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Elza [17]
3 years ago
10

The length of a rectangle is 1 ft less than twice the width, and the area of the rectangle is 21 ft2 . Find the dimensions of th

e rectangle.
Mathematics
1 answer:
tatuchka [14]3 years ago
8 0
We normally think of 3x7, but the "7" is one more than 2 widths ... double the 3 and halve the 7 ==> 6 by 3.5 works ...
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a shade if orange paint is made with 6 parts red paint and 2 parts yellow paint. what percent of the paint is red
Wewaii [24]

Answer:

there is 8 parts total

6/8 red 2/8 yellow

6/8 = 0.75

0.75 X 100 = 75%

4 0
3 years ago
If 2i is a zero of f(x)=x^4+x^2+a, find the value of a
Sedbober [7]

By the polynomial remainder theorem, because <em>x</em> = 2<em>i</em> is a zero of <em>f(x)</em>, we have no remainder upon dividing <em>f(x)</em> by <em>x</em> - 2<em>i</em>.

Computing the quotient yields

\dfrac{x^4+x^2+a}{x-2i} = x^3+2ix^2-3x-6i+\dfrac{12+a}{x-2i}

Then if the remainder term is 0, follows that <em>a</em> = -12.

5 0
3 years ago
Write an expression equivalent to 3(x-7)
maria [59]

Answer:

3x-21

Step-by-step explanation:

3*x+3*(-7)=3x-21

5 0
4 years ago
Read 2 more answers
Which points satisfy this linear-quadratic system of equations? x + y = 1 y = 4x − 3 − x2
zhenek [66]
Y = 4x - 3 - x^2
now sub that in for y in the other equation
x + y = 1
x + 4x - 3 - x^2 = 1
-x^2 + 5x - 4 = 0
(-x + 1)(x - 4) = 0

-x + 1 = 0       y = 4x - 3 - x^2
-x = -1            y = 4(1) - 3 - 1^2
x = 1              y = 4 - 3 - 1 = 0

x - 4 = 0        y = 4x - 3 - x^2
x = 4             y = 4(4) - 3 - 4^2
                     y = 16 - 3 - 16
                      y = -3

points that satisfy this are : (1,0) and (4,-3)
8 0
3 years ago
Please help <br><br> Solve. 4.5(x + 2.5) – X = X – 65
yuradex [85]

Answer:

x = −30.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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