The set of points (2, 3), (9, 3), (9, –2), and (2, –2) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
A parallelogram
B square
C rectangle
D trapezoid
Answers
Answer:
C rectangle
Step-by-step explanation:
All the coordinates of the setpoint are (x,y) so, you need to draw the axis and you'll found a rectangle (attached)
It is not a square because its side and height are not equal.
It is not a parallelogram because there are no diagonals.
It is not a trapezoid because it has parallels sides.
It's a rectangle because it has two pairs or parallels, one longer than the other.
Related Questions
Estimate how many pennies would you have to stack to reach from the floor to an average 8-ft ceiling.
Answers
Then a stack 8 ft high will require
.. (96 in)/(0.0598 in) ≈ 1605 . . . pennies
_____
Perhaps a few more if they are worn.
To reach an 8-foot ceiling, you would need to stack approximately 1600 pennies. This is calculated by dividing the ceiling height in inches (96 inches) by the thickness of a penny, which is around 0.06 inches, and rounding to the nearest whole number.
To solve this problem, we need to understand that a penny is approximately 0.0598 inches thick. Since there are 12 inches in a foot, an 8-foot ceiling would be 96 inches tall. Therefore, to stack pennies from the floor to an 8-foot ceiling, you would divide 96 (the total inches of the ceiling height) by 0.0598 (the thickness of one penny).
Let's round 0.0598 inches to 0.06 inches for ease of computation. When we divide 96 by 0.06, we get approximately 1600 pennies. So, it would take roughly 1600 pennies to stack from the floor to an 8-foot ceiling.
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a tank can be filled using pipes A,B or both. It takes pipe A, running alone 18 hours to feel the tank. It takes both pipes running together 9.9 hours to fill the tank. how long does it take pipe B, running alone, to fill the tank?
Answers
To solve this problem, you can use the principle of addition of rates since the work done (filling the tank) would be equal when the pipes are working together or separately. Therefore, adding the rate of pipe A and B should equal to the rate of them working together.
Explanation:To solve this problem, we'll use the principle that work done is equal to rate multiplied by time. In this case, the 'work' is filling the tank, and the 'rate' is how quickly each pipe can fill it.
Pipe A, we know, takes 18 hours to fill the tank. Therefore, its rate of work is 1/18 tanks per hour. For both pipes working together, it takes 9.9 hours, so their combined rate is 1/9.9 tanks per hour.
Assuming that the pipes work independently, we can add their rates together to get the combined rate. Let the rate of pipe B be 1/b, then:
(1/18) + (1/b) = 1/9.9
Solving this equation for b, which is the time taken by pipe B alone to fill the tank will give you the answer.
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Find the rule, solve for n
Answers
note, that the difference between 8 and 10 is 2, between 9 and 12 is 3, between 11 and 16 is 5. It is possible when f(x) is linear function, 2x-6, therefore f(14)=2*14-6=22
Answer: 22.
how ling it will take for an investment of 1950to accumulate to 2129.55at 6.5%pa simple interest
Answers
Which of the binomials below is a factor of this trinomial?
3x2 + 18x + 24
A. x + 4
B. x - 4
C. x - 3
D. x + 3
Answers
Selection A is appropriate.
Answer:
A.X+4
Step-by-step explanation:
3x2 + 18x + 24
A. x + 4
B. x - 4
C. x - 3
D. x + 3
Apex Answers
IF YOU ARE UNSURE PLEASE DO NOT ANSWER!!! What is the volume of the prism below?
Answers
0.5x7x14=196
hope its right;)
If 60 - y <20, then y could be?
Answers
Lucy rode her bike around the block 4 times for a total of 1 mile yesterday. Today she wants to ride her bike 3/4 of a mile. how many times will she need to ride her bike around the block
Answers
1 time = 1/4 of a mile
She wants to ride 3/4 of a mile
3/4 is 3 times 1/4
She has to ride her bike 3 times around the track
3 times <<<<<===== answer
Final answer:
Lucy will need to ride around the block 3 times today to cover 3/4 of a mile, as each lap around the block is 0.25 miles long.
