Answer:
For a ) y = 6x - 3
For b ) y = -2x - 10
For c ) y = -4x + 4
Step-by-step explanation:
Given:
a. y = 6x - 3
b. y = -2 (x + 5)
y = -2x - 10
c. y = 4 (-x + 1)
y = -4x + 4
To Find:
y-intercept and the slope for each equation = ?
Solution:
Slope-intercept Formula is given by
Where,
m = slope
c = y-intercept
So on comparing the Given equations with the above Equation we get
For a ) y = 6x - 3
For b ) y = -2x - 10
For c ) y = -4x + 4
Answer:
5/10 in simplist form is 1/2
Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.
- 1.74/0.25 = 6.96
- The most quarters that can fit into $1.74 is 6.
---Multiply $0.25 by 6 = $1.50
---Subtract $1.50 from $1.74 = $0.24
---We need to use the rest of the coins to fill up $0.24.
Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.
- 0.24/0.10 = 2.4
- The most dimes that can fit into $0.24 is 2.
---Multiply $0.10 by 2 = $0.20
---Subtract $0.20 from $0.24 = $0.04
No nickels can fit into $0.04, because they are worth $0.05.
We can use our least amount (pennies) to fill in the $0.04 remaining.
Your answer is 6 quarters, 2 dimes, and 4 pennies.
X = height of bush
12/3.5 = 3.2/x [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
x = 0.93 m
The height of the bush is 0.93 meters.
Best of luck.
Answer:
Height of triangle = 16 meter
Step-by-step explanation:
Given:
Area of given triangle = 96 squares meter
Base length of triangle = 12 meter
Find:
Height of triangle
Computation:
Area of triangle = (1/2)(b)(h)
Area of given triangle = (1/2)(Base length of triangle)(Height of triangle)
96 = (1/2)(12)(Height of triangle)
96 = (6)(Height of triangle)
Height of triangle = 96 / 6
Height of triangle = 16 meter
