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erma4kov [3.2K]
3 years ago
9

the ratio of the length and the width of a rectangle is 2:5. If the rectangle has a perimeter of 98 inches, what is the area of

the rectangle?
Mathematics
1 answer:
elixir [45]3 years ago
8 0
The sum of length and width is (98 in)/2 = 49 in.
The length is 2/(2+5) times the sum of length and width, so is 2/7*49 in = 14 in.
The width is 5/7*49 in = 35 in.

The area of the rectangle is (14 in)*(35 in) = 490 in².
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What is the y-intercept of the line 7 − 5 = 35?
sergejj [24]

Answer:

There is none

Step-by-step explanation:

3 0
3 years ago
A power of 10 with a positive exponent will produce a number that is
Elena-2011 [213]
Example 10 to the 4th power
4 0
3 years ago
What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7
Alexxx [7]

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

3 0
2 years ago
Which function has zeros -4 and 2
zvonat [6]
A function with zeroes at z1 and z2 can be factored into form
f(x)=a(x-z1)(x-z2)
where a is a constant

so
it is
f(x)=a(x-(-4))(x-2) or
f(x)=a(x+4)(x-2)

7 0
3 years ago
Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52
IRISSAK [1]

Answer:

The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

= \frac{5 + 6i}{4 + 6i}

Now rationalize the expression.

= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}

= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}

As i² = -1

= \frac{20-30i+24i+36}{16 + 36}

= \frac{56-6i}{52}

Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

8 0
3 years ago
Read 2 more answers
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