Explanation:
Lucy rode her bike around the block and covered a total distance of 1 mile by doing so 4 times. Each lap around the block is therefore 0.25 miles long (1 mile ÷ 4 laps = 0.25 miles per lap). To cover 3/4 of a mile, Lucy needs to complete three laps (3/4 of a mile ÷ 0.25 miles per lap = 3 laps). This is because 3/4 divided by 1/4 (which is the distance of one lap) equals 3. Hence, Lucy will need to ride around the block 3 times today to cover 3/4 of a mile.
Noelle stands at the edge of a cliff and drops a rock. The height of the rock, in meters, is given by the function f(x)=−4.9x2+17 , where x is the number of seconds after Noelle releases her rock.
Cesar, who is standing nearby on the ground, throws a rock straight up in the air. The height of Cesar’s rock, in meters, is given by the function g(x)=−4.9x2+13x , where x is the number of seconds after he releases his rock.
There is a moment when the rocks are at the same height.
What is this height?
Answers
We have then:
f (x) = g (x)
-4.9x2 + 17 = -4.9x2 + 13x
Clearing x we have:
17 = 13x
x = 17/13
x = 1.31 s
Then, to find the height, with respect to the floor we have:
g (1.31) = - 4.9 * (1.31) ^ 2 + 13 * (1.31)
g (1.31) = 8.62
Answer:
The height with respect to the ground is:
8.62 m
Answer: 8.62 meters
Step-by-step explanation:
Given: The height of the rock, in meters, is given by the function [tex]f(x)=-4.9x^2+17[/tex] , where x is the number of seconds after Noelle releases her rock.
The height of Cesar’s rock, in meters, is given by the function [tex]g(x)=-4.9x^2+13x[/tex] , where x is the number of seconds after he releases his rock.
The moment when the rocks are at the same height then f(x)= g(x)
[tex]\Rightarrow-4.9x^2+17=-4.9x^2+13x\\\\\text{Add }-4.9x^2\text{ ion both sides, we get}\\\\\Rightarrow\ 17=13x\\\\\Rightarrow\ x=\frac{17}{13}\\\\\Rightarrow\ x=1.3076[/tex]
To calculate height put x in first equation, we get
[tex]-4.9(1.3076)^2+17=8.62189\approx8.62[/tex]
Hence, the height = 8.62 meters
what is the area in square centimeters of the trapezoid 8.6cm,6.4 cm,and 12.9cm
Answers
.. A = (1/2)(b1 +b2)*h
.. = (1/2)(8.6 cm +12.9 cm)*(6.4 cm) . . . . . fill in the given numbers
.. = 68.8 cm^2 . . . . . . . . . . . . . . . . . . . . . . .do the arithmetic
For the geometric sequence with a1 = 2 And r = 2, find a5
Answers
a2 = a1 * r = 4
a3 = a2 * r = 8
a4 = a3 * r = 16
a5 = a4 * r = 32
Answer: a5 = 32
(-3ab+7a-2) - (-9ab-4)
Answers
(-3ab+7a-2) - (-9ab-4)
Expand the expression using plus/minus rule.
-(-a)=a and -(a)=-a
=-3ab+7a-2 + 9ab +4
Add like terms
=6ab+7a+2
Answer: 6ab + 7a + 2
According to the rule of 72, if Arielle invests $100, $200, and $2000 into three separate accounts with the same interest rate, which amount will double fastest?
Answers
If the accounts are all deposited on the same day with the same interest rate and same compounding period, they all double at the same time, whether using the rule of 72 or the actual time.
Answer:
All of them will double at the same time.
Step-by-step explanation:
The rule of 72 wa created to have an estimate of how long will an account that pays interests will take to double its value, in this case, as they all have the same interest rate, and the rule of 72 depends only on the interests that the account pays, there will be no difference between the doubling time of the accounts since eventhough they all have different amounts of money, having the same interest rate, will make them grow at the same rate.
Given: mc012-1.jpg. Find the length of mc012-2.jpg. The diagram is not drawn to scale. mc012-3.jpg A. 11 B. 9 C. 12 D. 18
Answers
The length of midsegment DE is going to be 38.
