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1 year ago

Slope = 2; (-1,4) Gghhhgggggghgehwjwjwjwjwjwjw

Mathematics

1 answer:

krok68 [10]1 year ago

8 0

The slope intercept form is given as y = 2x + 6

The general expression for slope intercept form is given as:

y = mx + c

where, m = slope

c = intercept

The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :

$(y-y_{1}) = m(x-x_{1})$ (1)

where ( $x_{1} , y_{1})$ = the coordinates of a point

m = slope of the line

putting the required values in equation (1) we get

(y - 4) = 2(x- (-1))

(y - 4) = 2(x+1) [As (-)*(-) = +]

y - 4 = 2x + 2

y = 2x + 2 + 4

y = 2x + 6

Thus the slope intercept form is y = 2x + 6

Learn more about slope intercept form here : brainly.com/question/19440459

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Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

Read 2 more answers

Fill in the blank.

Marrrta [24]

Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

20 * 6

Step-by-step explanation:

Given

Expression 1: 23 * 6 = (20 + 3) * 6

Expression 2: 23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property; The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6

7 0

2 years ago

A drawing of a rectangular garden is 5 inches and a width of 3.5 inches. The scale is 1 in: 3 ft. What is the length and width o

horrorfan [7]

5•3=15, 3.5•3=10.5....... the regular length of the length and width is :::::: LENGTH= 10.5 feet..... HEIGTH=15 feet

4 0

3 years ago

Kevin is 333 times as old as Daniel. 444 years ago, Kevin was 555 times as old as Daniel. How old is Kevin now?

My name is Ann [436]

Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.

We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.

We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:

$3D-4=5\cdot(D-4)$

Now let us solve our equation to find Daniel's present age.

$3D-4=5D-20$

$-4+20=5D-3D$

$16=2D$

$D=\frac{16}{2}=8$

Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.

$\text{Kevin's present age}=8\cdot3=24$

Therefore, Kevin is 24 years old now.

8 0

2 years ago

Read 2 more answers

Mr. Gonzalez has money in three different savings accounts. One pays 2.3% interest. The second offers 2.9% interest, and the thi

BlackZzzverrR [31]

So, I believe your correct answer is C. 2.3

5 0

3 years ago