Answers
Answer:
Part a: A square and a rhombus both have sides of equal length.
Let's calculate the length of each side.
[tex]\overline{PL}: \sqrt{(0-5)^2+(3-3)^2}=\sqrt{25+0}=5\\\overline{LA}\sqrt{(5-2)^2+(3-(-1))^2}=\sqrt{3^2+4^2}=5\\\overline{AN}:\sqrt{(2-(-3))^2+(-1-(-1))^2}=\sqrt{25+0}=5\\\overline{NP}:\sqrt{(-3-0)^2+(-1-3)^2}=\sqrt{3^2+4^2}=5[/tex]
All sides measure 5. So it's at least a rhombus (think of a square as a rhombus with extra restrictions).
Part b: A square has extra restriction, more important all angles being 90° and diagonals having the same length. If you discussed about slopes it's easy to see that two sides are horizontal but the other two are NOT vertical. Which might be proof enough.
But the exercise looks about lengths on the plane, so let's measure diagonals.
[tex]\overline{PA}=\sqrt{(0-2)^2+(3-(-1))^2}= \sqrt{2^2+4^2}=\sqrt{20}\\\overline{LN}=\sqrt{(5-(-3))^2+(3-(-1))^2}= \sqrt{8^2+4^2}=\sqrt{80}[/tex]
The two diagonals have different lengths, so the figure cannot be a square.
Related Questions
Jasleen has 6 packs of 8 colored markers to put into party gift bags. She spilts the markers equally among 9 gift bags. What is the minimum amount of markers she can put in each bag?
Answers
Your answer is 252.
I hope this helps.
please help me with this....!!!!!!!!
Answers
Answers:
5x^2 + 2 = 4x has no real solutions3x^2 + 24x = -48 has exactly one real solution3(x+5)^2 = -2 has no real solutions4x^2 - 16x = 0 has two real solutions======================================================
Explanation:
We can use the discriminant formula to determine how many (and what type of) roots we have. The term "root" is another word for "solution" or "x intercept". It's the x value that makes y = 0.
Any quadratic is of the form ax^2 + bx + c = 0
The discriminant formula is
d = b^2 - 4ac
which is found underneath the square root in the quadratic formula.
Here are the three possible outcomes
d > 0: we get two different real number solutionsd = 0: we have exactly one real number solutiond < 0: there are no real number solutions (the two solutions are complex or imaginary numbers).With all that in mind, let's find the discriminant of the first equation on the very left.
First we need to get it into standard form ax^2+bx+c = 0
5x^2 + 2 = 4x
5x^2 - 4x + 2 = 0
We see that
a = 5b = -4c = 2Computing the discriminant gets us...
d = b^2 - 4ac
d = (-4)^2 - 4(5)(2)
d = 16 - 40
d = -24
The actual discriminant value itself doesn't matter. All we care about is whether its positive, zero, or negative.
In this case, we get a negative discriminant. So this equation goes to the "no real solutions" column.
-------------------------
Let's move onto the next quadratic
3x^2 + 24x = -48
3x^2 + 24x + 48 = 0
a = 3, b = 24, c = 48
d = b^2 - 4ac
d = 24^2 - 4(3)(48)
d = 0
The discriminant of zero means this equation goes into the "exactly one real solution" category.
-------------------------
For the next equation, we don't need to use the discriminant formula here.
Notice that the right hand side is negative, but the left side is never negative because 3 is positive and (x+5)^2 is never negative. There is no way to have 3(x+5)^2 be negative if we let x be a real number only.
The equation 3(x+5)^2 = -2 goes into "no real solutions" pile.
-------------------------
For the last equation, we have
a = 4, b = -16, c = 0
So,
d = b^2 - 4ac
d = (-16)^2 - 4(4)(0)
d = 256
The result is a positive number, so we have two different solutions.
The discriminant is a perfect square which means we not only have real number solutions, but those solutions are rational numbers. This only works when a,b,c are rational as well.
From a hot-air balloon, Daniel measures a 33^{\circ} ∘ angle of depression to a landmark that’s 1579 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
a pet store donated 50 pounds of food for adult dogs , puppies and cats to an animal shelter. 19 and 3/4 pounds was adult dog food and 19 7/8 was puppy food. how many pounds of cat food did the store donate?
Answers
Answer: 10 3/8
Step-by-step explanation:
= 50 - 19 3/4 - 19 7/8
= 10 3/8
Is 831 divisible by 3?? Yes or no
Answers
yes 831 is divisible by 3
One way I know this is because when adding all the digits in the number you get 12 which is divisible by 3
Also if you do divide 831 ÷ 3 it would equal 277
Answer:
yes or true
Step-by-step explanation:
xavier is working two summer jobs, making $14 per hour life guarding and $15 per hour tutoring. Xavier earn at least $170 this week. write an inequality that would represent the possible values for the number of hours life guarding l, and the number of hours tutoring t, that Xavier can work in a given week.