The correct answer is option C.
For a better understanding let us name the triangle as ABC and DE is the midpoint on side AB and Ac respectively.
We need to find the value of DE.
We are given that AD = 45 DB = 45 , AE = 55 EC = 55 DE = 6x + 2 and BC = 2x + 64
We need to find the value of midsegment which means we need to find the value of DE.
In order to find the value of DE we would first need to find the value of x.
So , for finding the value of x we would first use the concept of similarity of triangles.
In triangle ADE and triangle ABC
angleA = angleA ( common)
angleD = angleB ( as DE || BC, so the angles formed by parallel lines are going to be equal)
By AA similarity we can say that triangle ADE similar to triangle ABC.
So , now after proving that both of the triangles are similar we can say that all of the sides of the triangles are going to be equal.
AD/ AB = DE/BC = AE/AC
AD/AB = DE / BC
Substituting the required values in expression above.
45/ AB = 6x + 2/ 2x + 64
45/ 90 = 6x + 2 / 2x +64 (AB = AD + DB = 45 + 45 = 90)
Cross-multiplying :
90x + 2880 = 540x + 180
-450x = -2700
x = 6
So , the value of x is going to be 6.
As we have found the value of x now we can easily find the value of DE by substituing the value of x in expression :
DE = 6x + 2
DE= 6(6) + 2
DE = 36 + 2
DE = 38
So , the length of DE is going to be 38.
Therefore , from the given options the correct one is C.
The question probable may be:
9. Find the length of the midsegment The diagram is not to scale:
A. 18
B. 15.5
C. 38
D. 76
A building across the street casts a shadow that is 24 feet long your friend is 6 feet tall and casts a shadow that is 4 feet long what is the height of the building
Answers
6/4=b/24
1.5=b/24
24(1.5)=b
36=b
Building is 36 ft tall
Answer:
36 feet
Step-by-step explanation:
Let x be the height of the building,
Given,
Length of the building's shadow = 24 ft,
Height of the person = 6 feet,
Length of person's shadow = 4 feet.
Since, at the same time,
[tex]\frac{\text{Height of the building}}{\text{Length of building's shadow}}=\frac{\text{Height of the person}}{\text{Length of person's shadow}}[/tex]
[tex]\frac{x}{24}=\frac{6}{4}[/tex]
[tex]4x=144[/tex] ( By cross multiplication )
[tex]\implies x = 36[/tex]
Hence, the height of the building is 36 ft.
how many positive integers under 50 are multiples of neither 4 nor 6
Answers
50/4=12 positive integers are multiples of 4
50/6=8 positive integers are multiples of 6
50/12=4 positive integers are multiples of 12 (LCM of 4 and 6)
By the inclusion/exclusion principle, the number of multiples of either 4 or 6 is equal to 12+8-4=16.
Therefore, the complement is the number of positive integers that are multiples of neither 4 nor 6 = 50-16=34.
QUICKK EXPERTS/ACE/GENIUSES
( question #2 )
Answers
180 - 90 -18 = 72
Answer is D 72 degrees
Convert the angle 0(theta) =133pi/72 radians to degrees. can someone explain this to me step by step please?
Answers
now, if 180 degree is π radians, how many degrees is it on 133π/72?
[tex]\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\\\ d&\frac{133\pi }{72} \end{array}\implies \cfrac{180}{d}=\cfrac{\pi }{\frac{133\pi }{72}}\implies \cfrac{180}{d}=\cfrac{\frac{\pi }{1}}{\frac{133\pi }{72}} \\\\\\ \cfrac{180}{d}=\cfrac{\pi }{1}\cdot \cfrac{72}{133\pi }\implies \cfrac{180}{d}=\cfrac{72}{133}\implies \cfrac{180\cdot 133}{72}=d\\\\\\ 332.5^o=d[/tex]
The angle θ = 133π/72 radians is equivalent to 332.5° degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To convert radians to degrees, use the following formula:
Angle in degrees = angle in radians × 180°/π
Here's how to apply this formula to the given angle:
θ= 133π/72 radians
θ in degrees = (133π/72) × 180°/π
θ in degrees = (133/72) × 180
θ in degrees = 332.5°
Therefore, the angle θ = 133π/72 radians is equivalent to 332.5° degrees.
