4. A rectangle is a four-sided flat shape where every interior angle is a right angle.
Therefore, opposite sides are parallel and consecutive sides are perpendicular.
Rae is drawing rectangle PQRS on a coordinate plane. The rectangle has
coordinates P(-1,2), Q(2,4), R(x, y), and S(3,-4).
Answer:
coordinates of R(x,y) is R(6,-2).
Step-by-step explanation:
A. we know that
The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)
using a graph tool
see the attached figure
Step 1
Find the slope of the line PS
the slope is equal to
m=(y2-y1)/(x2-x1)
mPS=(-4-2)/(3+1)=-6/4=-3/2
Step 2
Find the equation of the line QR
we know that
PS and QR are parallel lines
so
their slopes are the same
mQR=-3/2
with mQR and the point Q(2,4) find the equation of the line
y-y1=m*(x-x1)
y-4=(-3/2)*(x-2)
y=(-3/2)*x+3+4--------> y=7-(3/2)*x
Step 3
Find the equation of the line SR
we know that
SR and QR are perpendicular lines
so
the product of their slopes is equal to minus one
mSR*mQR=-1
mSR=2/3
with mSR and the point S(3,-4) find the equation of the line SR
y-y1=m*(x-x1)
y+4=(2/3)*(x-3)
y=(2/3)*x-2-4---------> y=-6+(2/3)*x
Step 4
Find the intersection of the lines QR and SR
we know that
the intersection of the lines QR and SR is the point R
y=7-(3/2)*x------> equation 1
y=-6+(2/3)*x------> equation 2
equate equation 1 and equation 2
7-(3/2)*x=-6+(2/3)*x
7+6=(2/3)*x+(3/2)*x
13=(2/3)*x+(3/2)*x
Multiply by 6 both sides
6*13=4*x+9*x
13*x=6*13
x=6
find the value of y
y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4
y=-2
therefore, the coordinates of point R are (6,-2)
Somebody plz answer just number 15 and 13
Thank you!!
Answer:
13. 60
15. 200
Step-by-step explanation:
These are the answers because:
1) Since they are asking us to round to the tens place or the hundreds place we have to look at the ones digit and the tens digit.
2) For 13, the answer is 60 because the rounding digit is 5. Since the digit is 5, we have to round up the digit in the tens place. Therefore, it becomes 60.
3) For 15, the answer is 200 because the rounding digit is 3. Since the digit is 3, we have to keep the same number. Therefore, the answer is 200.
Hope this helps!
Find a and d for the function f(x) = a cos(x) + d such that the graph off matches the figure.
a = amplitude
d = shift
Just from looking at the graph, I can tell that d = -3.5
The amplitude = 1/2
We want to find the coefficients of a given function such that the graph of the function matches the given graph.
We will get:
a = -0.5
d = -3
------------------------
We start with the general function:
f(x) = a*cos(x) + d.
Let's analyze the graph
In the figure, we can see that the graph passes through the point (0, -3.5)
This means that our function evaluated in x = 0 is equal to -3.5, then we can write:
f(0) = a*cos(0) + d = -3.5
a + d = -3.5
We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.
Then we have that:
a = - (1/2) = -0.5
Now that we know the value of a we can replace it in the other equation to get:
a + d = -3.5
-0.5 + d = -3.5
d = -3.5 + 0.5 = -3
Then the values of a and d are:
a = -0.5
d = -3
The function is:
f(x) = -0.5*cos(x) - 3
And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.
If you want to learn more, you can read:
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Find the slope of the line that passes through (-4.5, 7/2 ) and (3, 3.5).
-1/6
0
undefined
-6
Answer:
The slope of the line is 0 (there is no change in the y-axis)
Step-by-step explanation:
Here, we want to find the slope of the line that passes through the given points
We use a formula for this;
Mathematically;
m = y2-y1/x2-x1
Substituting the values;
m= (3.5-7/2)/3.5+4.5 = 0/8 = 0
The slope of the line is 0
I need the answer to this equation 2x + 8 = 2x -3 as soon as possible doing a tesst
-13/20 - 7/5=? Its fractions.
Answer: 41/20
Step-by-step explanation:
there is a possibility that this is incorrect bb srry
Please help with this math problem:)
Answer:
See SBS Explanation
Step-by-step explanation:
1. Produces a number that can be classified as an Irrational number.
A: Square root of 2.