Answers
Answer: 14I + 15t ≤ 170
Step-by-step explanation:
Let I be the number of hours life guarding, and t be the number of hours tutoring(stated in the questions). At least is means this number is greater or equal to, which used the symbol ≤.
14I + 15t ≤ 170
Find the area of the figure. (Sides meet at right angles.)
4 in
4 in
5 in
5 in
8 in
B in
3 in
11 in
Answers
Answer:
I will help you figure it out. Multiply all the numbers together: And you'll get; 21,120 in.
Hope this helps! Rate Brainiest!
-Aslina
can someone help plz
Answers
Answer:
the second picture answer is F.56
Step-by-step explanation:
if you add 16 + 40=56
Fill the blanks:
Given: MOL~ REY
Answers
Answer:
1. <R
2. <E
3. <L
4. RE
5. YE
6. 5
PLEASE HELP
an artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. The rectangle is 12.0 feet wide and 7.0 feet long. how much string should the artist use? round your answer to the nearest tenth of a foot
feet of string:
Answers
Answer:
An artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle
Step-by-step explanation:
Here an artist is constructing a piece of art in the shape of rectangle having length 12 feet & width of 7 feet
Since the artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. Hence one string will tie in a diagonal way
Hence total length of string will be
Total length = Perimeter of rectangle + length of diagonal
Perimeter of rectangle = 2( length + width ) = 2 ( 12 + 7 ) = 2 x 19 = 38 feet
Length of diagonal given by Pythagoras theorem
[tex]\mathrm{Length = { \left( { a }^{ 2 } + { b }^{ 2 } \right) }^{ 0.5 } = { \left( { 12 }^{ 2 } + { 7 }^{ 2 } \right) }^{ 0.5 } = 13.89244\:\:feet}[/tex]
Hence
Total length = Perimeter of rectangle + length of diagonal
Total length = 38 feet + 13.89244 feet = 51.9 feet
Hence an artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle
A petting zoo owner is building an enclosure for his farm animals. He needs 353 feet of fencing. The supply store sells fencing in pieces 12 feet long. How many pieces of fencing will he use?
29
29
30
30
Answers
Answer:
The answer is 29
Step-by-step explanation:
353/12 =29.41. But you will have to round down to 29 since 29.41 is below 29.5. Thus, the answer is 29.
At top cruising speed, a shark can swim 6 miles in 1/12 hours. A whale can swim 8 miles in 1/6 hours. which animal can swim faster at top cruising speed? How much faster?
Answers
Answer: 225 tiles
Step-by-step explanation:
Side of tile = 20 cm = 0.2 m
Side of bathroom = 3 m
Area of tile = 0.04 m²
Area of bathroom = 9 m²
No. of tiles = Ar (bathroom) / Ar (tile)
= 9 / 0.04
= 9 x 25
= 225 tiles
This nonparametric test requires at least ordinal level data. Its purpose is to find out if there is any difference between two sets of related observations and it is used if the assumptions required for the paired t-test cannot be met. Which test is it?
a. ANOVA
b. Rank correlation
c. Kruskal-Wallis
d. None of the above
Answers
Answer: Rank correlation
Step-by-step explanation:
hope it helps
i am a but confused on this question i think the answer is 51 but i’m not sure?? can someone tell me if i’m correct or not. If not please explain! Luv y’all i will mark you brainliest
Answers
Answer:
The value of the expression for x=3 is 51
Step-by-step explanation:
Evaluating expressions
To evaluate a given expression, we simply substitute the value of the variables and complete the operations.
The expression to evaluate is:
P=3(2+5x)
We will evaluate for x=3:
P=3(2+5*3)
The product must be done first:
P=3(2+15)=3*17=51
The value of the expression for x=3 is 51
Select the correct answer.
Which function defines ?
A.
B.
C.
D.
Answers
Answer:
B
Step-by-step explanation:
(g - f)(x)
= g(x) - f(x)
= log(x - 3) + 6 - ([tex]\sqrt[3]{12x+1}[/tex] + 4)
= log(x - 3) + 6 - [tex]\sqrt[3]{12x+1}[/tex] - 4 ← collect like terms
= log(x - 3) - [tex]\sqrt[3]{12x+1}[/tex] + 2
Value of the given function[tex](g-f)x = log(x-3)-\sqrt[3]{12x+1} +2[/tex].
What is function?" Function is defined as the relation between the given variables is such that every input has exactly one output each."
