Based on the vertices of quadrilateral PQRS, we can infer that quadrilateral PQRS is NOT a parallelogram.
Why is quadrilateral PQRS not a parallelogram?Quadrilateral PQRS would be a parallelogram if the sides have the same slope as this would prove that they are parallel.
The slope of PQ is:
= (6 - 5) / (6 - 4)
= 1/2
The slope of RS is:
= (2 - 4) / (7 - 9)
= -2 / -2
= 1
The slopes are not the same so quadrilateral PQRS is NOT a parallelogram.
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Answer: The quadrilateral is not a parallelogram.
Step-by-step explanation:
I am given that the vertices of quadrilateral PQRS are P(4,5), Q(6,6), R(9,4) and S(7,2). The slope formula applied to each pair of adjacent vertices gives the slopes of the sides:
slope of PQ= 1/2
slope of QR= -2/3
slope of RS= 1
slope of SP= -1
Since each side has a different slope, none of the sides are parallel. So quadrilateral PQRS is not a parallelogram.
21. Write an equation in point-slope form for the line through the given point with the given slope.
3
(4, -6);m=3/5
Answer:
y + 6 = [tex]\frac{3}{5}[/tex] (x - 4)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = [tex]\frac{3}{5}[/tex] and (a, b ) = (4, - 6 ) , then
y - (- 6) = [tex]\frac{3}{5}[/tex] (x - 4) , that is
y + 6 = [tex]\frac{3}{5}[/tex] (x - 4)
Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.
Answer:
30 degrees
Step-by-step explanation:
180-56-90=34
34 rounded off to nearest tenth is 30
Given: c= 11 and b=5 Then the m
Round to the nearest degree. Enter a number answer only.
Answer:
62.9643082106 degrees
Step-by-step explanation:
First, notice that triangle ABC is a right triangle. This allows us to use SIN, COS, and TAN to find the measure of angle A. Recall SOH CAH TOA, so SIN = OPPOSITE / HYPOTENUSE, COS = ADJACENT / HYPOTENUSE, and TAN = OPPOSITE / ADJACENT.
Looking at angle A, sides c and b correspond to hypotenuse and adjacent respectively. Therefore, we can use COS to set up an equation.
cos(A) = b/c
cos(A) = 5/11
A = arccos(5/11)
A = 62.9643082106 deg
7x⁴ + 3x² - 4 X= -2
Answer:
Step-by-step explanation:
Find f.
write your answer as an integer or as a decimal rounded to the nearest tenth.
In the give diagram, the value of f is 6.0
The Law of sinesFrom the question, we are to determine the value of f
Using the law of sines, we can write that
[tex]\frac{f}{sinF} =\frac{e}{sinE}[/tex]
From the given information,
F = 27°
e = 13
E = 98°
Putting the parameters into the equation, we get
[tex]\frac{f}{sin(27)} =\frac{13}{sin(98)}[/tex]
[tex]\frac{f}{0.4540} =\frac{13}{0.9903}[/tex]
[tex]f=\frac{13 \times 0.4540}{0.9903}[/tex]
f = 5.9598
f ≅ 6.0
Hence, the value of f is 6.0
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The chance that two people have four repeats in location A is 1 in 100. The chance that two people have eight repeats in location B is 1 in 50. The probability that two people have three repeats in location C is 1 in 200. What is the probability that two people would have matching DNA fingerprints for these three locations by chance
The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000
According to statement
In location A the chance that two people have four repeats is 1 in 100.
In location B the chance that two people have eight repeats is 1 in 50.
In location C the chance that two people have three repeats is 1 in 200.
So, to find the probability that two people would have matching DNA fingerprints for these three locations
Multiply the all chances in these locations:
1/100 x 1/50 x 1/200 = 1/1,000,000
So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000
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A triangle can be formed having side lengths $4,$ $5,$ and $8.$ It is impossible, however, to construct a triangle with side lengths $4,$ $5,$ and $10.$ Using the side lengths $2,$ $3,$ $5,$ $7,$ and $11,$ how many different triangles with exactly two equal sides can be formed
14 triangles with exactly two equal sides can be formed
The triangles will be isosceles as there have to be 2 equal sides.
