Solving this problem needs the distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / √ (a^2 + b^2)
So we are given the equation: y = 2 x + 4
Rewriting this would be: y – 2 x – 4 = 0 -> a = -2, b = 1, c = -4
We are also given the points:
(-4, 11) = (x, y)
Plugging it in the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]
= 15 / √ (5)
= 6.7
So the tree is approximately 6.7 feet away from the zip line.
Answer:
View Image. The red one is the answer
Step-by-step explanation:
Your first goal is to solve for x.
Once you have the inequality for x alone, graph both of it.
Only keep the parts where both inequality overlap each others.
Answer:
7.8 x 10^4 or 7.8e4 hope this helps!
Answer:
45°
Step-by-step explanation:
A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).
For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).
Consecutive angles are supplementary that is ∠A + ∠B = 180°.
The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.
In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:
∠H = ∠J (opposite angles of a parallelogram are equal)
∠J = 45°
We need to write an expression for "add 34 and 6 and then multiply 3"
"Add" represents + operation .
"multiply" represents × operation.
We need to add 34 and 6.
So, we can write 34+6 and then we need multiply the sum by 3.
So, we need to keep above addition of 34 and 6 in parantehsis. We get
(34+6) × 3.
So, the final expression is (34+6) × 3.
