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Related Questions
Which of the following describes the transformation from Figure 1 to Figure 2? On a coordinate plane, figure A B C D E has points (negative 3, 5), (negative 2, 5), (negative 1, 4), (negative 2, 3), (negative 5, 3). Figure A prime B prime C prime D prime E prime has points (2, 2), (3, 2), (4, 1), (3, 0), (0, 0). CLEAR CHECK translation 2 units to the right and 3 units down translation 3 units to the left and 2 units up translation 5 units to the right and 3 units down translation 5 units to the left and 3 units up
Answers
Answer:
a
Step-by-step explanation:
The transformation from Figure 1 to Figure 2 is:
The transformation of 5 units to the right and 3 units down.
Option C is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
A B C D E has points (-3, 5), (-2, 5), (-1, 4), (-2, 3), and (-5, 3).
A' B' C' D' E' has points (2, 2), (3, 2), (4, 1), (3, 0), and (0, 0).
Now,
A = (-3 + 5, 5 - 3) to A' = (2, 2)
B = (-2 + 5, 5 - 3) to B' = (3, 2)
C = (-1 + 5, 4 - 3) to C' = (4, 1)
D = (-2 + 5, 3 - 3) to A' = (3, 0)
E = (-5 + 5, 3 - 3) to E' = (0, 0)
We see that,
There is a translation of 5 units to the right and 3 units to the down.
Thus,
The transformation of 5 units to the right and 3 units down.
Learn more about translation here:
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6. How many planes contain the given line and point?
a. DB and point A
b. BD and point E
C. AC and point D
d. EB and point C
Answers
Answer:
B. BD and point E
Step-by-step explanation:
BD and point E is the only choice with both of them lying on the plane, the others lie on other planes
PROBLEM SOLVING A boat is traveling parallel to the shore along RT. When the
boat is at point R, the captain measures the angle to the lighthouse as 35º After the
boat has traveled 2.1 miles, the captain measures the angle to the lighthouse as 70°
Answers
The exterior angle theorem states that the sum of two opposite interior angles is equal to the measure of the exterior angle.
The distance SL= 5.77 miles between the boat and the lighthouse after travelling 2.1 miles
According to the conditions given in the problem the exterior angle is 70 degrees and one of the opposite interior angle is 35 degrees.
m∠ L + m∠R= 70°
m∠ L + 35° = 70°
m∠ L = 70°-35°
m∠ L = 35°
If one interior angle is 35 degrees the other must also be 35 degrees to make a total of 70 degrees.
The sum of all angles of the triangle is always equal to 180 degrees.
So the third angle of the triangle will be
180°= 35°+35°+m ∠S
m∠S= 110°
From the triangle
Angle theta= m∠S= 110°
Fy= SL= height
Fx= RS = base
F= RL= hypotenuse
The line SL has to be found out.
Let the Fx= 2.1 miles
Then
Fx= Fcos ∅
But Cos ∅ = Cos 110°= -0.342
2.1= F (-0.342)
F= - 6.140 = hypotenuse
Now the vertical component
Fy= Fsine theta
Fy= - 6.140 sine 110°
Fy= - 6.14×0.94
Fy= -5.77 miles
The negative sign indicates that it is in the opposite direction.
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equation of the line that passes through the points (7, 6) and (-2, -3)?
Answers
Answer:
y=x-1
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (7, 6) and (-2, -3)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negativeThe most common (and usually, the easiest way) would be slope-intercept form, so let's write it that way
First, we'll need to find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have two points, which is needed, but let's label their values in order to avoid any confusion:
[tex]x_1= 7\\y_1=6\\x_2=-2\\y_2=-3[/tex]
Now substitute these values into the formula to find the slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-3-6}{-2-7}[/tex]
Subtract the numbers
m=[tex]\frac{-9}{-9}[/tex]
Divide
m=1
The slope of the line is 1
So far, we can write the equation of the line as this:
y=1x+b, or y=x+b
We'll need to find b
As the equation passes through both (7,6) and (-2, -3), we can use either one of them to solve for b
Taking (7, 6) for instance, substitute 7 as x and 6 as y:
6=1(7)+b
Multiply
6=7+b
Subtract 7 from both sides
-1=b
Now substitute -1 as b:
y=x-1
Hope this helps!
