show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle
Answers
Answer:
the sides are different lengths as shown in the diagram
Step-by-step explanation:
Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.
A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.
Related Questions
Find the conjugate of 2 - 5i and then calculate the product of the given complex number and its conjugate. (1 point)
Answers
Answer:
29
Step-by-step explanation:
conjugate of a+ib=a-ib
conjugate of 2-5i=2+5i
(2+5i)(2-5i)=2²-(5i)²=4-25i²=4-25(-1)=4+25=29
Answer:
29
i had the same question and 29 was the right answer
Please Help Answer :(
Answers
Answer:
8 ^ 20
Step-by-step explanation:
(8 ^ 10) ^2
We know that a^ b^ c = a^ ( b*c)
8 ^ (10*2)
8 ^ 20
Find the measure of the missing angle.
156°
a =
Answers
Answer:
Below!
Step-by-step explanation:
A straight line = 180 degrees, so all you need to do to find angle a is to subtract 156 from 180!
180 - 156 = 24 degrees
Hope this helped!
Dr. Perry conducts a study in which she evaluates the effectiveness of an adult literacy program. The study is both quantitative and qualitative in nature, and the 30 participants are treated as equal researchers in the study. What research method is Dr. Perry MOST likely to use
Answers
The method is Dr. Perry most likely to use is Participatory action research.
Participatory action research is a type of research characterized by :
Qualitative and quantitative method Active participation of the community involved in the researchAdditionally, in this type of research, the community involved is treated as researchers and their contributions are taken into account in the result of the same.
According to the above, the type of research suitable for Dr Perry's study is participatory action research, since it includes all the factors that Dr Perry takes into account for her research such as quantitavie/qualitative method and active participation from the community involved.
On the other hand, case study, naturalistic observation, and focus group are not the correct options because they use other methods in which the studied community does not actively participate.
Learn more in: https://brainly.com/question/15930435
Note:
This question is incomplete because the options are missing. Here are the options.
A. Case study
B. Naturalistic observation
C. Participatory action research
D. Focus group
5/14, 7/10, 5/6, 11/15, 19/21 arrange from ascending order
Answers
Answer:
5/14, 7/10, 11/15, 5/6, 19/21.
Step-by-step explanation:
Covert the fractions to decimal form:
5/14 = 0.357
7/10 = 0.7
5/6 = 0.833
11/15 = 0.733
19/21 = 0.905.
So in ascending order this is:
5/14, 7/10, 11/15, 5/6, 19/21.
Answer:
Step-by-step explanation:
to arrange in ascending order, we need to convert them into like fractions
to convert them into like fractions, we need to find the LCM of the denominators
the LCM of the denominators ( 14, 10, 6, 15 and 21 ) is 210
5/14 × 15/15 = 75/210
7/10 × 21/21 = 147/210
5/6 × 35/35 = 175/210
11/15 × 14/14 =154/210
19/21 × 10/10 = 190/210
75/210 < 147/210 < 154/210 < 175/201 < 190/210
∴ 5/14 < 7/10 < 11/15 < 5/6 < 19/21
Hope this helps
plz mark as brainliest!!!!!!!
Find the value of a.
3a-9=15
Answers
Answer:
a = 8Step-by-step explanation:
3a - 9= 15
To solve the equation send the constants to the right side of the equation
That's
3a = 15 + 9
simplify
3a = 24
Divide both sides by 3
[tex]\frac{3a}{3} = \frac{24}{3}[/tex]
The final answer is
a = 8
Hope this helps you
Answer:
a = 8
Explanation:
Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.
3a - 9 = 15
3a - 9 + 9 = 15 + 9
3a = 24
Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.
3a = 24
3a/3 = 24/3
a = 8
Since we have fully isolated the variable, a, we have determined its value.
Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.
Can someone tell me if this is correct? I said neither is correct.
Answers
Answer:
Neither is correct
Answer:
You are right.
Step-by-step explanation:
Neither transformation gives the triangle FGE.
Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?
Answers
Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
BRAINLIEST, 5 STARS, 50 POINTS AND THANKS IF ANSWERED CORRECTLY.
