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3 years ago

What is the approximate length of RP? Round to the

Mathematics

1 answer:

suter [353]3 years ago

5 0

6.1 units is the correct answer

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: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slop

Ierofanga [76]

Answer:

slope: $\bold{m=3}$

equation: $\bold{y-2=3(x-1)}$

Step-by-step explanation:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(1,\,2)\ \implies\ x_1=1\,,\ y_1=2\\(0,\,-1)\ \implies\ x_2=0\,,\ y_2=-1\\\\m=\dfrac{-1-2}{0-1}=\dfrac{-3}{-1}=3$

$y-y_1=m(x-x_1)$ - point-slope form of Equation of the Line

$x_1=1\,,\ y_1=2\,,\ m=3\\\\equation:\\{}\qquad\qquad y-2=3(x-1)$

8 0

3 years ago

How is this number read? 21.095

UkoKoshka [18]

Answer:

twenty-one and ninety-five thousandths

4 0

3 years ago

Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add

Delicious77 [7]

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

$Initial\ Fee = \$57$

$Additional = \$0.08$ per mile

Plan 2:

$Initial\ Fee = \$50$

$Additional = \$0.10$ per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

$y = 57 + 0.08 * x$

Plan 2:

$y = 50 + 0.10 * x$

To solve (a), we equate both plans together; i.e.

$y = y$

$57 + 0.08x = 50 + 0.10x$

Collect Like Terms

$0.08x - 0.10x= 50 - 57$

$-0.02x= -2$

Solve for x

$x = -2/-0.02$

$x = 100$

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

$y = 57 + 0.08 * x$

$y = 57 + 0.08 * 100$

$y = 57 + 8$

$y = 65$

Hence, the amount is $65

7 0

2 years ago

An=−2+32(n−1) What is the 21st term of the sequence?

OLEGan [10]

Answer:

a₂₁ = 638

Step-by-step explanation:

substitute n = 21 into the explicit formula

a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638

5 0

2 years ago

8. If k = log, 3 then log, 48 = 16 (1) 2k +3 (3) k +8 (2) 3k +1 (4) k +4

vekshin1

assuming you means k = log_2(3) [as log(2)3 is the same thing as 3log(2) due to multiplication being commutative]

given log(ab) = log(a) + log(b)

log_2(48) = log_2(3) + log_2(16)

5 0

3 years ago