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3 years ago

The slope of a line ST = 1. What is the value of y if S = (−5,−3) and T = (−1,y).

Mathematics

1 answer:

liubo4ka [24]3 years ago

3 0

Step-by-step explanation:

$m = \frac{rise}{run} \\m = \frac{y2 - y1}{x2 - x1} \\ 1 = \frac{y - ( - 3)}{ - 1 - ( - 5)} \\ 1( - 1 + 5) = y + 3 \\ 4 - 3 = y \\ 1 = y$

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Natalie is paid $2 more per hour than Travis when Natalie works for 40 hours and Travis works for 35 hours they aren't $755 betw

kari74 [83]

Travis earns 9 dollars per hour and Natalie earns 11 dollars per hour

4 0

3 years ago

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each

zheka24 [161]

ANSWER

$16,384

EXPLANATION

From the question we have that,

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.

This forms a geometric sequence,

$1,2,4,...$

The first term of this sequence is

$a = 1$

The common ratio is

$r = \frac{2}{1} = \frac{4}{2} = 2$

The general term of a geometric sequence is given by the formula:

$f(n) = a {r}^{n - 1}$

To find the 15th term, we plug in a=1, r=2 and n=15.

$f(15) = 1 {(2)}^{15 - 1}$

$f(15) = {2}^{14}$

$f(15) = 16384$

The amount he will save on the 15th day is $16,384

4 0

3 years ago

A dealer sold 500 tennis racquets some were sold at $20 each and the rest were sold at $45 each. The total receipts from these s

arlik [135]

Answer:

He sold 100 rackets for $ 20

Step-by-step explanation:

To start, we have to make 2 equations, one that represents the number of rackets and the other the money

x + y = 500

x * 20 + y * 45 = 20000

we clear x in the first equation

x + y = 500

x = 500 - y

we replace x in the second equation with (500 - y)

x * 20 + y * 45 = 20000

(500 - y) * 20 + y * 45 = 20000

10000 - 20y + 45y = 20000

-20y + 45y = 20000 - 10000

25y = 10000

y = 10000/25

y = 400

we replace x in the first equation with the value obtained

x = 500 - y

x = 500 - 400

x = 100

He sold 100 rackets for $ 20

8 0

3 years ago

Read 2 more answers

Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

7 0

3 years ago

Fernanda has a collection of 200 seashells from corpus christi she gage her sister one-fifth of her collection how many seashell

8090 [49]

1/5 of 200 is 40 which mean she gave 40 away and she has a 160 left

7 0

3 years ago