----------------------------------------------------------
1. What are the solutions for x when y is equal to 0 in the following quadratic function?
y = x^2 + 4
2. What are the solutions for x when y is equal to 0 in the following quadratic function?
y = x^2 - 81
----------------------------------------------------------
Thank you if you answered!
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← complex solutions
(2)
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9 ← real solutions
Answer:
1. -2
2. 9
Step-by-step explanation:
1. 0 = x2 + 4
-4 = x2
[tex]\sqrt{-4}[/tex] = x
x = -2
2. 0 = x2 - 81
81 = x2
[tex]\sqrt{81}[/tex] = x
x = 9
MARK IT BRAINLIEST!!!
-The pendulum would accelerate to the right.
-The pendulum would accelerate downward.
-The pendulum would accelerate to the left.
-The pendulum would accelerate to the upward. help needed ASAP will give brainliest
Answers
Answer:
The pendulum would accelerate to the left.
Step-by-step explanation:
Because the force pushing it left is greater than the force pushing it right, it would go to the left.
Z= -3 - 8i Find the angle θtheta (in degrees) that z makes in the complex plane. Round your answer, if necessary, to the nearest tenth. Express θtheta between -180 180 degrees.
Answers
The angle is negative to indicate a clockwise rotation.
======================================================
Explanation:
Z = -3 - 8i is in the form z = a+bi with a = -3 and b = -8
In the complex plane the point (a,b) represents the location of z = a+bi
Define three points with the locations
P = (a,b) = (-3,8)
Q = (0,0)
R = (10,0)
The angle PQR is the angle theta we're looking for. This is the angle formed between the positive x axis and the terminal point (a,b)
Use the arctan function to find theta
theta = arctan(b/a)
theta = arctan( (-8)/(-3) )
theta = 69.4439547804166
theta = 69.4 degrees approximately
Note how this theta value is in quadrant Q1, but (a,b) = (-3, -8) is in Q3
So we need to add 180 degrees to adjust this error.
69.4+180 = 249.4
and we're now in the proper quadrant. We would stop here if your teacher did not put the restriction that theta must be between -180 and 180.
However, this restriction is in place so we need to find the difference of 360 and 249.4 to get 360-249.4 = 110.6
-----------
The angle 249.4 degrees is coterminal to -110.6 degrees. They both point in the same direction.
angle 249.4 degrees is found by starting pointing directly east and rotating 249.4 degrees counterclockwise
angle -110.6 degrees is found by starting directly east and rotating 110.6 degrees clockwise.
Check out the diagram below. I used GeoGebra to make the diagram.
PLEASE HELP!
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Answers
Refer the attached image for the answer
HOPE SO IT HELPS YOU
Find the area of the shape:
Answers
Answer:
(8×6)+2×((14+6)×6)
=48+2×(20×6)
=48+240
=288
Step-by-step explanation:
please mark me as brainliest
Solve for x.
6(4x+2)= 3(8x+4)
Answers
x = 1
Step-by-step explanation:
6(4x + 2) = 3(8x + 4)
24x + 12 = 24x + 12
x = 1
6(4x+2) = 3(8x+4)
24x + 12 = 24x + 12
-12 -12
24x = 24x
-24 -24
x = x
Which expressions are equivalent to -2y-8+4y−2y−8+4yminus, 2, y, minus, 8, plus, 4, y ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -2(y+4)+4y−2(y+4)+4yminus, 2, left parenthesis, y, plus, 4, right parenthesis, plus, 4, y (Choice B) B 4(-2+y)-2y4(−2+y)−2y4, left parenthesis, minus, 2, plus, y, right parenthesis, minus, 2, y (Choice C) C None of the above
Answers
Answer:
C. None of the above. The correct expression is 2(y-4)Step-by-step explanation:
Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;
Step 1: Collect the like terms of the expression
= -2y-8+4y
= (-2y+4y)-8
Step 2: Sum up the terms in parenthesis:
= (-2y+4y)-8
= 2y-8
Step 3: factor out the common terms
= 2y-8
= 2(y-4)
Hence the equivalent expression is 2(y-4).
