Answer:
We have been given that PQ bisects . In the second statement of the given two-column proof, the statement is .
This implies that the two angles formed by bisection of angle by the line PQ are equal. We know that the reason for this is simple. It is the definition of bisection of an angle that the two smaller angles formed will be equal to each other.
Therefore, the reason for statement 2 of the given two column proof is c) Definition of bisect
Step-by-step explanation:
Jeff ran 60 yards in 30 seconds. At this rate, how many seconds will it take him to run 300 yards?
Answer: 150
Step-by-step explanation: Multiply by 5
Answer:
2 minutes and 30 seconds.
Step-by-step explanation
300 divided by 60, then times the answer by 30.
Lastly, convert the answer to units.
Solve the literal equation for y, 2x-2y=5
Answer:
y=-5/2+x
Step-by-step explanation:
A lake has an area of 63 800000 000 square metres.
Write this area in square kilometres, correct to 2 significant figures.
Answer:
63,800,000,000 square metres equals 63,800 square kilometres
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
Being a, b and c the known numbers and x the unknown variable to be calculated you have:
[tex]x=\frac{c*b}{a}[/tex]
In this case, knowing that 1 square meter equals 1*10⁻⁶ square kilometers, the rule of three applies as follows: if 1 square meter equals 1.0 * 10-6 square kilometers, 63,800,000,000 square meters to how many square kilometers is it?
[tex]Area=\frac{63,800,000,000 square meters*1*10^{-6}square kilometers }{1square meter}[/tex]
Area= 63,800 square kilometres
63,800,000,000 square metres equals 63,800 square kilometres
y=2x^2-5x+12 in vertex form
Answer:
Y = 2(x - 5/4)^2 + 71/8
A Classify the four angles of the quadrilateral
Answer:
<A= right
<B= acute
<C= obtuse
<D= acute
Step-by-step explanation:
y = x2 - 8x + 15
Axis of symmetry
Answer:
15
Step-by-step explanation:
4 / 11 please explain how to do the division steps
Use a calculator 4 divided by 11= 0.36 (2dp)
LB. Johnson middle school
Answer:
What is this????
What is the x-intercept of the line with this equation −2x+12y=18?
Answer:
The x intercept is -9
Step-by-step explanation:
−2x+12y=18
To find the x intercept, let y=0
-2x + 12(0) = 18
-2x = 18
Divide each side by -2
-2x/-2 = 18/-2
x = -9
The x intercept is -9
Answer:
x-intercept of the given line is, (-9, 0)
Step-by-step explanation:
Substitute y = 0 and solve for x:
⇒-2x = 18
Divide both sides by -2 we get;
x = -9
Therefore, the x-intercept of the line is, (-9, 0)
The equation
=
-2
is written in point-slope form. What is the equation in slope-intercept form?
y=-2x-a
y=-2x+1
y=-2x+
5
12
y=-2x-
11
12
Answer:
y=-2x+1
Step-by-step explanation:
how much was used in april?
Answer:
8/15
Step-by-step explanation:
in April, Bill used 2/3 of an amount used in March
amount used in April = 2/3× an amount used in March
2/3× 4/5 = 8/15
A point lies on AB and is the distance from A to B. Point A is located at (1, 10) and point B is located at (20, 18).
What are the coordinates of this point?
O (103, 22)
o (7, 153)
o (6, 124)
o (5, 17)
Can someone please help me with this question
Answer:
your answer is 6 and 3/7ths and 12 and 2 / 7ths.
Step-by-step explanation:
I had the question and got it right,
Please help understand thank you so much
The model and tax on $320 sales are T = 0.09p and $28.84
Expressing direct proportionality
T = kpk = constant of proportionality14.42 = 160p
p = 14.42/160
p = 0.090
Hence, the mathematical model is :
T = 0.09p2.)
Sales tax on $320 purchase :
T = 0.90 * 320T = $28.84Therefore, sales tax on $320 purchase is $28.84
Learn more on proportion: https://brainly.com/question/19994681
#SPJ1
(a) () = √ − 1 + 4 (b) ℎ() = {1
2
+ 3, < −2
4 − 2
, ≥ −2
Domain: __________________ Domain: ___________________
Range: __________________ Range: __________________
Answer:
Can you send me a picture or reformat this, It is unintelligible
need help with this
Answer:
r = √(3V/(πh))r ≈ 1.78 cmStep-by-step explanation:
Multiply by the inverse of the coefficient of r², then take the square root.
[tex]V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{\pi h}{3}r^2\\\\r^2=\dfrac{3V}{\pi h}\\\\\boxed{r=\sqrt{\dfrac{3V}{\pi h}}}[/tex]
For V=50, h=15, this is ...
