P = 2l + 2w
p - 2w = 2l
l = p-2w/2
It would be the third response
Answer:
It will increase by 12 every week, 57 is just what she already had, or in slope-intercept form, 57 is b
Step-by-step explanation:
The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given
Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known
Here, if we use cos x =
we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star
Note: cos values for each x are definite.
Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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Answer:
Step-by-step explanation:
Answer:
The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Step-by-step explanation:
Given;
number of cups of sugar = s
number of cups of water = w
The relationship between the number of cups of water and sugar in this recipe is given as;
½ cup of sugar is proportional to 1 ½ cups of water
Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)