Answer:
B = (-1, 0)
C = (1, 0)
Step-by-step explanation:
<u>Properties of an Equilateral Triangle</u>
- Three sides of <u>equal length</u>
- All interior angles are 60°
<u>Given</u>:
- ΔABC is an equilateral triangle
- Vertex A is at (0, √3)
Drawing an altitude from vertex A divides the triangle into two 30-60-90 triangles.
A 30-60-90 triangle is <u>special right-angled triangle</u> where:
- Angles are in the ratio 1 : 2 : 3
- Sides are in the ratio 1 : √3 : 2
Therefore, the formula for the sides is: b : b√3 : 2b, where:
- b = shortest side opposite the 30° angle
- b√3 = side opposite the 60° angle
- 2b = longest side (hypotenuse) is opposite the right angle
As Vertex A has the co-ordinates (0, √3), the <u>side opposite the 60° angle</u> is √3 units.
Using the ratios to find b (shortest side length):
b√3 = √3 ⇒ b = 1
As the altitude divides BC into two equal line segments, and the length of the shortest side of the right triangles is 1 unit, the coordinates of B are C are:
Learn more about the 30-60-90 triangle here:
brainly.com/question/27942542
brainly.com/question/27976403
<span><span>1.
</span>There are many ways of solving this kind of
division problem. But I will showing the easiest one.
15.75 divided by 0.25
=> In every 1 whole number, there are 4 of 0.25
Now we have 15 as whole number so simply multiply 15 x 4
=> 15 * 4 = 60, there are 60 pieces of .025s in 15.
=> 0.75 has 3 0.25s
Now, let’s add 60 + 3 = 63, the answer is 63.
There are 63 pieces of 0.25 in 15.75.
Let’s check
=> 15.75 / 0.25
=> 63</span>
If the number is 200 more than 355, then your number is 555.
How did I get that?
355 + 200 = 555
Answer:
y = −55x + 275
The initial value is 5
Mike's distance from home when he begins cycling
Step-by-step explanation:
The equation of a line is
y= mx+b where m is the slope and b is the y intercept
The y intercept is 275
Two points are (0,275) and (5,0)
The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55
y = -55x+275
The initial value is when x = 0
When x = 0 , y = 5
y = 12-2x
Rewriting
y = -2x+12
This is in the form y = mx +b where the slope is -2 and the y intercept is 12
12 is the initial value or when x = 0. It would be the distance that he needs to cover. He needs to go from the library to his house.
P(x) = 25^2 -24x + 615
P(8) = 25(8 squared) -24(8) +615 = 2023
