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3 years ago

A triangle with side 9,10and 11 has the same perimeter as a square with sides of length

Mathematics

1 answer:

jeka57 [31]3 years ago

3 0

Answer:

7.5.

Step-by-step explanation:

A square has 4 equal sides so:

4x = 9 + 10 + 11 where x is the length of one side of the square.

4x = 30

x = 7.5.

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VMariaS [17]

Answer:

the original price would be <u>16.605.</u>

Step-by-step explanation:

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4 years ago

Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results. (If a

kipiarov [429]

Answer:

Horizontal tangent

(x, y) = (1, 0)

Vertical tangent

(x, y) = DNE

Step-by-step explanation:

The equation for the slope (m) of the tangent line at any point of a parametric curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Where $\frac{dx}{dt}$ and $\frac{dy}{dt}$ are the first derivatives of the horizontal and vertical components of the parametric curves. Now, the first derivatives are now obtained:

$\frac{dx}{dt} = -1$ and $\frac{dy}{dt} = 2\cdot t$

The equation of the slope is:

$m = -2\cdot t$

As resulting expression is a linear function, there are no discontinuities and for that reason there are no vertical tangents. However, there is one horizontal tangent, which is:

$-2\cdot t = 0$

$t = 0$

The point associated with the horizontal tangent is:

$x = 1 - 0$

$x = 1$

$y = 0^{2}$

$y = 0$

The answer is:

Horizontal tangent

(x, y) = (1, 0)

Vertical tangent

(x, y) = DNE

6 0

4 years ago

How many terms are in this expression? d + 8c + 7

Fantom [35]

Answer:

Step-by-step explanation:

8 0

3 years ago

A triangle has vertices at (-9,2), (-9,-6), (-3,-6). What is the perimiter of the triangle in units?

vladimir2022 [97]

Answer:

The perimeter is 24 units

Step-by-step explanation:

Given

$A = (-9,2)$ --- $(x_1,y_1)$

$B = (-9,-6)$ --- $(x_2,y_2)$

$C = (-3,-6)$ --- $(x_3,y_3)$

Required

Determine the perimeter

To do this, we calculate the distance AB, BC and AC.

Distance is calculated as:

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

So, we have:

$AB = \sqrt{(-9 - -9)^2 + (2 - -6)^2$

$AB = \sqrt{64$

$AB = 8$

$BC = \sqrt{(-9 - -3)^2 + (-6 - -6)^2$

$BC = \sqrt{36$

$BC = 6$

$AC = \sqrt{(-9 --3)^2 + (2 --6)^2$

$AC = \sqrt{100$

$AC = 10$

So, the perimeter (P) is:

$P = AB + BC + AC$

$P =8 + 6 + 10$

$P =24$

3 0

3 years ago

Which line on the graph represents the equation y=3x-2

Vika [28.1K]

Answer:

Line A.

Step-by-step explanation:

When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.

Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.

In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.

Therefore, the answer is A!

5 0

3 years ago