All categories

3 years ago

HELLPPPP!!!! Find the distance between the lines

Mathematics

2 answers:

barxatty [35]3 years ago

7 0

44.9 and 23.87 thank luv xoxo

In-s [12.5K]3 years ago

7 0

First you have to change "-2x+6y-9=0" into slope intercept form (y=mx+b).

Add the -9 to 0, to get (-2x+6y=9).

Now add -2x to the 9, to get (6y= -2x+9). Since -2x and 9 aren't like terms.

Divide 6 on both sides to get (y=-2/6x+9).

Plot this on a graph as shown above. (16.5, 3.5)

Answer is: D) 3.35, since it's closer.

<u>If my math is off please let me know.</u>

You might be interested in

Simplify. 2x (3-1) + 3

Tanzania [10]

Answer:

4x+3

2x (3-1) + 3

2x(2)+3

4x+3

7 0

4 years ago

What is the area of the figure?

Archy [21]

Answer:

The total area= area of the rectangle+ area of triangle

Area of rectangle =base *height =5*(1/3)=5/3

Area of triangle=0.5 *base* height = 3.66*0.5*2= 3.66

The total area= 3.66+5/3 =5.33 feet^2

6 0

3 years ago

When records were first kept (t=0), the population of a rural town was 260 people. During the following years, the population gr

Firdavs [7]

Answer:

(a) The population after 15 years is 2678.

(b)Therefore the population P(t) at any time t>0 is

$P(t)= 45t+30 {t^{\frac32}}+260$

Step-by-step explanation:

Given that,

The population grew at a rate of

$P'(t)=45(1+\sqrt t)$

Integrating both sides

$\int P'(t) dt=\int 45(1+\sqrt t)dt$

$\Rightarrow \int P'(t) dt=\int (45+45\sqrt t)dt$

$\Rightarrow \int P'(t) dt=\int 45\ dt+\int 45\sqrt t\ dt$

$\Rightarrow P(t)= 45t+45\ \frac{t^{\frac12+1}}{\frac12+1}+c$ [ c is integration constant]

$\Rightarrow P(t)= 45t+45\ \frac{t^{\frac32}}{\frac32}+c$

$\Rightarrow P(t)= 45t+45\times\frac 23 \times {t^{\frac32}}+c$

$\Rightarrow P(t)= 45t+30 {t^{\frac32}}+c$

When t=0 , P(0)= 260

$\therefore 260= 45\times0+30\times {0^{\frac32}}+c$

$\Rightarrow c=260$

$\therefore P(t)= 45t+30 {t^{\frac32}}+260$

Therefore the population P(t) at any time t>0 is

$P(t)= 45t+30 {t^{\frac32}}+260$

To find the population after 15 years, we need to plug t=15 in the above expression.

$P(15)=( 45\times 15)+30( {15^{\frac32}})+260$

≈2678

The population after 15 years is 2678.

5 0

3 years ago

What does 7/8 × 9/10 equal

Hoochie [10]

(7/8)*(9/10)=7*9/(8*10)=63/80

7 0

3 years ago

Read 2 more answers

A fish and game worker catches, tags, and releases 120 trout in a lake. Later, she catches 84 trout and finds tags on 30 of them

goldenfox [79]

The final answer is B because you just add all three together. Hope you get it!

5 0

3 years ago