Triangle MNO has vertices with coordinates (–8, 2), (–5, 5), and (5, – 2).
Which of these equations represents the line that passes through point N and is perpendicular to the line passing through points O and M?
y = x + 3
y = x - 3
y = -x + 3
y = -x - 3
Answer:
i think its c
Step-by-step explanation:
The equation of a straight line is represented as: [tex]y = mx + c[/tex]
The equation of the line is: [tex](c)\ y = -x +3[/tex]
The coordinates are given as:
[tex]M = (-5,5)[/tex]
[tex]N = (5,-2)[/tex]
[tex]O = (-8,2)[/tex]
First, we calculate the slope of line MO using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{2-5}{-8--5}[/tex]
[tex]m = \frac{-3}{-3}[/tex]
[tex]m = 1[/tex]
The line that passes through N is perpendicular to MO.
This means that, the slope (m2) of the line is:
[tex]m_2 = -\frac 1m[/tex]
So, we have:
[tex]m_2 = -\frac 1{1}[/tex]
[tex]m_2 = -1[/tex]
The equation of the line is then calculated as:
[tex]y = m_2(x - x_1) + y_1[/tex]
Where:
[tex]m_2 = -1[/tex]
[tex]N = (5,-2)[/tex] --- [tex](x_1,y_1)[/tex]
So, we have:
[tex]y = -1(x -5) - 2[/tex]
[tex]y = -x +5 - 2[/tex]
[tex]y = -x +3[/tex]
Hence, the equation of the line is: [tex](c)\ y = -x +3[/tex]
See attachment for the graph of the lines
Read more about equations of straight lines at:
https://brainly.com/question/21627259
OmZC > mZE > m2D
OmZD > mZC > MZE
mZD > mZE > mZC
OmZE > m2C> mZD
OmZC > m D > mE
mZE > m D > m_C
Answer:
Step-by-step explanation: Answer to ol in your answer.) What are mZA, mZB, and mZC? mZA= (Round to one decimal place as needed. Do not include the degree. I hope this either gives you a quick hint and a tip. Thank you and have a good day.
3(5-x)<5x-17
x>-4
x<-4
x<4
x>4
Answer: x > 4
.........................
Answer:
X< -4
Step-by-step explanation:
15 - 3x < 5x -17
15 - 17 < - 3x - 5x
-2 < 8x
X= - 4
You received $112 in all selling paintings. You sold one painting for $27
and the rest for $ 17 each. Solve the equation below to find .x, the number
of $17 paintings you sold.
17x + 27 = 112
Answer:
The answer is 5 paintings
Step-by-step explanation:
112 = 27 + 17x
112 - 27 = 85
85/17 = 5
5 paintings
Hopefully this helps you
pls mark brainlest
Answer:
5
Step-by-step explanation:
17x=112-27; 17x=85; x=85÷17; x=5
what is 5 + 5 I need help on question 5 + 5 + 6 + 7 - 8 - 5
Answer:
10
Step-by-step explanation:
Answer:
5+5=10
Step-by-step explanation:
use addition to add 5 and 5
How many hectograms are in 45 centigrams?
Answer:
0.0045 hectograms are in 45 centigrams
Step-by-step explanation:
please help! will give brainliest!! financial lit.!! it's a choose all that apply kind of question btw!!
Answer:
:) hey kaydence
Step-by-step explanation:
It's B and D.
Hope this helps.
Use the Pythagorean Theorem to find the missing length. Round your answer to the
nearest tenth.
In this triangle it is clear that the unknown side x is the hypotenuse of both the triangles that are being formed . So , let us take any one of the triangles and with it's length let us find the length of their hypotenuse which is side x .
= 5² + 5² = x² ( according to the pythagorean theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 25 + 25 = x²
= 50 = x²
= 7.0710678119 = x
But they have given that we have to round it off to the nearest tenths , so ;
= 7.0710678119 will be equal to = 7.10
= 7.1 = x
Therefore , the length of the unknown side x = 7.1 .
Farhan says that 26.97 is equal to 27 when rounded off to 1 decimal place because he thinks that 27.0 is the same as 27. Do you agree with him? Explain your answer. Plz quickly give the answer, I will mark you as brainlist if you solve it for me with steps.
I need help figuring this question out?
Answer:
He has to use the foil method to combine the terms. But before that it would be best if he got rid of the negative exponents by taking the inverse of the number which moves the negative exponent to the denominator making it positive and leaving a 1 in the numerator.
Step-by-step explanation:
Solve 6y=54. What's the value of y?
Answer:
Y=9
Step-by-step explanation:
6y = 54
Just simply divide and get y by itself.
6/6 y = 54/6 —> y = 9
Answer:
y equals 9.
