X = apples trees
Y= azaleas
6x + 5y = 219
3x + 4y = 132
-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15
6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24
The cost for each apple tree is $24 and fit each azalea is $15
Answer:
x = 21
Step-by-step explanation:
given : angle a = 75
we need to find the value of x.
To find the value of x.
we know that it is a straight angle so the sum of angles on a line will be 180
3x + 2x + a = 180
5x + 75 = 180
5x = 180 - 75
5x = 105
x = 105/5
x = 21
Answer:
2
Step-by-step explanation:
Reflection over y axis rule
(x,y) --------> (-x,y)
Rule explained:
Simply change the sign of the x value and keep the y value as it it
Coordinates of A (-4,0)
Apply reflection over y axis rule
(-4,0) -----> (4,0)
Next we want to apply a translation with the rule ( x - 5 , y + 2 )
Explanation of rule:
Simply subtract 5 from the x value and add 2 to the y value
Current coordinates of A (4,0)
Apply translation rule
(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )
The y value of coordinate A would be 2 after all of the transformations
Answer:
C
Step-by-step explanation:
The center of inscribed circle into triangle is point of intersection of all interior angles of triangle.
The center of circumscribed circle over triabgle is point of intersection of perpendicular bisectors to the sides.
Circumscribed circle always passes through the vertices of the triangle.
Inscribed circle is always tangent to the triangle's sides.
In your case angles' bisectors and perpendicular bisectors intesect at one point, so point A is the center of inscribed circle and the center of corcumsribed circle. Thus, these circles pass through the points X, Y, Z and G, E, F, respectively.
Answer:
Slope - intercept form
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the point (2,-4) and slope 
Equation of the straight line passing through the point (x₁, y₁) and slope 'm'
y - y₁ = m( x-x₁ )
y - (-4) = 
( x-2)
⇒ 5( y+4) = 3(x-2)
⇒ 5 y +20 = 3x -6
⇒ 3x - 5 y -6-20 =0
⇒ 3 x -5y -26=0
<u><em>Step(ii):-</em></u>
Slope - intercept form
5 y = 3x -26
