Answer:
that is the answer
mark me as brainliest kid
Answer:
The answer is 3) 40.
Step-by-step explanation:
since you're working with the Pythagorean theorem, you should know that a^2+b^2=c^2, therefore, we know that we only have two sides. we have a and c. we know that a = 42 and c = 58, giving us the equation of 42^2+b^2=58^2,
we want to find b!
so we would simply subtract the two.
58^2 - 42^2 = b
b = 1600
now we want to square root,
b = sqrt1600
which in the end, gives us the answer of 40.
It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of <span><span>12</span><span>12</span></span>.
<span><span>1) multiply both coordinates by scale factor<span>(<span><span>2⋅<span>12</span>,4⋅<span>12</span></span><span>2⋅<span>12</span>,4⋅<span>12</span></span></span>)</span></span><span>2)
2. Simplify(1,2)</span><span>3)
3. Graph(if required)<span> </span></span></span>
21x -15 + 5 = 10x - 5
21x -5 = 10x
11x = 5
x = 5/11
Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y