Answer:
A and B
Step-by-step explanation:
On Khan Academy its right.
solve 15x²+8x+1÷ 2x-y
Answers
Answer:
\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}
Step-by-step explanation:
15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)
add on 2x -y as the denominator of the fraction
I really need help thia is my last chance to get a good grade in math-
Answers
Answer:
Step-by-step explanation:
bsahaahaaana
the length of a rectangle is three times its width .if the perimeter is 72cm,calculate the width of the rectangle.
Answers
Answer:
Width = 9
Step-by-step explanation:
According to the problem...
3x = length
x = width
2(3x + x) = 72
3x+x = 36
4x = 36
x = 9 = width
Hope that helped!!! k
Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?
f(x)= x3 - 2x2 - 3x + 6
f(x)= x3 - 2x2 + 3x + 6
f(x)= x3 + 2x2 - 3x + 6
f(x)= x3 + 2x2 - 3x - 6
Answers
Using the factor theorem, it is found that the polynomial is:
[tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex]
Given by the first option
---------------------------
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] using the factor theorem it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
---------------------------
In this question:
[tex]x_1 = 2[/tex][tex]x_2 = \sqrt{3}[/tex][tex]x_3 = -\sqrt{3}[/tex]By the options, leading coefficient [tex]a = 1[/tex]Thus:
[tex]f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})[/tex]
[tex]f(x) = (x - 2)(x^2 - 3)[/tex]
[tex]f(x) = x^3 -2x^2 - 3x + 6[/tex]
Which is the polynomial.
A similar problem is given that: https://brainly.com/question/4786502
At a school carnival is the diameter of the map of a trampoline has 12 feet and the diameter of the metal frame is 14 feet what is the length in feet of the metal frame that's around the trampoline use 3.14 for pie and round the answer to the nearest 10th
Answers
Answer:
The length of the steel frame will be approximately 44 feet
Step-by-step explanation:
We can solve this problem by calculating the circumference of the steel frame. We are working with the fact that the steel frame was welded into a circular shape.
The circumference of the steel frame can be calculated using
[tex]circumference = \pi \times d[/tex]
where d diameter of the steel frame = 14 feet
[tex]circumference = 3.14 \times 14=43.96ft[/tex]
Therefore, the length of the steel frame will be approximately 44 feet
A piece of aluminum occupies a volume of 13.0 milliliters and weighs 52.9 grams. What is its density of the aluminum rounded to the nearest hundredth?
Answers
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME THE STEP BY STEP EXPLANATION!!
The data value that occurs most often in a data set is the ____________.
A. mode
B. median
C. mean
D. range
Answers
mode is the data that occurs most often in a data
Latisha drove around town running errands all afternoon. The path she took is shown on the map below.
A path is 17 inches long. The scale is 2 inches = 3 miles.
To the nearest mile, what is the total distance that she traveled?
Answers
17/2 to x/3
cross multiply
51 = 2x
x= 25.5 miles or 26
20 points thanks :) im kinda stuck lol
Answers
1. (a) 0 = x² + 4x - 12 (Switch Sides)
x² + 4x - 12 = 0 (Factor Expression)
(x - 2)(x + 6) = 0 (Apply the Zero Factor Principle)
x = 2, and x = - 6
x - intercept : (2, 0) and ( - 6, 0)
(b) y = (0)² + 4(0) - 12 (Simplify)
y = 0 + 4 * 0 - 12 = 0 + 0 - 12 = - 12
y - intercept : (0, - 12)
(c) Our vertex belongs to an upward facing parabola, and hence it will be a minimum, of ( - 2, - 16).
2. Seth's solution is not accurate. He did the calculations accurately, and ended up with x = 3 and x = - 2. However he forgot to substitute those values back into the equations y = x² + 3x - 5 and y = 4x + 1, solving for the y values. Instead of being ( - 2, 0) and (3, 0) it should have been (3, 13), ( - 2, - 7)...
y = (3)² + 3(3) - 5 = 9 + 9 - 5 = 18 - 5 = 13,
y = 4( - 2) + 1 = - 8 + 1 = - 7
Hence we get the solutions (3, 13) and ( - 2, - 7).
I need domain and range
Answers
Answer:
-3 and infinity
Step-by-step explanation:
We can calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation e=17/20d. How many U.S. dollars have the same value as 1 euro?
