Answer:
-1 and -3
(n+7)(n-8)
Step-by-step explanation:
1. Find the Zeros
[tex]f(x)=x^{2} +4x+3[/tex]
[tex]f(x)=\left(x+1\right)\left(x+3\right)[/tex]
[tex]x+1=0\\x=-1\\x+3=0\\x=-3[/tex]
2. Factoring Trinomials
[tex]f(x)=n^{2} -n-56[/tex]
[tex]f(x)=\left(n+7\right)\left(n-8\right)[/tex]
[tex]n+7=0\\n=-7\\n-8=0\\n=8[/tex]
WILL GIVE BRAINLEST 50 POINTS!
6.9.4 Journal: Similar circles
Scenario: Prove That All Circles Are Similar
Instructions
View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures:The two students have different methods for proving that all circles are similar.
1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)
Classmate Conjecture
John
Teresa
Evaluate the Conjectures:
2. Intuitively, does it make sense that all circles are similar? Why or why not? (1 point)
Yes just because some are small and some are big doesn't mean that they are different. And the formula for a circles circumference is C=2pi r and 2 and pi are alaway the same the only thing that changes is r.
Construct the Circles:
3. Draw two circles with the same center. Label the radius of the smaller circle r1 and the radius of the larger circle r2. Use the diagram you have drawn for questions 3 – 10. (2 points)
4. In your diagram in question 3, draw an isosceles right triangle inscribed inside the smaller circle. Label this triangle ABC. (1 point)
5. What do you know about the hypotenuse of △ABC? (2 points)
6. In your diagram in question 3, extend the hypotenuse of △ABC so that it creates the hypotenuse of a right triangle inscribed in the larger circle. Add point Y to the larger circle so it is equidistant from X and Z. Then complete isosceles triangle XYZ. (1 point)
7. What do you know about the hypotenuse of △XYZ? (2 points)
8. How does △ABC compare with △XYZ? Explain your reasoning. (2 points)
9. Use the fact that △ABC ≈ △XYZ to show that the ratio of the radii is a constant. (2 points)
Making a Decision
10. Who was right, Teresa or John? (1 point)
Further Exploration:
11. What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:I see the questions but is there supposed to be a chart or is it just questions?
Step-by-step explanation:
Answer:
I got the first one which is
John -if a circle is put it into the center of another and dilate to show that they are similar.
Teresa - says that if all corresponding parts of two circles have the same ratio they are similar.
Yes, all circles seem to be similar
Find anequation of the line containing (3,-4) and having slope -2. If this line
contains the points (2,8) and (5.b), find a and b.
Answer:
A linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we want to have a slope equal to -2, then our line will be something like:
y = -2*x + b
Now, we also want this line to pass through the point (3, -4)
This means that when x = 3, we must have y = -4
Then:
-4 = -2*(3) + b
-4 = -6 + b
-4 + 6 = b
2 = b
Then our line is:
y = -2*x + 2
Now, the second part says that:
If this line contains the points (2,8) and (5.b), find a and b.
This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:
If this line contains the points (a,8) and (5.b), find a and b.
If the line contains the point (a, 8), this means that when y = 8, we must have x = a.
Then:
8 = -2*a + 2
8 - 2 = -2*a
6 = -2*a
6/-2 = -3 = a
a = -3
Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.
Then:
b = -2*5 + 2 = -10 + 2
b = -8
A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60 were sold, how many of each type were sold?
9514 1404 393
Answer:
8 white shirts22 colored shirtsStep-by-step explanation:
Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...
10.50c +9.95(c -14) = 310.60
20.45c -139.30 = 310.60 . . . . . . simplify
20.45c = 449.90 . . . . . . . . . . add 139.30
c = 22 . . . . . . . . . . . . . . . . . divide by 20.45
c-14 = 8
22 colored shirts and 8 white shirts were sold.
Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie
So out of the 2 pies there would be 16 pieces
Answer:
there is 16 pieces
Step-by-step explanation:
0.2 as a fraction (out of 100)
one number is 2 more than another. the difference between their square is 36. what are the numbers
In 2020, you purchase a car for $8000. The value of the car depreciates by 4% each year. What will the approximate value of the car be in 2027? *
Answer:
Step-by-step explanation:
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
Cody's Seafood House purchases
shrimp for $5.00 per pound. If the
shrimp is marked up 65% how much,
will guests pay for 2 pounds of
shrimp ?
Answer:
Try this
Step-by-step explanation:
So what you have to do is turn 65% into a decimal. 65% as a decimal is 0.65.
Then what you want to do is divide 5.00 and 0.65 and see what you get.
Find the slope of the line that passes through (1, 11) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
i think it would be negative. -1/8
I WILL GIVE BRAINLIEST!! :>
A baker uses 2/7 of a bag of sugar for every batch of cookies. The baker used 4 2/7 bags of sugar yesterday. How many batches of cookies did the baker make?
