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2 years ago

The range is the set of. A. Ordered pairs. B.second coordinates. C. First coordinates.

Mathematics

2 answers:

Stells [14]2 years ago

7 0

The range is the set of A. Ordered Pairs

Have a nice day! :)

taurus [48]2 years ago

5 0

I think the range is the set of ordered pairs

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Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?

lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point $(15,0)$ :

$15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0$

So, (15, 0) satisfies all the inequalities

For point $(7.5,7.5)$ :

$7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0$

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

$22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\$

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in $s\geq 15-t$

$7.5\geq 15-0=15$ which is false

So, $(s,t)\neq (7.5,0)$

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2 years ago

5. Find the circumcenter of the triangle. XXX CU 3 (4,2) KNNYA XHENNARO 3 ****************++++++ 5 NET Virtual cla 44,-3) WHEREw

Elan Coil [88]

The circumcenter of a right angled triangle is midpoint of the hypotenuse side.

Determine the midpoint of the hypotenuse.

$\begin{gathered} x=\frac{-4+0}{2} \\ =\frac{-4}{2} \\ =-2 \end{gathered}$

For y coordinate,

$\begin{gathered} y=\frac{2-3}{2} \\ =\frac{-1}{2} \end{gathered}$

So, circumcenter of triangle is,

$(-2,\frac{-1}{2})$

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3 months ago

What expression is equivalent to (9x^2 + 2x -7)(x - 4)

Dima020 [189]

Answer: C

Step-by-step explanation:

We can use the expanding rule to get that one if the expressions is

(9x^2 + 2x - 7)x + (9x^2 + 2x - 7)(-4)

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1 year ago

Brian and Zach went to Village Grille for lunch. Brian‟s lunch cost $4 less than 3 times Zach‟s. The total cost for lunch was $2

Nesterboy [21]

Answer:The cost for zachs lunch is 12$, and the cost for brins is 8$

Step-by-step explanation:

6 0

2 years ago

A water balloon is tossed into the air with an upward velocity of 40 ft/sits height h(t) in ft after t seconds is given by the f

olga_2 [115]

h(t) = -46t² + 40t + 3

We can think this graph by t being the x-axis and h being y-axis

So we want the maximum value to y.

We know by math that the vertex of a parabola is (-b/2a, -Δ/4a)

So the y value of the vertex is -Δ/4a

Let's calculate:

Δ = b² - 4.a.c

Δ = 40² - 4.(-46).3

Δ = 2152

Yvertex = -2152/4.(-46)

Yvertex = 2152/184

Yvertex = 269/23

Now we have the value of y we need to equal it to the equation

269/23 = -46t² + 40t + 3

-46t² + 40t + 3 - 269/23 = 0

-46t² + 40t - 200/23 = 0

Δ = b² - 4.a.c

Δ = 40² - 4 . -46 . (-200/23)

Δ = 1600 - 4. -46 . (-200/23)

Δ = 0

There's 1 real root.

In this case, x' = x'':

x = (-b +- √Δ)/2a

x' = (-40 + √0)/2.-46

x'' = (-40 - √0)/2.-46

x' = -40 / -92

x'' = -40 / -92

x' = 0,43478260869565216

x'' = 0,43478260869565216

So, after approximately 0,4348 seconds the balloon will reach the highest point.

B) height after 2 seconds

h(2) = -46.2² + 40.2 + 3

h(2) = -46.4 + 80 + 3

h(2) = -184 + 83

h(2) = -101

Not sure how it's possible but it would be -101.

4 0

3 years ago