Work out the nth term of the following sequence:
7, 16, 31, 52, 79
its a quadratic sequence and i worked out the second difference (6) so know its 3n² but i don't know the rest
Answers
Answer:
Step-by-step explanation:
Since it is given that it is quadratic it is of the form f(n)=an^2 + bn+c.
Since we know a few terms we can plug in to get some equations:
f(1)= a +b+c = 7
f(2)=4a+2b+c = 16
f(3)=9a+3b+c = 31
Now you've got yourself a system of three equations which I trust you can solve.
I will say that I'm not sure that this is the most efficient solution(check out the link below which might have a better solve).
Here are some nice explanations with the "real" math notation for a slightly different but related problem:
https://math.stackexchange.com/questions/2345256/how-to-find-the-nth-term-of-quadratic-sequences
Good luck!
15 points and brainliest if right!!
Answers
Answer:
y + 5x = -7
Step-by-step explanation:
Hello there?
y + 3 = -5(x + 2)
LHS
Open the brackets
= -5x - 10
RHS remains
Combine the two:
y + 3 = -5 - 10
Collecting the like terms and taking the value of x to the LHS
=> y + 5x = - 7
I hope this helps. Have a nice studies
Which function has a greater rate of change?
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[tex]\huge\bold{\purple{\bold{⚡EuroNow⚡}}} [/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{Its easy}[/tex]
The function for EuroNow has a greater rate of change
graph using the slop and y intercept
Answers
Answer:
the slop is -1/2 and they y intercept 2
When determining domain it is important to work from
Answers
Answer:
use graphs
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
A point $P$ is randomly selected from the square region with vertices at $(\pm 2, \pm 2)$. What is the probability that $P$ is within one unit of the origin
Answers
If P = (X, Y) is a point in the given square, then X and Y are i.i.d random variables each with distribution
[tex]\displaystyle P(X = x) = \begin{cases}\dfrac14 & \text{if } -2 \le x \le 2 \\ 0 & \text{otherwise}\end{cases}[/tex]
and so the joint density of X and Y is
[tex]\displaystyle P(X = x, Y = y) = \begin{cases}\dfrac1{16} & \text{if }-2 \le x \le 2 \text{ and } -2 \le y \le 2 \\ 0 &\text{otherwise}\end{cases}[/tex]
We want to find P(X² + Y² ≤ 1). Points that satisfy this inequality lie in the set
R = {(x, y) : -1 ≤ x ≤ 1 and -√(1 - x²) ≤ y ≤ √(1 - x²)}
but we can more easily describe the region in polar coordinates by setting
x = r cos(t) and y = r sin(t)
so that the set R is identical to
R' = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}
Integrate the joint density over R' :
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \iint_R \frac1{16} \, dx \, dy[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \iint_{R'} \frac r{16} \, dr \, dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \int_0^{2\pi} \int_0^1 \frac r{16} \, dr \, dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \int_0^{2\pi} \frac{1^2 - 0^2}{32} \, dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \frac1{32} \int_0^{2\pi} dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \frac{2\pi-0}{32}[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \boxed{\frac{\pi}{16}}[/tex]
What is the value of the x variable in the solution to the following system of equations?
