Answer:
y = 15x + 20 or 15x - y + 20 = 0
x = 11
Step-by-step explanation:
Line is passing through the points (0, 20) & (2, 50)
Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15
Equation of line
y - 20 = 15(x - 0)
y - 20 = 15x
y = 15x + 20 or 15x - y + 20 = 0
Plug y = 185 in above equation, we find:
185 = 15x + 20
185 - 20 = 15x
165 = 15x
x = 165/15
x = 11
Answer:
55 miles per hour
Step-by-step explanation:
Given that:
Distance from Mexico to Texas 350 miles
Miles already traveled = 75 miles
Hence, miles left ;
(350 miles - 75 miles) = 275 miles
To complete 275 miles in 5 hours ;
Speed = distance / time
Speed = 275 / 5
Speed = 55 miles per hour
For a right triangle, the sum of the squares of two shorter side should be equal to the square of the third side. The calculations for each choices are shown below.
a. (5 mm)² + (12 mm)² = 169 mm² ; (13 mm)² = 169 mm² ; EQUAL
b. (20 mm)² + (48 mm)² = 2704 mm² ; (52 mm)² = 2704 mm² ; EQUAL
c. (6 mm)² + (8 mm)² = 100 mm² ; (10 mm)² = 100 mm² ; EQUAL
d. (11 mm)² + (24 mm)² = 697 mm² ; (26 mm)² = 676 mm² ; NOT EQUAL
Therefore, the answer is letter D.
Answer:
x = 1
Step-by-step explanation:
Well the first step is to apply the distributive property:
4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.
And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.
Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.
Add the (-x) to both sides. It cancels out on the right side and you add it to 12x on the left side.
[If there's no number in front of a variable, you can always just put 1 in order to make it easier]
12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13
Finally, 13x = 13. Divide 13 ÷ 13 to get 1.
x = 1
