Which angle in the triangle with vertices A (4, 4), B (5,6), and C (8,2) is a right angle?
Answers
The triangle does not represent aright-angled triangle
The coordinates of the triangle are given as:
[tex]\mathbf{A = (4,4)}[/tex]
[tex]\mathbf{B = (5,6)}[/tex]
[tex]\mathbf{C = (8,2)}[/tex]
Start by calculating the slopes of the lines that pass through the vertices of the triangles using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]
[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]
[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB
[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]
[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]
[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB
[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]
[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]
[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC
None of the slopes have the following relationship with another slope
[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line
Hence, the triangle is not a right-angled triangle
Read more about triangles at:
https://brainly.com/question/3189840
Related Questions
Please help (picture is linked)
Answers
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
i need help with something pls help asap
Answers
Answer: h < 7
Step-by-step explanation:
h + 3 < 10
h + 3 - 3 < 10 - 3
simplify:
h < 7
I would appreciate if you answered!
Answers
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?
Answers
The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increase?
Answers
Answer: Percentage increase is 87.02%.
Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.
a. Subtract value in 2012 from value in 2011
b. Divide the answer in part a by value in 2011.
c. Multiply the answer in part b by 100.
We have the percentage increase.
mark brainliest pls
a factory makes lightbulb's out of 400 light bulbs 18 were found to have defective filaments
Answers
Answer: If you are asking for percentage, 18/400 bulbs were defective. In other words, 4.5% of bulbs were defective. This also means that 95.5% of bulbs were not defective.
Would appreciate brainly <3
if an angle is bisected to form two new 16° angles, what was the measure or the original angle
Answers
Answer:
32°
Step-by-step explanation:
16 × 2 = 32
Keywords:
Bisected; means to divide into two parts.
Answer:
So, original angle = 16°+16° =>32°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)
Please explain
Answers
Answer:
x = 1
y = -3
Step-by-step explanation:
There are 2 ways, in this case the best way is by substitution so:
y = x - 4
y = -3x
basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.
y = -3x
so that means that
-3x = x - 4
you solve the equation:
-3x - x = -4
-4x = -4
x = -4 : -4
x = 1
Now we know that x is 1 so now we find out what is y
y = 1 - 4
y = -3
Angles of a triangle worksheet
I got most of it but still confused on the rest… anyone got answers ASAP!
Answers
Answer:
I wish a could help u,
Step-by-step explanation:
I dont know what is that:)
3
15. 6x + 10y=0
Find the slipe
Answers
Answer: y = -3/5x
............................................
Here is how i did it:
6x + 10y = 0
-6x. -6x
10y = -6x
——. ——
10. 10
y=-3/5x
Slope intercept form is y=mx+b, and the
original equation was not in that form so 6 is not the slope, it’s is -3/5
find the total surface area of this triangular prism PLEASE HELP
Answers
Answer:
Step-by-step explanation:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
S.A=(help me)
Write an equation of a line that passes through the point (2, 0) and is perpendicular to the line y=-1/2x+3
Answers
Answer:
I think it's. y=-2/1x+2
the reciprocal of 5 and 4/9
Answers
Answer:
1/5 and 9/4
Step-by-step explanation:
Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is the reciprocal of a number?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].
We have the following numbers -
5 and 4/9
We can write -
x = 5
y = 4/9
So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.
The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.
Therefore -
the reciprocal of 5 will be 1/5. the reciprocal of 4/9 will be 9/4.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answers
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
solve pls brainliest
Answers
Answer:
20yd²
Step-by-step explanation:
6 × 6 = 36
4 × 4 = 16
36
-16
20
A formula is given with the value of all but one of the variables in the formula. Find the value of the variable not given.
P=2L + 2W; L= 4, W = 8
Answers
Answer:
P = 24
Step-by-step explanation:
P = 2L + 2W ( substitute L = 4, W = 8 into the formula )
P = 2(4) + 2(8) = 8 + 16 = 24
Answer :
Step-by-step explanation:
P=2(4)+2(8)
P=8+16
P= 24
find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length
Answers
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Which scatter plot shows a positive linear association
Answers
Answer:
Plot AStep-by-step explanation:
Both B and C show a decreasing plot, while C is linear.
Only A is a positive ignoring the outliers.
What is the degree of 6x5 - 4x2 + 2x2 – 3 + x?
O A. 6
O B. 2
C. 5
O D. 3
Answers
Answer:
5
Step-by-step explanation:
It is the greatest exponent.
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.
Draw the normal curve
What range of hours constitutes 96% of light bulb hours of life?
Between 300 and 700 hours
Less than 600 hours
Answers
Answer:
C. 97.1 should be your answer
Step-by-step explanation:
hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D
Answers
Step-by-step explanation:
When you get negative it is ok.
It means you have a discount here, not really increase but decrease in price.
Here you have:
(1680 - 4200)/4200*100% = - 60%It is called 60% mark down or 60% discount
Please help. ( WILL MARK BRAINLIEST)
Answers
Answer:
499.2 cm^2
Step-by-step explanation:
((12*10.4)/2)*8=6*10.4*8=499.2
Formulas Used:
Area of triangle - 1/2bh
Answer the question below:
A: 2 units right and 6 units up
B: 6 units left and 2 units down
C: 2 units left and 6 units up
D: 6 units right and 2 units down
Answers
Answer:
c
Step-by-step explanation:
What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)
Answers
[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]
There are no like terms so we can't simplify itFactoring[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]
[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]
Answer:
Choice D
Step-by-step explanation:
Factorise: 4x²-9y²
We can obtain the factorization by this identity:
a² - b² = (a+b)(a-b)Rewrite the given expression as:
(2x)² - (3y)²Let (2x)² be a and (3y)² be b according to the identity.
So applying the identity:
(2x+3y)(2x-3y)(2x-3y)(2x+3y)Choice D is accurate.
solve the short line equation, image attached, giving brainliest please help
Answers
Answer:
x = 3
Step-by-step explanation:
2 - 2x = -3 - -1
2 - 2x = -4
-2x = -6
-2x / -2 = 1x
-6 / -2 = 3
ur answer is then 1x = 3 or x = 3.
Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.
Answers
Answer:
-2.4, or -72/30 or -2 4/10
Step-by-step explanation:
m + np - q
m = 1/15
n = -1/3
p = -0.4
q = 2 1/3
1/15 + (1/3)(-0.4) - 2 1/3
1/15 + (-4/30) - 2 1/3
2/30 - 4/30 - 70/30
-2/30 - 70/30 = -72/30
-72/30 = -2.4
-Chetan K
Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour
Answers
Answer:
The final total including tax is 838.5
The sale tax is 58.5
Step-by-step explanation:
4(x-3)/8=y change the subject to x
Answers
4(x-3) = 8y
4x - 12 = 8y
4x = 8y + 12
x = 2y + 3
What is a rate in math.
Answers
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
taxi Cab Company B: $6.50 per ride and $0.50 per mile
Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?
Answers
Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50
Cost per ride = $6.50Cost per mile = $0.50Using the slope - intercept relation :
y = bx + cb = change in cost per mile
c = constant price added for every taxi ride
Hence, the expression can be written thus :
y = 0.5x + 6.50Learn more : https://brainly.com/question/17225268