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3 years ago

Which is the equation for the line that passes through (3,5) and has a slope of -5

Mathematics

2 answers:

algol [13]3 years ago

4 0

You just have to study more

-Dominant- [34]3 years ago

4 0

Answer:

Step-by-step explanation:

Y= -5x+20

You go 3 steps to the left to the origin, and because the slope is-5 you add 3 times 5 to the y-value

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Which of the following reconciling items on a bank reconciliation need to be recorded in the

Sonbull [250]

Answer:

a, b, and d

Step-by-step explanation:

7 0

3 years ago

Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

8 0

2 years ago

May someone help me out with this question please

mario62 [17]

You would have 60 different types of pens with this brand. You need to multiply 12 and 5 (because you have 12 different colors for every type of tip, so you have 5 groups of 12).

8 0

3 years ago

What (3×5^2)/(5)^2 equal? Plz answer fast and with work and I will give brainliest

balu736 [363]

Answer:

The answer is 3.

Step-by-step explanation:

Given that the Indices Law is,

${a}^{m} \div {a}^{n} = {a}^{m - n}$

${a}^{0} = 1$

So the expression is :

$3 \times {5}^{2} \div {5}^{2}$

$= 3 \times {5}^{2 - 2}$

$= 3 \times {5}^{0}$

$= 3 \times 1$

$= 3$

4 0

3 years ago

Help please!! What is the distance between these points? (-7, 6) and (3, 6)

Licemer1 [7]

Answer:

Step-by-step explanation:

sqrt root (x2-x1)^2 + (y2-y1)^2

4 0

3 years ago