What is the equation of the line that passes through the point(4,-7) and has a slope of -3?

Answers

Answer 1

Answer: Answer: y + 7 = -3(x-4)

Template Equation : y - y1 = m(x - x1)

y1 represents the y value in the coordinate (-7)
x1 represents x value in the coordinate (4)

M = slope

Thus y - (-7) = y + 7
Because negative times a negative is positive

Then you just put together to get the equation y + 7 = -3(x-4)

Hope this helps:)
Sorry if I made a typo or a mistake:)

Answer 2

Answer: Answer: y+7=-3(x-4) or y=-3x-5

So when you got a question like this, DONT USE SLOPE INTERCEPT FORM. Always use point slope form, which is y-y₁=m(x-x₁). Please refer to my work (the attached picture) for more in depth work.

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What is the sum of 2/10 and 3/10 in simplest form

Answers

The sum of 2/10 and 3/10 in simplest form is; 1/2

The sum of 2/10 and 3/10 is to be determined in simplest form;

Evidently, both fractions have the same denominator.

The question requires the sum and can be evaluated as follows;

2/10 + 3/10

since, the LCM of the denominators is 10; we then have;

=(2+3)/10.

=5/10

= 1/2.

Read more:

brainly.com/question/17544795

it would be 1/2.
2/10 + 3/10 = 5/10, then simplify.

I need help with number 3

Answers

You multiply everything inside the brackets by what's outside it:

24-30x + 9
33 - 30x

D is the answer.

The sum of two numbers are 62 and the difference is 18. Wjat are the numbers

Answers

The numbers are 40 and 22.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Let the numbers be m and n.

The two expressions are:

m + n = 62 ______(1)

m = 62 - n ______(2)

m - n = 18 ______(3)

From (2) and (3)

(62 - n) - n = 18

62 - n - n = 18

62 - 2n = 18

62 - 18 = 2n

n = 44/2

n = 22

Now,

m + n = 62

m = 62 - 22

m = 40

Thus,

m = 40 and n = 22.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ3

let the two numbers be x and y, then

x + y = 62 . . . . . . . (1)
x - y = 18 . . . . . . . .(2)

subtracting (2) from (1), we have:

2y = 44
y = 22

From (2), x + 22 = 62
x = 62 - 22 = 40

therefore, the two numbers are 40 and 22.

If you flip a coin 3 times what is the probability of getting 0 heads

Answers

the answer is 1/8 because since one toss would be 1/2 then 1/2 * 1/2 *1/2= 1/8

A rectangular garden has a perimeter of 48 cm and an area of 140 sq. cm. what is the width of this garden?

Answers

We can call a the width of the garden and b the length of the other side.
The perimeter of the garden is the sum of the two sides, and it is equal to 48 cm:
$a+b=48$ (1)
The area of the garden is the product between the two sides, and it is equal to $140 cm^2$ :
$a b = 140$

From (1), we find
$b=48 -a$
And by substituting this into (2)
$a(48-a)=140$
$a^2-48a+140 =0$
which gives two solutions:
$a=44.9$ , to which corresponds $b=48-a=48-44.9=3.1$
$a=3.1$ , to which corresponds $b=48-a=48-3.1=44.9$

So, the width of the garden is $44.9 cm$ while the length of the other side is $3.1 cm$ .

The function b(x) = 2x − 5 determines how many bags of dog food need to be purchased for an animal shelter, where x is the number of dogs at the shelter. The shelter manager uses m(b(x)) to find the amount of money to bring for the dog food purchase. The function m(x) = 3x + 1. Solve for how much money to bring when there are 10 dogs in the shelter.

Answers

b (x) 10×-b because b times equals two times minus five equals to b times two times minus five

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