Answer:
AC = 13 units
Step-by-step explanation:
A(0 , -4) ; c(5 , 8)
Distance = 
![= \sqrt{(5-0)^{2}+(8-[-4] )^{2}} \\\\\\= \sqrt{5^{2}+(8+4)^{2}} \\\\\\=\sqrt{5^{2}+12^{2}}\\\\= \sqrt{25 + 144}\\\\= \sqrt{169} = 13 \\\\\\](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%285-0%29%5E%7B2%7D%2B%288-%5B-4%5D%20%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%20%5Csqrt%7B5%5E%7B2%7D%2B%288%2B4%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%5Csqrt%7B5%5E%7B2%7D%2B12%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B25%20%2B%20144%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B169%7D%20%3D%2013%20%20%20%5C%5C%5C%5C%5C%5C)
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of <em>c</em>, the constant, that sum to <em>b</em>, the coefficient of <em>x</em>. Our <em>c</em> is 100 and our <em>b</em> is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when <em>x</em>=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Answer:
35 kgs.
Step-by-step explanation:
That is simply 5 * 7 = 35 kgs.
I believe it is 48.
0+3=3
3+5=8
8+7=15
15+9=24
24+11=35
35+13=48
Answer:
HL
Step-by-step explanation:
Use the HL Congruence Theorem to prove that the triangles are congruent.
