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andrezito [222]
2 years ago
8

Given: MNFD is a trapezoid.

Mathematics
1 answer:
Rama09 [41]2 years ago
6 0
A trapezoid with legs MN = FD is an isosceles trapezoid.
An isosceles trapezoid has diagonals that are congruent, therefore: MF = ND.
A quadrilateral with diagonals congruent and perpendicular is a square.
In a square, the height coincides with the side.
The area of a square is given by A = s²
Therefore, the area of MNFD is h²
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A city water department is proposing the construction of a new water pipe, as shown. the new pipe will be perpendicular to the o
vitfil [10]
I found a similar problem to your problem here, which is shown in the attached picture. So, from the picture, we have to find the equation for the red line. All we have to do is find two points of the line. That would be: Point 1(2,0) and Point 2(-2,3). The general equation would be:

y - y₁ = (y₂-y₁)/(x₂ - x₁) * (x - x₁)

Substituting the coordinates to the equation,

y - 0 = (3-0)/(-2 - 2) * (x - 2)
y = -3(x -2)/4
Rearranging,
<em>4y = -3x + 6 or 4y + 3x = 6</em>

4 0
2 years ago
Which of the following functions is graphed below?
Butoxors [25]

Answer:

Option (B)

Step-by-step explanation:

Given question is not complete; find the complete question in the attachment.

In the graph attached,

Parent function is an absolute value function,

f(x) = |x|

When this graph is shifted 4 units left, rule for the translation will be,

f(x) → f(x + 4)

Therefore, the new function of above translation will be,

g(x) = f(x + 4) = |x + 4|

Now the graph is shifted 2 units down so the translated function will be,

h(x) = g(x) - 2

h(x) = |x + 4| - 2

If we rewrite the function in the form of an equation, graph will be represented by

⇒ y = |x + 4| - 2

Therefore, Option (B) will be the answer.

8 0
2 years ago
A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dx/dt
yaroslaw [1]

Answer:

\displaystyle y'=-\frac{9}{2}

Step-by-step explanation:

<u>Differentiation</u>

We have a relationship between x and y as follows:

x^2+y^2=25

Both variables depend on time t for t≥0.

Differentiating with respect to time:

(x^2)'+(y^2)'=(25)'

Applying the derivative of a power function:

2xx'+2yy'=0

Recall the derivative of a constant is 0.

Dividing by 2:

xx'+yy'=0

Solving for y':

\displaystyle y'=-\frac{xx'}{y}

At some specific time, we have:

x=3, y=4, dx/dt = x' = 6. Substituting:

\displaystyle y'=-\frac{3\cdot 6}{4}

Operating:

\displaystyle y'=-\frac{18}{4}

Simplifying:

\mathbf{\displaystyle y'=-\frac{9}{2}}

8 0
2 years ago
Cody's new car cost $15,200. With a sales tax of 7%, determine the total price of the car.
Paul [167]

Answer:

$16,264

Step-by-step explanation:

.07(15200)=1064

1064+15200(original price)=16264

4 0
2 years ago
Read 2 more answers
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LekaFEV [45]

Answer: i explained

Step-by-step explanation: Just do

8 times 11 = *your answer*

then

*your answer* times/subtract/divided by  108

8 0
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