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sveticcg [70]
3 years ago
15

Find the principal (positive) square root of 4. If necessary, round the answer to the nearest hundredth (two decimal places).

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0
The principal square root of 4 is 2
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For each function, state the vertex and whether the function has a maximum or minimum value. Explain how you decided? f(x) = -(x
nordsb [41]

Answer:

maximum value at (- 1, 6 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then minimum value

• If a < 0 then maximum value

y = - (x + 1)² + 6

with (h, k) = (- 1, 6 ) and a = - 1

Thus vertex = (- 1, 6 ) and is a maximum

4 0
3 years ago
Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)
enot [183]

Answer:

<em>The area of the polygon CDEFGH is 7</em>

Step-by-step explanation:

<u>Area of a Polygon</u>

The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.

The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:

The area CDHE is a square of length side 2. Area of a square:

A1=L^2

The area HEFG is a trapezoid with bases lengths 4 and 2,  and height 1. Area of a trapezoid:

\displaystyle A2=\frac{b1+b2}{2}h

Calculate both areas:

A1=2^2=4

\displaystyle A2=\frac{2+4}{2}\cdot 1=3

Total Area=4+3=7

The area of the polygon CDEFGH is 7

8 0
3 years ago
In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.
leva [86]
Answer:
32 students

Explanation:
We are given that:
Students in the class can either speak French, German or both
15 students know French
17 students know German

Now, the maximum number in the class can be calculated by assuming that no student can speak both languages.
This means that the number of students will be the summation of those who know French only (15) and those who know German only (17)

In this case:
the maximum number of students = 15 + 17 = 32 students 

Hope this helps :)
4 0
3 years ago
The table shows the height of a soccer ball that has been kicked from the ground over time. (For reference: h(t) = 144 – 16t2) T
natta225 [31]
The answer is:

The rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.


Here's how:

The rate of change of the function is defined and calculated as (refer to the statement beloew):

r = [change in height] / {change in time]


For the Table:

refer to the attached picture.

The table shows the calculations for the rate of change (r) for each interval given.


And for the Conclusion,

Refer to the table and notice that in the third ans fifth columns show that:

The rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.


6 0
3 years ago
Find the product of (3x²y²) (4xy³)²
Elena-2011 [213]
First, I would solve the second parenthesis.

(4xy^3)^2

Distribute

(4^2 x^2 y^6)

4 x 4 = 16

Now, combine like terms

3x^2 x 4x^2 = 12x^4

y^2 x y^6 = y^12

So, the answer would be 12x^4 y^12

Hmm actually I'm not sure. I did this about two years ago so I don't really remember sorry if this is really wrong 
5 0
3 years ago
Read 2 more answers
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