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3 years ago

What is the area of this square?

Mathematics

2 answers:

lbvjy [14]3 years ago

7 0

The formula for finding area is l * w

Since a square has all sides the same length, we need to multiply 40 by 40.

40 * 40 = 1,600 ←

Check work by dividing 1,600 and 40:

1,600 ÷ 40 = 40

Your answer is Option D. 1,600 km². (The answer wouldn't be option C as it is referring to perimeter, not area)

The area of the square is 1,600 km².

I hope this helps! :)

shepuryov [24]3 years ago

5 0

Area = 40x40 = 1600km²

answer

D.
1,600 km²

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3 years ago

Express square root -144 in its simplest terms.

Montano1993 [528]

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$\sqrt{144}$ = 12 or $\sqrt{-144}$ = 12i

Step-by-step explanation:

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3 years ago

What is the equation of the following graph in vertex form?

Zepler [3.9K]

<h3>Answer: Choice B. y = (x+3)^2 - 1</h3>

============================================

How I got that answer:

The vertex is the lowest point of parabolas that open upward.

(h,k) = vertex

(h,k) = (-3,-1)

h = -3

k = -1

For each of the answer choices, a = 1.

The general template of a quadratic in vertex form is

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

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3 years ago

Consider the parabola r(t)equalsleft angle at squared plus 1 comma t right angle, for minusinfinityless thantless thaninfinity

kodGreya [7K]

Given:- $r(t)=< at^2+1,t>$ ; $-\infty < t< \infty$ , where a is any positive real number.

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$r(t)=< at^2+1,t>$

now, take the derivatives we get;

$r{}'(t)=$

As, we know that two vectors are orthogonal if their dot product is zero.

Here, $r(t) and r{}'(t)$ are orthogonal i.e, $r\cdot r{}'=0$

Therefore, we have ,

$< at^2+1,t>\cdot < 2at,1>=0$

$< at^2+1,t>\cdot < 2at,1>=$

$=2a^2t^3+2at+t$

$2a^2t^3+2at+t=0$

take t common in above equation we get,

$t\cdot \left (2a^2t^2+2a+1\right )=0$

⇒ $t=0$ or $2a^2t^2+2a+1=0$

To find the solution for t;

take $2a^2t^2+2a+1=0$

The number $D = b^2 -4ac$ determined from the coefficients of the equation $ax^2 + bx + c = 0.$

The determinant $D=0-4(2a^2)(2a+1)$ $=-8a^2\cdot(2a+1)$

Since, for any positive value of a determinant is negative.

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3 years ago

F(x) = 5x + 2x^2-7x+4 g(x) =3x-7 find (f+g)(x)

Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

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3 years ago

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