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maksim [4K]
2 years ago
11

Write an equation of the line that passes through the point (4, –5) with slope 2.

Mathematics
2 answers:
Slav-nsk [51]2 years ago
8 0

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

subtract 8 on both sides

-13 = b

Jlenok [28]2 years ago
5 0

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

slope = 2

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

-8    -8

------------------

-13 = b

y = 2x - 13, in other words --> y + 5 = 2(x−4)

So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).

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Bridget buys a pair of shoes that cost $89.99. She has a coupon for 30% off. How much does she pay for the shoes?
aleksklad [387]

Answer:

$20.40

Step-by-step explanation:

6 0
2 years ago
Please help me asap i will give brainiest and all my points
Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

16^{5}+215 by 33

1,048,576 + 215

1,048,791

We now then divide the total amount with 33.

\dfrac{1,048,576}{33}

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

51^{7}-51^{6} by 25

897,410,677,851 - 17,596,287,801

879,814,390,050

We now then divide the total amount with 25.

\dfrac{879,814,390,050}{25}

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. 51^{7}-51^{6} IS divisible by 25.

Next on we have:

5^{5}-5^{4} +5^{3} by 7

3,125 - 625 + 125

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

2,500 + 125

2,625

We now then divide the total amount with 7.

\dfrac{2,625}{7}

= 375

The total value did NOT return a decimal point, therefore making the equation true. 5^{5}-5^{4} +5^{3} IS divisible by 7.

7^6+7^5-7^4 by 11

117,649+16,807-2,401

134,456-2,401

132,055

We now then divide the total amount with 11.

\dfrac{132,055}{11}

= 12,005

The total value did NOT return a decimal point, therefore making the equation true. 7^6+7^5-7^4 IS divisible by 11.

Last but not the least:

5^{23}-5^{21} by 24

11,920,928,955,078,125-476,837,158,203,125

11,444,091,796,875,000

We now then divide the total amount with 24.

\dfrac{11,444,091,796,875,000}{24}

= 476,837,158,203,125

The total value did NOT return a decimal point, therefore making the equation true. 5^{23}-5^{21} IS divisible by 24.

5 0
3 years ago
What is the slope of a line perpendicular to y = -7/4x?
dexar [7]
A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
That means that if the product of slopes of two lines is -1, the two lines are perpendicular.

Here, y1=-7/4x, or m=-7/4
The perpendicular should have a slope of -1/m=-1/(-7/4)=4/7
6 0
3 years ago
(–6)² – (–7)²<br><br> I need a step by step process.
Sati [7]
Is the = -13. Is the response
8 0
2 years ago
Kylie borrowed a book from the library the library charge to fix rental for the book in late fee for every day the book was over
irinina [24]

Answer:

B. The fixed rental for the book

Step-by-step explanation:

Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:

2 + 0.25x

What does the constant term of the expression represent? (1 point)

A. The late fee for the book

B. The fixed rental for the book

C. The number of books borrowed

D. The number of days the book was overdue

Solution

Given expression

2 + 0.25x

The constant term is 2 which represent the fixed rental fee for the book

The term 0.25x represent the amount charged for late fee for x days

$0.25 is charge per day after due date

x = number of due date

6 0
3 years ago
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