Answer:
5
Step-by-step explanation:
distance formula= radical[(x_2 - x_1)^2 + (y_2 - y_1)^2]
= radical[(1-5)^2 + (6-9)^2]
= radical(16+9)
= radical(25)
= 5
5.
Write an equation of the line that passes through (4,−1) and is parallel to the line y=3x+7.
The equation of the line that passes through (4,−1) and is parallel to the line y=3x+7 will be y = 3x - 13.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that line that passes through (4,−1) and is parallel to the line y = 3x+7. If the line is parallel then the slope will be equal to the parallel line.
m = 3
The equation of the line will be written as,
y = 3x + c
The y-intercept will be calculated as,
y = 3x + c
-1 = ( 3 x 4) + c
c = -13
The equation will be,
y = 3x - 13
Therefore, the equation of the line that passes through (4,−1) and is parallel to the line y=3x+7 will be y = 3x - 13.
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what is 5+5×a
if a=6
Answer:
35
Step-by-step explanation:
5+(5)(6)
=5+30
=35
Grace measured a line to be 15.6 inches long. If the actual length of the line is 15.3
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
The percentage error of the measurement, to the nearest tenth of a percent 2.6%.
Given, Grace measured a line to be 15.6 inches long.
The actual length of the line is 15.3 inches.
Percentage error of the measurement = ?
Error in the measurement = 15.6 - 15.3
= 0.3 inches
Percentage error = 0.4 ÷ 15.3
= 0.02614 × 100
= 2.6%
The percentage error = 2.6%
Hence the percentage error is 2.6% .
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Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2.7) and (-1,5)
Answer:
The equation in the slope-intercept form will be:
y = -2x + 3Step-by-step explanation:
Given the points
(-2, 7)(-1, 5)Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:7\right),\:\left(x_2,\:y_2\right)=\left(-1,\:5\right)[/tex]
[tex]m=\frac{5-7}{-1-\left(-2\right)}[/tex]
[tex]m=-2[/tex]
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
substituting m = -2 and the point (-2, 7) to find the y-intercept 'b'
y = mx+b
7 = -2(-2) + b
7 = 4 + b
b = 7-4
b = 3
so the y-intercept = b = 3
substituting m = -2 and b = 3 in the slope-intercept form of line equation
y = mx+b
y = -2x + 3
Thus, the the equation in the slope-intercept form will be:
y = -2x + 3The graph of f passes through (-2,7) and is perpendicular to the line whose equation is x= -16.
The equation of the function is
Answer:
y = 7
Step-by-step explanation:
x = -16 is a vertical line.
All lines perpendicular to a vertical line are horizontal lines. All horizontal lines have a slope of 0
so m = 0, y = 7, x = -2
y = mx + b
7 = 0(-2) + b
b = 7
so,
y = 0x + 7
y = 7
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
What do the slope and the y-intercept represent in context of this situation?
Answer:
y = 2x + 1
Step-by-step explanation:
The equation that models this situation is
y = 2x + 1.
The slope represents the amount of pages he completes every hour and the y-intercept represents how many papers George has already done.
need help asap
will mark you brainliest
Answer:
5^9
Step-by-step explanation:
Answer:
wow
Step-by-step explanation:
a group of college students eager to get to florida on a spring break drove the 750- mi trip with only minimum stops. they computed their average speed for the trip to be 55.0 mi/h. how many hours did the trip take?
The trip took 13 hrs . and 6 min .
Given : Distance of trip from starting point to end point = 750 mi
Avg . speed for trip = 55 mi / h
To find : how many hours did the trip take
Using formula for speed :
speed = distance / time
Substituting values in above formula ,
and let time = t .
55 = 750 / t
t = 750 / 55
t = 13 . 63
≈ 13 hrs . 6 min .
Hence , the trip took 13 hours approx .
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What type of solution does this equation have? *
3x + 7 = 3x - 2
no solution
one solution
Infinite many solutions
Mrs. Taft keeps inventory of the copy paper in the school copier room. Nine weeks ago, there were 150 reams of copy paper in the room. Now, there are 85 reams left. Which of the following two expressions are equivalent to the average weekly change in the number of reams of copy paper in the copier room over this time period?
Choices: -9/65, 9/-65, 65/-9, -65/9 (the negative for this one applies to both numbers.) and -65/-9
Answer:
-9/65
Step-by-step explanation:
please help this is due tmrw!
