All categories

3 years ago

Find the value of x for both of these questions plz

Mathematics

2 answers:

kramer3 years ago

7 0

Answer:

13- 60, 14- 30

Step-by-step explanation:

number 13 is a 60, 60,60 triangle

number 14 has two identical edges 2 of the corners are the same:

30, 30, 120

leonid [27]3 years ago

5 0

Answer:

for 13 its x=60 and for 14 its x=120

Step-by-step explanation:

for 13 its a equilateral triangle meaning all sides are the same so the answer x=60

for 14 its a obtuse isosceles triangle meaning it has 2 angles that are the same and 1 obtuse angle so the other angles would be 30 and 120. hope this helps :)

You might be interested in

I need help completing this problem ASAP

Evgen [1.6K]

Answer:

8 sqrt(5)

Step-by-step explanation:

sqrt(45) + sqrt(125)

Rewriting

sqrt(9*5) + sqrt( 25 *5)

we know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9) sqrt(5) + sqrt(25) sqrt(5)

3 sqrt(5)+5 sqrt(5)

Add like terms

8 sqrt(5)

5 0

3 years ago

Read 2 more answers

Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A

Vesna [10]

Answer: The required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

Step-by-step explanation: We are given to find the characteristic polynomial of the following 3 × 3 matrix A with unknown variable x :

$A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].$

We know that

for any square matrix M, the characteristic polynomial is given by

$|M-xI|=0,$ where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

$|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.$

Thus, the required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

6 0

2 years ago

8u/u^2-18u+81 subtract 72/u^2-18u+81

Karo-lina-s [1.5K]

Your question is:
$\frac{8u}{u^2-18u+81} -\frac{72}{u^2-18u+81}$
Then, the above formula equate:

$\frac{8u-72}{u^2-18u+81}$
Factor out 8 from the numerator we get:
$\frac{u-9}{u^2-18u+81}$
Factorization of the denominator:
$\frac{u-9}{(u-9)^2}$
Simplifying the numerator and the denominator by (u-9) we get:
$\frac{1}{(u-9)}$

6 0

3 years ago

The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already

Pepsi [2]

2664.729

The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already driven 1639.271 miles.

8 0

2 years ago

In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin

Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

$r {}^{2} = {x}^{2} + {y}^{2}$

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

$\tan(x) = \frac{y}{x}$