Think of 6y as
y + y + y + y + y + y
Now subtract a y from that.
y + y + y + y + y + y - y = y + y + y + y + y = 5y
1st equation—x, substitute y:
<span>3x + 2(x + 3) = 16 </span>
<span>3x + 2x + 6 = 16 </span>
<span>5x = 10 </span>
<span>x = 2 </span>
<span>y in the above equation: </span>
<span>= 2 + 3 </span>
<span>= 5 </span>
<span>Answer: x = 2, y = 5</span>
Answer:
<h2>120 square meters</h2>
Step-by-step explanation:
To find the SA of 2 Triangles, we will use the formula... B x H, and the Base and Height is going to be the dimensions of just 1 triangle, but it's going to give the answer for 2 triangles, in this shape, we have 2 triangles.
SA = B x H
= 6 x 4
= 24
24 square meters for both of the triangles
Now, let's find the SA of the rectangle on the bottom...
SA = L x W
= 6 x 6
= 36
36 square meters for 1 of the 3 rectangular parts, the one on the bottom
Now, lets find the SA of the 2 rectangles on the top. We'll use the dimensions of 1 rectangle and find the answer for 2 answers by using the formula...
SA = L x W x 2
= 6 x 5 x 2
= 30 x 2
= 60
60 square meters for the 2 rectangles on the top.
Now, we have to add all of our answers.
24 + 36 + 60 = 120 square meters
<h2>
Hence, the SA (surface area) of this shape is 120 square meters.</h2>
~Brainly Master - Helping Students~
Answer: The lines through the pairs of points are perpendicular.
Step-by-step explanation: The lines when graphed do not have the same slope so they can not be parallel. However, when graphed the points (-3, 5) and (-1, 0) goes through the midpoint of the points (-3,1) and (2,3) meaning that the above points are perpendicular! Hope this makes sense and helps.
They will have the same amount of money after 7 weeks.
We first set these equal to each other:
36+4x=x²+15
We want to gather all of the variables on one side. Subtract 4x from both sides:
36+4x-4x=x²+15-4x
36=x²-4x+15
We want the equation to be equal to 0 to solve it, so subtract 36 from both sides:
36-36=x²-4x+15-36
0=x²-4x-21
We can factor this expression. We want factors of -21 that sum to -4; -7(3)=-21 and -7+3=-4:
0=(x-7)(x+3)
Using the zero product property, we know that x-7=0 or x+3=0; this means x=7 or x=-3. Since a negative number of weeks makes no sense, the answer is 7 weeks.