2x - 3y = 3
5x - 4y = 4
Answers
Answer:
x = 0
Step-by-step explanation:
Solve 2x - 3y = 3 for x:
[tex]2x - 3y = 3[/tex] [tex]2x - 3y + 3y = 3+ 3y[/tex] (add 3y to both sides)[tex]2x = 3y + 3[/tex] [tex]\frac{2x}{2} = \frac{3y+3}{2}[/tex] (divide both sides by 2)[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]Substitute 3/2(y) + 3/2 for x in 5x - 4y = 4
[tex]5x - 4y = 4[/tex] [tex]5(\frac{3}{2}y + \frac{3}{2}) - 4y = 4[/tex] [tex]\frac{7}{2}y + \frac{15}{2} = 4[/tex] (simplified both sides of equation)[tex]\frac{7}{2}y + \frac{15}{2} - \frac{15}{2} = 4 - \frac{15}{2}[/tex] (subtract 15/2 from both sides)[tex]\frac{7}{2}y = -\frac{7}{2}[/tex] [tex]\frac{7}{2}y * \frac{2}{7} = \frac{-7}{2} * \frac{2}{7}[/tex] (multiply both sides by 2/7)[tex]y = -1[/tex]Substitute -1 for y in x = 3/2(y) + 3/2
[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex] [tex]x = \frac{3}{2}(-1) + \frac{3}{2}[/tex] [tex]x = -\frac{3}{2}+ \frac{3}{2}[/tex] (simplified both sides of equation)[tex]x = 0[/tex]Therefore, the value of the x-variable is 0.
if x and y vary inversely and x=2.5 when y =100 find x when y=25
Answers
Answer:
x is 10.
..............
Perpendicular to y=-2x+1, but passes through (-4,4)
Answers
15. Describe and correct the error in finding the intercepts of the graph of the equation.
Х
6x + 9y
= 18
6x + 9(0) = 18
6x = 18
6x + Oy 18
6(0) + 9y = 18
9y =
= 18
X = 3
y = 2
The x-intercept is at (0,3), and the y-intercept is at (2, 0).
Answers
Answer:
Wrong order!
Step-by-step explanation:
There's a reason why coordinates are called an "ordered pair", and for every point (a, b) a is the x coordinate and b is the y coordinate. The calculations are correct, the way reporting them are not: the point should be (3.0) and (0,2) - in fact, all points on the x axis are of the form (p, 0) and all points on the y axis of the form (0,q)
1. Mitch Hart's gross pay for this week is $425.78. He is single and claims 2 6 points
allowances. Using the percentage method of withholding, what amount
will Mitch's employer withhold from his pay for federal income tax?
Percentage Method of Withholding - Single Person
Each weekly allowance is $63.46.
Weekly Taxable The amount of income tax to
Wage
withhold is
Over But not
over
$51.00 $195.00 S0.00 plus (10% of the excess
over $51.00)
195.00 645.00 $14.40 plus (15% of the excess
over $195.00)
645.00 1482.00 $81.90 plus (25% of the excess
over $645.00)
Answers
Using the percentage method, the amount that Mitch's employer is going to withhold is $29.979
The total wage payment usually received by Mitch monthly is = $425.78Each weekly allowance is $63.46, It is noted that Mitch claims two allowances = $63.46 × 2= $126.92Now, the amount subject to withholding from his total wage payment is;
= $(425.78 - 126.92)= $298.86Provided that the weekly taxable wage is more than $195 but not up to $645; Then, by using the percentage method, the Federal income tax can be computed as:
= 15% of $(298.86 - 195) + $14.40= 15% of $103.86 + $14.40= $15.579 + $14.40= $29.979Therefore, we can conclude that the amount that Mitch's employer is going to withhold is $29.979
Learn more about taxable income here:
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what is the answer for the question A=B+C
Answers
Answer:
8=4+4
Step-by-step explanation:
Please help asap! I will give brainliest for correct answer!
Answers
Answer:
0.01miles/day
Step-by-step explanation:
1: Convert 9cm to miles
[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]
2: Convert 5.5 minutes to days
[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]
3. Set miles over days
[tex]\frac{0.000055935miles}{0.003819444days}[/tex]
4: Divide to get the answer
0.014644 miles/day
5: Round to get the final answer
0.01 miles/day
Select two national treasures saved by Dolley Madison.
