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3 years ago

The height of a rectangle is 2 less than it’s base x if the perimeter of the rectangle is no less than 36 cm, find the base

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

10 I think because 10+10+8+8=36 and 8 is 2 less than 10

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Complete the table below using the Midpoint and Distance Formulas.

Zielflug [23.3K]

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

Thus:

$M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

Length of AB:

Distance between A(2, 4) and B(2, -6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

$AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}$

$AB = \sqrt{(0)^2 + (-10)^2}$

$AB = \sqrt{0 + 100} = \sqrt{100}$

$AB = 10$

5 0

3 years ago

Can someone please explain how to simplify expressions that have negative or positive exponents

solniwko [45]

Step-by-step explanation:

I guess you just slove the exponent can I see the actual question

8 0

3 years ago

Use CALCULUS to find coordinates of the turning point on C.

antiseptic1488 [7]

Oi

Just calculating the differential. Step by step:

$y=12 \sqrt{x} -x \frac{3}{2}-10 \\ \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \ \sqrt{x} =x^{ \frac{1}{2} }} \\ \\ Differentiating \\ \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\ \\ y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\ \\ y'=6. \frac{1}{x^{ \frac{1}{2} }} -1. \frac{3}{2} \\ \\ \boxed{y'=\frac{6}{ \sqrt{x} } -\frac{3}{2}}$

If you want to know where the tangent has no slope:

$\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\ \\ \frac{6}{ \sqrt{x} } = \frac{3}{2} \\ \\ 3 \sqrt{x} =12 \\ \\ \sqrt{x} = \frac{12}{3} \\ \\ \sqrt{x} =4 \\ \\ (\sqrt{x})^2 =4^2 \\ \\ x=16$

3 0

3 years ago

The rectangular field is 120 yards long and 40 yards wide. How many square yards is it’s area?

lilavasa [31]

Answer:

4800 yards wide

Step-by-step explanation:

120 x 40=4800

3 0

3 years ago

True or false, there is no solution to the systems of inequalities shown below

miss Akunina [59]

False
Because if you plot a graph to both the equation as i have attached the image.. you can see there can be multiple solution to the above system of inequalities.

8 0

3 years ago

Read 2 more answers