All categories

3 years ago

Triangle ABC has vertices A(2,3), B(8,3), C(5,8). show that the triangle is isosceles

Mathematics

1 answer:

Archy [21]3 years ago

6 0

The coordinates match up, as B has 3 and A also has the coordinate 3. This means they are in the line and are isosceles

You might be interested in

Use the net below to determine the surface area of the cylinder.

pentagon [3]

The correct answer should be :

Option 3 : $753.6cm^{2}$

Hope this helps,

Davinia.

6 0

3 years ago

The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?

wel

Answer:

V /(lw) = h

Step-by-step explanation:

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

4 0

3 years ago

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

2 years ago

Goran has scored 38, 27, 23, 19, and 26 points in his five basketball games so far. How many points does he need to score in his

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

(38+27+23+19+26+X)/6=27

133 + X = 162

X = 29

6 0

2 years ago

Read 2 more answers

Brums [2.3K]

Answer:

9x?lax+1)-1(2x+i)=0 p²-8p+4=0. (2x+1)(9x2-1)=0. 0-81764-40X4). (2x+1)(3x +1 (3x-1)=0 x= -1/2 x=-1/2 x=1/3. P= 843-4+213 x={-1/23 - 1 3 3 3 3 3. 4. Let 'n(x)=x2-Ox and g(x)=2x-7. Find all values of x, for which h(x) = g(x).

Step-by-step explanation:

Sheet #14-1. Quadratic Equations: Solving in Factored form. Algebra Common Core. MOVING WORDS. ... X+4 = 0 1 x +9=0 nr 3-01n-10-0 h=0 h-14=0. -4 -4 -9 -9. -3-3 tiu to. +14 114. X = -4 x=-9 n=-31 n =10 h = 14.

8 0

3 years ago

Triangle ABC has vertices A(2,3), B(8,3), C(5,8). show that the triangle is isosceles​

Triangle ABC has vertices A(2,3), B(8,3), C(5,8). show that the triangle is isosceles