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3 years ago

Solving a word problem using a quadratic equation with rationa...

Mathematics

1 answer:

choli [55]3 years ago

8 0

Answer:

length : 8 m

width : 13/2 = 6.5 m

Step-by-step explanation:

area of rectangle = l(ength)×w(idth) = 52

l = 2w - 5

=> (2w - 5)×w = 52

=> 2w² -5w - 52 = 0

we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4

=> (2w - 13)×(w + 4) = 0

=> 2 solutions for w :

2w-13 = 0

2w = 13, w = 13/2

w+4 = 0, w = -4

negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2

=> l = 2w - 5 = 13 - 5 = 8

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Show step by step and solve will mark brainly) 7h/12 - 4h/12=18/12

skelet666 [1.2K]

Answer:

h=6

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides:

7*h/12-4*h/12-(18/12)=0

Simplify —

h h 3

((7•——)-(4•——))-— = 0

12 12 2

Simplify ——

h h 3

((7 • ——) - (4 • ——)) - — = 0

12 12 2

Simplify ——

h h 3

((7 • ——) - —) - — = 0

12 3 2

Least Common Multiple: 12

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 7h

—————————————————— = ——

L.C.M 12

R. Mult. • R. Num. h • 4

—————————————————— = —————

L.C.M 12

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7h - (h • 4) 3h

———————————— = ——

12 12

3h 3

—— - — = 0

12 2

Find the Least Common Multiple

The left denominator is : 4

The right denominator is : 2

Least Common Multiple: 4

Making Equivalent Fractions :

Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. h

—————————————————— = —

L.C.M 4

R. Mult. • R. Num. 3 • 2

—————————————————— = —————

L.C.M 4

Adding fractions that have a common denominator :

h - (3 • 2) h - 6

——————————— = —————

4 4

h - 6

————— = 0

Now,to get rid of the denominator, multiply both sides of the equation by the denominator.

h-6

——— • 4 = 0 • 4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

h-6 = 0

Solve : h-6 = 0

h = 6

3 0

3 years ago

Which of the following best describes the intersection of two planes? (Points : 5)

charle [14.2K]

<span>In geometry, planes are two-dimensional spaces which extend infinitely. If they do not intersect at all, they are considered parallel. However, if they do intersect, that intersection come in the form of an infinitely-extending collection of 1-dimensional points, which collectively form a line. As such, the answer is "line".</span>

4 0

3 years ago

Solve the equation 13x+16y=11 for y.

klio [65]

You can’t solve this unless you have a number to plug in for y

7 0

4 years ago

Read 2 more answers

Will someone please answer (ALL) the questions that’s are highlighted? Except for 14 & 16..

Zolol [24]

Hello!

2.
To find the area of a kite we use the equation $\frac{pq}{2}$

p is the line in the kite that goes from top to bottom
q is the line in the kite that goes from left to right

put in the values

$\frac{10 * 11}{2}$

Multiply

$\frac{110}{2}$

Divide

55

The answer is 55
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4.

I believe the answer is 770 yds squared
------------------------------------------------------------------------------------------------------
6.

The ratio is 12:7
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8.

I do not know how to do 8 sorry
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10.
I can't see the whole picture put I will do my best

Since the angle inside the circle is 50° the side is also 50°
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12.
I do not know how to do 12 sorry

Hope this helps!

7 0

4 years ago

If 3,a-1,a+1 and 5 are pproportional,then a =?

babymother [125]

Answer:

a = ± 4

Step-by-step explanation:

Expressing the proportion in fractional form

$\frac{3}{a-1}$ = $\frac{a+1}{5}$ ( cross- multiply )