Answer: $5
Step-by-step explanation: This can be represented by the equation
40 + 12T = 25 + 15T
We just solve for T.
Subtract 12T from both sides
40 = 25 + 3T Subtract 25
15 = 3T Divide by 3
5 = T
The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
brainly.com/question/1559324
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Answer:
x = 1.8
Step-by-step explanation:
2 ( 4x-3) - 8 = 4-2x
Distribute
8x -6 -8 = 4- 2x
Combine like terms
8x - 14 = 4 - 2x
Add 2x to each side
8x - 14 +2x = 4-2x+2x
10x-14 = 4
Add 14 to each side
10x-14+14 = 4+14
10x = 18
Divide by 10
10x/10 = 18/10
x = 1.8
Given parameters:
y varies directly as w;
This interpreted implies that as y increases, we increases by a certain factor or amount;
So, y ∝ w
y = kw
where k is the constant of proportionality
Now, given that y = 8 and w = 2
Input in the equation to solve for k;
8 = k x 2
Solving k gives, k = 4
Now to the second part,
if v is directly proportional to w;
v = k w
So v = 4w
The equation that relates v to w is v = 4w
Answer:
14
Step-by-step explanation:
Since all sides are half of greater triangle.Then 7 × 2 = 14 is length of greater hypotenuse.
Suppose two triangles with similar conditions
1^2+1^2=2
Hypotenuse=2^1/2
We assume another triangle which is exactly double of previous triangle I.e
2^2+2^2=8
Hypotenuse=2×2^1/2
Which is exactly twice of previous triangle.
Hence proved hyootenuse is double of smaller triangle I.e 14
