Answer:
13x-2
Step-by-step explanation:
1) distribute the negative sign to each term in the second parentheses
(7x-10)-(-6x-8)
7x-10+6x+8
2) combine like terms
7x+6x= 13x
-10+8=-2
13x-2
Hope this helps!
A) area of square = base*height/////Triangle= 0.5*base*height
=(a^1/3*b^3/4)*(a^2/3*b^1/2)+(1/2*a^1/3*b^3/4*a^2/3*b^1/4)
=(a^1*b^5/4)+(1/2*a^1*b^1)
=(a*b^5/4)+(1/2*a*b)
B) a^2+b^2=c^2 (pythagorean theorem)
((27^2/3)*(16^1/4))^2 + (27^1/3)*(16^3/4)
(9*2=(18^2))=324 + (3*8= 24^2)= 576
324+576= 900
(900)^1/2= 30
hypotenuse= 30
C)( a^2/3*b^1/2)= 36*2(two sides)= 72
(a^1/3b^3/4)=24
(a^2/3*b^1/4)= 18
72+24+18+30(hypotenuse)= 144=perimeter
Answer:
11.7 m²
Step-by-step explanation:
What is the area of each triangle ?
A = b×h/2
= 5.2m×4.5m/2
= 23.4m²/2
= 11.7 m²
Answer:
68 chickens and 12 cows.
Step-by-step explanation:
Let x represents the number of chicken and y represents the number of cows in the barnyard,
Given,
Total heads = 80
⇒ x + y = 80 ------(1),
Also, total legs = 184,
Since, a chicken has two legs and cow has 4 legs,
⇒ 2x + 4y = 184 -----(2),
Equation (2) - 2 × equation (1),
We get,
4y - 2y = 184 - 160
2y = 24
y = 12
From equation (1),
x + 12 = 80 ⇒ x = 80 - 12 = 68
Hence, the number of chicken = 68,
And, the number of cows = 12
The answer in the green box should be 9.