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pentagon [3]
3 years ago
7

College precalc! Please help! I've been struggling.

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

B) f(x) = x if x ≤ -2

            2 if x > -2

Step-by-step explanation:

B) f(x) = x if x ≤ -2 (The x and y coordinate have the same value)

            2 if x > -2

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2x - y = 8<br> y= x-3<br> Use substitution method
uranmaximum [27]

Answer:

 Slope = 0.222/2.000 = 0.111

 x-intercept = -3/1 = -3.00000

 y-intercept = 3/9 = 1/3 = 0.33333

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

1.1     Solve   x-9y+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-9y+3  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/3 so this line "cuts" the y axis at y= 0.33333

 y-intercept = 3/9 = 1/3  =  0.33333

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.333 and for x=2.000, the value of y is 0.556. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.556 - 0.333 = 0.222 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.222/2.000 =  0.111

Geometric figure: Straight Line

 Slope = 0.222/2.000 = 0.111

 x-intercept = -3/1 = -3.00000

 y-intercept = 3/9 = 1/3 = 0.33333

Processing ends successfully

plz mark me as brainliest if this helped :)

3 0
3 years ago
What is the next term of 54, 36, 24
NISA [10]

Answer:

18

Step-by-step explanation:

54-36=18

36-24= 12

it is going down by multiples of six, so you would take 24 and subtract 6 and you will get 18

5 0
3 years ago
Read 2 more answers
Hurry please!!! Fast response
AlladinOne [14]

Answer:

A.

SA= \frac{2}{3} \pi rl+16 \pi r^2

Step-by-step explanation:

Surface area of the original cone

SA= \pi r l + \pi r^2... (1)

When, radius is quadrupled and slant height is reduced to one sixth

i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l

Plug the above values of r and l in equation (1), new surface area becomes:

SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2

SA= \frac{4}{6} \pi rl+16 \pi r^2

\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}}

8 0
2 years ago
What is the value of x? *
EleoNora [17]

In a circle, the parts of the diagonals multiply to equal each other, so 6·4=2x.

2x = 24, x = 12.

6 0
2 years ago
What is the answer to this 6w+5&gt;2(3w+3).
fomenos

Answer:

No Solution

Step-by-step explanation:

So we have the inequality:

6w+5>2(3w+3)

Distribute on the right:

6w+5>6w+6

Subtract 6w from both sides:

5>6

5 is <em>not</em> greater than 6.

Therefore, the answer to this inequality is no solution.

8 0
3 years ago
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