All categories

2 years ago

Algebra Please help Simplify (2√5+3√7)^2

Mathematics

2 answers:

GREYUIT [131]2 years ago

4 0

4√5+9<span>√7

Hope this helps!</span>

Effectus [21]2 years ago

3 0

The correct answer is 83 + 12 sqrt(35) !! :D

You might be interested in

1 1/3 divided by 2 5/6

victus00 [196]

The answer is 8/17 because you have to change the fractions to improper fractions then change the division sign to a multiplication sign. Then change the second fraction by flipping the two numbers then multiply and reduce.

3 0

2 years ago

Read 2 more answers

Help me plssssssssssss

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

look at the x and y axis

6 0

3 years ago

Read 2 more answers

What are the solutions of |3x + 2| >9?

frosja888 [35]

Answer

-11/3>x>7/3

Step-by-step explanation:

|3*7/3+2|=9

|7+2|=9

|9|=9

9=9

therefore, x must be > 7/3

|3*-11/3+2|=9

|-11+2|=9

|-9|=9

9=9

therefore, x must be < -11/3

8 0

3 years ago

What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?

Brums [2.3K]

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

$Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

$AB = \sqrt{(11-4)^{2}+(3-3)^{2}}$

$AB = \sqrt{(7)^{2}+(0)^{2}}$

$AB = \sqrt{49}$

$\sqrt{49} =7$

AB = 7 units

As take B(11, 3) to C (11, 9).

$BC = \sqrt{(11-11)^{2}+(9-3)^{2}}$

$BC = \sqrt{(0)^{2}+(6)^{2}}$

$BC = \sqrt{36}$

$\sqrt{36} =6$

BC = 6 units

As take C (11, 9) toD (4, 9).

$CD = \sqrt{(4-11)^{2}+(9- 9)^{2}}$

$CD = \sqrt{(7)^{2}+(0)^{2}}$

$CD = \sqrt{49}$

$\sqrt{49} =7$

CD = 7 units

As take D (4, 9) to A (4, 3)

$DA = \sqrt{(4-4)^{2}+(3-9)^{2}}$

$DA = \sqrt{(0)^{2}+(-6)^{2}}$

$DA = \sqrt{36}$

$\sqrt{36} =6$

DA = 6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value in the above

Area of rectangle = 7 × 6

= 42 units ²

Therefore the area of a rectangle is 42 units ².

6 0

2 years ago

Read 2 more answers

skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

$\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}$

Let

z ---> the scale factor

$z=\frac{XY}{PQ}$

substitute the given values

$z=\frac{30}{5}=6$

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

$z=\frac{p_1}{p_2}$

The perimeter of triangle PQR is

$p_2=5+10+6=21\ cm$

we have

$z=6\\p_2=21\ cm$

substitute

$6=\frac{p_1}{21}$

$p_1=6(21)=126\ cm$

therefore

The perimeter of triangle XYZ is 126 cm

5 0

3 years ago