Gilbert Stuart's portrait of George Washington
A bust of Thomas Jefferson
The Declaration of Independence
The U.S. Constitution
Answers
Answer:
Gilbert Stuart's portrait of George Washington The U.S. Constitution
Step-by-step explanation:
Answer: Gilbert Stuart's portrait of George Washington
The Declaration of Independence
Step-by-step explanation:
1 7/8 divided by 2 2/5 if give good response = brainlist
Answers
Answer:
75/96 or in its simplest form, 25/32
Step-by-step explanation:
1. Convert both fractions into improper fractions
1 7/8 becomes 15/8 (1 × 8 = 8, 8 + 7 = 15)2 2/5 becomes 12/5 (2 × 5 = 10, 10 + 2 = 12)2. Use KFC
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×15/8 ÷ 12/5 = 15/8 × 5/12
15 × 5 = 758 × 12 = 9675/96 = 25/32 (divide the numerator and denomiator by 3)Hope this help!
What have you learned about geometric relationships?
PLEASE HELP 15 POINTS
Answers
Answer:
that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.
Step-by-step explanation:
i took this i guess and it was gud
HELP PLEASE I CANT FIGURE THIS OUT
Answers
Answer:
the slope is 1/4. the equation would be y=1/4x-7 I think
Step-by-step explanation:
A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. The height of the triangle is 3 inches.
What is the area of the composite figure?
Answers
Answer:
Step-by-step explanation:
Area of the semicircle = pi * r^2 / 2
d = 8
r = d/ 2
r = 8/2 = 4 inches
Area = pi * 4^2 / 2
Area = 3.14 * 8
Area = 25.12 square inches
Area of the triangle
Area = 1/2 * b * h
b = 8
h = 3
Area = 1/2 * 8 * 3
Area = 12 square inches
Total area = 25.12 + 12
Total area = 37.12 square inches
Find the mean of the boys
Answers
Answer:
14 is the mean of boys
Step-by-step explanation:
The angles featured below are ______ angles
Answers
Answer:
its normall
Step-by-step explanation:
- The equilateral triangle and the rectangle have equal perimeters, measured in feet.
a. Find the value of x.
Answers
Answer:
x=
Step-by-step explanation:
Answer:
Do you have a picture that goes with the question that you can post?
Step-by-step explanation:
Write the equation of the line that passes through the points(-6,8)and(0,-3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line..
Answers
Remember, when you are calculating the slope from two given points, you are finding the change in y over the change in x.
P1 = ( x1, y1 )
P2 = ( x2, y2 )
m = Δy / Δx ---> m = (y2 - y1) / (x2 - x1)
Now let's assign the given points:
(-8, -6) --> x1 = - 8 & y1 = -6
(-4, 2) --> x2 = -4 & y2 = 2
Now, let's plug these values into the slope formula:
m = (y2 - y1) / (x2 - x1)
= (2 - (-6)) / ((-4) - (-8))
Let's simplify:
(2 - (-6)) / ((-4) - (-8))
= (8) / (4)
= 2
Therefore, the slope, or m, is 2.
Answer:
y-8= -11/6 (x+6)
Step-by-step explanation:
Find the slope ... ...
Answers
Answer:
-2
Step-by-step explanation:
rise over run = 4/-2 = -2
If the length of each side of a cuboid decreases by 20%, find the percentage decrease in its volume.
Solution : (Identify the ratio of the length of one edge of the original cuboid and the length of one edge of the new cuboid)
Answers
Answer:
Step-by-step explanation:
(1+25 /100) (1-20/100) (1-50/100) <1
5/4 x 4/5 x 1/2 <1
Decrease in volume (in percent)
(1+25 /100) (1-20/100) (1-50/100) x 100
=48.8%
If two fair sided dice are rolled,how many total possible outcomes are in the sample space?
Answers
Answer:
36
Step-by-step explanation:
There are 6 possible outcomes on a single fair dice and there are two dice: 6 × 6 = 36. Hope this helps!
Answer: 36
Explanation:
There are 6 sides for either die, which leads to 6*6 = 36 outcomes with two dice. Think of a table with 6 rows and 6 columns. Each of the 36 inner cells represents a different dice sum.
How far is it around the perimeter of crater lake?
