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3 years ago

Can someone help me with this thanks

Mathematics

2 answers:

DochEvi [55]3 years ago

6 0

Answer:

it is E

Step-by-step explanation:

Anni [7]3 years ago

4 0

Answer:

Step-by-step explanation:

The definition of a secant is : A straight line or ray that intersects a curve, especially a circle, at two or more points. On this problem ray AB is a secant. So the answer is D.

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What are the coordinates of the image of the point (1-, 2) under a dilation of 3 with the origin

Gemiola [76]

Answer:

The image of the point (1, -2) under a dilation of 3 is (3, -6).

Step-by-step explanation:

Correct statement is:

<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>

From Linear Algebra we get that dilation of a point with respect to another point is represented by:

$\vec P' = \vec R + r\cdot (\vec P-\vec R)$ (Eq. 1)

Where:

$\vec R$ - Reference point with respect to origin, dimensionless.

$\vec P$ - Original point with respect to origin, dimensionless.

$r$ - Dilation factor, dimensionless.

If we know that $\vec R = (0,0)$ , $\vec P = (1, -2)$ and $r = 3$ , then the coordinates of the image of the original point is:

$\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]$

$\vec P' = (0,0) + 3\cdot (1,-2)$

$\vec P' = (3,-6)$

The image of the point (1, -2) under a dilation of 3 is (3, -6).

4 0

3 years ago

A ball is thrown in the air from a platform that is 96 feet above ground level with an initial vertical velocity of 32 feet per

pishuonlain [190]

Answer:

y = -16 (x - 1)^2 + 112

The object lands on the ground in approximately 3.6s

Explanation:

The equation given is that of a parabola.

Now the maximum (local) point of a parabola is the vertex. Therefore, if we want to rewrite our function in the form that would be used to find the maximum height, then that form must be the vertex form of a parabola.

The vertex form of a parabola is

$y=a(t-h)^2+k$

where (h, k) is the vertex.

The only question is, what is the vertex for our function h(t)?

Remember that if we have an equation of the form

$y=ax^2+bx+c$

then the x-coordinate of the vertex is

$h=-\frac{b}{2a}$

Now in our case b = 32 and a = -16; therefore,

$h=\frac{-32}{2(16)}=1$

We've found the value of the x-coordinate of the vertex. What about the y-coordinate? To get the y-coordinate, we put x = 1 into h(t) and get

$k=-16(1)+32(1)+96=112$

Hence, the y-coordindate is k = 112.

Therefore, the vertex of the parabola is (1, 112).

With the coordinates of the vertex in hand, we now write the equation of the parabola in vertex form.

$h(t)=a(t-1)^2+112$

The only problem is that we don't know what the value of a is. How do we find a?

Note that the point (0, 96) lies on the parabola. In other words,

$h(0)=-16(0)^2+32(0)+96=96$

Therefore, the vertex form of the parabola must also contain the point (0, 96).

Putting in t = 0, h = 96 into the vertex form gives

$96=a(0-1)^2+112$ $96=a+112$

subtracting 112 from both sides gives

$a=-16$

With the value of a in hand, we can finally write the equation of the parabola on vertex form.

$\boxed{h\mleft(t\mright)=-16\left(t-1\right)^2+112.}$

Now when does the object hit the ground? In other words, for what value of t is h(t) = 0? To find out we just have to solve the following for t.

$h(t)=0.$

We could either use h(t) = -16t^2 + 32t + 96 or the h(t) = -16(t - 1)^2 + 112 for the above equation. But it turns out, the vertex form is more convenient.

Thus we solve,

$-16\left(t-1\right)^2+112=0$

Now subtracting 112 from both sides gives

$-16(t-1)^2=-112$

Dividing both sides by -16 gives

$(t-1)^2=\frac{-112}{-16}$ $(t-1)^2=7$

taking the square root of both sides gives

$t-1=\pm\sqrt{7}$

adding 1 to both sides gives

$t=\pm\sqrt{7}+1$

Hence, the two solutions we get are

$t=\sqrt{7}+1=3.6$ $t=-\sqrt{7}+1=-1.6$

Now since time cannot take a negative value, we discard the second solution and say that t = 3.6 is our valid solution.

Therefore, it takes about 3.6 seconds for the object to hit the ground.

3 0

1 year ago

Cinema A can seat 2100 people. It can seat 1477 people more than cinema B find the total number of people that both cinemas can

Kamila [148]

Answer:

5677

Step-by-step explanation:

2100 +1477 = 3577

2100+3577= 5677

7 0

3 years ago

X=8, 9, 10 i need help please

gogolik [260]

Answer:

idont know answer

Step-by-step explanation:

male morning esfg

6 0

3 years ago

Someone please help me in math

Helga [31]

I just solved it and I'm pretty sure its only one solution, I took the bottom equation multiplied it by -3 then i canceled out the equations and got 9. So that would make it C.

3 0

3 years ago

Read 2 more answers