2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse?
round to the nearest whole number

Answer:

Step-by-step explanation:

According the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.

It means the function is linear in option 1 and exponential in option 2.

Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:

As we see the option 2 is better choice and the difference is:

Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)

Answer: See below

Step-by-step explanation:

Isolate x for x-2y+2z=9

3x=9+2y

[tex]x=\frac{9+2y}{3}[/tex]....(1)

Substitute (1) into the 2nd equation

[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]

[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]

7y=-3

y=-3/7

Substitute y=-3/7

[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]

[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]

Isolate z by substituting it

[tex]3z+\frac{53}{7}=16[/tex]

[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]

[tex]z=\frac{59}{21}[/tex]

For x =9+2y/3 substitute z=59/21 and y=-3/7

[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]

[tex]x=\frac{19}{7}[/tex]

[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]

Answer:

(1, - 1, 3 )

Step-by-step explanation:

x - 2y + 2z = 9 → (1)

- x + 3y = - 4 → (2)

2x - 5y + 3z = 16 → (3)

Add (1) and (2) term by term to eliminate x

y + 2z = 5 → (4)

Multiply (2) by 2

- 2x + 6y = - 8 → (5)

Add (3) and (5) term by term to eliminate x

y + 3z = 8 → (6)

Subtract (6) from (4) term by term to eliminate y

- z = - 3 ( multiply both sides by - 1 )

z = 3

Substitute z = 3 into (4)

y + 2(3) = 5

y + 6 = 5 ( subtract 6 from both sides )

y = - 1

Substitute y = - 1, z = 3 into (1) and solve for x

x - 2(- 1) + 2(3) = 9

x + 2 + 6 = 9

x + 8 = 9 ( subtract 8 from both sides )

x = 1

solution is (1, - 1, 3 )

Answer:

Breeders cross animals of the same species with desirable traits to create desirable offspring.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

From the given table, we have

1) The coordinate points are (10, 7) and (1, 2)

Here, slope [tex]=\frac{(2-7)}{(1-10)}[/tex]

[tex]=\frac{5}{9}[/tex]

2) The coordinate points are (9, 9) and (1, 16)

Here, slope [tex]=\frac{(16-9)}{(1-9)}[/tex]

[tex]=-\frac{7}{8}[/tex]

3) The coordinate points are (9, 3) and (2, 1)

Here, slope [tex]=\frac{(1-3)}{(2-9)}[/tex]

[tex]=\frac{2}{7}[/tex]

4) The coordinate points are (8, 8) and (1, 2)

Here, slope [tex]=\frac{(2-8)}{(1-8)}[/tex]

[tex]=\frac{6}{7}[/tex]

Therefore,

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ3

Answer:

1. Whole number

Step-by-step explanation:

It's a negative number, but it is not a decimal, therefore it is a whole number.

Answer:

75

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

Answer:

394 km

Step-by-step explanation:

197 is 197/60 times as much as 60

so the distance is also that much more: 120 km * 197/60 = 394

Answer:

50%

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve this using unitary method ~

Therefore , the ostrich will run 105 meters in 5 seconds.

The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.

Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:

= 100 + tip

= 100 + (100 x 15%)

= $115

In percentage this is:

= 115/100 x 100%

= 115%

In conclusion, Jeremy would pay 115% of the tip.

Find out more at https://brainly.com/question/22444616.

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

Learn more about mathematics on:

https://brainly.com/question/12798024

Answer:

Christmas How many pouds this proportion to solve

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23

x = 14/23

Answer:

I=2t

Step-by-step explanation:

ivan has 2 times t

Answer:

Check the picture below

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.

Answer: [tex]\frac{3}{4}[/tex]

Have attached the picture for explanation...

The product of the fraction in the simplest form is 3/4

A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

2/3 x 9/8 = 18/24 = 3/4

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer:

0.007

Step-by-step explanation:

0's before other numbers are non-significant. Then you just round your number.

Hope that helps

Step-by-step explanation:

please mark me as brainlest

Answer:

y^6 z^12

Step-by-step explanation:

When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.

Hope this helps :)

Answer:

it is reduction so the answer is B.

Step-by-step explanation:

Answer: The answer is 10 feet of cable.