair cuts and style
In conclusion, Moshde needs to make 48 haircuts per month.
Find out more at https://brainly.com/question/13400675.
What is the equivalent expression of . (1/4)x - (1/2)
Answers
Answer:
1/4x + (-1/2) hope this helped!
Step-by-step explanation:
What is the estimate for each expression? Drag the number to each box.
011/2
Expression Estimate
1
8
+
2
5
13
14
−
1
10
1
12
+
1
20
Answers
Given the following expression:
[tex]\frac{1}{8} + \frac{2}{5}[/tex][tex]\frac{13}{14} -\frac{1}{10}[/tex][tex]\frac{1}{12} + \frac{1}{20}[/tex]To determine an estimate for each expression:
What is a fraction?A fraction can be defined as a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.
The parts of a fractionGenerally, a fraction comprises two (2) main parts and these include:
Numerator: it's the upper part of a fraction.Denominator: it's the lower part of a fraction.In this exercise, we would simplify and estimate the given expressions as follows:
Note: An estimate simply means an approximate value.
a. [tex]\frac{1}{8} + \frac{2}{5}=\frac{5+16}{40}=\frac{21}{40}[/tex]
For the estimate:
[tex]\frac{1}{8} + \frac{2}{5}=\frac{1}{2}[/tex]
b. [tex]\frac{13}{14} -\frac{1}{10}=\frac{130-14}{140} =\frac{116}{140} =0.83[/tex]
For the estimate:
0.83 ≈ 1
c. [tex]\frac{1}{12} + \frac{1}{20}=\frac{5-3}{60} =\frac{2}{60} =0.03[/tex]
For the estimate:
0.03 ≈ 0
Read more on fractions here: https://brainly.com/question/368260
What is 13x + 21y - 14x - y simplified?
Answers
Answer:
-x + 20y
Step-by-step explanation:
trust me.. its right
In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter
Answers
9514 1404 393
Answer:
51.3°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.
Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:
Tan = Opposite/Adjacent
tan(y) = (10 cm)/(8 cm) = 1.25
Then the angle is found from the inverse tangent function:
y = arctan(1.25)
y ≈ 51.3°