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2 years ago

A quadratic equation that can be written as the difference of squares has...

Mathematics

2 answers:

quester [9]2 years ago

6 0

Answer: C two solutions

Step-by-step explanation:

The Difference of Two Squares theorem says that any time an equation may be written as a difference between squares A² - B² = 0 it may be rewritten as two products, the sum and difference of the square roots (A + B) (A - B)

Hope this helped :)

andriy [413]2 years ago

3 0

is letter C , Tow solutions or more solutions .

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The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that

lyudmila [28]

Answer:

The radius of the circle is $r=1.68\ units$

The length of the square is $x=3.36\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to $C=2\pi r$

The perimeter of the square is equal to $P=4x$

$24=2\pi r+4x$

Simplify

$12=\pi r+2x$

$x=(12-\pi r)/2$ -----> equation A

The area of a circle is equal to $A=\pi r^{2}$

The area of a square is $A=x^{2}$

The total area is equal to

$At=\pi r^{2}+x^{2}$ -----> equation B

substitute equation A in equation B

$At=\pi r^{2}+[(12-\pi r)/2]^{2}$

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

$r=1.68\ units$

Find the value of x

$x=(12-\pi r)/2$

assume

$\pi =3.14$

$x=(12-(3.14)*(1.68))/2$

$x=3.36\ units$

8 0

3 years ago

What is 38496 rounded to the nearest thousand

maksim [4K]

He is wrong, it is 38000
38496, the 8 is the thousand spot
round the number after it up or down
4 rounds down and 9&6 go down with it
38,000

8 0

3 years ago

What is the slope intercept form of 12x-5y=-44

Lilit [14]

Answer:

y = $\frac{12}{5}$ x + $\frac{44}{5}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 12x - 5y = - 44 into this form

subtract 12x from both sides

- 5y = - 12x - 44 ( divide all terms by - 5 )

y = $\frac{12}{5}$ x + $\frac{44}{5}$ ← in slope- intercept form

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3 years ago

Help a girl out ?? i'm confused as to solve this

Rom4ik [11]

Answer:

(5 1/2 miles, $12.50)

Step-by-step explanation:

Looking at the graph, identify as best you can the coordinates of the point at which the two graphs cross. I read (5 1/2 miles, $12.50).

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3 years ago

Determine the value of X that makes the following equation true

valentinak56 [21]

What you want to do is cross multiply so you get 5(x+4)=7(3x+28) then you distrubute the 5 and then you distribute the 5 and the 7 to the number in the parentheses 5x+20=21x+196
subtract 5x on both sides to get 20=16x+196 then you subtract 196 on both sides to get -176=16x last what you want to do is divide 16 on both sides to get x=-11

5 0

3 years ago