The possible triangles are :
2 2 3 3 3 2 5 5 2 7 7 2 11 11 2
3 3 5 5 5 3 7 7 3 11 11 3
5 5 7 7 7 5 11 11 5
7 7 11 11 11 7
So 14 triangles are possible
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Solve the following system of equations using substitution
2x + 3y = 3
x – 2y = 5
The solution to the equations 2x + 3y = 3, x – 2y = 5 using substitution method is y = -1 and x = 3 respectively.
Simultaneous equation2x + 3y = 3
x – 2y = 5
from equation (2)
x = 5 + 2y
Substitute x = 5 + 2y into equation (1)
2x + 3y = 3
2(5 + 2y) + 3y = 3
10 + 4y + 3y = 3
10 + 7y = 3
7y = 3 - 10
7y = -7
y = -7/7
y = -1
Substitute y = -1 into (2)
x – 2y = 5
x - 2(-1) = 5
x + 2 = 5
x = 5 - 2
x = 3
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ken needs to order 8 new uniform for the soccer team. Each uniform cost $14 and a pair of shorts. The cost of the shorts, c is unknown. 2 equivalent expressions for the cost of 8 uniforms
The equivalent expressions for the costs are 8 * (14 + c) and 112 + 8c
How to determine the total cost?The given parameters are:
Number of uniform = 8
Cost of each = $14
The cost of the uniforms and the shorts is then calculated as:
Cost = Number of uniforms * (Cost of uniform + Cost of short)
This gives
Cost= 8 * (14 + c)
Expand
Cost = 112 + 8c
Hence, the equivalent expressions for the costs are 8 * (14 + c) and 112 + 8c
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Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Answer:
if x=0 then they have same value
1st and 2nd options are out
for x=-1
g(-1)=1
h(-1)=-1
3rd is true
4th
false
for all values except zero, g(x)>h(x)
correct ones are
ANSWER: g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
How many triangles can be formed
from two given angle measures and
the length of their included side?
None
One
Two
Infinite number
Answer:
B. One
Step-by-step explanation:
Since the two angles are already given, the value of the third angle is already fixed. The third angle can be found by the sum of both angles subtracted from 180. Since 2 angles and lengths are already given, there can only be 1 triangle.
Hope this helps!
If not, I am sorry.
Determine the standard form of the equation for the circle with center (h,k) =( -5, 1/2) and radius r=1
Answer:
[tex](x + 5) ^{2} + {(y - \frac{1}{2}) }^{2} = 1[/tex]
Step-by-step explanation:
the formula of a circle is
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
knowing the values of h, k, and r we can substitute them into the formula
knowing the
find the value of each variable in the parallelogram
Answer:
a= 79° because they are in the position of co interior and b°is 101 it's self because of VOA
The two toy store owners agree to specialize and to trade 30 puzzles for 10 puppets. The terms of trade are still 3 puzzles for each puppet. How many puzzles and puppets will each one have after they complete their trade
After completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.
Here,
Let's assume the two toy store owners are Store Owner A and Store Owner B.
Before the trade, Store Owner A has 30 puzzles and 0 puppets, and Store Owner B has 0 puzzles and 10 puppets.
They agree to trade 30 puzzles for 10 puppets at a rate of 3 puzzles for each puppet.
So, for every 3 puzzles, Store Owner A will receive 1 puppet.
Store Owner A gives away 30 puzzles and receives 30 / 3 = 10 puppets.
After the trade, Store Owner A has 0 puzzles and 10 puppets.
Store Owner B gives away 10 puppets and receives 10 * 3 = 30 puzzles.
After the trade, Store Owner B has 30 puzzles and 0 puppets.
So, after completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.
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In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). Match each pair of coordinates to the corresponding point on AB.
Diving the length AB into equal parts gives;
[tex]D→\left (4 \:,4.5\right) [/tex]
[tex]E→\left (5 \:,4.75\right) [/tex]
[tex]H→\left (8 \:,5.5\right) [/tex]
[tex]I →\left (9 \:,5.75\right) [/tex]
How can the coordinates of the points be found?The number of equal parts obtained by counting are 8
Coordinates of point A is (2, 4)
Coordinates of point B is (10, 6)
Therefore;
Coordinates of point C is
[tex]\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right) [/tex]
Coordinates of point D are;
[tex]\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right) [/tex]
Coordinates of point E are;
[tex]\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right) [/tex]
Coordinates of point F are;
[tex] \mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right) [/tex]
Coordinates of point H are;
[tex]\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right) [/tex]
Coordinates of point I are;
[tex]\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right) [/tex]
Which gives;
[tex]D→\left (4 \:,4.5\right) [/tex]
[tex]E→\left (5 \:,4.75\right) [/tex]
[tex]H→\left (8 \:,5.5\right) [/tex]
[tex]I →\left (9 \:,5.75\right) [/tex]
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I’m not sure what to fill in
Answer:
(0, 5)
(1, 6)
(4, 7)
(9, 8)
Step-by-step explanation:
y = √x + 5
y = √0 + 5
= 5
y = √1 + 5
= 6
y = √4 + 5
= 2 + 5
= 7
y = √9 + 5
= 3 + 5
= 8
Find an equation of rational function that has vertical asymptotes at x = 3 and x =
-5, horizontal asymptote at y = 0, and y intercept of 1.
