Plot and connect the points A (3, -3), B (-3, -2), C (-5, 1), D (-5, 4), E (-4 ,6), F (-2, 6), G (3, 2), and find the length of EF.
Answers
Given:
The points are A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2).
To find:
The length of EF and plot each point on a coordinate plane and connect them.
Solution:
Plot the given point A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2) on coordinate plane and connect them as shown in the below figure.
From the below graph it is clear that the length of EF is 2 units. We can verify this solution by using the distance formula.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between E(-4 ,6) and F(-2, 6) is
[tex]D=\sqrt{(-2-(-4))^2+(6-6)^2}[/tex]
[tex]D=\sqrt{(-2+4)^2+(0)^2}[/tex]
[tex]D=\sqrt{(2)^2+0}[/tex]
[tex]D=2[/tex]
Therefore, the length of EF is 2 units.
Related Questions
Which of the following is a property of all squares?
A.
There is only 1 pair of parallel sides.
B.
All 4 sides are congruent.
C.
There are 4 acute angles.
D.
Consecutive angles are complementary.
Answers
Answer:D.All sides are congruent
The solution is: a) Opposite sides are parallel, the following is true for all parallelograms.
What is parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Here, we have
a) In a parallelogram, opposite sides are parallel (which is why it is called a Parallelogram).
b) Opposite angles are congruent (not ALL angles). The only parallelograms where all of the angles are congruent are Squares and Rectangles.
c) Consecutive angles are supplementary so their SUM must be 180°. Therefore if one angle is less than 90° (acute), the other angle must be greater than 90° so it is not possible that all angles are acute (∠ 90°).
d) The sides do not have to be equal. The only parallelogram whose sides have equal lengths are Squares.
Hence, The solution is: a) Opposite sides are parallel, the following is true for all parallelograms.
To learn more on parallelogram click:
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complete question:
What of the following is true for all parallelograms? Opposite sides are parallel. All four angles are congruent. All four angles are acute angles. All four sides are equal in length.
Could you guys please help me solve this basic math. PLS OMG ITS DUE :(
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PLZZZ HELPPPP MEEEEE PLS
Answers
Answer:
negative; -1/4
Step-by-step explanation:
Can you please help me
Answers
Answer:
Q1: equal
Q2: smaller
Q3:equal
Q4 smaller
Q5: bigger
Step-by-step explanation:
13 POINTS FOR THIS GUYS PlEASE HELP
Answers
Answer:
I'm pretty sure
dependent: total video games
independent: number of months
Decide whether 2 x + 8 and 2(× + 4) + 4 are equivalent expression. explain how you know.
Answers
Answer:
They are not equivalent
Step-by-step explanation:
2(x+4)+4
First you distribute the 2.
2x+8+4
Then combine like terms
2x+12
Therefore they are not equivalent
Help with number 1 please.
Answers
Answer:
Step-by-step explanation:
what is t- 40= 3 please help
Answers
Answer:
t = 43
Step-by-step explanation:
t - 40 = 3
t = 43
Add 40 to both sides.
The height of a can is 3 times its radius. If the radius of the can is 3 centimeters, what is the volume?
Answers
Answer:
170 [tex]cent.^{3}[/tex]
Step-by-step explanation:
If the height is 3 times the radius you can find that by: 3r
r = 3.
So: 3 x 3 = 9
The height is 9 centimeters
Volume of a cylinder (can):
[tex]V= 2\pi rh[/tex]
Plug in what we know
[tex]V = 2 \pi (3) (9)\\V = 54\pi \\V = 169.646\\[/tex]
Rounds to: 170
a recipe calls for 5/8 cup of sugar for every 5 teaspoons of vanilla. what is the unit rate in cups per teaspoon?
a) 3 1/8
b) 1/8
c) 8
d) 8/25
Answers
Answer:
b) 1/8
Step-by-step explanation:
5/8 ÷ 5 = 1/8
The unit rate in cups per teaspoon is 1/8 cup of sugar.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
5/8 cup of sugar=5 teaspoons of vanilla.
or, 5 teaspoons of vanilla = 5/8 cup of sugar
So, 1 teaspoon of vanilla = (5/8)/5 cup of sugar
(5/8)/5 = (5/8)*(1/5)
(5/8)/5 =1/8
So, 1 teaspoon of vanilla = 1/8 cup of sugar
Hence, the unit rate in cups per teaspoon is 1/8 cup of sugar.
To get more about unitary methods visit:
https://brainly.com/question/24587372
rearrange the equation so X is the independent variable.
[tex] - 4x - 6 = 5y + 9[/tex]
Answers
Answer:
[tex]x=-1.25y-3.75[/tex]
Step-by-step explanation:
try adding 6 to both sides
-4x=5y+15
try dividing both sides by -4
x=-1.25y-3.75
Matti has one more pencil than Chang-Lin. Renaldo had three times as many as Chang-Lin, and one more than Jorge. Jorge has 5 pencils, how many pencils does Matti Have?
