What is the square root of 50
Answers
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100 times 100 times 100 times 100 times 100 times 4000
What are the domain and range of the function {(2,0), (4, - 2), (8, -2), (1, 6), (-5, 0)}?
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x - 15 = 3(x + 5)
x + 15 = 3(x - 5)
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Answer:
william is 15 now
Step-by-step explanation:
x+15 = 3(x-5)
x+15 = 3x - 15
15 = 2x-15
30 = 2x
15 = x
15-5 = 10 10*3 =30 15+15 =30
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Using the Pythagorean Theorem, the length of a square diagonal, in function of it's sides s, is given by:
The Pythagorean Theorem relates the length of the legs and
of a right triangle with the length of the hypotenuse h, according to the following equation:
In a square, as given in the figure below, the legs are the sides s, of equal measure, while the hypotenuse is the diagonal d, thus:
A similar problem is given at brainly.com/question/21691542
the original Pythagorean theorem is
that means the Pythagorean theorem for this question is:
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1) 0.67 sixty-seven hunderths
2)4.98 four and ninty- eight hunderths
3)6.007 six and seven thousandths
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Answer:
y = -4x -21
Step-by-step explanation:
Use slope intercept form:
y = mx + b
use slope from original line: y = -4x - 1 so slope is -4
use the given point (-4,-5) for the x and y values and solve for b
-5 = -4(-4) + b
-5 = 16 + b
-5 - 16 = b
-21 = b
substitute b value in slope intercept form
y = -4x - 21
b. What is the area of the paper that can be painted when the margin is 2 inches wide?
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Answer:
a. A = x² - 36x + 288
b. If x = 2; A = 220 in²
Step-by-step explanation:
a.
In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.
The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.
The area of a rectangle is A = lw (Area is length times width). Each length and width is reduced by 'x'.
If the original rice paper's area is: 24 X 12, then,
the Area that can be painted is:
A = (24 - x) (12 - x)
A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).
Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):
A = (24 - x) (12 - x)
= 288 - 24x - 12x + x² Collect like terms (-24x - 12x = -36x)
= 288 - 36x + x² Rearrange ordering greatest to least exponent value
= x² - 36x + 288 Standard form polynomial
b.
The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,
x = 2
Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.
I will use the factored form.
A = (24 - x) (12 - x) Substitute x for 2
= (24 - 2) (12 - 2) Solve inside each bracket first by subtracting
= (22) (10) Multiply
= 220 Area that can be painted
Remember to include the units: 220 in²
Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.