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soldier1979 [14.2K]
3 years ago
7

If a quadrilateral does not have two pairs of opposite sides that are parallel, then it may be a _____.

Mathematics
1 answer:
vivado [14]3 years ago
8 0
It may be a trapezium
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The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000
ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

<em>Find the value of k</em>

For the point (4,2268)

k=\frac{2,268}{4}=567\ mph

The slope represent the speed of the airplane

so

The linear equation is

y=567x

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The  point  (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

3 0
3 years ago
Help needed
RoseWind [281]
<span>f(x)= x³-x²-9x+9 has x², so it will be many to one function ( one value of y will correspond several values of x).

Answer is B.</span>

6 0
3 years ago
What is the domain of the function y= the square root of x+6-7
Diano4ka-milaya [45]
X>-6 is what i believe the answer is.
hope this helps!

4 0
3 years ago
Read 2 more answers
Find the roots of:
Elena-2011 [213]

\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \  2x^3-7x^2+8x-3=0 } \end{gathered}$}

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

  | 2  -7    8  -3

<u>1 |      2   -5   3</u>

  | 2   -5    3  0

<u> 1 |      2     -3   </u>

    2   -3     0

So the factorization is (x-1)² (2x-3)=0. So:

                     \bf{ x_1=x_2=1 \qquad x_2=\dfrac{3}{2}  }

\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \  x^3-x^2-4=0 } \end{gathered}$}

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

      |  1  -1  0  -4

  <u>2  |     2  2     </u>

         1  2  2  0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

                   \bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }

\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \  6x^3+7x^2-9x+2=0 } \end{gathered}$}

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

   | 6    7       9      2

<u>-2 |      -12    10     -2</u>

     6    -5     1       0

So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

         \bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}

                     \large\displaystyle\text{$\begin{gathered}\sf  \begin{matrix} x_1=-2&\ \ \ \ \ \ x_{2}=\dfrac{6}{12} \qquad &\ \ \ x_3=\dfrac{4}{12}\\ &\ \ \ x_2=\dfrac{1}{2} \qquad &x_3=\dfrac{1}{3} \end{matrix} \end{gathered}$}

6 0
2 years ago
A 5-foot tall person standing with her back to the sun casts an 12-foot long shadow. To the nearest degree, what angle does the
swat32

Answer:

  • 23°

Explanation:

<u>1) Data:</u>

a) height of the person = opposite-leg to the angle the sun makes with the ground = 5 ft

b) length of the shadow = adjacent-leg to the angle the sun makes with the ground = 12 ft

c) angle, α = ?

<u>2) Solution</u>

  • tanα = opposite-leg / adjacent-leg

  • tanα = 5 ft / 12 5t = 5/12

  • α = arctan(5/12) = 22.6°

  • 22.6° rounded to the nearest degree is 23° ← answer
5 0
3 years ago
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