All categories

3 years ago

I need help with both, please explain thoroughly. Does it make a difference if it says "from the origin" or "about vertex _"???

Mathematics

1 answer:

Vitek1552 [10]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

From the origin means from the centre or middle but about a vertex is from a named point.

You might be interested in

Help? high school pre cal

o-na [289]

Answer:

B. 2, -0.5

Step-by-step explanation:

Given the equation

$-2x^2+2=-3x$

Rewrite it as

$-2x^2+3x+2=0$

Graph the graph of the quadratic function $y=-2x^2+3x+2$

The grapg of this function is a parabola going downwards.

This parabola intersects the x-axis at points x = -0.5 and x = 2, so the solutions of the equation are x = -0.5 and x = 2

3 0

3 years ago

Simplify products and quotients

garik1379 [7]

It’s c on edge2020!!

4 0

3 years ago

A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing

stepan [7]

Answer:

Step-by-step explanation:

Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.

Let x gallons of 12% alcohol be mixed with y gallons of 4% alcohol.

Total gallons $= x+y = 20$

Alcohol content in the total mixture $= 0.12x+0.04y =9% of x+y$

$0.12x+0.4y=0.09(20)\\12x+4y = 180$

b) Two equations are

$x+y = 20\\12x+4y = 180$

c) This is of the form Ax = B

where A = $\left[\begin{array}{ccc}1&1\\12&4\end{array}\right]$

Inverse is $\frac{1}{4-12} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\=\frac{-1}{8} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\$

Solution set is A inverse *B

= $x \ 12.5\\y \ 7.5$

7 0

3 years ago

A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th

alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0

3 years ago

I’ll give brainlest I don’t know the answer:/ someone help bruh

cricket20 [7]

Answer:

(4,2)

Step-by-step explanation:

its where the point intersects which is (4,2)

6 0

2 years ago

I need help with both, please explain thoroughly. Does it make a difference if it says "from the origin" or "about vertex _"???​

I need help with both, please explain thoroughly. Does it make a difference if it says "from the origin" or "about vertex _"???