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3 years ago

Which is an equation in point slope form of the line that passes through the points (7 -8) and has a slope of -3

Mathematics

1 answer:

Nataly [62]3 years ago

3 0

Y+8 = -3(x-7)
Distribute the -3
y +8 = -3x +21
Subtract 8 from both sides
Y = -3x +21 -8
Y= -3x+13

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baherus [9]

Answer:

So length of top of table is 3x-7 inches.

Step-by-step explanation:

Here we are given that the top of the table has a width that is given by 2x inches.

The area of the top is given by:

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Now the top of the table is of the shape of rectangle and area of rectangle is given by:

$A=l*w$

where l is length of the table and w is width of the table.

Plugging the values of A and w in the formula we have:

$6x^{2}-14x=l*2x$

Dividing by 2x,

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IrinaVladis [17]

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2 years ago

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Anastasy [175]

Answer:

$a_8=-128x^8-384x^7$

Step-by-step explanation:

The terms of the sequence are:

$x+3,-2x^2-6x,4x^3+12x^2,...$

We can rewrite the terms in factored form to get;

$x+3,-2x(x+3),4x^2(x+3),...$

We can see that the subsequent terms are obtained by multiplying the previous term by $-2x$ . This is called the common ratio.

Therefore the first term of this geometric sequence is $a_1=x+3$ and the common ratio is $r=-2x$ .

The nth term of a geometric sequence is given by: $a_n=a_1(r^{n-1})$ .

Let us substitute the first term, the common ratio, and $n=8$ to obtain:

$a_8=(x+3)(-2x)^{8-1}$

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$a_8=-128x^7(x+3)$

$a_8=-128x^8-384x^7$

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Step-by-step explanation:

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