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A right rectangular Pyramid Sliced parallel to the base and shown what is the area of the resulting 2 dimensional cross-section
Answers
Answer:
25 cm hope whoever gets to see this has a great day :D
15 POINTS,ANSWER QUICKLY Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect.
Answers
Answer:
3 ways
Explanation:
We know that a parabola has a second degree equation), while a line has a first degree equation.
To get the points of intersection, we will need to solve both simultaneously.
Solving them, we can reach a maximum of two solutions, however, other scenarios are also possible.
Possible scenarios:
1- no intersection occurs as shown in the first attachment
2- one intersection occurs as shown in the second attachment
3- two intersections occur as shown in the third attachment
Based on the above, there are three ways where the line and parabola can intersect
Hope this helps :)
Answer:
0,1,2
Step-by-step explanation:
Help.................
Answers
7) points F(-8,4) H(-4,-4) and G(6,-2)
step 1--------> find the slope of a line FG
m=(y2-y1)/(x2-x1)---> (-2-4)/(6+8)=-6/14=-3/7
step 2
the altitude of triangle FGH is perpendicular with the line FG
therefore
m1*m2=-1 (If two straight lines are perpendicular they have their slopes reversed and changed sign)
m1=slope line FG
m2=slope altitude
m2=-1/(-3/7)=7/3
step 3
find the equation of the line that passes through the point H with slope m2
H(-4,-4) m2=7/3
y=mx+b---------- > -4=(7/3)*(-4)+b
b=(28/3)-4=(28-12)/3=16/3
y=(7/3)x+16/3--------> y=(7x+16)/3----------> 3y=7x+16
the answer is the option D (3y=7x+16)
8) eraser has the shape of a rectangular prism
Volume V=l*w*h
if l=3l and w=3w
then
V2=(3l)*(3w)*(h)=9(l*w*h)--------> V2=9V (the volume will be 9 times larger)
the answer is the option C the volume will be 9 times larger
9) The median of a trapezoid is the segment that joins the midpoints of the non-parallel sides
the non parallel sides are AD and BC
midpoint side AD---------------- > M (-4,0.5)
A(-7,2) D(-1,-1)
xm=(-7-1)/2=-4
ym=(-1+2)/2=0.5
midpoint side BC---------------- > N (3,4)
B(3,7) C(3,1)
xm=(3+3)/2=3
ym=(7+1)/2=4
the length of median MN is
M (-4,0.5) N (3,4)
d=√(3+4)²+(4-.5)²=√(49+12.25)=7.826--------> 7.83 units
the answer is the option B 7.83 units
10) hight of the kite=4+50*sin(38)=34.78 ft----->34.8 ft
the answer is the option B 34.8 ft
Which net matches the figure
Answers
Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points?
Answers
Given the points are A(3, 2) and B(6, 4).
If it is asking about the slope of the line AB, then we can use the slope formula as given by :-
[tex] Slope, \;m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
where (x₁, y₁) = A(3, 2) and (x₂, y₂) = B(6, 4)
[tex] m = \frac{4-2}{6-3} =\frac{2}{3} [/tex]
Hence, m = 2/3 would be slope of the line AB.
If it is asking about the y-intercept of the line AB, then we can use slope-intercept form as given by :-
y = mx + b
where m is the slope and b is the y-intercept.
we can plug the value of m = 2/3 and point A(3, 2) into the equation and solve for b.
[tex] 2=(\frac{2}{3} )(3) +b \\\\
2 = 2 + b \\\\
b = 0 [/tex]
Hence, b = 0 would be y-intercept of the line AB.
If it is asking for the equation of the line AB, then we can use slope-intercept form and put values of m = 2/3 and b = 0.
y = mx + b
[tex] y=\frac{2}{3} x+0 \\\\
y=\frac{2}{3} x \;\;
or\;\; 3y=2x [/tex]
Hence, [tex] y=\frac{2}{3} x \;\; or\;\; 3y=2x [/tex] would be equation of the line AB.
