Figure ABCD is a square. Find the
value of x.
5x 2
D
x + 10
x = [?]

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]

Now, simplify the above expression.

[tex]15(x-2)-6(x)=x(x-2)[/tex]

[tex]15x-30-6x=x^2-2x[/tex]

[tex]x^2-11x+30=0[/tex]

Factorize the above equation.

[tex]x^2-6x-5x+30=0[/tex]

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

For more information, refer to the link given below:

https://brainly.com/question/25277954

Answer:

12 i think

Step-by-step explanation:

Answer:

35*36=1260

Step-by-step explanation:

Answer:

35, 36

Step-by-step explanation:

Let the two consecutive positive integers be x and (x + 1)

According to the given information:

[tex]x(x + 1) = 1260 \\ \\ {x}^{2} + x - 1260 = 0 \\ \\ {x}^{2} + 36x - 35x - 1260 = 0 \\ \\ x(x + 36) - 35(x + 36) = 0 \\ \\ (x + 36)(x - 35) = 0 \\ \\ x + 36 = 0, \: \: x - 35 = 0 \\ \\ x = - 36, \: \: x = 35 \\ \\ \because \: x \in \: positive \: integer \\ \\ \therefore \: x \neq \: - 36 \\ \\ \therefore \: x = 35 \\ \\ x + 1 = 36[/tex]

Answer:

1+2=3 is answer

Step-by-step explanation:

so what help u need?

Answer:

B) [tex]10\sqrt{3}[/tex]

Step-by-step explanation:

So basically it's divided into 3 similar triangles and using ratios we can try to find x

long side/short side = long side/short side

(20)/(x) = (x)/(15)

[tex]x^{2}[/tex] = 300

x =  [tex]10\sqrt{3}[/tex]

I really hope I didn't make that too complicated-

Answer:

B

Step-by-step explanation:

Remark

I have to represent f(x) as plus +f(x)

I like to show this situation as +f(g(x)) which I think is much clearer.

+f(x) = 5x - 4    

Solution

+f(g(x)) = 5(g(x)) - 4  What has happened is that wherever you see an x on the right you put in g(x).

Now on the right, you put whatever g(x) is equal  to.

+f(g(x)) = 5(x^2 - 1)  - 4    

Remove the brackets.

+f(g(x)) = 5x^2 - 5 - 4

And make x = 0

+f(g(0)) = 5*0 - 5 - 4

+f(g(0)) = - 9

Answer:

Step-by-step explanation:

Pythagorean theorem,

Base² + altitude² = hypotenuse²

x² + 3² = 6²

x² + 9 = 36

      x² = 36 - 9

     x² = 27

x = √27

Answer:

D) x=sq rt 27

Step-by-step explanation:

using the Pythagorean theorem

6^2=3^2+x^2

36=9+x^2

27=x^2

x=sq rt 27

Answer:

V = 205 in^3 to the nearest whole number

Step-by-step explanation:

V = 4/3 π r^3

Plugging in the given information:

V = 4/3 * 3.14 * 7^2

V = 205.147.

Answer:

c= 25, solutions: x = 3, x= -13

Step-by-step explanation:

(10/2) ^2 = 25

(x+5)^2 = 64

1.) Divide the composite figure into a square on the left, a rectangle in the middle, and a square on the right by drawing two vertical lines through the figure. Then calculate the individual areas of the shapes and add them all together.

2.) Divide the composite figure into a square on the top and a rectangle on the bottom by drawing a horizontal line through the figure. Then calculate the individual areas of the shapes and add them all together.

Hope this helps, and have a wonderful day!

Answer:

8/5

Step-by-step explanation:

this is a slope formula which formats y=mx+b

m being the slope

and b being the y-intercept

so no need to look far, and no need to solve anything but 8/5 would be your y-intercept

:)) have a great day!

Answer:

the simplified expression is: 6y-7x

Step-by-step explanation:

-y+7y= 6y

           -7x

           = 6y-7x

Answer:

x = 4

Step-by-step explanation:

ΔABC ≈ ΔDBE

set up a proportion of corresponding sides:

BD / BE = BA / BC

BA = 10 - x + x = 10

10-x / 3 = 10 / 5

cross-multiply:

5(10 - x) = 3(10)

50 - 5x = 30

-5x = -20

x = 4

Answer:

I believe the answer is B

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = [tex]\sqrt{495}[/tex]

a = [tex]\sqrt{9}[/tex] · [tex]\sqrt{55}[/tex]  =  3[tex]\sqrt{55}[/tex], which is approx 22.25

Answer:

about 22.25 feet

Step-by-step explanation:

You can think of it like a triangle, which you can see at the bottom

Then, use the pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex].

you have a = 9 and c = 24, so

[tex]9^2 + b^2 = 24^2\\81 + b^2 = 576\\b^2 = 495\\b = \sqrt{495} = 3\sqrt{55} = about 22.25[/tex]

Answer:

2622.80

Step-by-step explanation:

I just took the test and made a 100%

Answer:

Step-by-step explanation:

330

Answer:-12

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4^3 means to multiply 4 by itself three times, 4×4×4=64

Answer:

C

Step-by-step explanation:

parallel lines never cross

Answer:

x=3

Step-by-step explanation:

The problem can be re-written as :

[tex] \sqrt{3^{x} } \div \sqrt{3} = 3[/tex]

This is because x to the power of 1/2 is the same as the square of x.

multiply both sides by sqrt3

[tex] \sqrt{3^{x} } = 3 \sqrt{3} [/tex]

square both sides

[tex]3 ^{x} = (3)^{2} ( \sqrt{3} )^{2} [/tex]

simplify

[tex]3 ^{x} = 9 \times 3[/tex]

3 to the power of x is equal to 27

3 cubed (to the power of 3) is 27

so x is equal to 3.

hope i helped, and good luck :)

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Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.

Answer:

43ft

Step-by-step explanation:

side a = x ft

side b = 10 ft

side c = 18 ft

x = 14.967

rounds to = 15

10 + 18 + 15 = 43

43 ft of fence needed

9514 1404 393

Answer:

  ? = 7/30 = 0.233...(repeating)

Step-by-step explanation:

Write the ratios as fractions, then multiply by the denominator under the unknown.

  [tex]\dfrac{\text{?}}{0.2}=\dfrac{7}{6}\\\\\text{?}=0.2\times\dfrac{7}{6}=\dfrac{2}{10}\times\dfrac{7}{6}\\\\ \boxed{\text{?}=\dfrac{7}{30}=0.2\overline{3}}[/tex]

Answer:

38

Step-by-step explanation:

Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4