Mathematics: Vladimir says that the equation of the line passes through point (-5,-3) and (10,9) Robyn says that the line passes through the points (-10,-7) and (-15,-11).who is correct

Vladimir says that the equation of the line passes, №8953458, 31.10.2022 18:32

Mathematics

Vladimir says that the equation of the line that passes through points (-5,-3) and (10,9) is y=4/5x+1. robyn says that the line passes through the points (-10,-7) and (-15,-11). who is correct? a)only vladimir b)only robyn c)both vladimir and robyn d)neither vladimir nor robyn

Step-by-step answer

P Answered by PhD

The slope given by Vladmir's points = (9--3)/10--5) = 12/15 = 4/5
so its equation is
y - y1 = (4/5)(x - x1) where (x1,y1) = (10,9) giving:-
y - 9 = (4/5)(x - 10)
y = 4/5 x =1 which is the required equation

So Vladimir is right.

Testing if Robyn is right:-
Plug in his values:-
-7 = 4/5*-10 + 1
-7 = -7 so that point is on the line

-11 = (4/5) * -15 + 1
-11 = -11 so this point is also on the line

- c) Both are right

Mathematics

Vladimir says that the equation of the line that passes through points (-5,-3) and (10,9) is y=4/5x+1. robyn says that the line passes through the points (-10,-7) and (-15,-11). who is correct? a)only vladimir b)only robyn c)both vladimir and robyn d)neither vladimir nor robyn

Step-by-step answer

P Answered by PhD

The slope given by Vladmir's points = (9--3)/10--5) = 12/15 = 4/5
so its equation is
y - y1 = (4/5)(x - x1) where (x1,y1) = (10,9) giving:-
y - 9 = (4/5)(x - 10)
y = 4/5 x =1 which is the required equation

So Vladimir is right.

Testing if Robyn is right:-
Plug in his values:-
-7 = 4/5*-10 + 1
-7 = -7 so that point is on the line

-11 = (4/5) * -15 + 1
-11 = -11 so this point is also on the line

- c) Both are right

Mathematics

Vladimir says that the equation of the line that passes through points (-5,-3) and (10,9) is y=4/5x+1 robyn says that the line passes through the points (-10,-7) and (-15,-11) who is correct?

Step-by-step answer

P Answered by PhD

28

Robyn and Vladimir both are correct.

Step-by-step explanation:

Vladimir says that the equation of the line the passes through points (-5, -3) and (10,9) is y = $\frac{4}{5}$ x + 1

Let's find the equation of line

Slope of the line passing through ( -5, -3 ) and (10, 9 )

$m=\frac{y-y'}{x-x'}=\frac{9+3}{10+5}=\frac{12}{15}=\frac{4}{5}$

So equation will be y = $\frac{4}{5}$ x + c

Since the line passes through (-5, -3)

so (-3) = $\frac{4}{5}$ x (-5) + c

(-3) = -4 + c

c = -3 +4 = 1

So equation should be y = $\frac{4}{5}$ x +1

Therefore, Vladimir is correct.

Robyn says this line is passing through (-10,-7) and (-15, -11)

Slope $m=\frac{y-y'}{x-x'}=\frac{-11+7}{15+10}=\frac{-4}{-5}=\frac{4}{5}$

equation is y = $\frac{4}{5}$ x + c

Since this line passes through (-10 -7)

so (-7) = $\frac{4}{5}$ x (-10) + c

-7 = -8 + c ⇒ c = 8 - 7 = 1

Equation of the line will be y = $\frac{4}{5}$ x + 1

So Robyn and Vladimir both are correct.

StudenGPT

Vladimir says that the equation of the line that passes through points and is . Robyn says that the line passes through the points and . Who is correct? only Vladimir only Robyn both Vladimir and Robyn neither Vladimir nor Robyn

Step-by-step answer

P Answered by Studen AI

1

To determine who is correct, we can check if the equation of the line passes through the given points. Let's start with Vladimir's equation: $y = \frac{4}{5}x + 1$ and the points $(-5, -3)$ and $(10, 9)$. For the point $(-5, -3)$, we can substitute $x = -5$ and $y = -3$ into the equation: $-3 = \frac{4}{5}(-5) + 1$. Simplifying this equation, we have: $-3 = -4 + 1$, $-3 = -3$. The equation holds for the point $(-5, -3)$. Now, let's check the equation for the point $(10, 9)$: $9 = \frac{4}{5}(10) + 1$. Simplifying this equation, we have: $9 = 8 + 1$, $9 = 9$. The equation holds for the point $(10, 9)$. Since Vladimir's equation passes through both given points, we can conclude that Vladimir is correct. Therefore, the correct answer is "only Vladimir."

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Step-by-step answer

P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics

Use the X method to find the solutions of6x2 + 2x – 20 = 0.

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Vladimir says that the equation of the line passes through point (-5,-3) and (10,9) Robyn says that the line passes through the points (-10,-7) and (-15,-11).who is correct

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