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2 years ago

Write an equation of the line that passes through a pair of points: (-3,1). (-2,-5)

Mathematics

1 answer:

Nat2105 [25]2 years ago

5 0

Answer:

$y=-6x-17$ (B)

Step-by-step explanation:

$y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\$

Plug in one of the two points for X and Y

(-3,1)

$1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17$

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During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist

ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484 miles

Let The distance drove by Lana = L miles

The distance drove by Tony = T

The distance cover by Mark = M

So , L + T + M = 484 miles

Now, The distance of Tony = $\frac{1}{3}$ of Lana distance

Or, T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or, M = 15 + L

Now.

L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or, 2 L + $\frac{L}{3}$ = 469

Or, $\frac{7 L}{3}$ = 469

Or, 7 L = 469 × 3

∴ L = $\frac{1407}{7}$

I.e L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony = $\frac{1}{3}$ × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles Answer

8 0

3 years ago

Which fraction is equal to 0.5 7

Andrei [34K]

14.25/25 I hope this helps

5 0

3 years ago

Helppppppppppppppppp meeeeeeeeeeeeeeeeee

EastWind [94]

Answer:

7. 163 pizzas

8. 4 pencils

Step-by-step explanation:

7. 1,956 divided by 12 equals 163

8. $\frac{829}{25}$ = 33 $\frac{4}{25}$

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2 years ago

Read 2 more answers

Evaluate la+b-cl, given a=5, b=_3, and c =-2

zloy xaker [14]

Answer:

Step-by-step explanation:

Assuming you meant to type b= -3, you would plug in 5 + -3 + -2 to equal 0. The answer would then be 0.

If b was supposed to be +3, then it would be absolute value of 5 + 3 + -2 to equal 6.

3 0

3 years ago

A function is defined as {(0,1),(2,3),(5,8),(7,2)}. Issac is asked to create one more ordered pair for the function. Which order

Hoochie [10]

4) (1,3)
This is because in order to keep the ordered pairs a function, x cannot repeat. 1 is the only x that has nor repeated. Hope this helps mate.

4 0

3 years ago