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3 years ago

please help. The floor area of a square closet is 16 ft2. What is the length of one side of the closet?

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Answer:

4 feet

Step-by-step explanation:

A square has 4 sides.

16/4=4 feet

Hope this helps =]

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(1,-2) y=2x+1 what is the perpendicular line

Nookie1986 [14]

Answer: (1,-2), (1, 3)

Step-by-step explanation:y=2x+1

Y=2(1)+1

Y=2+1

Y=3

3=2x+1

-1 -1

2=2x

_ _

2 2

X= 1 new you got your perpendicular line

So answer is (1, -2), (1, 3)

4 0

3 years ago

The gradiant y=2x³-5x+1 at point (2,7)

olga2289 [7]

Given:

The equation of the curve is:

$y=2x^3-5x+1$

To find:

The gradient (slope) of the given curve at point (2,7).

Solution:

We have,

$y=2x^3-5x+1$

Differentiate the given equation with respect to x.

$y=2(3x^2)-5(1)+(0)$

$y'=6x^2-5$

Now we need to find the value of this derivative at (2,7).

$y'_{(2,7)}=6(2)^2-5$

$y'_{(2,7)}=6(4)-5$

$y'_{(2,7)}=24-5$

$y'_{(2,7)}=19$

Therefore, the gradient (slope) of the given curve at point (2,7) is 19.

8 0

2 years ago

Semisuma lungimii bazelor este formula de calcul pentru: *

fredd [130]

Answer:

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2 years ago

What does the quadratic function f(x)=x^2-10x+9 look like when it is rewritten in the form f(x) = a (x-h) + k

Tatiana [17]

ANSWER

When $f(x)=x^2-10x+9$ is written in the form $f(x)=a(x-h)^2+k$ , it looks like $f(x)=(x-5)^2-16$

EXPLANATION

To write $f(x)=x^2-10x+9$ in the form $f(x)=a(x-h)^2+k$ , we have to complete the squares.

We add and subtract half the coefficient of $x$ square.

$f(x)=x^2-10x+(-5)^2-(-5)^2+9$

The first three terms of the function is now a perfect square.

$f(x)=(x-5)^2-25+9$

We now simplify rto obtain,

$\Rightarrow f(x)=(x-5)^2-16$

6 0

3 years ago

A circle centered at the origin has a radius of 10 units. The terminal side of an angle, Theta, intercepts the circle in Quadran

Tanzania [10]

Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ

We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6

From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6

7 0

3 years ago