Answer:
The answer is: y = 3x - 7
Step-by-step explanation:
Given point: (5, 8).
Slope m = 3
Use the point slope form and solve for y:
y - y1 = m(x - x1)
y - 8 = 3(x - 5)
y - 8 = 3x - 15
y = 3x - 15 + 8
y = 3x - 7
Proof:
f(x) = 3x - 7
f(5) = 3(5) - 7
= 15 - 7 = 8, giving (5, 8)
Answer: If the recipe wants 3/4 cup of pineapple juice for every 6/4 cups of orange juice, 18/4 is 6x more than the recipe so 6/4 must be 6x larger too.
6 x 3/2 = 18/2 or 9 cups of orange juice. Hope this helps :) Please mark brainliest if you can ;)
Answer:
2
Step-by-step explanation:
x2+3x=6
Step 1: Subtract 6 from both sides.
x2+3x−6=6−6
x2+3x−6=0
For this equation: a=1, b=3, c=-6
1x2+3x+−6=0
Step 2: Use quadratic formula with a=1, b=3, c=-6.
x=
−b±√b2−4ac
2a
x=
−(3)±√(3)2−4(1)(−6)
2(1)
x=
−3±√33
2
x=
−3
2
+
1
2
√33 or x=
−3
2
+
−1
2
√33
Answer: x=35
Step-by-step explanation:
There are 720 degrees total in a hexagon. So, all of the angles should add up to that. Write out the equation
720= (4x-5)+(117)+(3x-3)+(3x+6)+(118)+(4x-3)
720=14x+230
490=14x
x=35
hope this helped you:)
Answer:

Step-by-step explanation:
we know that
The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor
step 1
Find the length of segment BC
the formula to calculate the distance between two points is equal to

we have the points
B(1,-3),C(-3,-3)
substitute the values



The segment B''C'' is equal to the segment BC multiplied by the scale factor
The scale factor is 3
so


substitute
