The tennis court can be found at the point (3,2)
The bike path is found at the point (5,2)
The equation used to the distance or slope between these points is Y2 - Y1 / X2 - X1
Now, plug in the values…
2 - 2 / 5 - 3
And solve…
1 / 2
Therefore, 1 block north and 2 blocks east.
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
<h3>Triangle ACD</h3>
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
<h3>
Triangle ABC</h3>
ΔABC is a right angle triangle too. Therefore,
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
learn more on triangles here: brainly.com/question/24304623?referrer=searchResults
Answer:
3x +(-2) = 2x + 4
Step-by-step explanation:
green sticks represents positive 3x and red boxes represents negative 2 since it's a equation modeled on adding it is shown as 3x+(-2) = 2x+4
Below are the choices that can be found elsewhere:
A.12 oz of gold and 20 oz of silver
B.10 oz of gold and 10 oz of silver
C.16 oz of gold and 30 oz of silver
<span>D.25 oz of gold and 20 oz of silver
</span>
The answer is <span>A because the points(12,20) are in the blue shaded area.
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
</span>
Answer:
y=-2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-(-3))/(1-0)
m=(-5+3)/1
m=-2/1
m=-2
y-y1=m(x-x1)
y-(-3)=-2(x-0)
y+3=-2(x)
y+3=-2x
y=-2x-3
