Answer:
10.63
Step-by-step explanation:
Pythagorean Theorem:
- Base is 7
- Height is 8
- 7^2+8^2=c^2
- 49+64=c^2
- 113=c^2
- √113=c
- √113 is about 10.63
Answer: x-intercept = (3,0); y-intercept = (0,7)
Step-by-step explanation:
-3y = 7x - 21
y = -7/3 x + 7 (divide both sides by -3)
y-intercept = (0,7) (y = mx + b; b is always y-intercept)
0= -7/3 x + 7 (plug in 0 for y to get x-intercept)
-7/3x = -7 (subtract 7 from both sides)
x = 3 (divide both sides by -7/3)
x-intercept = (3,0)
Let’s start with “five more than a number x.” This translates to:
x + 5
This is “less than” 17, so we insert the corresponding symbol and add 17 to the right side of the equation:
x + 5 < 17
This is the translation of the inequality. Now we have to solve it. To do so, simply subtract 5 from both sides of he equation:
x + 5 ( – 5 ) < 17 ( – 5 )
x < 12
This is the solution to the translated inequality.
I hope this helps!
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