Answer:
It's a rectangle, but not a rhombus (or square).
Step-by-step explanation:
Let's see the vectors of each next vertex:
[tex]Q - P = (4, 5) - (-5, 2) = (9, 3)\\R - Q = (6, -1) - (4, 5) = (2, -6)\\S - R = (-3, -4) - (6, -1) = (-9, -3)\\P - S = (-5, 2) - (-3, -4) = (-2, 6)\\[/tex]
Firstly, we can notice that it's a parallelogram - because the Q-P side is parallel to the S - R side (if the x:y ratios are the same, the sides are parallel).
A rhombus needs the sides to be of the same length. But the length of a (x, y) vector is [tex]\sqrt{x^2 + y^2}[/tex] and [tex]\sqrt{9^2 + 3^2} > \sqrt{2^2 + (-6)^2}[/tex], we don't even have to compute it exactly. If it's not a rhombus, it's also not a square (every square is a rhombus).
The last thing left is to know if it's a rectangle - for it to be a rectangle, we need to check if the vectors are perpendicular.
We can compute the dot product of the vectors - perpendicular vectors always have a dot product equal to zero. The dot product of two vectors [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is equal to [tex]x_1x_2 + y_1y_2[/tex].
[tex](9, 3) \cdot (2, -6) = 9\cdot 2 + 3\cdot(-6) = 18 - 18 = 0[/tex]
So the sides are perpendicular, and as such - the figure is a rectangle.
23, 69, 207 7th term
Answer:
16767
Step-by-step explanation:
Each new term is found by multiplying the previous term by 3. Thus, 3 is the common ratio. The formula for this geometric series is therefore
a(n) = 23*3^(n - 1).
The 7th term is a(7) = 23*3^6 = 16767
I need some help with this question
Suppose a triangle with the vertices A(-7, -8), B (-4,6)
and C (-8,5) was rotated 270 degrees counterclockwise
about the origin. Label and list all the vertices.
A A' (-8, 7), B' (6,4), C' (5,8)
B A' (8,-7), B' (-6,-4), C'(-5, -8)
A' (7,8), B’ (4, -6), C' (8, –5)
D A' (-7,8), B' (-4,-6), C'(-8,-5)
please help
Answer:
b
Step-by-step explanation:
Determine the value of a so that the following system has no solution.
ax+5y=10
6x+2y=7
HURRY PLSSSS
Answer:
z
Step-by-step explanation:
A 7 kg ball is push with a force of 28. What s the acceleration?
giving 25 points + brainliest if its correct
pic is attached
no links or fake answers pls
Answer:
Step-by-step explanation:
1 : 2 = 3 : 6
6 parts vinegar
Social Studies is 90
Language Arts is 94
Social Studies : Language Arts
4.5 × 50 = 225 miles
PLEASE HELPPPP I WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
mn-2021=m+n find |m-n|
Answer: this makes no sense-
Step-by-step explanation:
complete the table of values for x + y=6
Answer:
x=3 + y=3 =6
Step-by-step explanation:
first you have to find out what can equal 6 and 3 plus 3 equals 6 so that's your answer
Answer:
See table below
Step-by-step explanation:
(0,6) (1,5) (2,4) (3,3) (4,2) (5,1) (6,0)
Pancho ordered a set of green and blue pencils. He
received 80 pencils, and 61% of them were blue.
About how many blue pencils did Pancho receive?
help plsss!!! i just need to know a,b,c or d
Answer:
THE ANSWER IS 8 OPTION B
MARK ME AS BRAINLIEST
Please help, having a lot of trouble with this
Answer:
d. -1
Step-by-step explanation:
the slope is the rise over the run from one point to another.
i hope this helps :)
Each line is 1 unit.
Use the dots A and B
A is located at (-3,3)
B is located at (3,-3)
Slope is the change in y over the change in x
Slope = (-3 -3) / (3 - -3)
Slope = -6/6
Slope = -1
The answer is D -1
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.084°C.
P(Z>-0.084)
Answer:
0.53347
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = -0.084 °C
μ is the population mean = 0 °C
σ is the population standard deviation = 1°C
Z score =x - μ/σ
= -0.084 - 0/1
= -0.084
Probability value from Z-Table:
P(x<-0.084) = 0.46653
P(x>-0.084) = 1 - P(x<-0.084) = 0.53347
The probability of obtaining a reading greater than -0.084°C = P(x > -0.084) =
is 0.53347
Is this right? Please help me
Find an angle Theta with 0° < 0 < 360° that has the same:
Sine as 50°: theta =
degrees
Cosine as 50°: theta =
degrees
Answer:
1) θ = 130°
2) θ = 310°
Step-by-step explanation:
We want to find a value of θ such that:
sin(θ) = sin(50°)
We know that sin(90°) = 1
We will have a symmetry around 90°.
