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almond37 [142]
3 years ago
15

Determine the minimum and maximum points in the function x2+4x+1​

Mathematics
1 answer:
olga2289 [7]3 years ago
3 0
7 is the right answer your looking for.
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- What is the equation of a cirde with a center
wlad13 [49]

Answer:

<h2>C.</h2>

Step-by-step explanation:

The equationof a circle:

(x-h)^2+(y-k)^2=r^2

<em>(h, k)</em><em> - center</em>

<em>r</em><em> - radius</em>

<em />

We have <em>center = (4, -1) → h = 4, k = -1</em>, and <em>r = 9</em>.

Substitute:

(x-4)^2+(y-(-1))^2=9^2\\\\\huge\boxed{(x-4)^2+(y+1)^2=81}

6 0
3 years ago
Read 2 more answers
HELP.. What angle pair relationship is shown?
Greeley [361]
Answer: Corresponding
7 0
3 years ago
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Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
Read 2 more answers
At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 mL of blood per beat. Blood has a densi
Kaylis [27]

Answer:

There is approximately 5.475 liters of blood in the body.

Step-by-step explanation:

At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 ml of blood per beat.

73 ml in liters = 73\times0.001=0.073 liters

Now, 75 beats/min x  0.073 liters/beat  = 5.475 liters/min

And 5.475 liters/min x 1 min/body = 5.475 liters/body

Hence, there is approximately 5.475 liters of blood in the body.

7 0
3 years ago
How do you graph and translate a shape ​
jeka94

See in the explanation

<h2>Explanation:</h2>

Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:

  • Horizontal shifts
  • Vertical shifts
  • Reflections

Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>

To do so, you would need:

  1. A coordinate plane.
  2. An original shape
  3. Set the original shape in the coordinate plane.
  4. A rule
  5. The translated shape

For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:

A(-4,0)

B(-2, 0)

C(-2, 4)

The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:

D(2,1)

E(4, 1)

F(4, 5)

<h2>Learn more:</h2>

Translation: brainly.com/question/12534603

#LearnWithBrainly

3 0
3 years ago
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