According to the question,
Given functions are,
[tex]f(x) = \sqrt[3]{12x+1} +4\\\\g(x) = log(x-3) +6[/tex]
Substitute the value in the function (g -f)x we get,
[tex](g-f)x = g(x) -f(x)[/tex]
[tex]= log(x-3) + 6 -( \sqrt[3]{12x+1} +4)\\\\= log(x-3) + 6 -\sqrt[3]{12x+1} -4\\\\= log(x-3) -\sqrt[3]{12x+1} +2[/tex]
Hence, Option(B) is the correct answer.
Learn more about function here
https://brainly.com/question/12431044
#SPJ3
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answers
Answer:
The original price of the toaster is 2000
Step-by-step explanation:
Given: Toaster price = 2240
VAT = 12%
VAT amount = ?(I'll include this one)
Assume the original price be x.
Let the original price be x
Then, x + 12% of x = 2240
x+12/100x x = 2240
100x+12x/ 100= 2240
112x/100=2240
112x = 2240 x 100 ⇒ 224000
x = 224000/112
x = 2000.
So, the original price of toaster = Rs. 2000.
The VAT amount = 2240 - 2000 ⇒ Rs. 240.
The VAT amount is Rs. 240.
HELP HAVING BAD DAY A line passes through the points A(–1, 7) and B(1, 3). a Find the slope of the line.
Answers
Answer:
the slope is -2
Step-by-step explanation:
if you move the x by 2, you would see a decrease in the y by 4. 2/-4 = -2.
-1/2 multiplied by 1/5
Answers
Answer:
-1/10 or -0.1
Hope this helps!
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answers
Answer: 64.0
Step-by-step explanation:
Find the area for this square
Answers
Answer:
361
Step-by-step explanation:
Multiply length x width to find area. 19 x 19 = 361
Question 2 of 5
Which transformation was applied to ABCD to transform it to EFGH?
A. Rotation about the origin
ОО
B. Reflection over the yaxis
C. Translation
D. Reflection over the x-axis
Answers
Step-by-step explanation:
Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
i hope it can help. thanks
Answer: The answer is C
Step-by-step explanation:
5 in
5 in
4.3 in
14 in
5 in
Can you help me find out the surface area
Answers
Answer:
219.6
Step-by-step explanation:
i used omnicalculator
Use the diagram to answer the following questions
Answers
b. Lines BD and CD
c. No, because they intersect
d. Yes, they intersect at a 90 degree angle
Please tell me correct and
Answers
Answer:
[tex]\frac{1}{4}[/tex] or [tex]0.25[/tex] (they're the same)
Step-by-step explanation:
First Part:
[tex]4^{3} = 64[/tex] [tex]8^{2} = 64[/tex] [tex]2 = 2[/tex] Multiply them together: 64 × 64 × 2 = 8192Second Part:
[tex]2^{7} = 128[/tex] [tex]16^{2} = 256[/tex] Multiply them together: 128 × 256 = 32768Wrap it all up:
8192 ÷ 32768 = 0.25 = 1/4I hope this helps!
What is -3/8 times (-1/7)?
Answers
Somebody please help with these multi-step equation(s)
Answers
Answer:
h = -1
Step-by-step explanation:
-( 4+h) = 3h
Distribute the minus sign
-4 -h = 3h
Add 4 to each side
-4-h+h = 3h+h
-4 = 4h
Divide each side by 4
-4/4 = 4h/4
-1 = h
If a van traveled 240 miles in 4 hours, how far could the van travel in 5 hours?
Answers
Answer: i think 300
Step-by-step explanation: i divided 240 by 4 and got 60 then multiplied 60X5=300
Answer:
300 miles in five hours.
Step-by-step explanation:
speed = distance/time
distance = speed*time
240/4=60
d= 60*5
d=300 miles in five hours.
Word explanation:
You can use the formula, speed=distance/time to find the speed which is 60 mph. Now use the formula for distance which is distance= speed*time. The answer would be 300 miles in five hours.
Determine the slope from the following order pairs:
(5, 7) (6,3)
Answers
Answer:
Step-by-step explanation:
(3-7)/(6-5)= -4/1= -4
PLS HELP ME
Aisha divides 15 meter of ribbon into 2 equal pieces.
What is the length of each piece of ribbon?
Enter your answer as a fraction in simplest form by filling in the boxes.
⊆⊇ m
⊂⊃
Answers
Answer:
7.5 meters
Step-by-step explanation:
14/2=7 16/2=8 so you go halfway for 15
Divide the total length by 2
Length of ribbon=15m
Half:-
15/27.5mWhat is the name of this polygon?
rectangle
square
trapezoid
rhombus
Answers
Answer:
trapezoid
Step-by-step explanation:
since the figure has only 1 pair of parallel sides then it is a trapezoid
Answer:
rhombus
Step-by-step explanation: