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3 years ago

Which of the following represents the length of a diagonal of this trapezoid?

Mathematics

1 answer:

seropon [69]3 years ago

5 0

Answer:

(D)

Step-by-step explanation:

Given ABCD is a trapezoid.Join the points A and C of the trapezoid together to form a diagonal of the trapezoid.Thus, Points A and C have coordinates (-a,0) and (b,c).

Using the distance formula on AC, we have

AC= $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

= $\sqrt{(b+a)^{2}+(c-0)^{2}}$

= $\sqrt{(a+b)^{2}+c^{2}}$

which is the required length of the diagonal of the trapezoid.

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If a is an odd integer and b is an even integer, which of the following makes an odd integer?

Serga [27]

9514 1404 393

Answer:

D.) a+2b

Step-by-step explanation:

The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...

A) 3(0) = 0 . . . even

B) 1 +3 = 4 . . . even

C) 2(1+0) = 2 . . . even

D) 1 +2(0) = 1 . . . odd

_____

<em>Additional comment</em>

These rules apply to even/odd:

odd × odd = odd
odd × even = even
even × even = even
odd + odd = even
odd + even = odd
even + even = even

Then A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.

7 0

3 years ago

Solve 3x − 2 = 37. please help me

lyudmila [28]

Answer:

x=13

Step-by-step explanation:

1. Isolate the variable

3x - 2 = 37

+2 = +2

2. Divide the equation by the coefficient

3x = 39

/3 /3

3. Answer

x = 13

8 0

4 years ago

Read 2 more answers

I have to solve for X?

VashaNatasha [74]

yes

95+97 =192

192+x=180

x= -12

4 0

4 years ago

If x° – 7x2 + kx + 15 is exactly divisible by (x – 3), then find the value of k.

faltersainse [42]

Answer:

k=4

Step-by-step explanation:

3 0

3 years ago

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 10 + 0.002p3 and that its dem

Radda [10]

Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

Demand function is given by

$D(p) = 50 - 0.04p^2, \text{where p is the price.}$

Supply function is given by

$S(p) = 10 + 0.002p^3$

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

$D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots$

So, at $21.85, the supply will equal to demand.

3 0

4 years ago

Read 2 more answers