Answer:
x=34
Step-by-step explanation:
1. formula for Pythagorean Theorem for right trangles is <u>a^2+b^2=c^2</u>
2. a=30 and b=16, so (30)^2+(16)^2=c^2
3. (30)^2=900 and (16)^2=256
4. 900+256=1156
5. 1156=c^2
6. 
7. the square root of 1156 is 34, so c=34
8. The missing side of the triangle, labeled as "x<em>"</em> is 34
Answer: x = 19
Step-by-step explanation:
5(-12x+3) + 6(10x + 7) = 9 - x + 3x + 10 Distribute on the left side
-60x + 15 + 60x + 42 = 9 + 2x + 10 combine like terms on the left side
57 = 9 + 2x + 10 Now combine like terms on the right side
57 = 2x + 19 Subtract 19 from both sides
-19 -19
38 = 2x Divide both sides by 2
x = 19
Y=ax+b
3=-8(0)+b
3=0+b
3=b
Y=-8x+3
(I think this is right, but u might want to double check)
Answer:
422
Step-by-step explanation:
Large rectangle
A = 2(lw+wh+lh)
A = 2(7*10+10*5+7*5)
A = 310
Small rectangle
A = 136
Now the squares that connect both, 4*3
Since you have 1 on each rectangle, the total area for this is 24
add 310 + 136 and substract 24