A boat traveled on a river 10 km upstream and then comes back to its starting point. Given that the trip takes 2 hours and the river has a current of 4 km an hour, write a quadratic equation that gives the boat's speed for the trip.
Responses
A 2x2 − 20x − 32 =0
B 2x2 − 8x − 32 =0
C 2x2 − 8x − 16 =0
D 2x2 − 16x − 32 =0

Answer:

Step-by-step explanation:

From the picture attached,

In ΔABC and ΔGFE,

AC ≅ EG  [Given]

BC ≅ EF [Given]

AB ≅ FG [Given]

By the SSS property of congruence, ΔABC ≅ ΔGFE

The two triangles are related by SSS property of congruence, so the triangles are congruent.

Answer:

Step-by-step explanation:

I can't see the screenshot

so like yeah

Round to the nearest tenth for the right triangle, wouldn't it be 20 or am I wrong?

Answer:

It's B

Step-by-step explanation:

Answer:H

Step-by-step explanation:

Answer:

The answer is 1,005.3

Step-by-step explanation:

;]

Answer:

2.504 feet

Step-by-step explanation:

Find the length by dividing 10.016 by 4

10.016/4

= 2.504

So, each cut board will be 2.504 feet

We have

[tex] \begin{cases} \sf No. \: of \: pieces = \frak{4} \\ \sf Total \: Length = \frak{10.016 \: ft} \end{cases} [/tex]

So,

Length of 1 board = 10.016/4

Length of 1 board = 2.504 ft

So,

The length of 1 board is 2.504 ft.

Answer:

simply add

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x - 14) = 51

expand

5x - 14 = 51

group liked terms

5x = 51 +14

5x = 65

divide through by 5

5x÷5 = 65÷5

x= 13

Answer:

270 cm3

Step-by-step explanation:

The volume of the given rectangular prism is 270 cm³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have

Length = 9 cm

Width = 2 cm

Height = 15 cm

Using the formula for volume of the rectangular prism

= length x width x height

= 9 x 2 x 15

= 270 cm³

Thus, the volume of the given rectangular prism is 270 cm³.

Learn more about Volume here:

https://brainly.com/question/15117197

#SPJ7

Answer:

16

Step-by-step explanation:

2x8

Answer:

Step-by-step explanation:

We can use the regression line to model the linear relationship between x and y ... x and y because the correlation coefficient is not significantly different from zero. ... If r is significant and the scatter plot shows a linear trend, the line can be used to ... If r < negative critical value or r > positive critical value, then r is significant.

Answer:

[tex]16\sqrt{17}[/tex]

Step-by-step explanation:

The perimeter is two times width plus two times length:

[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]

There is no way to simplify further.

Answer:

if you go to Khan Academy they put their lessons into video and thoroughly explain everything!

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

Answer: the answer is 4/7 your welcome

Answer:

Graphical method

Answer:

12

Step-by-step explanation:

just divide 96 by 8

Answer:

y=12

Step-by-step explanation:

.......ur welcome.........

96÷8=12

bcs they're 8 y we divide 96 by the no. of y to get y

Answer:

8. 90°

9. 18°

10. 18°

11. 105

Around 433.63 would be the correct answer

Answer:

Sorry. It is 4.

Step-by-step explanation:

Again, where is my cookie?

Answer:

go from inside out.

h(x)=x/3

[tex](\sqrt{2})^{3}[/tex]=> h(6) = 6/3 = 2

g(x) = [tex]\sqrt{x}[/tex]

=> g(h(6)) = g(2) = [tex]\sqrt{2}[/tex]

f(x) = [tex]x^{3}[/tex]

=> f(g(h(6))) = f([tex]\sqrt{2}[/tex] ) = [tex](\sqrt{2} )^{3}[/tex]

the correct option is (1,0)

Answer:

2:1

Step-by-step explanation:

I hope it's helped.......

Answer:

Original ratio:

Boys        Girls

14:42       28:42

Lowest terms:

Boys          Girls

1:3             2:3

Answer:

-8x-8

Step-by-step explanation:

Since 16x and -24x have like variables, we can subtract to get -8x.  Then, we can add the constants to get -8.

Step-by-step explanation:

16x-12-24x+4

=16x-24x-12+4

=8x-8

Answer:

285

Step-by-step explanation:

1175 divided by 412 = 2.85194174757

that would be around 2.85

Answer:

Step-by-step explanation:

Let the relation between the total number of candies (y) and number of bags (x) is,

y = mx + b

Here, b = Extra pieces of candies sitting outside the box.

m = Candies per box

From the question,

x = 4,(Number of bags are 4)

y = 4m + 4

If total number of candies are 36,

36 = 4m + 4

4m = 32

m = 8

Each bag will contain 8 candies.

Therefore, equation representing the relation is,

y = 8x + 4

Now complete the table by substituting the values of x,

    x                 y

    1                 12                    

    2                20

    3                28

    4                36

    5                44

    6                52

    7                60

    8                68

    9                76

   10                84

Answer:

the area is 32 square inches

Step-by-step explanation:

you multiply both sides that have 9 because they are equal and then you add the 14 on

Answer:

63 Inches

Step-by-step explanation:

The formula for finding the area of a triangle is:

(b*h)/2

First, let's plug in the values.

(14*9)/2

Simplify...

126/2

Divide the two which gives us:

63

Therefore, the answer is:

63 Inches.

Hope this helps!

Answer:

1/64

Step-by-step explanation:

Given the expression

3+4√4y = 4

4√4y = 4-3

4√4y = 1

√4y = 1/4

Square both sides

(√4y)²= (1/4)²

4y = 1/16

y = 1/16 * 1/4

y = 1/64

Hence the value of y is 1/64

Answer:

2.

30-7x4 = 2

3.

80

Step-by-step explanation:

2.

First, do 7x4, which equals 28. Then subtract that from 30, and you get 2.

3.

Do the parentheses first, 21-6=15. Then 15 divided by 0.2 = 75. 75+5=80.

Sorry I couldn't help on any of the other ones, I don't have much time.