Answer:
x ≈ 10.7 ft.
Step-by-step explanation:
Given triangle in the picture is a right triangle.
By applying Pythagoras Theorem in this triangle.
(Hypotenuse)² = (Leg 1)² + (Leg2)²
(14)² = x² + 9²
x² = (14)² - 9²


x = 10.72
x ≈ 10.7 ft.
Answer:
x = - 1
Step-by-step explanation:
Given
4x = x^2 - 5 Transfer 4x to the right side.
Solution
x^2 - 4x - 5 = 0 Factor
(x - 5)(x + 1)
You want the negative solution. That means that the middle sign must be plus.
x + 1 = 0 Subtract 10 from both sides
x = - 1 Ten on the left disappears by the subtraction process.
Is that correct?
4x = x^2 - 5
x = - 10
4*(-1) = (-1)^2 - 5
-4 = ? 1 - 5
-4 = - 4
and it does work.
Answer:
y = 3x+7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 3x+7
Answer:
C = 125S + $3750
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported. C is the cost; S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125