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rjkz [21]
3 years ago
13

What is the completely factored form of this polynomial? 4x^4+12x^2+9

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

(2x^2+3)^2

Step-by-step explanation:

See image below:)

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Question 4 of 10
ludmilkaskok [199]

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

5 0
3 years ago
Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b
BARSIC [14]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( \frac{7}{2} )x +\frac{49}{4} - \frac{49}{4} - 5

y = (x + \frac{7}{2} )² - \frac{49}{4} - \frac{20}{4}

y = (x + \frac{7}{2} )² - \frac{69}{4}

Hence

a = \frac{7}{2} and b = - \frac{69}{4}

8 0
3 years ago
50 squared equals 2 + 25 squared equals 2 * 5 equals 10 what is wrong
Klio2033 [76]

Convert to an equation:

50^2=2+25^2=2*5=10

Simplify:

2500=625=10=10

What is wrong is that 2500 does not equal 625 which does not equal 10.

7 0
3 years ago
Find the recursive rule, explicit rule, and f(20)
DiKsa [7]

Answer:

Recursive:

f(1)=35, f(n)=f(n-1)+10

Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

5 0
3 years ago
6 students want lemonade and 12 students
Ksenya-84 [330]

Answer:

2:1

Step-by-step explanation:

well we show ratio by the sign ' : '

ratio of iced tea to lemonade= 12:6

now we reduce it to minimum by dividing it with same number.

12 is divisible by 6

so,

the reduced form is = 2:1

therefore,

ratio of the  number of students who want iced tea to the  number of students who want lemonade = 2:1.

5 0
3 years ago
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