Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find f(0)
we know that
Looking at the data in the table
When the value of x increases by 1 unit, the value of y increases by 3 units
therefore
When the value of x decreases by 1 unit from 1 to 0, the value of y would decreases 3 units from 5 to 2
thus
This value represent the y-intercept
Part 2) Find the equation of the given linear
Find the slope
take the points (1,5) and (2,8)
The equation of the line in slope intercept form is equal to
we have
substitute
7-(-7)=7+7=14. So the answer is 14
Answer:
3. 10 - 5 is 5. so that is the difference. difference means subtraction.
4. 108 - 30 = 78. so she can move 78 degrees miore after therapy because 108 minues 30 is 78
5. 99 because 180 - 81 = 99. there is always 180 degrees in a line angle.
6. 130 degrees. 25 + 25 = 50 so 180 minus 50 equals 130
Step-by-step explanation:
[ Answer ]
[ Explanation ]
4(y + 6) - 2(y - 2)
[Expand] 4(y + 6): 4y + 24
4y + 24 - 2(y - 2)
[Expand] -2(y - 2): -2y + 4
4y + 24 - 2y + 4
[Simplify] 4y + 24 - 2y + 4: 2y + 28
= 2y + 28
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Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
