Pls help I’ll brainlest ASAP

Find the factors of 9x^2 - 3x -9

Leto [7]

Answer:

3(x^2-x-3)

Step-by-step explanation:

9x^2-3x-9

3(3x^2-x-3)

Proof:

3(3x^2-x-3) by distributive method

9x^2-3x-9

Hope this helps ;) ❤❤❤

7 0

3 years ago

Read 2 more answers

What are expressions for MN and LN? Hint Construct the altitude from M to LN.

Nikitich [7]

The question is missing the figure. So, it is in the atachment.

Answer: MN = x $\sqrt{2}$ LN = $\frac{x}{2}.(\sqrt{2} + \sqrt{6} )$

Step-by-step explanation: The first figure in the attachment is the figure of the question. The second figure is a way to respond this question by tracing the altitude from M to LN as suggested. When an altitude is drawn, it forms a 90° angle with the base, as shown in the drawing. To determine the other angle, you have to remember that all internal angles of a triangle sums up to 180°.

For the triangle <u>on the left</u> of the altitude:

45+90+angle=180

angle = 45

For the triangle <u>on the right</u>:

30+90+angle=180

angle = 60

With the angles, use the Law of Sines, which is relates sides and angles, as follows:

$\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}$

For MN:

$\frac{x}{sin(30)} = \frac{MN}{sin(45)}$

MN = $\frac{x.sen(45)}{sen(30)}$

MN = x $\sqrt{2}$

For LN:

$\frac{LN}{sen(105)} =\frac{x}{sin(30)}$

LN = $\frac{x.sin(105)}{sin(30)}$

We can determine sin (105) as:

sin(105) = sin(45+60)

sin(105) = sin(45)cos(60) + cos(45)sin(60)

sin(105) = $\frac{\sqrt{2} }{2}.\frac{1}{2} + \frac{\sqrt{2} }{2}.\frac{\sqrt{3} }{2}$

sin(105) = $\frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}$

LN = $\frac{x.sin(105)}{sin(30)}$

LN = $x.(\frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4} ) .2$

LN = $\frac{x}{2}.(\sqrt{2} + \sqrt{6} )$

The expressions for:

MN = x $\sqrt{2}$

LN = $\frac{x}{2}.(\sqrt{2} + \sqrt{6} )$

6 0

3 years ago

In a survey about new bike paths, which group is least likely to be a biased sample

tatuchka [14]

Answer:

i would say randomly picked dog walkers.

Step-by-step explanation:

choose people who would use the path and actually have feed back whilekeeping things random which i guess random is the only option beofre the subjuects selected.

7 0

3 years ago

Shelly and her family are riding the Pikes Peak Cog Railway. The table shows the approximate distances the train has covered at

irga5000 [103]

Relationship between distance and time is A. d = 0.12m

Step-by-step explanation:

For an object moving in uniform motion (=constant velocity), the relationship between distance covered and time taken is given by

$d=vt$

where

d is the distance

v is the velocity

t is the time

Therefore, in order to find the relationship between distance and time, we have to find the velocity of the train.

This can be done by using the data of the table: in fact, the velocity is the ratio between the distance covered and the time taken to cover that distance.

Therefore, if we take for instance the last point of the table:

d = 2.4 miles (distance covered)

t = 20 minutes (time taken)

So the velocity is

$v=\frac{d}{t}=\frac{2.4}{20}=0.12 mi/min$

And therefore, the relationship between distance and time is

$d=0.12 m$

(where m is the time in minutes)

Learn more about distance, time and velocity:

brainly.com/question/8893949

#LearnwithBrainly

4 0

4 years ago

Find all points having an x-coordinate of 2 whose distance from the point (-1,-2) is 5

mariarad [96]

$The\ equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\\\\where\ (a;\ b)\ -the\ coordinates\ of\ the\ center;\ r-the\ radius\\-----------------------------\\(-1;-2)-the\ center\ of\ the\ circle\\r=5\\\\The\ equation:(x+1)^2+(y+2)^2=5^5\\\\Put\ x=2\ to\ the\ equation:\\\\(2+1)^2+(y+2)^2=25\\3^2+(y+2)^2=25\\9+(y+2)^2=25\\(y+2)^2=25-9\\(y+2)^2=16\iff y+1=\pm\sqrt{16}\\\\y+1=-4\ or\ y+1=4\ \ \ \ \ |subtract\ 1\ from\ both \sides\\y=-5\ or\ y=3\\\\Answer:(2;-5)\ and\ (2;\ 3).$

5 0

4 years ago