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il63 [147K]
4 years ago
10

Consider the following conditional statement

Mathematics
1 answer:
muminat4 years ago
8 0

Answer:

Step-by-step explanation:

if a=-10;then:

a+1=-10+1=-9=b

-9>-10

if a=10; then

a+1=10+1=11=b

11>10

A)The pair of values for a and be are: a=-10, then the value of b would be: -9;

And a=10; then the value of b would be:11;

B) It isn´t possible to create a pair of values for a and be, in wich the numerical relationship shown in the given conditional stament is false, therefore b>a if a+1=b

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The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the r
zhenek [66]

Answer:

  • The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

\\  { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length  × width}}}}}} \\ \\

Substituting values in above formula:

\\ \dashrightarrow \sf \: \:  (3 + 2x)(x)  = 54  \\

\dashrightarrow \sf \: \: 3x +  2x^2 = 54 \\

\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\

\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\

\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\:

\dashrightarrow \sf \: \: 2x(x + 6)  -9(x + 6) = 0\\

\dashrightarrow \sf \: \: (2x -9)(x+6) = 0  \\

\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}}

\dashrightarrow  \:  \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}

Hence,

  • Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 m
  • Width of the rectangle = x = 4.5m

\\ { \underline{  \pmb{ \frak{ \therefore Length \:  and \:  width  \: of  \: the  \: rectangle  \: is \:12 \: m \: and \:  4.5 \: m}}}} \\

5 0
2 years ago
Read 2 more answers
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 squar
Aneli [31]

Answer:

The correct answer is C.

Step-by-step explanation:

Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their <em>widths</em> are greater than their <em>lengths</em> by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is 2(l+w), which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is 2(20+12) = 2*32 = 64ft, so choice C is the correct answer.

4 0
3 years ago
Item 3
miss Akunina [59]

Answer:

By an online search, i found that the options are:

Option A. A(10)

Option B. A(11)-A(9)

Option C. A(10)/10

Option D. A’(10)

Let´s start by defining the concept of a derivative.

When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.

Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.

Particularly, A´(10), will be the rate of change at t = 10.

Then the correct option is: Option D. A´(10)

8 0
3 years ago
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open
Stells [14]

Answer: After 7 hours, 175 customers had been in the store.

Step-by-step explanation:

Did the quiz, Trust me.

8 0
3 years ago
Read 2 more answers
This is so stressful, i’ve tried everything and I don’t get this at all.
yuradex [85]
N = 5

These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is

5/12.5 = 4/10 = 2/5

So if AB corresponds to QR (2 corresponds to n) then n = 5
5 0
2 years ago
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