[tex]{r=\sqrt{\dfrac{3(50)}{\pi(15)}}=\sqrt{\dfrac{10}{\pi}}\approx\boxed{1.78\quad\text{cm}}[/tex]
Kerry invests $682 in a savings account that earns 5.4% compounded annually. Andy invests $682 in a savings account that earns 7% compounded annually. How much is in each of their accounts after 10 years and after 20 years?
(4 points) The cost of a parking ticket is $30 for the first offense, but the cost doubles for each additional offense. Write a formula for
the cost C(n) as a function of the number of tickets n.
Problems
find C(n)=
Answer
30+ n^2= c
Step-by-step explanation:
write the equation of the line that passes through (1,-4) and is parallel to the line y=5x-15.
*slope-intercept form
Answer:
y= 5x -9
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
y= 5x -15
Gradient of given line= 5
Since parallel lines have the same gradient, gradient of the line is 5. Thus, m=5.
Substitute m=5 into the equation:
y= 5x +c
To find the value of c, substitute a pair of coordinates.
When x =1, y= -4,
-4= 5(1) +c
-4= 5 +c
c= -4 -5
c= -9
Thus, the equation of the line is y= 5x -9.
Anyone knows this I need it fast please anyone helppppp
The temperature outside can be measured by listening to crickets chirp. If you count the
number of chirps per minute, the temperature can be found using the formula T = 1/4C+40
Define the domain and range of this function and describe reasonable values for each.
Answer:
Step-by-step explanation:
The outside can be measured by listening to a crickets chirp because the frequency of chirping varies according to temperature. To get a rough estimate of the temperature in degrees fahrenheit, count the number of chirps in 15 seconds and then add 37. The number you get will be an approximation of the outside temperature.
Suppose a coefficient matrix for a system has pivot columns. Is the system consistent? Why or why not? Choose the correct answer below. A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form , so the system is consistent. B. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form , so the system is consistent. C. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have columns, could have a row of the form , so the system could be inconsistent. D. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have columns, must have a row of the form , so the system is inconsistent.
Answer:
A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form , so the system is consistent.
Step-by-step explanation:
Based on Godel's second incompleteness theorem, a system is considered consistent only when the far-right column of the augmented matrix is not a pivot column.
However, given that every column of the coefficient matrix is a pivot column, then there are no top coefficients in the far-right column of the augmented matrix.
Hence, there is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form , so the system is consistent.
find the value of the derivative at the indicated point.
f(x)= 1/x, (1,1)
[
1
What is the difference between the absolute value of -8 and the absolute value of 6?
ооо
14
o16
Answer:
The absolute value of |-8| is 8 and the absolute value of |6| is 6.
Step-by-step explanation:
Is this a function (2,4),(4,-2),(1,3),(0,3)
use interval notations to represent each number line graph
please help
Answer:
Pride comes before fall.
Algebra 2: Functions, graphing, and transformations.
For g(x)=(x+3)^2, what type of transformation takes place?
A. shifts down 3 units
B. shifts up 3 units
C. shifts left 3 units
D. shifts right 3 units
Answer:
The answer is “C” (Shifts left 3 units)
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
can someone help me, please
identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 720(0.23)
Answer:
It is
Step-by-step explanation:
If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.
Answer:
77% decrease
Step-by-step explanation:
The equation y = 17x describes the amount of money Lewis earns, where x is the number of hours he works and y is the amount of money he earns. The table shows the amount of money Carl earns for different numbers of hours worked. Carl’s Earnings Time (h) 3 5 8 10 Money earned ($) 45 75 120 150 (a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both. (b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences. (c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Lewis :
y = 17x
x = number of hours worked
y = amount of money earned
Carl:
Carl’s Earnings Time (h) 3 5 8 10
Money earned ($) 45 75 120 150
(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.
Money earned = pay per hour * hours worked
$45 = pay per hour * 3
Pay per hour = $45 / 3 = $15
Hence, Carl's earning per hour = $15
(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
Lewis : y = 17x
Carl : y = 15x
Where $17 and $15, represents Lewis and Carl's hourly pay respectively.
Hence, Carl earns more.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x
The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum
is 7 feet and the angle through which it swings is 20°, how far does the tip of the pendulum travel in 1 second?
Answer:
Since the pendulum moves from side to side in 1 sec, the length of the arc covered by the pendulum in an oscillation will be the length travelled in 1 sec
From trigonometry, we know the relation:
Θ(in radians) = l / r (where r is the length of the pendulum and l is the length of arc travelled)
But first, we need to convert 20 degrees to radians
20 degrees = π/9 radians
r = 7 feet
Now, plugging these values in the equation:
π / 9 = l / 7
l = 7π / 9 feet
l = 2.44 feet (approx)
