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3 years ago

A square picture with a side length of 4 inches needs

Mathematics

1 answer:

Vilka [71]3 years ago

5 0

Answer:

x²+8x-65=0

Step-by-step explanation:

The equation to be used is

A=side²

The increased side = X

(4+x)² =81

x² +4x+4x=16=81

x²+8x+16-81=0

x²+8x-65=0

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X²+Y²=250 and XY=117<br> What are the values of X and Y?

yan [13]

Answer:

Step-by-step explanation:

$x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}$

$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$

6 0

3 years ago

Please help!! Rewrite the formula to determine the amount of money they will make.

leva [86]

We have this equation to start with: m/n = 5.5. To achieve the desired equation, you need to multiply the entire equation by n, giving you this equation: m = 5.5n. Hope this helps!

3 0

3 years ago

Which expression is equivalent to<br> (q^6)^2<br> q3<br> q8<br> q12<br> q36

Zepler [3.9K]

I think it’s q12 or C hope this helped

8 0

2 years ago

A patio is in the shape of a square, with a lengh of 35 feet. You wish to draw a black line down one diagonal.

SashulF [63]

Answer:

a) 35√2

b) between 25 and 36 (5² and 6²)

c) 49.5 ft

7 0

3 years ago

Given a conditional statement p → q, which statement is logically equivalent?

svlad2 [7]

Hello,
p=>q is equivalent to ~q → ~p

p-------q-------p=>q--~q ----- ~p----~q → ~p
0-------0-------1-------1 ------- 1------- 1
0-------1-------1-------0------- 1------- 1
1-------0-------0-------1------- 0-------0
1-------1-------1-------0------- 0-------1

Column 3= column 6 ==>equivalent

Answer B

3 0

3 years ago

Read 2 more answers