Then if we define a constant k
sin(90° + k) = sin(90° - k)
we can define k such that:
90° - k = 50°
90° - 50° = k
40° = k
Then:
sin(90° + 40°) = sin(90° - 40°)
sin(130°) = sin(50°)
then θ = 130°
Now we want to find:
cos(θ) = cos(50°)
We know that cos(0°) = 1
Then we have symmetry around 0°
With the same reasoning than before, we can write:
cos( 0° + k) = cos(0° - k)
We can define:
0° + k = 50°
k = 50°
Then:
cos(50°) = cos(-50°)
But we want 0° < θ < 360°
Knowing that the peridisity of the trigonometric functions is of 360° then:
cos(50°) = cos(-50°) = cos( - 50° + 360°)
cos(50°) = cos(310°)
in this case θ = 310°
A swimmer swims 30 laps in 5 minutes. How many laps would they swim in 23 minutes?
Answer:
138 laps in 23 minutes
Step-by-step explanation:
30/5
x/23
5x=690
690/5=138
PLSSS HELP MEEEE OH NOOOOOOO
Find the sum of the first 47 terms of the following series, to the nearest integer.
12, 16. 20. ...
Answer:
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888
Step-by-step explanation:
The given series is;
12, 16, 20, ...,
Therefore, the first term of the series is, a = 12
The common difference of series is found as follows;
The difference between subsequent terms, 12 and 16 is 16 - 12 = 4
The difference between subsequent terms, 16, and 20 is 20 - 16 = 4
Therefore, the common difference, d = 4
The series is therefore an arithmetic projection, AP
The sum of the first 'n' terms of an AP, Sₙ, is given as follows;
[tex]S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ][/tex]
(47/2)*(2*12+(47-1)*4)
The sum of the first 47 terms is therefore given as follows;
[tex]S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888[/tex]
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888
1 question Plus brainliest help fast and I will add you too please please help
Answer:
its C
Step-by-step explanation:
Answer: C is the correct answer
Step-by-step explanation:
oooooooooooohhhhhhhhhhhh aaaaaaaaaaaaaaahhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
thats bustin bustin
Step-by-step explanation:
Write and solve an equation to find x.
Q (11x - 5)
P (6x + 5)
R x
Answer:
x = 10 degrees
Step-by-step explanation:
the sum of angles in triangle = 180 degrees
11x - 5 + 6x + 5 + x = 180
combine
18x = 180
divide
x = 10 degrees
Factor the following polynomial 5x^2 + x
Hi
5x²+x = x ( 5x +1)
Answer:
(5+1)
Step-by-step explanation:
the first second and third bases on a baseball field are square cavas bags that each have an area of 225 square inches. what is the length of each base
Answer:
length = 15 in
Step-by-step explanation:
length = √225 = 15 in
Consider the following system of functions. F(x)=7x^2+9x-8. G(x)=2x+6. Complete the table of values and find the solution(s) to the system.
Answer:
x=(-2,1)
x=(1,-2)
Step-by-step explanation:
Answer:
X= -2 1
X=1 -2
Step-by-step explanation:
Algebra Nation
(There’s no comma separating the answer but leave a space)
A piece of blue yarn is 7 7 8 yards long. A piece of pink yarn is 6 times as long as the blue yarn. How much longer is the pink yarn than the blue yarn?
Answer:
4668
Step-by-step explanation:
you would just multiply 778 by 6
778*6=4668
Calculate the mean, median, mode, and range for (1, 2, 5, 6, 1, 6, 7)
Answer:
Mean
4
Median
5
Mode
1, 6
Range
6
Step-by-step explanation:
Salute.
correct answer gets brainliest
Answer:
Its the first one
Two or more terms in a variable expression that have the same variable factors
Step-by-step explanation:
I need help with this . Please show workings.
1.A worker has painted ⅔ of a house. What percentage of the house has not been painted?
2. A manager salary of 600 is increased by 12½% .What is his new salary?
Answer:
1. 33.3333(repeating)%
2. $675
Step-by-step explanation:
2/3 = 0.6666(repeating)7
1 - 2/3 = 0.33333333333333333333333333333333333333333333333333333
2. 600 * 1.12½ (divide fractions to quickly convert them to decimals) = 675
help its due rn plzzz
Answer:
x = 2.65, -2.65
Step-by-step explanation:
x² = 7
[tex]x =[/tex] ± [tex]\sqrt{7}[/tex]
or x = 2.64575131.., -2.64575131...
PLEASE HELP i don’t get this
