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Natali5045456 [20]
3 years ago
5

Jack's living room is 16 feet. By 20 feet long if a scale drawing of his living room uses a scale of 3/4 inches = 6feet ,find th

e demention of his living room on the drawer
Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

The dimension of the drawer is 2 inches by 2.5 inches

Step-by-step explanation:

Here, we want to find the dimension of the living room

Mathematically, the scale to be used is;

3/4 inches to 6 feet

So let’s calculate the dimensions now;

3/4 inches is 6 feet

x inches will be 16 feet

3/4 * 16 = 6 * x

12 = 6x

x = 12/6 = 2 inches

For the 20 feet;

3/4 inches = 6 feet

x inches = 20 feet

3/4 * 20 = 6 * x

6x = 15

x = 15/6

x = 5/2 = 2.5 inches

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The eqution of the diagonal of a parallelogram is 3y=5x +k. The two opposite vertices of a parallelogram are the points (1,-2),
astraxan [27]

Answer:

k = 1

Step-by-step explanation:

Given

3y = 5x + k

Opposite points: (1,-2) and (-2,1)

Required

Find k

First, calculate the midpoint of the opposite points.

(x,y) = 0.5(x_1 + x_2,y_1 + y_2)

This gives:

(x,y) = 0.5(1 -2,-2 + 1)

(x,y) = 0.5(-1,-1)

Open bracket

(x,y) = (-0.5,-0.5)

The equation 3y = 5x + k becomes:

3 * -0.5 = 5 * -0.5 + k

-1.5 = -2.5 + k

Solve for k

k = 2.5-1.5

k = 1

4 0
2 years ago
What is the equation of the horizontal asymptote? f(x)=4(52)x+7<br> y=?
natta225 [31]

ANSWER

y=7

EXPLANATION

The horizontal asymptote of an exponential function

f(x)= a {(b)}^{x}  + c

is y=c.

The given exponential function is

f(x)= 4 {(52)}^{x}  + 7

When we compare to

f(x)= a {(b)}^{x}  + c

c=7, therefore the horizontal asymptote is y=7.

4 0
3 years ago
1/x + 1/3x =6 how do you solve this equation for x
Elodia [21]

Answer:

x = 2/9 (or = 0.222)

Step-by-step explanation:

1/x + 1/(3x) =6  (multiply both sides by 3x)

(1/x) (3x)  + [1/(3x)](3x) =6 (3x)

3 + 1 = 18x

4 = 18x

x = 4/18

x = 2/9 (or = 0.222)

3 0
3 years ago
Find the sum or difference <br> 31/4+42/4=
Alex73 [517]

The sum of 31/4+42/4= 18.25

<u>Step-by-step explanation</u>:

  • The denominators are same.
  • Then add the numerators and keep the denominators same.

The sum of (31/4) + (42/4) = (31+42)/4

⇒ 73/4

⇒ 18.25

8 0
3 years ago
PLEASE HELP! WILL MARK BRAINLIEST!!
Alecsey [184]

Answer:

The y-intercept is (0,1).  The x values at the horiz. intercepts are:

{ (-3+√5)/2, (-3-√5)/2 }.  Graph is that of a parabola that opens down.

Step-by-step explanation:

It'd be helpful to rewrite f(x) = 3-x2+3x-2 with the powers of x in descending order and using " ^ " to denote exponentiation:

f(x) = -x^2 + 3x -2 + 3, or

f(x) = -x^2 + 3x + 1

y-intercept:  let x = 0.  Then f(0) = 1.  The y-intercept is (0,1)

x-intercepts:  let y = f(x) = 0 = -x^2 + 3x + 1.  Let's use the quadratic formula with a = -1, b = 3 and c = 1 to determine the roots of this polynomial.  The discriminant, b^2-4ac, is 9-4(1)(1), or 5.

Thus, there are two real, unequal roots.  They are:

       -3 plus or minus √5

x =  ---------------------------------

                     2


or { (-3+√5)/2, (-3-√5)/2 }

These are your two horizontal intercepts, where the function is zero.

Because the coefficient -1 of the x^2 term is negative, the parabola representing this function opens down.

8 0
3 years ago
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