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2 years ago

Write an equation of the line in slope- intercept form.

Mathematics

2 answers:

andrew11 [14]2 years ago

7 0

Answer:

$a)\ y=-\frac{4}{5}x -3$

Step-by-step explanation:

Slope (m) form: $\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-1}{0-(-5)} \\\\m=\frac{-4}{0+5} \\\\m=-\frac{4}{5}$

$y=mx+b\\y=-\frac{4}{5}x +b$

(-5, 1)

$y=-\frac{4}{5}x +b\\1=-\frac{4}{5}(-5) +b\\1=4+b\\-4-4\\-3=b$

$y=-\frac{4}{5}x -3$

Check your answer:

$y=-\frac{4}{5}x -3 \\1=-\frac{4}{5}(-5) -3\\1=4-3\\1=1$

This statement is true

Hope this helps!

dimaraw [331]2 years ago

5 0

Answer:

Step-by-step explanation:

becuase the 3 is negtive and the 4/5 so it A

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The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

1 year ago

Can you please help me with this question

Naily [24]

Answer:

Paid her: 24 because 14+6+4=24

Step-by-step explanation:

3 0

2 years ago

The question is show a dilation of a rectangle with a dilation of 8/3

miv72 [106K]

It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of 1212.

1) multiply both coordinates by scale factor(2⋅12,4⋅122⋅12,4⋅12)2)

2. Simplify(1,2)3)

3. Graph(if required)

5 0

3 years ago

CAN SOMEONE PLEASE HELP

Sunny_sXe [5.5K]

It is most probably 30

cause you add 24, 30, 36

then divide it by 3

that is how i learnt it

5 0

3 years ago

A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n? n =

ExtremeBDS [4]

Answer:

The value of n = -10

Step-by-step explanation:

Given the points

(3, n)

(4,0)

Finding the slope between (3, n) and (4,0)

$\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)$

As slope = 10

using the formula

Slope = [y₂ - y₁] / [x₂ - x₁]

so substituting the values

10 = [0 - n] / [4 - 3]

10 = -n / 1

10 = -n

n = -10

Therefore, the value of n = -10

8 0

2 years ago