The solution to the equation<br>4(x + 2) =3(5-x) is:

Frank is having a raised rectangular platform built. He designed it so that the length of the platform is 4 feet longer than the

Anastaziya [24]

One system of equations would be
L = w+4
H = w-10
4H + 8(wL) = 1544
There is one viable solution; the width is 12, the length is 16, and the height is 2.

Using substitution with the system of equations, we have
4(w-10)+8(w(w+4))=1544
4w-40+8(w²+4w)=1544
4w-40+8w²+32w=1544

Combining like terms, we have
8w²+36w-40=1544

Factoring out a 4, we have
4(2w²+9w-10)=1544

Dividing both sides by 4 gives us
2w²+9w-10=386

Subtract 386 from both sides to get
2w²+9w-396=0

Using the quadratic formula, we have
$w=\frac{-9\pm \sqrt{9^2-4(2)(-396)}}{2(2)}
\\
\\=\frac{-9\pm \sqrt{81--3168}}{4}
\\
\\=\frac{-9\pm \sqrt{3249}}{4}=\frac{-9\pm 57}{4}
\\
\\=\frac{-9+57}{4}\text{ or }\frac{-9-57}{4}=\frac{48}{4}\text{ or }\frac{-66}{4}
\\
\\=12\text{ or }-16.5$

Since a negative width makes no sense, we know that w=12.

This means L=w+4=12+4=16 and H=w-10=12-10=2

5 0

4 years ago

A rectangle has a perimeter of 14centimeters and an area of 10 square cm. find its dimensions

WARRIOR [948]

Perimeter is all the way around and area is l x w

So 5 x 2 would be 10.....and 5 + 5 + 2 + 2 = 14

So the dimenstions are 5 x 2

5 0

4 years ago

If Jenny has 43 apples, and gives 12 to John. How many apples does Jenny have left ?

jonny [76]

Answer:

Well, if Jenny starts out with 43 apples but then gives 12 to John that would leave Jenny with 31 apples.

Step-by-step explanation:

43 - 12 = 31

(40 - 10) + (3 - 2)

40 - 10 = 30

3 - 2 = 1

30 + 1 = 31

Here is your answer, have a nice day!

6 0

2 years ago

Please help I will give brainliest to the right answer!!!

timama [110]

Answer:

Step-by-step explanation:

Given function l:

h= -16t² + 26t

where h represents height and t represents time.

The time for dolphin atbthe height 5 feet is given by putting the value of h as 5 in the function,

5 = -16t² + 26t

16t² - 26t + 5 = 0

For this equation: a=16, b=-26, c=5

Use quadratic formula with a=16, b=-26, c=5.

x=(−b±√b2−4ac)/2a

x=−(−26)±√(−26)2−4(16)(5)/2(16)

x=13/16 + 1/16√89 or x=13/16+ −1/16√89

x=1.40 or 0.22

5 0

3 years ago

Look at the image for the question. Show all that apply + explanation to help me figure it out better.

OLga [1]

The general point-slope equation for a str. line is y-k = m(x-h),

where m is the slope and (h,k) is a point on the line.

Given that the line passes thru (-4,6) and (1,2), we find the slope as follows:
6-2
m = ----------- = -4/5
-4-1

Subst. -4/5 for m, 6 for k and -4 for h in y-k = m(x-h):

y-6 = (-4/5)(x+4)

Compare this result to the equations given.

6 0

3 years ago

The solution to the equation4(x + 2) =3(5-x) is:​

The solution to the equation4(x + 2) =3(5-x) is: