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3 years ago

A line with slope 3/8 passes through the point -4 0 find another point on the same line

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

Answer:

(0,3/2)

Step-by-step explanation:

y-y1=m(x-x1)

y-0=3/8(x- -4)

y= 3/8x+ 3/2

3/2= y intersept

(0,3/2)= second point

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Step-by-step explanation:

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3 years ago

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3 years ago

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

Can the sides of a triangle have lengths 2, 10, and 11?<br> yes<br> no

madreJ [45]

Answer:

Yes

Step-by-step explanation:

Triangle inequality theorem states that a triangle can exist if

a + b > c; a + c > b; b + c > a

a = 2; b = 10; c = 11

2 + 10 = 12; 12 > 11.

2 + 11 = 13; 13 > 10.

10 + 11 = 21; 21 > 2.

4 0

3 years ago

Jose trabaja en una capinteria su jhefe le `pidio que cortara 9metros en cuatro partes de la misma longitud cuantoi deberia medi

Anna11 [10]

Responder:

2 1/4 m; 225 cm

Explicación paso a paso:

Dado:

Cortar 9 metros en 4 partes de la misma longitud;

Por lo tanto,

9 metros / 4

= 2,25 metros

Por lo tanto, cada varilla será 2.25 = 2 1/4 m

En cm;

1 m = 100 cm

2,25 metros = x

x = 100 * 2,25

x = 225 cm

5 0

3 years ago

A line with slope 3/8 passes through the point -4 0 find another point on the same line​

A line with slope 3/8 passes through the point -4 0 find another point on the same line