this is a 2x2 system of equations.
Let:
-2x = 4y + 6 (1)
and
2(2y+3) = 3x - 5 (2)
Let's rewrite (1) as:
2x + 4y = -6 (1)
and (2) as:
3x - 4y = 11 (2)
Now, from (1)
Let's solve for x:
2x + 4y = -6
Subtract 4y from both sides:
2x + 4y - 4y = -6 - 4y
2x = -6 - 4y
Divide both sides by 2:
2x/2 = (-6 - 4y)/2
x = -3 - 2y (3)
Replacing (3) into (2)
3x - 4y = 11
3(-3 - 2y) - 4y = 11
Using distributive property:
-9 - 6y - 4y = 11
Add like terms:
-10y - 9 = 11
Add 9 to both sides:
-10y - 9 + 9 = 11 + 9
-10y = 20
Divide both sides by -10:
(-10y)/-10 = 20/-10
y = -2
Finally, replace the value of y into (3)
x = -3 - 2y
x = -3 - 2(-2)
x = -3 + 4
x = 1
Therefore the solution is :
x= 1 and y=-2
(x,y) = (1,-2)
Answer:
both 17 and 19 are right triangles because they both have a right angle
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
4 dozen cookies is 4*12 = 48.. Each cookies has 3 cookies. This requires 3*48 = 144. She has 4 jars of 40 each or 4*40 =160. So she has enough.
Answer:
a) AAS b) SAS d) LL f) LA
Step-by-step explanation:
Given is a diagram containing two right triangles.
ABC, DEF are the triangles
Given that
AB=DE
AC=DF
Angle A = Angle D (right angle)
Angle B = Angle E
Hence we have for two sides, one angle so ASA
Or two legs and containing angle hence SAS
Also right triangle, one acute and one leg so LA axiom
Besides, two legs equal in right triangle, so LL axiom
Answer:
Given, length, l = 3/8 inches
breadth, b =2/3 inches
We have
area = l × b
= 3/8 × 2/3
= 6/24
