121=11 81=9 its easy if u have a calculator
Answer:
The distance from the house to the school is 500 units
Step-by-step explanation:
The distance we want to calculate represents the hypotenuse of the right triangle
So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse
The base side measures (350-50 = 300 units)
The measure of the height is (450-50 = 400 units)
Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have it that;
h^2 = 300^2 + 400^2
h^2 = 90,000 + 160,000
h^2 = 250,000
h = √250,000
h = 500 units
Answer:black
Step-by-step explanation:
Answer: option C is the correct answer.
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
Slope = (y2 - y1)/(x2 - x1)
Slope = (8 - 5)/(4 - 0) = 3/4
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3, 9) is 3/4
To determine the y intercept, we would substitute m = 3/4, x = - 3 and y = 9 into y = mx + c. It becomes
9 = 3/4 × - 3 + c
9 = - 9/4 + c
c = 9 + 9/4
c = 45/4
The equation becomes
y = 3x/4 + 45/4