The rational function that meets all the conditions is:
[tex]f(x) = \frac{-15}{(x - 3)*(x + 5)}[/tex]
How to find the rational function?
A rational function is of the form:
[tex]f(x) = \frac{p(x)}{q(x)}[/tex]
As the horizontal asymptote is at y = 0, we know that the numerator can't depend on x, so it is just a constant.
p(x) = a
And we want to have two vertical asymptotes at x = 3 and x = -5, then q(x) becomes zero at these values, so we have:
q(x) = (x -3)*(x + 5)
At this point, the function is:
[tex]f(x) = \frac{a}{(x - 3)*(x + 5)}[/tex]
Finally, we know that the y-intercept is 1, then we need to solve:
[tex]f(0) = 1 = \frac{a}{(0 - 3)*(0 +5)} = \frac{a}{-15} \\\\-15 = a[/tex]
Then we conclude that our function is:
[tex]f(x) = \frac{-15}{(x - 3)*(x + 5)}[/tex]
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i need help fast for both please
Find the x to the nearest tenth using this picture.
Answer:
21.1
Step-by-step explanation:
sin 49 = x / 28
0.75470958 = x/28
x = 21.1
Answer:
x=18.4
y=35
Step-by-step explanation:
So to solve for x, you're going to use one of the six trigonometric functions (you really only need to use the three main ones, sin, cos, and tan, to solve these problems). In this case you know the adjacent of the angle 49 degrees, and the hypotenuse. There is a trigonometric function which is defined as: [tex]\frac{adjacent}{hypotenuse}=cos(\theta)[/tex]. So let's plug in the known values:
[tex]cos(49) = \frac{x}{28}[/tex]
Multiply both sides by 28
[tex]cos(49) * 28 = x\\[/tex]
Calculate cos(49) using a calculator (make sure it's in degree mode):
[tex]0.656 * 28 \approx x[/tex]
[tex]18.4 \approx x[/tex]
So the second problem, you need to use the inverse of one of the trigonometric function, which essentially takes what f(x) is, and returns x. So in this case we're looking for a trigonometric function that is defined using the opposite and adjacent side, which tan is. [tex]tan(\theta)=\frac{opposite}{adajcent}[/tex]. In this case opposite=19, and adjacent=27. So plug in the known values:
[tex]tan(y)=\frac{19}{27}[/tex]
Apply the inverse of tan to both sides
[tex]y=tan^{-1}(\frac{19}{27})[/tex]
Calculate inverse of tan of 19/27 using a calculator:
[tex]y\approx35[/tex]
A measure of the strength of the relationship between two variables is referred to as the?
A measure of the strength of the relationship between two variables is referred to as the correlation coefficient.
What is the correlation coefficient?To gauge the strength of the linear link between two variables, correlation coefficients are used.
For a value of correlation coefficient less than zero denotes a negative association, while a value greater than zero denotes a positive relationship.
Zero correlation coefficient means there is no correlation between the two variables under comparison.
A crucial idea in building diversified portfolios that may better resist portfolio volatility is the concept of a negative correlation, often known as an inverse correlation.
Since calculating the correlation coefficient takes time, it is frequently done by entering data into a calculator, computer, or statistics application.
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How do you write 0.000003939 in scientific notation?
