5+3x/4
5x+1/2(1/4+10). Distributive property
5x+x/8+5. Combine like terms
5+3x/4
Answer:
C
Step-by-step explanation:
x^2 + (x+3)^2 = 117
x^2 + x^2+6x+9 =117
2x^2 + 6x - 108 = 0
(2x-12)(x+9)=0
x=-9,6
x cannot be negative therefore, x = 6
Answer:
Measure angle B = 65 degrees AB = 34 AC = 30
Step-by-step explanation:
Triangle Sum Theorem: 180 - 90 - 25 = 90 + 25 + 65 = 180
Tangent 25 = 16/x
AB = 34
Pythagorean Theorem Equation:
![b =[]\sqrt{34^{2} - 16^{2}}= \sqrt{900}= 30](https://tex.z-dn.net/?f=b%20%3D%5B%5D%5Csqrt%7B34%5E%7B2%7D%20-%2016%5E%7B2%7D%7D%3D%20%5Csqrt%7B900%7D%3D%2030)
AC = 30
Answer:
x > -4
Step-by-step explanation:
Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:
3x + 7 > -x -9
3x + 7 - 7 > -x -9 -7 Subtract 7 from both sides
3x > -x -16
3x + x > -x -16 + x add x to both sides
4x > -16
>
divide both sides by 4
x > -4
In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.
Answer:
1012.5
Step-by-step explanation: