Z varies jointly as x and y. If z=3 when x=3 and y=15, find z when x=6 and y=9

Answer:

a= 4

b= -1

c= 10

Step-by-step explanation:

First we start by multiplying both sides of 1/2c = 5 by 2.

c = 10

Add b to both sides of the last equation to make it a=b+5

knowing these two things, we can plug them into the first equation like this:

2(b+5) + b + 10 = 17

then you solve for b:

distribute the 2

2b + 10 + b + 10 = 17

combine like terms

3b + 20 = 17

subtract 20 from each side

3b = -3

divide by 3

b = -1

then you can plug that into the last equation again so a - (-1) =5

Subtracting a negative is the same as adding so its a + 1 = 5 or a = 4

Answer:

7.28011

Step-by-step explanation:

a² + b² = c²

7² = 49

2² = 4

49 + 4 = 53

√53 = 7.28011

Answer:

Step-by-step explanation:

2^2+b^2=7^2

4+b^2=49

b^2=45

b= 6.708

Answer:

50

Step-by-step explanation:

18.5% of 282 is 52.17

Answer:

solution.

Step-by-step explanation:

data given

1, total file in size is 282mb

2,the size downloaded is 18.5

asked to find how many megabytes have been downloaded

=18.5÷100×282

=52.17

there fore the downloaded megabytes is 52.17mb

Answer:

hola yo me llamo jimena

Step-by-step explanation:

ok yo pues no de que hablas me podrías

Answer:

120

Step-by-step explanation:

Answer:

The average rate of change is -75

Step-by-step explanation:

The Average Rate of Change (ARC)

It's a measure of how much the function changed per unit, over a given interval.

Given a function F(x) and an interval between x=a and x=b, the average rate of change is:

[tex]\displaystyle A=\frac{F(b)-F(a)}{b-a}[/tex]

The function is:

[tex]F(x)=-x^3+24x^2-179x+495[/tex]

and it's required to find the ARC between x=2 and x=5.

Calculate F(2) and F(5):

[tex]F(2)=-2^3+24*2^2-179*2+495=225[/tex]

[tex]F(5)=-5^3+24*5^2-179*5+495=75[/tex]

The ARC is:

[tex]\displaystyle A=\frac{75-225}{5-3}=\frac{-150}{2}=-75[/tex]

The average rate of change is -75

Answer:

B

Step-by-step explanation: The answer is B because the dilation is showing that the triangle is getting bigger therefore the answer is going to be 1 or more

Answer:

1190

Step-by-step explanation:

We have the ratio: 8:340 which means that 340 copies are printed in 8 minutes

We want to find out how many color copies are printed in 1 minute so we divide by 8

so our new ratio is now 1:42.5

We now multiply this ratio by 28 to find out how many are printed in 28 minutes

28:1190

our answer is 1190 copies

Answer:

4

Step-by-step explanation:

Given the triangle AEC - trianhle BED the 4th equation, ED/EC = AC/BD is true.

Answer:

1. (-4 , 3) : substitute way .

2. (10 , -1) : elimination way.

3. (26/7 , -26/7 ) : elimination way.

4. ( 1 , 1) : elimination way.

Step-by-step explanation:

Answer:

how we go answer it

Step-by-step explanation:

Answer:

[tex]16\ \text{miles}[/tex]

Step-by-step explanation:

In a parallelogram the diagnols bisect each other. So,

[tex]DE=EB\\\Rightarrow y+2=3y-4\\\Rightarrow 4+2=3y-y\\\Rightarrow 6=2y\\\Rightarrow y=\dfrac{6}{2}\\\Rightarrow y=3[/tex]

[tex]DE=y+2\\\Rightarrow DE=3+2\\\Rightarrow DE=5[/tex]

[tex]BD=2DE\\\Rightarrow BD=2\times 5\\\Rightarrow BD=10[/tex]

[tex]EC=2y-3\\\Rightarrow EC=2\times 3-3\\\Rightarrow EC=3[/tex]

[tex]AC=2EC\\\Rightarrow AC=2\times 3\\\Rightarrow AC=6[/tex]

The sum of the diagonals is [tex]BD+AC=10+6=16\ \text{miles}[/tex]

The sum of the lengths of the two trails is [tex]16\ \text{miles}[/tex].

