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mihalych1998 [28]
3 years ago
7

What is the point form of the line which slope -1/4 that passes through the point (-2,9)

Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:Which sentence from the passage shows that the function of the river depicted here has carried through to modern times?

Step-by-step explanation:

Which sentence from the passage shows that the function of the river depicted here has carried through to modern times?

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Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
This is fairly easy yet i cannot do this
ICE Princess25 [194]

Answer:

( -9, -6)

Step-by-step explanation:

The red dot is the original (6, 9)

The blue dot is when it is rotated 270 degrees clockwise (-9, -6).

7 0
2 years ago
Sally launches a rocket off of a platform. The height of the rocket, in meters, can be modeled by the function, h(x) = -5(x - 3)
Lorico [155]

Answer:

Time = 3secs

Max height = 56m

Step-by-step explanation:

Given the height reached by the rocket modeled by the equation;

h(x) = -5(x - 3)² + 56 where;

x is in seconds

The rocket velocity at its maximum height is zero.

Hence dh/dx = 0

dh/dx = 2(-5)(x-3)

dh/dx = -10(x-3)

Since dh/dx = 0

0 = -10(x-3)

0 = -10x + 30

10x = 30

x = 3secs

<em>Hence it takes 3 secs to reach the maximum height.</em>

Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;

Recall that:

h(x) = -5(x - 3)² + 56

If x  = 3

h(3) = -5(3 - 3)² + 56

h(3) = 0 + 56

h(3) = 56

<em>Hence the maximum height that the rocket reaches is 56m</em>

4 0
2 years ago
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRo
murzikaleks [220]

Answer:

\frac{5}{X^{2} } y^{2}

Step-by-step explanation:

sorry the Y isn't under the 5 anyway hope this helped

6 0
2 years ago
Ughhhh math please help meeeeee
Svet_ta [14]

Answer:

The first one is A The second one would be D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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