Answer:
3 games per year
Step-by-step explanation:
rate of change is (Y1-Y2)/(X1-X2)
X1: 2012
Y1: 12
X2: 2014
Y2: 18
So: (12-18)/(2012-2014)=(-6)/(-2)=3
Evaluate. Write your answer as a fraction or mixed number in simplest form. -7/2 divided by 1/2+1}=
The simplest from of this friction is -7/3
As per the question
The equation is
-7/2
/
{1/2+1}
We have to friction this in a simple form
-7/2 devided by 1/2+1(1/2+1)=3/2
=-7/2
/
3/2
=-7/2/3/2
=-7/2×2/3
=-7/3
The simplest friction of this equation is -7/3
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5a.) Evaluate f(2)
5b.) Evaluate f(4)
5c.) Evaluate f(-1)
5d.) Evaluate f(-2)
Answer:
You haven't wrote your full question please write full question than I can answer it .
A clothing store had 30 jackets. If j represents the number of jackets the store then sold, which expression can be used to determine the total number of jackets that were not sold?
A 30j
B 30/j
C 30-j
D 30+j
Answer:
30-j
Step-by-step explanation:
Start with 30, the store sold J
30-j is what the store would have left
Can someone help me please
Answer:
it really depends on what type of triangle it is but i would go with 12
g(3)= answer khan academy
Answer:
g(3) = 4
Step-by-step explanation:
for g(3) = ?......3 is the x value. So you would want to look for the point in which the x value would be 3 and then look at what the Y value would be for that point with the x value 3. The Y value is your answer.
hope this helps.
Which point on the graph best represents the location of (-45. - 7)?
ASAP
Answer:
I am sure it is the point N. I apologize if im wrong but the image quality is horrible. If I am wrong then it is O.
Which of the following is a step in simplifying the expression ?
Answer:
1
Step-by-step explanation:
50 pts!
If f(x) = 2x2 + 3, find f(3).
Answer:
probly f(x) = 7
Step-by-step explanation:
dk if I’m wrong
Answer:
x = 7
Step-by-step explanation:
a company plans a major investment and the amount of profit is uncertain, but researchers give the following estimate for distribution
Profit (in millions): 1 : 1.5 : 2 : 4 : 10 : {1 corresponds with 0.1, 1.5 with 0.2 etc}
Probability : 0.1 : 0.2 : 0.4 : 0.2 : 0.1 :
What is the expected value of the profit in millions?
Edit: its 3
Answer:
3 is definitely the right answer
Step-by-step explanation:
7 cm
3 cm
A square has the same perimeter as the rectangle.
What is the side length of this square?
I
Answer:
20 is the perimeter
20÷4=5
each side of a square is 5cm
Step-by-step explanation:
Hope it helps!!!
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A college basketball game is 40 minutes long. Derrick’s favorite player participated for 60% of last week’s game. How many minutes did the player participate?
BE QUICK PLEASE :)
Answer:
24 minutes
Step-by-step explanation:
Answer:
I'm pretty sure its 24 minutes
Sorry I don’t get this-
Answer:
for 2 you add all the numbers
for 3 you add all the numbers
for 4 you add all the numbers
Step-by-step explanation:
Solve this inequality for X.
81 – 11: < 55
OA. 1 > 21
I < 113
OB.
Ос.
3
OD.
I< -21
Answer:
infinity
pick any answer, its a trick question, it says, SOLVE INEAQUALY
the slope of graph below is shown? A-5/4 , B-5/4 , C-3/4, D-3?
Jonathan purchased 120 pieces of candy for Valentine's Day . He gives 2 pieces to each of his friends. When he finishes handing out candy he has 30 pieces left. How many friends did you give the candy to?
Answer:
45 friends
Step-by-step explanation:
Pomnoži dva broja:
5*5=
Answer:
5 * 5 = 25
Step-by-step explanation:
hope this helps you!
Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation
(-3,8): y = 1/3x -3
Answer:
y = -3x + 8
Step-by-step explanation:
The value -2 is a lower bound for the zeros of the function shown below.
f(x) = 4x^2 – 12x^2 – x+15
A. True
B. False
PLS HELP 15 POINTS AND I'LL GIVE BRAINLIEST! What can you notice about the circumcenter, incenter, orthocenter, and centroid of a triangle? What can you notice about their relationship?
Answer:
The centroid is always between the orthocenter and the circumcenter. The distance between the centroid and the orthocenter is always twice the distance between the centroid and the circumcenter. In obtuse triangles, the circumcenter is always outside the triangle opposite the largest