Answer:
24, 204
Step-by-step explanation:
to find the height
we would use the heron formula when all the sides are given
S which is equal to half of the perimeter of the triangle which is (a+b+c)/2.
S = (17+ 25+ 26)/2 = 68/2 = 34
Area = √S(S-A)(S-B)(S-C)
Area= (1/2)bh
we equate it back to the formula Area = √S(S-A)(S-B)(S-C)
it becomes
(1/2)bh = √S(S-A)(S-B)(S-C)
A = IABI= 25
B= IBCIM = 26
C= IACI = 17
b = base = IACI = 17
S = 34
(1/2)bh = √S(S-A)(S-B)(S-C)
(1/2)17h = √34(34-25)(34-26)(34-17)
(17/2)h = √34(9)(8)(17) = √34 x 9 x 8 x 17
(17/2)h = √41616 = 204
17h/2 = 204
17h = 204 x 2 = 408
h = 408/17 = 24 inch
height = h = IBDI = 24 in
Area = (1/2)bh
= (1/2) x 17 x 24
= 12 x 17 = 204 or we use the heron formula just like the above which we get 204 before multiplication by 2.
I'm going to assume the 4 and 3 are exponents and the expression is
.
The first step is to separate the coefficients of 3 and -6 from the variables and to multiply those as normal:
![3 \cdot (-6) = -18](https://tex.z-dn.net/?f=3%20%5Ccdot%20%28-6%29%20%3D%20-18)
As for the variables, you want to recognize that
means
and
means
, so
![a^4 \cdot a^3 = \left( a \cdot a \cdot a \cdot a\right) \cdot \left(a \cdot a \cdot a\right)](https://tex.z-dn.net/?f=a%5E4%20%5Ccdot%20a%5E3%20%3D%20%5Cleft%28%20a%20%5Ccdot%20a%20%5Ccdot%20a%20%5Ccdot%20a%5Cright%29%20%5Ccdot%20%5Cleft%28a%20%5Ccdot%20a%20%5Ccdot%20a%5Cright%29)
In total, there are 7 a's being multiplied, so
![a^4 \cdot a^3 = a^{4+3} = a^7](https://tex.z-dn.net/?f=a%5E4%20%5Ccdot%20a%5E3%20%3D%20a%5E%7B4%2B3%7D%20%3D%20a%5E7)
Putting this all together, we have:
![\left(3a^4\right)\left(-6a^3\right) = 18a^7](https://tex.z-dn.net/?f=%5Cleft%283a%5E4%5Cright%29%5Cleft%28-6a%5E3%5Cright%29%20%3D%2018a%5E7)
2(x+p)^2+q=2x^2+4px+(2p^2+q), compare with ..... 2x^2 + 8x+3 p=2,W=3-2p^2=-5, so the result is 2(x+2)^2-5
Answer:
r ≥ -9
Step-by-step explanation:
![8r-(5r+4)\geq -31\\8r-5r-4 \geq -31\\3r - 4 \geq -31\\3r \geq -27\\r \geq -9](https://tex.z-dn.net/?f=8r-%285r%2B4%29%5Cgeq%20-31%5C%5C8r-5r-4%20%5Cgeq%20-31%5C%5C3r%20-%204%20%5Cgeq%20-31%5C%5C3r%20%5Cgeq%20-27%5C%5Cr%20%5Cgeq%20-9)
Y=3/1x+3
because slope = 3/1
y intercept = 3
use y=mx+b