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3 years ago

7

Find the equation of the line.

2 answers:

vesna_86 [32]3 years ago

6 0

Answer:

y = 2/3x + 4

Step-by-step explanation:

The rise of the line is 2 and the run is 3. That means that our slope for this line in particular is 2/3!

The y intercept is positive 4!

malfutka [58]3 years ago

5 0

Answer:

y = 2/3x + 4

Step-by-step explanation:

Start off with the linear equation

y = mx+ b

Find the slope with two points:

(3,6), (-6,0)

y2-y1/x2-x1

-6/-9 = 2/3

y = 2/3 x + b

6 = 2 + b

b = 4

y = 2/3 x + 4

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Show work and Factor 4x^2+xy-18y^2

grigory [225]

Answer:

$4x^2+xy-18y^2=(4x+9y)\,(x-2y)$

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

$(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2$

so we want the following to happen:

$a\,c = 4\\ad+bc=1\\bd--18$

Notice as well that $ad+bc =1$ means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product $bd=-18$ , then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that $a\,\,and \,\,c$ are positive.

We can then try combinations for $a\,\,and \,\,c$ such as:

$a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4$

Just by selecting the first one $(a=4;\,\,c=1)$

we get that $4d_b=1\\b=-4d-1$

and since

$bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0$

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

$d=-18/(-2)\\d=9$

Now we have a good combination of parameters to render the factoring form of the original trinomial:

$a=4; \,\,b=9;\,\,c=1;\,\,d=-2$

which makes our factorization:

$(4x+9y)\,(x-2y)=4x^2+xy-18y^2$

6 0

3 years ago

A sequence is represented by the formula an=-5+a(n-1). If a4 = 20, what is the 6th term in the sequence?

Citrus2011 [14]

Answer:

<u>10</u>

Step-by-step explanation:

Formula :

aₙ = -5 + aₙ₋₁

Finding a₅ :

a₅ = -5 + a₄
a₅ = -5 + 20
a₅ = 15

Finding a₆ :

a₆ = -5 + a₅
a₆ = -5 + 15
a₆ = <u>10</u>

4 0

2 years ago

Expand the linear expression – 7 (4x + 5) -28x - 35 -11x + 2 11x + 12 -28x + 12

Scilla [17]

Answer:

YOU GOT THIS!!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

When 80% of a number is added to the number, the result is 216. What is the number?

azamat

80%x + x = 216
0.8x + x = 216
1.8x = 216
x = 216/1.8
x = 120

hope this help

8 0

3 years ago

Can someone send me proxys that aren't blocked by iboss

11111nata11111 [884]

Answer:

unblock miniproxy.com

Step-by-step explanation:

8 0

3 years ago