Answer:
y=-5x-2
Step-by-step explanation:
y=mx+b
where m is the slope
y=-5x+b
to solve for b, which is the y intercept, plug in (1,-7)
-7=-5(1)+b
-7=-5+b
-2=b
y=-5x-2
So, We Have A Rate That We Need To Simplify. We Have:
88 students for every 4 classes
So, We Need To Simplify This Rate. In Order To Do This, We Need To Change Is To A Fraction. It Is:
88 students
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4 classes
Now, We Have To Simplify. We Can Do That By Remembering How To Simplify Fractions.
So,
88 ÷ 2 = 44 ÷ 2 = 22 students
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4 ÷ 2 = 2 ÷ 2 = 1
So, The Unit Rate For 88 Students For 4 Classes Is:
22 Students For One Class
You can just do the inverse operation. 39 divied by 10 = 3.9
so 3.9 *10 =39
hope it helped
Answer:
The sides are 30 ft, 40 ft and 50 ft.
Step-by-step explanation:
The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.
Using Pythagoras theorem the length of the sides can be found.
a² + b² = c²
(x - 4)² + (x + 6)² = (2x - 18)²
(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)
x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324
2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324
2x² + 4x + 52 = 4x² - 72x + 324
2x² - 4x² + 4x + 72x + 52 - 324 = 0
-2x² + 76x - 272 = 0
2x² - 76x + 272 = 0
divide through by 2
x² - 38x + 136 = 0
find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.
x² - 4x - 34x + 136 = 0
x(x - 4) - 34(x - 4) = 0
(x - 4)(x - 34 ) = 0
x = 4 or 34
we can only use 34 since using 4 will result to negative number.
x - 4 = 34 - 4 = 30 ft
x + 6 = 34 + 6 = 40 ft
2x - 18 = 68 - 18 = 50 ft