2. Produces a number that an be classified as a Rational number.
A: Square root of 4.
3. Rational number that can be classified as an integer.
A: Negative 2/1 (-2/1)
4. Rational number that produces a repeating decimal.
A: 5/9 (Decimal is 0.5 repeating or 0.555....)
5. Rational number that produces a terminating decimal.
A: 1/4 (Decimal is 0.25)
2p-3 = 3p+2.
answer please!!!!
Answer:
- 5
Step-by-step explanation:
Step 1:
2p - 3 = 3p + 2
Step 2:
2p = 3p + 2 + 3
Step 2:
2p = 3p + 5
Step 3:
- p = 5
Answer:
p = - 5
Hope This Helps :)
Answer:
-5
Step-by-step explanation:
2p - 3 = 3p + 2
combine the like terms
-3 -2 = 3p -2p
-5 = p
27. If x = -6, which inequality is true?
A. -5 - 3x > 10
B. -3 - 5x < -14
C. 1 - 2x > 13
D. 2 - X <-3
Answer:
A. -5 - 3x > 10
Step-by-step explanation:
x = -6
A. -5 - 3(-6) > 10
-5 + 18 = 13 > 10
true
B. -3 - 5(-6) < -14
-3 + 30 = 27 < -14
false
C. 1 - 2(-6) > 13
1 + 12 = 13 > 13
false
D. 2 - (-6) <-3
2 + 6 = 8 < -3
false
Find the slope
x+3=0
can someone plz help me with this
Answer: Commutative Property of Multiplication/Addition
Step-by-step explanation:
The commutative property is simple
x + y = y + x
or for multiplication
x * y = y * x
on a number line, point D is located at 9 and point P is located at -11 what is the distance from d to p
Answer:
20
Step-by-step explanation:
The distance between two points on the number line is the absolute value of the difference of their coordinates.
coordinate of point D: 9
coordinate of point P: -11
Take the absolute value of their difference. It does not make a difference in which order you subtract the coordinates.
distance = |-11 - 9| = |-20| = 20
Answer: The distance is 20.
A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: = 12 + • , where is the additional charge per minute, and is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know and ? a. = C-12/a b. =(−12)− c. =−12 d. = −12
Answer:
-12
Step-by-step explanation:
i had got it right yay
Answer:
:)
Step-by-step explanation:
m=c-12/a
I had this on a test and I got it right
The end points of cd are given.find the coordinates of the midpoint M. C(-4,7) and D(0,-3)
Answer:
M=(-2,2)
Step-by-step explanation:
Xm= -4 + 0/2 --> -4/2
Ym= 7 + -3/2 --> 4/2
Which equation describes a relationship that is directly proportional?
Answer:
The equation for the proportional relationship is y = 2.8x. If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
Step-by-step explanation:
I hope this helps you :)
17. The volleyball club is raising money for a
new net and equipment. They need $842.36 to
purchase the swing set and have received a
$300.00 donation. The remaining amount will
be equally divided among 4 different
fundraisers throughout the summer. How
much money will each fundraiser need to raise
in order to purchase the new net and
equipment?
$2,169.44
$542.36
0 $135.59
O $210.59
The money will each fundraiser need to raise in order to purchase the new net and equipment is $135.59. Therefore, option C is the correct answer.
Given that, the volleyball club need $842.36 to purchase the swing set and have received a $300.00 donation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the money will each fundraiser need to raise in order to purchase the new net and equipment be x.
Now, the remaining amount = 842.36 - 300.00
= $542.36
The remaining amount will be equally divided among 4 different fundraisers = x = 542.36/4
=135.59
The money will each fundraiser need to raise in order to purchase the new net and equipment is $135.59. Therefore, option C is the correct answer.
To learn more about an equation visit:
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A group of adults were asked to name their favourite juice. The table gives information about their answers. Work out the angles that would be used to draw a pie chart.
FRUIT JUCE || ORANGE || APPLE || GRAPE || OTHER||
NUMBER || 40 || 27 || 15 || 8 ||
ANGLE || ? || ? || ? || ? ||
Answer:
ORANGE: 160
APPLE: 108°
GRAPE: 60
OTHER: 32
Step-by-step explanation:
THE SUM OF 40, 27, 15 AND 8 IS 90
90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES
TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!
Imagine she found 100 worms of the same length as she found on Tuesday. What would the total length of the 100 worms be? (write the numerical answer only.)
