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3 years ago

I forgot how to convert the inequalities so if someone could please help me that would be great!

Mathematics

1 answer:

jeyben [28]3 years ago

4 0

WHEN GRAPHING

Step 1. Convert to y = mx + b

Equation 1: y = 3x/2 - 16/2
Equation 2: y = -5 - 2x

Step 2. Graph like normal

Find zeros & plot
Find y-intercept & plot

Step 3. Shade as indicated by the inequality symbol

> or ≥ = above line
< or ≤ = below line

Step 4. If ≤ or ≥ ONLY, then also shade the line

FOR THIS PROBLEM

1. Graph each equation

2. Shade ABOVE line for each

3. Shade line first equation as well

Hope this helps and God bless!

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9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

coordinates of the center: $(x_m,y_m) = (7,8)$
radius of the circle: $r = 10$

we can put this in the formula of the circle:

$(x-a)^2+(y-b)^2=r^2$

in our case the equation changes to:

$(x-x_m)^2+(y-y_m)^2=r^2$

$(x-7)^2+(y-8)^2=(10)^2$

$(x-7)^2+(y-8)^2=100$

this is the equation of the circle!

6 0

3 years ago

Solve the following problem.<br><br> 8/3+3/4 =

Flauer [41]

Answer:

Exact Form: 41/12

Mixed Number Form: 3 5/12

Decimal Form: 3.416 **repeating**

Step-by-step explanation: //Give thanks(and or Brainliest) if helpful (≧▽≦)//

4 0

3 years ago

Diane loves coasters that dip into tunnels during the ride.Her favorite coaster is modeled by h(t)=2t +23t-59t+24. Using rationa

Fiesta28 [93]

Answer:

The possible rational zeros for the function are

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24, ±1/2, ±3/2

Step-by-step explanation:

I believe that there is an error in the function with the exponents, it must be:

$h(t) = 2t^{3} + 23t^{2}+59t+24$

If this is the function that you need, then we must use the rational zero theorem. It says that if a polynomial function, written in descending order of the exponents, has integer coefficients, then any rational zero must be of the form ± p/ q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Thus

In this case the constant term is 24 and then

p = ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

The factor of the leading coefficient is 2, thus

q = ±1, ±2

The possible rational zeros for the function are

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24, ±1/2, ±3/2

5 0

3 years ago

If f(x) = ax²+4x+4.find the value of a

nikklg [1K]

Answer:

a=1.75

Step-by-step explanation:

Use the attachment posted

8 0

4 years ago

It costs Neil $2.88 to make two dozen muffins. He sold the muffins for $.80 each. If Neil sold six dozen muffins how much profit

arsen [322]

Hi!

So for this you need an equation. It will be 72 • 0.8 - 2.88 • 3

this is bc 12 x 6 is 72 and 3 bc 2 x 3 is 6.

so after you solve it you should get : $48.96..Hope this helped! :))

3 0

3 years ago