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Flauer [41]
4 years ago
5

What’s the right answer?

Mathematics
2 answers:
GaryK [48]4 years ago
6 0
The answers are Option B and C
Eduardwww [97]4 years ago
6 0

Answer:

5(x + y).

(x - y)(x + y).

Step-by-step explanation:

5(x + y) is the product of 5 and x+y

and

(x - y)(x + y) is the product of (x-y) and (x+y).

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Isaac's rectangle measures 4 1/2 units by 2 1/4. What is it's area? <br><br> PLEASE HELP ME!!!
babunello [35]
<h3>Answer:</h3>

\sf\:Area  \: of  \: rectangle = l × b

\sf\:4 \frac{1}{2}  \times 2\frac{1}{4}

\sf\frac{9}{2}  \times  \frac{9}{4}

\large\boxed{\sf\frac{81}{8}sq.\:units.}

6 0
3 years ago
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. F
Otrada [13]

Answer:

Surface area: 500

Volume: 5500

Step-by-step explanation:

Scale factor: 2:5

This means that the dimensions of the larger figure are 5/2 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/2) by the original surface area(80). So

S = (\frac{5}{2})^2 \times 80 = \frac{25}{4} \times 80 = 25 \times 20 = 500

Volume:

The volume is found multiplying the cube of the change(5/2) by the original volume(352). So

S = (\frac{5}{2})^3 \times 352= \frac{125}{8} \times 352 = 125 \times 44 = 5500

8 0
3 years ago
Mr. Richard owns an orchard that has a rectagular fence . The orchard is 36 yards long and 18 yards wide . if he walks across th
Sergio [31]

Answer:

40.2 Yards

Step-by-step explanation:

To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:

c²= a² + b²

a = 36 Yards

b = 18 Yards

Now let's plug in our values to the formula.

c² = a² + b²

c² = 36² + 18²

c² = 1296 + 324

c² = 1620

Now to find the value of c we need to get the square root of both sides.

\sqrt{c^{2}}=\sqrt{1620}

c = 40.2

So the diagonal length of Mr. Richard's orchard is 40.2 Yards.

7 0
4 years ago
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 3x - 5 and g(x) = x+5/3 to determine if
Ostrovityanka [42]

Answer:

for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.  

so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.  

to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:  

y = 3x - 5  

solve for x:  

y + 5 = 3x  

x = (y + 5) / 3  

swap x and y:  

y = (x + 5) / 3  

this is the same as g(x) which, therefore the functions are inverse of each other.

6 0
3 years ago
Read 2 more answers
What are the roots of 3x2 + 10 = 4x?
sveticcg [70]

Answer:

Option C is correct.

roots of the given equation , x =\frac{2\pm i\sqrt{26}}{3}

Step-by-step explanation:

Given the equation: 3x^2+10 = 4x

We can write this equation as:

3x^2-4x + 10 =0

A quadratic equation is in the form of ax^2+bx+c =0      ......[1] where a,b ,c are the coefficient and x is the variable,

the solution of the equation is given by;

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

On comparing given equation with equation [1] we get;

a = 3 , b = -4 and c =10

So, the solution of the given equation is given by;

x = \frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}

or

x =  \frac{4\pm\sqrt{(16-120}}{6} = \frac{4\pm\sqrt{(-104)}}{6} = \frac{4\pm\sqrt{(-4 \times 26)}}{6}

or

x =\frac{4\pm2 \sqrt{(-26)}}{6} = \frac{4\pm2 i\sqrt{26}}{6}    [∴\sqrt{-1} = i

Simplify:

x =\frac{2\pm i\sqrt{26}}{3}

therefore, the roots of the given equation are; x =\frac{2\pm i\sqrt{26}}{3}

5 0
3 years ago
Read 2 more answers
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