First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.
Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1
Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
The wide of the model should be approximately 5.194 inches
Step-by-step explanation:
You are building a scale model of a fishing boat
- The boat is 62 ft long
- The boat is 23 ft wide
- The model will be 14 in long
We need to find how wide should it be
∵ The boat is 62 feet long
∵ The model of the boat is 14 inches long
- That means 14 inches represents 62 feet
By using the ratio method
→ Actual (ft) : Model (in)
→ 62 : 14
→ 23 : x
By using cross multiplication
∵ 62 × x = 23 × 14
∴ 62 x = 322
- Divide both sides by 62 to find x
∴ x ≅ 5.194
∵ x represents the wide of the model
∴ The wide of the model is approximately 5.194 inches
The wide of the model should be approximately 5.194 inches
Learn more:
You can learn more about the scale drawing in brainly.com/question/570757
#LearnwithBrainly
122/4=30.5
30x3=91.5
Piece 1= 30.5in.
Piece 2= 91.5in
It looks like the differential equation is
Check for exactness:
As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that
*is* exact. If this modified DE is exact, then
We have
Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :
The modified DE,
is now exact:
So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that
Integrate both sides of the first condition with respect to <em>x</em> :
Differentiate both sides of this with respect to <em>y</em> :
Then the general solution to the DE is
3 quarts.
4 cups equal 1 quart according to the US standards.
Using that, we get an equation like:
4c = 1q
if you want 12 cups, you have to multiply the left side by 3 meaning you would also have to multiply the right side by 3.
3(4c) = 3(1q)
12c = 4q
you get 12 cups equals 4 quarts.
