Find the slope of the line that passes through Point A $$(−5,7) and Point B $$(2,5), using the formula $$m=

Mathematics

1 answer:

tester [92]2 years ago

8 0

Answer:

slope = - $\frac{2}{7}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 5, 7 ) and (x₂, y₂ ) = (2, 5 )

m = $\frac{5-7}{2-(-5)}$ = $\frac{-2}{2+5}$ = - $\frac{2}{7}$

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Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for

Anuta_ua [19.1K]

Answer:

Function: $y=140+25x$

Amount earned for 10 hours of work: $\$390$

Step-by-step explanation:

Let be "x" the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

$140 is a fixed amount.
For each hour worked on the project, Luigi charges $25. This can be expressed as: $25x$

Then, the total amount he charges for a project is the sum of $140 and $25x$ . This can be represented with the following function:

$y=140+25x$

To calculate the amount of money earned for 10 hours of work, you must substitute $x=10$ into the function and evaluate. Then:

$y=140+25(10)\\\\y=390$

7 0

3 years ago

a teacher asked 3 pupils to choose any 2 digit number square it and then find the remainder after dividing the result by 7. Dori

gizmo_the_mogwai [7]

First write out all the two digit square numbers

4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81

Next divide all of them by 7

16/7 = 2 2/7 or 2 and 2 remainders
25/7 = 3 4/7 or 3 and 4 remainders
36/7 = 5 1/7 or 5 and 1 remainder
49/7 = 7
64/7 = 9 1/7 or 9 and 1 remainder
81/7 = 11 4/7 or 11 and 4 remainders

This tells us that the only possible remainders for a two digit square number divided by 7 are 1, 2 and 4
If Doris got 6 and Horace got 3, they must have made a mistake.

4 0

2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

BaLLatris [955]

Answer:

a₆ ≈ 25.284

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

8 ÷ 6 = $\frac{32}{3}$ ÷ 8 = $\frac{4}{3}$