A 25 ft ladder is placed 7 feet from the wall. How high up the wall will the ladder reach?
A.18ft
B.20ft
C.22ft
D.24ft
Answers
When setting up the right triangle, the problem says the ladder is placed 7 feet away, which would be the bottom of the triangle, and would be your A or B value, the ladder is leaning and is a total of 25 feet, meaning 25 is your hypotenuse and is your c value.
Then you're at A^2 +7^2 = 25^2
Square all of the integers, giving you A^2 +49 =625, then subtract 49 from each side leaving you with A^2 = 576, square root each side (√A^2 = √576)
Which will leave you at A = 24.
The 24 feet high up the ladder will reach to the wall if the ladder height is 25 feet and is placed 7 feet from the wall.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Length of the ladder = 7 feet
The distance between the wall bottom end to ladder bottom end = 7 feet
As we can see in the diagram the ladder and wall making a right angle triangle ABC in which
AC = 25 feet
BC = 7 feet
Let's suppose the length of the wall is h feet
AB = h feet
From the Pythagoras theorem:
AC² = AB² + BC²
Put the values of AC and BC, we get
25² = h² + 7²
625 = h² + 49
625 - 49 = h² (subtract by 49 on both sides)
576 = h²
h = 24 feet (taking square root on both sides)
Thus, the 24 feet high up the ladder will reach to the wall.
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For questions 2-3 what is each number when written in scientific notation
2.)1,220,000,000
3.)0.0287
Answers
[tex]1.22 \times 10 ^{9} \\ 2.87 \times 10 ^{ - 2} [/tex]
Answer:
For scientific notation, we write one number to the left of the decimal point and the other numbers are written as a power of ten.
2.)1,220,000,000
[tex]1.22\times10^{9}[/tex]
3.)0.0287
We can write this in fraction form as:
[tex]\frac{287}{10000}[/tex]
So, when 10000 will go up that is in numerator it will hold a negative power.
So, in scientific notation it will be [tex]2.87\times10^{-2}[/tex]
Determine whether the statement below is always, sometimes, or never true:
a kite is a rhombus
Answers
Answer:
'Sometimes' is the correct option
Step-by-step explanation:
We are given the statement,
'A kite is a rhombus'.
We know that,
Rhombus - is a parallelogram whose all four sides are equal and opposite angles are equal.
Kite - is a quadrilateral having two equal length adjacent sides and the angles where the pair of adjacent sides meet are equal.
So, we get that,
Thus, the kite is a rhombus when the all the sides of a kite are equal.
Hence, 'A kite is sometimes a rhombus'.
Answer:
Actually, it's never true.
Step-by-step explanation:
A kite is a quadrilateral defined to have no pairs of parallel sides.
A rhombus is a quadrilateral that has two pairs.
PLEASE HELP ME!!!!!
A. f(4)=7
B. f(1)=0
C. f(-1)=2
D. f(-2)=0
Answers
Rename 1/4 and 5/8 using the least common denominator.
Answers
1 * 2 = 2
4 * 2 = 8
1/4 = 2/8
5/8 stays the same.
So, 1/4 = 2/8 and 5/8 = 5/8.
The required solution is 8.
It is required to find the least common denominator.
What is least common multiple?The smallest common multiple of two or more numbers and the common multiple of lowest degree of two or more polynomials.
Given:
Multiply 4 times 2 to get 8, then multiply 1 times 4 for the numerator of the first fraction .
1/4=1*2/4*2=4/8
5/8=5*1/8*1=5/8
The least common denominator of 1/4 and 5/8 is 8.
Therefore, the required solution is 8.
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Write three measurments using grams and three measurements using milligrams total 15.4 grams
Answers
Write the quadratic equation whose roots are 5 and -3, and whose leading coefficient is 1
Answers
2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.
3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:
(x-5)(x+3)=0
4. When you apply the distributive property, you obtain:
x²+3x-5x-15=0
x²-2x-15=0
5. Therefore, the answer is:
x²-2x-15=0