Answer:
Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P
Step-by-step explanation:
The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)
The radius of [tex]\bigodot[/tex]O, r₁ = 5
The given center of the circle [tex]\bigodot[/tex]P = (12, -1)
The radius of [tex]\bigodot[/tex]P, r₂ = 12
The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;
a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4
We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P
∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know?
Part B: Explain what the solution from Part A means in the context of the problem.
Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP
A line that includes the point (1,8) has a gradient of 2. What is its equation in
gradient-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
ere to search
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Answer:
y=2x+6
Step-by-step explanation: y=mx+b
substitute in known values y=2x+b gradient is 2 (given)
substitute in coordinate values (1,8) 8=2(1)+b
solve for B 8=2+b
-2 -2
6=b
therefore the answer is y=2x+6
plot 7/8 and 2 1/4 on a number line
The given fractions are plotted on number line as given below.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].
To plot fractions on the number line, follow the steps given below:
Step 1: Draw a number line of a suitable length.
Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.
Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.
Step 4: Starting from the left point, count forward the number of parts shown by the numerator.
Step 5: Mark the point on the line.
Hence, the given fractions are plotted on number line as given below.
Learn more about the number line here:
https://brainly.com/question/13425491.
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P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.
Answer:
P
[tex] \alpha [/tex]
1/q²
P=k/Q²
K=P×Q²
Where P=9
Q=8
K=?
K=9×8²
K=9×64
K=573
So where K= 573
Q=3
P=?
P=K/Q²
P=573/3²
P=573/9
P=63.67
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1 point
Solve the system of linear equations. Check your solution.
2x+y = 3
X-y= 3
Solution type your answer...
type your answer...
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x + y = 3
x - y = 3
Adding the 2 equations eliminates y:
3x = 6
x = 2.
Substitute for x in the first equation:
2(2) + y = 3
y = 3 - 4
y = -1.
Check the results by substitution in equation 2:
2 - (-1)
= 2 + 1 = 3 .
Checks OK.
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week
Answer:
B) between 8 and 24 hours per week
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 16, standard deviation of 4.
Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
Within 2 standard deviations of the mean, so:
16 - 4*2 = 16 - 8 = 8 hours per week.
16 + 4*2 = 16 + 8 = 24 hours per week.
This means that the correcgt answer is given by option B.
If the band sells 100 series A ticket and 13000 series B tickets they will earn $865000. Write an equation to represent this situation.
Answer:
100x + 13000y = 865000
Step-by-step explanation:
x = Series A price
y = Series B price
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
For every 1000 videos it makes £2 from ad revenue.
How many videos are required to make £25
Step-by-step explanation:
If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!
(the answer would be 12,500)
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answer:54.9
Step-by-step explanation:
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice . How much apple juice does Jada need if she uses 6 cups of sparkling water?
Answer:
3 cups of sparkling water
Step-by-step explanation:
So the ratio is 2:4=?:6
Setting them equal to each other, you'll divide 6 by 4
You get 1.5, then multiply 2 by 1.5 to get 3
What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11
The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
How to determine the location of the point?The points are given as:
A = 2
B = 17
Point = 3/5
The location of the point is then calculated as:
Point = A + 3/5(B - A)
So, we have:
Point = 2 + 3/5(17 - 2)
Evaluate the product
Point = 2 + 9
Evaluate the sum
Point = 11
Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
Read more about number lines at:
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Factor completely: 5x2 - 2x
A triangle has base 4 cm
and height 9 cm, What is its
area
Answer:
18 cm^2
Step-by-step explanation:
Formula for area of triangle: bh/2
4x9=36
36/2=18
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
(HElP) which answers describe the shape below?
I think it would be A, B, D and E.
slope of a line that goes through points (-8,0) and (0,6)
Answer:
3/4
Step-by-step explanation:
slope = rise / run
slope = ∆y/∆x
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 0) / ( 0 - -8)
slope = 6/8
slope = 3/4
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of 51
$?
Answer:
33.33 percent
Step-by-step explanation:
$88
Step-by-step explanation:
55 increase 60%=
55x(1+60%)=55x(1+0.6)=88
Which choice is equivalent to the expression below?
(-4)-5
A class survey provides the data shown.
1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11
Which box plot represents the class?
Jane went shopping for a new bike the bike store had an electric bike originally priced at $1500 but the only said that she could have a reduction in price of the bike by 20% what is the reduced price after Jane will pay?
Use what you know about triangles to classify this triangle.
a triangle with three equal angles and three equal sides
Question 1 options:
Acute isosceles triangle
Obtuse scalene triangle
Equiangular triangle
Obtuse isosceles triangle
Answer: C equilateral triangle
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test :)
What is the product of 3/4 multiplied by x = 1/2?
Please dont do a file or link, just the straight up answer, thanks.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Answer:
Y=2x+4
Step-by-step explanation:
Y=Mx+b is the slope intercept formula
subtract 2x so you get -y=-2x-4. Then divide everything by-1 .
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
1. Nasir borrowed $420 for six months with $77 monthly payments.
How much interest will he pay on this loan?
$77
$57
$52
$42
2. Casey borrowed $814 for nine months, with payments of $105.50 monthly.
What will he pay in interest?
$103.16
$105.80
$122.40
$135.50
Answer: 52 and 793.25
Step-by-step explanation:
Answer:
1: 52
2: 105.80
Step-by-step explanation: