How many vertices does the following shape have?

Pls solve I need it solved rn show work urgent PLS*****

omeli [17]

Answer:

16. y=-5x-20; 17. y=6x+18, or factored y=6(x+3)

Step-by-step explanation:

Your slope is -5

y=-5x+b, solve for b by pluging the point (-3,-5) in for x and y

-5=-5(-3)+b, solve for b

-20=b, now rewrite the equation

y=-5x-20

Your slope is 6

y=-5x+b, solve for b by pluging the point (-3,-0) in for x and y

0=6(-3)+b, solve for b

18=b, now rewrite the equation

y=6x+18, or factored y=6(x+3)

5 0

2 years ago

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

True [87]

Answer:

the value of a, if points A and D belong to the x−axis and m∠BAD=60 degrees is 2/√3

Step-by-step explanation:

Trapezoid ABCD with height 2 unit contain Points A and D which may be A(-1,0) and D(5.0)

Vertex of parabola is the point where parabola crosses its axis

Let suppose A and D are two points then draw altitude on them CE where C is on AD

As height of altitude has been given that is 2 then

total angle = 180 degrees

m∠BAD=60 degrees

m∠CEA =180 - 60 -90

= 30

then the value for AE = 2/√3.

y=a(x+1)(x−5).

where 2/√3 is right of -1 and 2 unit above x-axis

5 0

2 years ago

PLZ HELP, GIVING BRAINLIEST!!

Maurinko [17]

Answer:D

Step-by-step explanation:

Hope this was right.

4 0

2 years ago

The information below applies to a competitive firm that sells its output for $40 per unit.

drek231 [11]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

On producing 150 units, its average total cost = $24.50

We need to find the total cost.

As we know that

$Average\ cost=\dfrac{Total\ cost}{No.\ of\ units}\\\\total\ cost=Average\ cost\times No.\ of\ units\\\\total\ cost=24.50\times 150\\\\total\ cost=\$3675$

Hence, total cost is $3675.00.

Therefore, Option 'c' is correct.

3 0

3 years ago

If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter d

zhuklara [117]

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

$S = d^2\pi$

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 9 cm2/min

This means that $\frac{dS}{dt} = -9$

At which the diameter decreases when the diameter is 10 cm?

This is $\frac{dd}{dt}$ when $d = 10$ . So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

$-9 = 2(10)\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{9}{20\pi}$

$\frac{dd}{dt} = -0.143$

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

8 0

2 years ago