Answer:

16  Miles

Step-by-step explanation:

Just took the quiz and got it right

Answer:

y=1+1/3x

Step-by-step explanation:

Answer:

The area would be 80

Step-by-step explanation:

Firstly we need the scale factor

At 2 to 5, the scale factor is 5/2 = 1 to 2.5

Mathematically, we have the area of a triangle as:

1/2 * b * h

So, if the other side is x ;

we have that :

1/2 * x * 2 = 8

2x = 16

x = 8

The bigger other side will be;

2.5 * 8 = 20

So the area of the second will be;

1/2 * 20 * 8 = 80

Answer:

d. 50%

Step-by-step explanation:

Answer:

6.06 km

Step-by-step explanation:

The information given in the question can be represented by the three sides if a right angled triangle.

Let the direct line from the airplane to the start of the runway be represented by x. So that applying the appropriate trigonometric function, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]8^{o}[/tex]  = [tex]\frac{6}{x}[/tex]

0.9903 = [tex]\frac{6}{x}[/tex]

⇒ x = [tex]\frac{6}{0.9903}[/tex]

      = 6.0588

x = 6.06 km

The direct line from the airplane to the stat of the runway is 6.06 km.

Answer:

c² = 34

Explanation:

Pythagorean Theorem: a² + b² = c²

3² + 5² = c²

3² = 9

5² = 25

9 + 25 = 34

34 = c²

- PNW

______________________________

 - When finding c, it doesn't matter what you put for a or b. So if you want to make a = 5, and b = 3, it wouldn't make any difference.

______________________________

Answer:

D. x>-3

Step-by-step explanation:

Since the dot on -3 is not shaded in we know it is not ≤ or ≥ so option A and C are eliminated.

Remember if the arrow is pointing to the left (<-----) Then it is Less-than which is <.

If the arrow is pointing to the right (----->) Then it is Greater-than which is >.

Since the arrow is pointing right the answer will be x>-3 which is D

Answer:

x = 256

Step-by-step explanation:

Remark

Interesting question. Thanks for posting.

The small triangle has the height as the missing side.

Part One: Givens

a = 144

b = height = ?

c = 240

a^2 + b^2 = c^2

144^2 + b^2 = 240^2

20736 + b^2 = 57600                   Subtract 20736 from both sides

b^2 = 57600 - 20736

b^2 = 36864

√b^2 = √36864

b = 192

Solve for x

The relationship between the height (b) and 144 and x is

b^2 = 144 * x

36864 = 144x          Divide by 144

x = 256

Answer:

its y*x+z

Step-by-step explanation:

4*4

Answer:

-2x + 2y = -8

Step-by-step explanation:

2y=2x-8

y=x-4

0=x-4

x=4

Hopefully this helps :) Let me know if you need me to explain it better.

Answer:

-2 x + 2 y = -8

Step-by-step explanation:

radikool

Answer:

A,   x(x-4)

Step-by-step explanation:

None of them will give you the vertex you want but the x intercepts are only correct for A

Answer:

Its The Bottom Right one I think D

Step-by-step explanation:

Answer:

0.083

163.20

Step-by-step explanation:

====================================================

Work Shown:

[tex]\log_8(3) = a\\\\\log_8(5) = b\\\\\log_8(45) = \log_8(3*3*5)\\\\\log_8(45) = \log_8(3)+\log_8(3)+\log_8(5)\\\\\log_8(45) = a+a+b\\\\\log_8(45) = 2a+b\\\\[/tex]

The log rule used was log(x*y) = log(x)+log(y).

Answer:

Show an attachment so we can see what you mean.

Step-by-step explanation:

Answer:

$75

Step-by-step explanation:

Cost = $500

Sam has to pay a 15% tax

To compute his tax, we use the step outlined bellow

tax= 15/100*500

tax= 0.15*500

tax=$75

Hence his tax is $75

Answer: x = 11.5

Step-by-step explanation: Since the line bisects angle BAC, this means angles BAD and DAC equal each other.

To find what angle DAC equals, you divide 75 by 2, which equals 37.5

Then you set 37.5 equal to (3x+3) and solve for x.

37.5 = 3x+3

34.5 = 3x

11.5 = x