Find the value of h and k.

Answer:

A. [tex]5.21*10^{8}[/tex]

Step-by-step explanation:

Multiplying by [tex]10^{n}[/tex] moves the decimal point n places to the right.

Doing so 8 times for 5.21 gives 521,000,000.

Answer:

lines are perpendicular

Step-by-step explanation:

• Parallel lines have equal slopes

• The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form and extract the slope

3x - 2y = - 6 ( subtract 3x from both sides )

- 2y = - 3x - 6 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

----------------------------------

4x + 6y = 2 ( subtract 4x from both sides )

6y = - 4x + 2 ( divide through by 6 )

y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

--------------------------------------

[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel

[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1

Thus the lines are perpendicular to each other

Answer:

length of the opposite leg divided by the hypotenuse

Step-by-step explanation:

After the 10% reduction in the price of the  toy car, the car costs 450.

In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.

10% x 500

0.1 x 500 = 50.

The second step is to subtract the value of the 10% price reduction from the original cost of the  toy car.

500 - 50 = 450

To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849?referrer=searchResults

Answer:

Step-by-step explanation:

(1 - i) / (sqrt(3 + 4i)

= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]

=> multiply and divide by conjugate of denominator

= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]

= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]

Answer:

3•2•7=42•2=84

12•10•7=840

84+840=924in^3

Step-by-step explanation:

Answer:

Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.

Step-by-step explanation:

The amount of rain that fell in Dubaku's hometown is: 8 centimeters.

Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 centimeters.

Answer:

l will print A2 inches cause each side of the scale of the map is 1inch

Answer:

y=10x-4

Step-by-step explanation:

Answer:

y=10x-4

Step-by-step explanation:

Step-by-step explanation:

that simply means that D is the middle point of AC.

and that means that both sides of D are equal long :

x + 8 = 2x - 17

25 = x

therefore

AB = x - 7 = 25 - 7 = 18

Answer:

∠DOB=108°

Step-by-step explanation:

∠AOD=∠COB=y

∠AOC=3.5y-y-y

          =1.5y

3.5y+1.5y=360° (angles at a pt)

          5y=360°

             y=360°÷5

               =72°

         1.5y=72°×1.5

               =108°

Hence, ∠DOB=108°.

Answer:

108

Step-by-step explanation:

Call the angle facing east x. The angle facing west is also x. The angle facing north, (thus the angle facing south) is given and is y. You can tell that if you take y twice and x once you get 3.5y, and it's easy to spot that x+y=180. Rest is simple math as in the image added - sorry for the handwriting. With simple algebra (you substitute back and forth) you should get x = 108 degrees.

Answer:

37 km/minute

Step-by-step explanation:

Using speed formula: [tex]Speed = \frac{Distance}{Time}[/tex]

=> 185/5

=> 37 km/minute

Hoped this helped.

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

Answer:

Answer:

3185

(I'm not sure if it's correct, if it's wrong I apologize in advance.)

-3/(-2/5) = -3 * (5/-2)=15/2=7.5

Answer:

im new but im pretty sure its 7.5

Step-by-step explanation:

To solve this expression, we can use PEMDAS or order of operations. Parenthesis. Exponents.

Answer:

41 degrees

Step-by-step explanation:

the two squares that make up the rhombus are both equilateral so we know that the measure of angle WUX is 56 degrees. subtract 15 from 56 and you get 41 degrees.

Answer:

ion

Step-by-step explanation:srry

Answer:

see below

Step-by-step explanation:

2.x<1, y=all real numbers

3. -1<=x<=3 -3<=y<=2

4. x= all real numbers, y>-2

5. 7<=x<5, 3<=y<1

6.x>-4, y>-1

Answer:

333

666

Step-by-step explanation:

333 / 9 = 37

666 / 9 = 74

yeah-ya...... right?

Answer:

333

Step-by-step explanation:

we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

Answer:

z = 3

Step-by-step explanation:

I hope this helps!

Hey there!

4x + 1/2 + 2x - 3

COMBINE the LIKE TERMS

= (4x + 2x) + (1/2 - 3)

TRYING to SIMPLIFY THEM

4x + 2x

= 6x

1/2 - 3

= -5/2

ANSWER

6x + (-5/2)

Therefore, your answer should be: 6x + -5/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

If two lines are parallel, then there is no intersection and therefore no solutions.

Correct choice is D

Answer:

D. The system of equations does not have one solution because the lines will never intersect.

edg2021Unit Test

Step-by-step explanation:

Answer:

8.6792 × 10 4 (I don't know how to make the four smaller but its 10 to the power of 4).

Step-by-step explanation:

8.6792 × 10 4. is the scientific notation

Answer:

1. 50% of a number

0.5

2. 10% of a number

0.1

3. 75% of a number

0.75

Step-by-step explanation:

this is because a percentage is the same as a decimal or a fraction

so 50% is 0.5 or 50/100

taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100

same with 10% and 75%

Answer:

3/15 or 0.2

Step-by-step explanation:

You would need to subtract as it is asking for amount MORE won.

2/3 - 7/15

Make the denominator the same in order to subtract.

= 10/15 - 7/15

Subtract.

= 3/15

Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

Answer:

The answer is a

Step-by-step explanation:

Like and give 5 star rating

Answer:

8/3 miles over 8miles

8 mi/3 hrs = 8/3 mi/hr = 2.66666.