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3 years ago

Find the value of x for which abcd must be a parallelogram 3x 4x-5

Mathematics

1 answer:

n200080 [17]3 years ago

8 0

Let's first denote the intersection point of diagonals with O. In this parallelogram, we can observe that ΔAOB is congruent to ΔCOD because of AB=CD and the angles ∠BAO and ∠OCD are equal (They are alternate angles). According to the rule of congruency, 3x=4x-5 and x=5

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What is the domain and range of y=-1/4(x)

LenKa [72]

Domain: $(-\infty, \infty)$

Range: $(-\infty, \infty)$

Explanation:

The function is $y=-\frac{1}{4} x$

The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function $y=-\frac{1}{4} x$ is defined in the interval $(-\infty, \infty)$ .

The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function $y=-\frac{1}{4} x$ is defined in the interval $(-\infty, \infty)$ .

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3 years ago

Which function is a quadratic function

Pavlova-9 [17]

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.

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3 years ago

Help PLease! PLease explainn how to do these types of equations!

leonid [27]

Answer:

4xy See image.

Step-by-step explanation:

Remember for division questions to use Keep, Change, Flip. You will Keep the first term the same. Change the divide to times. And Flip the second term (turn it upside down, in math this is called the reciprocal)

Also, you need to know when you you get to the part where everything is times, then you times: top×top, and bottom×bottom.

Once everything is times, you can rearrange the order and cancel (cancel is not really the mathy thing happening, you are dividing---

x/x is 1 and y/y is 1,

10/5 is 2, 6/3 is 2) See image.

7 0

2 years ago

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer: v = 5v + 4u + 1.5sin(3t),

1.5sin(3t)

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1

v represents the "velocity function" i.e v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )

= 5v + 4u + 1.5sin(3t) ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ = $\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]$ $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]$

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

$\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]$ = $\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]$

7 0

3 years ago

How to do long division

fomenos

Answer:

steps: divide, multiply, subtract, and bring down.

Step 1. Calculate how many times the number outside the division bar goes into the first number inside the bar. Step 2. Put the answer on top of the bar. Step 3. Multiply the number outside the division bar by the number at the top of the bar.

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3 years ago