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4 years ago

What vertex does the quadrilateral and the pentagon share?

Mathematics

2 answers:

egoroff_w [7]4 years ago

8 0

Answer:

<em>Point; ( - 3, - 5 )</em>

Step-by-step explanation:

<em>Solution; ( - 3, - 5 )</em>

If we take a look at the figure, the two figures share a common endpoint in the III quadrant;

This point meets with an x - value of - 3, and a y - value of - 5, such that it forms the coordinate ( - 3, - 5 )

Cloud [144]4 years ago

3 0

A vertex is a corner and the corner that both the quadrilateral and pentagon share is at point (-3,-5)

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Given two vectors a⃗ =4.00i^+7.00j^ and b⃗ =5.00i^−2.00j^ , find the vector product a⃗ ×b⃗ (expressed in unit vectors). what is

FinnZ [79.3K]

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

Further explanation:

Given:

Vector a is $\vec a = 4.00\hat i + 7.00\hat j.$

Vector b is $\vec b = 5.00\hat i - 2.00\hat j.$

Explanation:

The cross product of a \times b can be obtained as follows,

$\begin{aligned}a \times b &= \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k} \\4&7&0\\5&{ - 2}&0 \end{array}}\right|\\&= \hat i\left( {0 - 0} \right) - \hat j\left( {0 - 0} \right) + \hat k\left( { - 9 - 35} \right)\\&= 0\hat i - 0\hat j - 43\hat k\\&= - 43\hat k\\\end{aligned}$

The vector can be expressed as follows,

$a \times b = - 43\hat k$

The magnitude of $a \times b$ can be obtained as follows,

$\begin{aligned}\left| {a \times b} \right| &= \sqrt {{0^2} + {0^2} + {{\left( { - 43} \right)}^2}}\\&= \sqrt {{{43}^2}}\\&= 43\\\end{aligned}$ 43404

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: two vectors, vector product, expressed in unit vectors, magnitude, vector a, vector b, a=4.00i^+7.00j^, b=5.00i^-2.00j^, unit vectors, vector space.

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Step-by-step explanation:

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4 years ago

Which expression is equivalent to the following complex fraction? 3/x-1 -4/2-2/x-1

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Step-by-step explanation:

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3 years ago

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If two data points are 10 and 20, what data point would make 30 the mean?

Elena L [17]

Answer:

Step-by-step explanation:

The mean of a set of numbers is calculated by adding them all together and then dividing the sum by the amount of values in the data set. In this scenario, we know the mean is 30, and there are 3 numbers in the data set, 10, 20, and an unknown number (x).

Let's set up an equation with the information we have.

30 = (10 + 20 + x) / 3

Now we can multiply both sides by 3 ==>

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Combine like terms ==>

90 = 30 + x

Subtract 30 from each side ==>

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And now you have your answer!

The value of x = 60 would make the mean of the data set 30.

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