Step-by-step explanation:
Select the conic section that represents the equation. y = 2x^2 + 7
Answer:
x intercept: none
y intercepts: (0, 7)
Step-by-step explanation:
Answer:
Parabola
Step-by-step explanation:
Write an equation of the line that passes through (2,−5) and is parallel to the line 2y=3x+10
Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
[tex] \frac{2}{2} y = \frac{3}{2} x + \frac{10}{2} [/tex]
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
[tex]y = \frac{3}{2} x - 8[/tex]
If the side lengths of a Triangle are: 2t, t, 3t, and the perimeter is equal to 60 meters; what is the value of t? a 20 b 12 c 10 d 6
Answer:
x equals 10
Step-by-step explanation:
so so you if the perimeter is 60 and when you measure perimeter you add up all these sides so you would add 2t + t + 3t = 60 then you would divide by 6 and get 10.
which of the following shows why 6 1/3 is equivalent to
Answer:
equivilent to what?
Step-by-step explanation:
Evi’s watch is water-resistant up to -15 feet. Mateo’s watch is water-resistant up to 8 times the depth of Evi’s watch. Mateo’s watch is water-resistant to what maximum depth?
Answer:
-120 feet
Step-by-step explanation:
Evi's is -15 feet, and Mateo's is 8 times that, so you multiply -15 by 8, and get -120 feet
Solve the system below by substitution. Give your answer as an ordered pair.
y = 6r + 23
2x + 5y = -13
Which of the following mixed numbers is equivalent to 12.16?
Answer:
12 4/25 is equivalent to 12.16 .
EASYYYY POINTS. PLEASE HELP
1. a)
2x + (-3)
_______________
x | 2x² | -3x |
+ _______________
1 | 2x | -3 |
-----------------------------
(2x - 3) (x + 1) = 2x² - 3x + 2x - 3 = 2x² - x - 3
b)
x + 2
____________
x | x² | 2x |
____________
3 | 3x | 6 |
-----------------------
(x + 2) (x + 3) = x² + 2x + 3x + 6 = x² + 5x + 6
Two step equations x−17/3=−3
Answer:
[tex]\boxed {x = \frac{8}{3}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x - \frac{17}{3} = -3[/tex]
-Add both sides by [tex]\frac{17}{3}[/tex] and convert [tex]-3[/tex] to a fraction [tex]-\frac{9}{3}[/tex]:
[tex]x - \frac{17}{3} + \frac{17}{3} = -3 + \frac{17}{3}[/tex]
[tex]x = -\frac{9}{3} + \frac{17}{3}[/tex]
-Since both [tex]-\frac{9}{3}[/tex] and [tex]\frac{17}{3}[/tex] have the same denominator, then you would add the numerators:
[tex]x = \frac{-9 + 17}{3}[/tex]
[tex]\boxed {x = \frac{8}{3}}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\frac{8}{3}[/tex].
What is a number with exactly 2 factors and what is a number with more than 2 factors
What is another way to write: 2-(-2)
Answer:
2+2
Step-by-step explanation:
Two negatives together make a positive.
Answer:
2+2
Step-by-step explanation:
A positive minus a negative is a positive. Think of the two minus signs turning in to one plus sign.
What is the slope between the points (-10, 15) and (-13, 5)? What is the equation of the line in point slope form?
Answer:
y-15=-10/3 (x+10)
Step-by-step explanation:
Point a(10,9) and point b(-2,3). What are the coordinates of the point of the way from a to b?
Answer:.
....
Step-by-step explanation:
1. nine more than thirty divided by ten
Answer:
3.9
Step-by-step explanation:
nine more than thirty=39
39/10=3.9
I can define continuous data as:
Answer:
Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.
pls help me pls! thanks! will give brainliest
Answer:
4.5 is the range
Step-by-step explanation:
Ok, so it's asking for range, Range means The Highest number minus the smallest number.
What is the highest number? it's "2.3"
What is the lowest number? it's "-2.2"
so subtract those numbers and you get your answer!
Wait... why is the range 4.5? well, you do 2.3-(-2.2) when there are 2 minuses, you switch it to a + sign. so, 2.3+2.2=4.5!
I need help fast please
Answer:
K= 18
Step-by-step explanation:
1 and 8 are exact opposites so they equal eachother
so
3k-7=5k+29
subtract 3k to 5k and add 7 to 29
2k=36
then divide 36 by -2
so K = 18
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis
Answer:
y - 1 = 1/2(x -5)
Just took the test, hope this helps!
Answer:
above is correct the letter answer is C on edg2020
Step-by-step explanation:
edg2020
144 students enter a spelling bee, but only \frac{1}{6}
6
1
of the group will make into the semi-final round, and only \frac{2}{3}
3
2
that group will make into the final round. How many students will enter the final round of the spelling bee?
Answer: 16 students will enter the final round of the spelling bee.