Step-by-step explanation:
you didn't give us the full question. what were the lengths of the worms found on Tuesday?
Y=2x-1 Y=x+4 Simultaneous equation
Answer:
(5, 9)
Step-by-step explanation:
Solve by Graphical Method.
I graphed the lines on a graph. The lines intercept at the point (5, 9).
(5, 9) is the solution to the system of equations.
x = 5
y = 9
Hope this helps.
how do you say 19,034,600 in word form?
Answer:
nineteen million thirty four thousand six hundred
I think this is right
Step-by-step explanation:
Answer:
Nineteen million thirty four thousand six hundred
Step-by-step explanation:
Find the distance FG between the points
F(0, – 7) and G (-6, -3). Round your answer to the
nearest tenth, if necessary.
FG
Answer:
7.2
Step-by-step explanation:
The distance of FG is 7.211
What is distance formula?Distance between two points (x1,y1) and (x2,y2) is given by:
PQ = √( x2 − x1 )² + ( y2 − y1 )². It is known as distance formula.
Given coordinates:
F(0, – 7) and G (-6, -3).
Using distance formula
= √(-6-0)² + (-3 +7)²
=√36+ 16
=√52
=7.211 units
Hence, the distance of FG is 7.211 units
Learn more about distance formula here:
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the product of two numbers is 12
Determine whether each identity is true or false.
Answer:
TrueTrueFalseFalseTrueFalseStep-by-step explanation:
3/4+(1/3÷1/6)-(-1/2)=? Please I need this quick!!!
Answer:
3 and 1/4
Step-by-step explanation:
What is the area of a rectangle
with a length of 5 cm and a width of
4 cm
Answer:
Area = 20 cm²
Step-by-step explanation:
Area = width * length
area = 5cm * 4cm
area = 20 cm²
Answer:
20 cm
5x4 =20
length times width
What number needs to be added to 5 and 3 so that the ratio of the first number to
the second becomes 3:2?
Jaiden is ordering 2.615, 2.65, 2.7, and 2.623 from least to greatest. Here are his steps: (1) Compare and order 2.7 and 2.65 because they have the fewest digits. (2) Compare each digit of the numbers 2.615 and 2.623. * The units digits are equal. * The tenths digits are equal. * 1 < 2 in the hundredths place so 2.615 < 2.623. (3) Combine the two lists into one: 2.7, 2.65, 2.615, 2.623. Which statement describes Jaiden’s error?
Hurry pleaseeee
Answer: D
Jaiden should have added zeroes to the ends of the shorter decimals to get 2.615 etc
Step-by-step explanation:
The numbers that have the same unit value but different digits in the decimal place can be ordered using place value.
The statement that describes Jaden's error is; Jaiden should have added
zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623,
then he should have compared them using place values.
Reasons:
The steps are;
(1) Comparing the digits to select the ones with the least amount of digits
(2) Comparing the digits in the place values of the numbers that equal number of digits
(3) Combining the list of the above comparison into one
Required:
To select the statement that describes Jaiden's error.
Solution:
The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.
The given numbers are;
2.615
2.65
2.7
2.623
The steps to order the numbers from least to greatest;
Add zeros to the shorter decimals such that each number have the same number of digits after the decimal point; 2.615, 2.650, 2.700 2.623Then
Select the number with the lowest ones; Which gives all the numbersThen
From the above list, select the number with the lowest tenth, and move them to the left of the list; Which gives the numbers, 2.615, 2.650, 2.623, 2.700Next
From the above list, select the number with the lowest hundredth, and move them to the left of the list, in increasing order of the hundredth; Which gives the numbers, 2.615, 2.623, 2.650, 2.700The numbers 2.615, 2.623,2.650, 2.700, are in the order from least to
greatest.
Therefore Jaiden's error is that Jaiden should have added zeros to each of
the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should
have compared them using place values.
Learn more here:
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The possible question options are;
The numbers are listed from greatest to listThe two numbers with the most digits should have been compared firstZeros should have been added to the numbers to get, 2.615, 2.065, 2.007, and 2.623. Then the numbers should be compared using place valueHe should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.What is 6/12 in simplist form?
Write a quadratic function in standard form with zeros 12 and -3
Answer:
x^2+10x-24
Step-by-step explanation:
hope this helps!!!Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B.
Answer:
The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;
1) A translation of 8 blocks to the right followed by 2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise
Step-by-step explanation:
Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.