9. What is the slope of a line that is parallel to the line shown?
yy
(-3, 2)
(0,-2)
Answer:
the slope of a line is parallel to the line is (3,-2)
(0,2)
A supplier bought a scanner for rs 35000 and sold it for rs 47460with 13% vat. Find the profit or loss percent of supplier
The profit percent of supplier is 17.972 %
How to determine the profit or loss percent of supplier?The given parameters are:
Cost price = Rs 35000Selling price = Rs 47460VAT = 13%Start by calculating the selling price without VAT
Selling price = Rs 47460 * (1 - 13%)
Evaluate
Selling price = Rs 41290.2
The percentage profit is then calculated as:
Percentage profit = (Selling price - Cost price)/Cost price * 100%
This gives
Percentage profit = (41290.2 - 35000)/35000 * 100%
Evaluate
Percentage profit = 17.972 %
Hence, the profit percent of supplier is 17.972 %
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Part a: write an algebraic expression for 6 more than 7 times a number. (5 points)
part b: write a verbal expression for 3(n + 8). (5 points)
( will pick brainliest. please help, if i dont get a good grade on this, i might fail. )
Part A
If the number is n, then the expression is 7n+6.
Part B
Three times the sum of a number and 8.
On dividing x^3-3x^2+x+2 by a polynomial g(x), the quotient and remainder were x- 2 and "-2x+1" respectively, then g(x) is equal to
Answer:
refer to the above attachment
how much will it cost for him to pull the fence around his entire property? Pls help asap this is due in like 2 hrs
Answer:
$1265
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
here length = 40 and A = 2800 , then
2800 = 40 × width ( divide both sides by 40 )
70 = width
the perimeter (P) is calculated as
P = 2(length + width) = 2(40 + 70) = 2 × 110 = 220 ft
cost = 220 × $5.75 = $1265
Answer:
$1265
Step-by-step explanation:
area = length × width
area = 2800
length = 40
2800 / 40 = 70
So, the width of the lot is 70ft , and the length is 40
when building a fence, it would surround the entire property's perimeter (which is the length of the outside edges/sides of the shape added together)
so, it would need to cover 70 + 40 + 70 + 40
(the perimeter = 70 + 40 + 70 + 40)
= 220
so, if each foot costs 5.75, we can multiply 220 × 5.75 to find the cost:
220 × 5.75 = 1265
So, this will cost him $1265
hope this helps! have a lovely day :)
what graph represents −3x+1≤10
The solution of the inequality is x ≥ -3 and the graph is shown below
Graph of inequalitiesFrom the question, we are to determine the graph that represents the given inequality
The given inequality is
−3x + 1 ≤ 10
First, we will solve the inequality
−3x + 1 ≤ 10
Subtract 1 from both sides
−3x +1 -1 ≤ 10 - 1
−3x ≤ 9
Divide both sides by -3 and flip the sign
x ≥ -3
The graph of the inequality is shown below
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What would be the answer to this ?
The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).
Hence, the missing values are 3 and 2 respectively.
What is the factorized form of the expression?Given the expression: 2x² - x - 6
First, we factor -1 out of -x
2x² - x - 6
2x² -1(x) - 6
Not that, -1 can also be written as 3-4
2x² + (3-4)x - 6
2x² + 3x - 4x - 6
Next, we group the first two terms and the last two terms and factor out the GCF
(2x² + 3x) - 4x - 6
x(2x + 3) - 2( 2x + 3)
Factor out the GFC which is ( 2x+3 )
We have; ( 2x + 3 )( x - 2 )
The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).
Hence, the missing values are 3 and 2 respectively.
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A card is picked at random from a standard deck of cards. what is the sample space for this experiment if you were trying to find p(face card)? a. sample space = 12 b. sample space = startfraction 3 over 13 endfraction c. sample space = startfraction 12 over 52 endfraction d. sample space = 52
The sample space neeeded for the experiment to find the face cards is 52.
Given there is a standard deck of cards.
We have to finf the sample space needed for the experiment of finding the probability of face cards.
Probability is the chance of happening an event among all the events that are possible. It lies between 0 and 1. The probability is the number of items divided by the total items.
Sample is a part of population. It is studied when the study of whole population is difficult to do.
Cards in a deck=52
Number of face cards is 12.
When we draw a card from the deck then it might be a face card or not. So we have to draw all the cards of a standard deck because it might possible that face card is present at the end of deck.
Hence the sample size needed in the experiment is 52.
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-8-3k
2
= 11
How do I do this problem?
Answer:
k = - 3 1/6
Step-by-step explanation:
-8-3k(2)=11
-8-6k = 11
8 - 8 - 6k = 11 + 8
-6k = 19
-6k/-6 = 19/-6
k = -3.16667
k = -3 1/6