Answers
Answer:Matti has 3pencils
Step-by-step explanation:
Given that Jorge has 5pencils
Renaldo has 1more than Jorge that means ,he has 5 +1=6pencils
But also
Renaldo =3Chang-Lin
6==3Chang-Lin
Chang-Lin = 6/3 =2
Since Chang-Lin has 2, Matti having 1more I than Chang-Lin will have 2+1=3pemcils
Write a linear equation in slope- intercept form given 2x +5y =35
Answers
Answer:
(0,−7)
Explanation:
To find the y-intercept of an equation, set x equal to 0 and solve: In the case of 2x−5y=35, let's replace all instances of x in the equation with 0 and solve for y: 2(0)−5y=35−5y=35−5y−5=35−5
y=−7
Thus, the y-intercept is at (x y)=
(0,−7).
Write the polynomial 4x+5x^3+17x^5-7 in descending order.
Answers
Answer:
5x+4x^17+3x^5-7
Step-by-step explanation:
help me this is hard
Answers
Answer:
I guess it's whole; because it first appears there.
Which table shows a probability distribution?
X 0 1 2 3
P −0.3 0.6 0.5 0.2
X 0 1 2 3
P 0.4 0.3 0.4 0.1
X 0 1 2 3
P 0.1 0.5 0.3 0.1
X 0 1 2 3
P 0.3 0.1 0.2 0.2
Answers
Considering that it has only positive probabilities, and the sum of the probabilities is of 1, the table that shows a probability distribution is given by:
X 0 1 2 3
P 0.1 0.5 0.3 0.1
When does a table represent a probability distribution?A table is formed by a set of points (x, P(x)), and represents a probability distribution if:
The sum of the probabilities is of 1.All probabilities are 0 or positive.In this problem:
In the first table, there is a negative probability, which is P(X = 0) = -0.3.In the second and the fourth tables, the sums are of 1.2 and 0.8, respectively.Hence, the table that represents a probability distribution is given as follows:
X 0 1 2 3
P 0.1 0.5 0.3 0.1
More can be learned about a probability distribution at https://brainly.com/question/24855677
Elena is trying to draw a triangle with side lengths of 4 inches and 3 inches what could be the length of the third side in order for Elena to be able to draw her triangle.
Answers
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
Please help with this
Answers
Answer:
What is your question?
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Please rate my answer and say thanks!
find the value of x plz help <3
Answers
PLZ HELP WITH MATH!!!
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Answer:
128 in.^2?
Step-by-step explanation:
a rectangle is also a parallelogram, so find the area of the rectangles.
if it is a 30-60-90 triangle, 8 inches is x, and to find the sides, it is either (x)sqrt(3), or in this case, 2x, so 16x8= 128?
Evaluate the expression (3 + m)^3 , when m=2
Answers
(3+2)^3
=5^3
=125
Answer:
the answerrrrrrrrrrr is 27+54m+36m^2+8m^3
slope of the line that passes through the points
Answers
Answer:
Step-by-step explanation:
Find the Roots of the following polynomial.
x3−5x2+6x = 0
Answers
Answer:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
STEP
1
:
Equation at the end of step 1
((x3) - 5x2) - 6x = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
x3 - 5x2 - 6x = x • (x2 - 5x - 6)
Answer:
x≈1.30027097
Step-by-step explanation:
That is the answer
Hope this helps :)
A tabletop in the shape of a trapezoid has an area of 5029 square cenimeters. Its longer base measures 123 cenimeters, and the shorter base is 65 cenimeters. What is the height?
Answers
Answer:
Length of height = 53.5 cm
Step-by-step explanation:
Given:
Area of trapezoid = 5,029 cm²
Length of longer base = 123 cm
Length of shorter base = 65 cm
Find:
Length of height
Computation:
Area of trapezoid = [(a+b)/2]h
5,029 = [(123 + 65)/2]h
5,029 = [(188)/2]h
5,029 = [94]h
Length of height = 53.5 cm
Solve the system of linear equations by elimination.
2x+5y=16
3x−5y=−1
Answers
Simplify ech answer into a fraction, Show all work please!
Answers
Answer:
the first one is -9/40. the second one is 109/20. the third one is -8/35.
Step-by-step explanation:
here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.
Leah asks people at a theater how old they are. She finds that 8 out of
75 people are under the age of 12. If there are 2,434 people at the theater, how many people can Leah expect to be under the age of 12 based on the experimental probability?
Answers
Answer:
9
Step-by-step explanation:
A traveler is walking on a moving walkway in a n airport. The traveler must walk back on the walkway to get a bag he forgot. The traveler's ground speed is 2 ft/s against the walkway and 8 ft/s with the walkway. What is the traveler's speed off the walkway? What is the speed of the moving walkway?
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Answer:
The traveler's speed off the walkway is 4 ft/sec
The speed of the moving walkway is 2 ft/sec
Step-by-step explanation:
Please help guys I don’t need nomore scammers
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help pls ! I’ll mark brainliest
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Answer:
[tex]y = x + 3[/tex]
Step-by-step explanation:
Y in math is usually referred as the output.
X is usually the input.
In other words,
y is 3 more greater than x.
In other words,
[tex]y = x + 3[/tex]