Answers
Answer:
1.18 dollar.
Step-by-step explanation:
E = 17/20D
E => The amount in euros.
D => The amount in dollars.
From the question given,
E = 1
D =?
E = 17/20D
1 = 17/20D
Cross multiply
20 x 1 = 17D
20 = 17D
Divide both side by 17
D = 20/17
D = 1.18
Therefore, 1.18 dollar is equivalent to 1 euro.
Answer:
How many Euros have the same value as 1 U.S. dollar?
17/20 euros
How many U.S. dollars have the same value as 1 euro?
59/50 dollars
(or 0.85 either one is correct)
Step-by-step explanation:
Khan Academy
Hope this helps! ;)
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Radhika answered all the questions and scored 30 marks though she got 10 correct answers. How many incorrect answers had they attempted?
Answers
Answer:
10 incorrect answers
Step-by-step explanation:
From the information given, you can say that 5 marks for the number of correct answers minus two marks for the number of incorrect answers is equal to 30 that is the score that Radhika got:
(5*10)-2x= 30, where x is the number of incorrect answers.
Now, you can solve for x:
50-2x=30
50-30=2x
20=2x
x=20/2
x=10
According to this, the answer is that they attempted 10 incorrect answers.
At a potluck, Agatha brings four dishes, Bertha brings three dishes, and five other friends bring no dishes but instead money to help pay for the food. If all the dishes are eaten up, and everyone eats the same amount, what fraction of the money should go to Bertha?
Answers
Answer:
3/7
Step-by-step explanation:
Agatha brings four dishes, Bertha brings three dishes. The total number of dishes brought = dishes brought by Agatha + dishes brought by Bertha.
Total dishes = 4 + 3 = 7 dishes
The remaining five friends brought money for the dishes. Therefore the fraction of money going to Bertha is the ratio of dishes brought to Bertha to the total number of dishes multiplied by the money. Therefore:
Fraction of the money should go to Bertha = dishes brought by Bertha/total dishes
Fraction of the money should go to Bertha = 3/7 × money
Evaluate the Expression z(z-7) when z=10
Answers
Answer:
30
Step-by-step explanation:
z(z-7)
Let z= 10
10(10-7)
Parentheses first
10 (3)
Multiply
30
Answer:
[tex]\huge\boxed{\sf 30\\}[/tex]
Step-by-step explanation:
= z ( z - 7 )
Put z = 10
= 10 ( 10 - 7 )
= 10 ( 3 )
= 30
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Dos secretarias deben escribir el mismo número de cartas. La primera escribe 2 cartas por hora y la otra, 5 cartas por hora. Si la primera ha empezado 6 horas antes que la segunda. ¿Cuántas horas
trabajó la primera?
Ayuden!!
Answers
Answer:
El número de horas que trabajó la primera secretaria es de 10 horas
Step-by-step explanation:
Los parámetros dados son;
El número de letras que la primera secretaria puede escribir por hora = 2 letras
El número de letras que el segundo secretario puede escribir por hora = 5 letras
Dado que la primera secretaria comenzó 6 horas antes que la segunda secretaria, tenemos;
Sea el tiempo en horas en que ambas secretarias habrán escrito el mismo número de letras = [tex]t_e[/tex]
2 × [tex]t_e[/tex] + 2 × 6 = 5 × [tex]t_e[/tex]
2 × [tex]t_e[/tex] + 12 = 5 × [tex]t_e[/tex]
12 = 5 × [tex]t_e[/tex] - 2 × [tex]t_e[/tex] = 3 × [tex]t_e[/tex]
12 = 3 × [tex]t_e[/tex]
3 × [tex]t_e[/tex] = 12
[tex]t_e[/tex] = 12/3 = 4 horas
El número de horas que trabajó la primera secretaria = Tiempo de inicio anticipado + Tiempo que le toma a la segunda secretaria que comenzó 6 horas más tarde y a la primera secretaria que había estado escribiendo durante 6 horas (inicio anticipado) escribir la misma cantidad de cartas
El número de horas que trabajó la primera secretaria = 6 + 4 = 10 horas.
Por lo tanto, el número de horas que trabajó la primera secretaria = 10 horas.