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Marat540 [252]
3 years ago
8

Extra points!!no links tho

Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

<h3>              a. the  vertex represents a minimum point</h3><h3>              b.  f(x) = (x + 5)² - 5</h3>

Step-by-step explanation:

a.

a = 1 > 0  ← that means the parabola opens up, so the vertex is minimum of the function

b.

  f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5

You might be interested in
Calculate the standard deviation of the volume of water at a temperature of 25°C.
vaieri [72.5K]

Answer:

0.01

Step-by-step explanation:

Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.

Average volume of water 10.03ml.

Standard deviation is 0.0001 + 0.0001

Standard deviation is \sqrt{0.0002}  = 0.01.

5 0
3 years ago
The sides of two regular octagons are 3 in. And 6 in. respectively. Find the ratio of their perimeters and their areas
photoshop1234 [79]

The ratio of their perimeters is \frac{1}{2} and the ratio of their areas is \frac{1}{4}

Step-by-step explanation:

A regular n-side polygon has

  • n equal sides
  • n equal angles
  • The measure of each interior angle = \frac{(n-2).180}{n}
  • Its perimeter = n × a, where a is the length of its side

<em>V.I.Note: all regular polygons have same number of sides are similar, because their interior angles are equal in measures and their sides are proportion</em>

<em />

∵ There are to regular octagons

- Regular octagon has 8 equal sides and 8 equal angles

∴ The two octagon are similar

∵ Their sides are 3 inches and 6 inches

∴ The constant ratio between their sides = \frac{3}{6}

- Divide the two terms of the ratio by 3 to simplify it

∴ The constant ratio between their sides = \frac{1}{2}

In similar figures <em>the ratio between their perimeters is equal to the constant ratio between their sides</em>, and <em>the ratio between their areas is equal to square the constant ratio between their sides</em>

∵ The two octagons are similar

∵ The constant ratio between their sides = \frac{1}{2}

∵ The ratio between their perimeters = the constant ratio between

   their sides

∴ The ratio between their perimeters = \frac{1}{2}

∵ The ratio between their areas = (constant ratio)²

∴ The ratio between their areas = (\frac{1}{2})^{2}=\frac{1}{4}

The ratio of their perimeters is \frac{1}{2} and the ratio of their areas is \frac{1}{4}

Learn more:

You can learn more about the polygons in brainly.com/question/3779181

#LearnwithBrainly

6 0
3 years ago
If 1/2 a number is 5 more than 1/7 of that number, what is the number?​
Burka [1]

Answer:

14

Step-by-step explanation:

1/2x = 1/7x + 5

1/2x - 1/7x = 5

7/14x - 2/14x = 5

5/14x = 5

x = 5 * 14/5

x = 14

4 0
2 years ago
In the figure below, BD bisects ∠ABC. What is the length of AB?
dimaraw [331]

Answer:

D. 12

Step-by-step explanation:

Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:

AB/AD = CB/CD

Substitute

AB/8 = 6/4

Cross multiply

AB*4 = 6*8

AB*4 = 48

AB = 48/4

AB = 12

3 0
3 years ago
Use any method to multiply (3a + 2b – c)(a – b + 2c).
umka21 [38]

Answer:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

(3a + 2b - c)(a - b + 2c) \\  = (3 {a}^{2}  - 3ab + 6ac + 2ab - 2 {b}^{2}  + 6bc - ac + bc - 2 {c}^{2} ) \\  = 3 {a}^{2}  - ab + 5ac - 2 {b}^{2}  + 5bc -  {2c}^{2}  \\  = 3 {a}^{2}  - 2 {b}^{2}  -  {2c}^{2}  - ab + 5ac + 5bc

4 0
3 years ago
Read 2 more answers
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