Answer:
15
4 2/7= 30/7
30/7 times 7/2= 15
18 ÷ {[(7 × 2) − (26 ÷ 2)] + 1} =
Answer:
9
Step-by-step explanation:
18 ÷ {[(14) - (13)] + 1}
18 ÷ {1+1} =
18 ÷ 2 = 9
Hope that helps!
help me plz with that
Solve the inequality. y - 28 > 53
y > 28
y > 53
y > 81
y > 25
Answer:
y > 81
Step-by-step explanation:
82 - 28 = 54
So, 54 > 53
(I don't know how to explain this properly but this is the answer)
Please answer right I will reward with brainalist + 10 points
Answer:
Complementary angles
Step-by-step explanation: Two angles that = 90 degrees is the definition or complementary. Supplementary is 180 degrees. Vertical is just a straight angle. The reason why it isn't a right angle is because a right angle is one individual angle not 2 or more equaling 90 degrees.
Which expression is equivalent to -1/3(6x + 15) - 3?
Answer:
6-x=0
Step-by-step explanation:
-2x+12=0(divide by 2)
6-x=0
Answer:
D is the answer
-2x-8
Step-by-step explanation:
I hope this helps! ^^
Insert one term between -13 and -119 to create an arithmetic sequence of three terms.
Answer:
-66
Step-by-step explanation:
- 13, ____, -119
first, find the common difference:
-13 - (-119) = 106
next, divide 106 by 2: [tex]\frac{106}{2}[/tex] = 53
so, the common difference is 53.
now, subtract 53 from -13:
-13 - 53 = -66
Answer:
-66
Step-by-step explanation:
the sequence goes -13,-66,-119
just subtract with 53
(decreasing arithmetic sequence)
I need help!
Can you help me please!
Answer:
Step-by-step explanation:
If you use the Puythagorean Theorem, you know that 3^2+3.75^2=X^2 (with X being the hypotenuse)
Then, you simplify and add. you should get 23.0625=X^2
After that you √ (square root) both of them and you get 4.80234318=X
Tennis practice last for 1 hour and 35 minutes
Answer:
Where's the rest of this question??
pls answer any that you can!!!
Answer:
12, 45, 1.8, -9, 18
Step-by-step explanation:
up up down down left right left right b a start
There were 208 sixth graders who attended the school dance. If this was 65% of the whole 6th grade, how many 6th graders are there?
Answer:
320
Step-by-step explanation:
x = y/%
x = 208/65%
65% = 0.65
x = 208/0.65
x = 320
Pls answer a and b I will give brainliest answer
Answer:
a. True, b. y = (-1/2)x + 8
Step-by-step explanation:
Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.
Answer:
1) not proportional - not starting from origin
2) (2,8) - i did it in coordinates
have a great day
Thirty eight years ago George was 14. how old is he now
Answer:
I believe you need to add 38 and 14 together to get answer of 52 years old.
Find the volume of the figure
Answer:
66 ft³
Step-by-step explanation:
The figure can be divided into a cuboid and a triangular prism.
Volume of the cuboid = l × w × h
Where l = 6ft, w = 3 ft and h = 2 ft
Volume = 6 × 3 × 2 = 36 ft³
Volume of the triangular prism = Cross sectional area × Width
Where Cross sectional area = 0.5 × 10 ft × 2 ft and Width = 3 ft
Volume = 10 × 3 = 30 ft³
Total volume = Volume of the cuboid + Volume of the triangular prism
∴ Volume of the figure = 66 ft³
Ms. Jenkins stocks a pond with fish. For every 6 bluegill fish, she puts in 1 rock bass fish. Does this ratio mean that Ms. Jenkins puts 6 bluegill fish into the pond? Explain your reasoning.
Answer:
Ms. Jenkins puts for every 6 bluegill fish one rock bass fish so she puts the number multiple of 7
Solve: x + 6 = -11
May I please have help with this?!
Answer:
x=-17
Step-by-step explanation:
subtract 6 from each side and simplify and you'll get -17
Find the exact value of tan 67.5° trig
Answer: 1 + [tex]\sqrt{x} 2[/tex]
Suppose you know that 10% of 250 is 25. How could you use
that information to find 30% of 250?
Answer:
triple the answer
Step-by-step explanation:
.1×250=25
.3×250= 75
25×3=75
Help please its math triangles..
Answer:
28
Step-by-step explanation:
Add the top and bottom bases, divide by 2, multiply by height.
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. a. What kind of a distribution does X have (name and values of all parameters)
Answer:
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.
This means that [tex]N = 18, k = 8[/tex]
We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.
Suppose that six of these individuals are randomly assigned to a particular examiner.
This means that [tex]n = 6[/tex]
a. What kind of a distribution does X have (name and values of all parameters)
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.