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Which equation is equivalent to 3 - 4x = 12?
0 - 4x = -9
O - 4x = 15
0 4x = -9
4x = 9
Help

Answer:

r = p - q

Step-by-step explanation:

Write the two given vectors using i and j components.

i = unit vector in x direction

j = unit vector in y direction

p = -i - 3j

q = 3i - 4j

Now how can you combine these two vectors and get r when

r = -4i + j?

Adding p and q gives this:

p + q = -i - 3j + 3i - 4j = 2i - 7j

That is not r, so the addition of the vectors p and q does not work.

How about subtraction?

Start with -i from p and subtract 3i from q. You do get -4i which is the x-component of r.

Then start with -3j from p and subtract -4j from q. You get -3j - (-4j) = -3j + 4j = j which is the y-component of r.

That subtraction works.

p - q = -i - 3j - (3i - 4j) = -i - 3j - 3i + 4j = -4i + j which is exactly what r is.

Answer: r = p - q

Answer:

Step-by-step explanation:

Answer:

Triangles

Step-by-step explanation:

By using triangles you should be able to construct a hexagon.

Answer:

a)  See attached diagram.  The figures formed inside the hexagon are equilateral triangles.

b) Create 6 congruent equilateral triangles and place together to form a hexagon.

Answer:

Exponent rules

[tex]\textsf{product rule: }a^b \times a^c=a^{(b+c)}[/tex]

[tex]\textsf{quotient rule: }a^b \div a^c=a^{(b-c)}[/tex]

[tex]\textsf{power rule: }(a^b)^c=a^{(b \times c)}[/tex]

a) Use product rule:

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

[tex]\implies 3^{(2+x)}=3^7[/tex]

[tex]\implies 2+x=7[/tex]

[tex]\implies x = 5[/tex]

b) Use quotient rule:

[tex]7^8 \div 7^y=7^{(8-y)}[/tex]

[tex]\implies 7^{(8-y)}=7^6[/tex]

[tex]\implies 8-y=6[/tex]

[tex]\implies y=2[/tex]

c)  Use power rule:

[tex](q^4)^z=q^{(4z)}[/tex]

[tex]\implies q^{(4z)}=q^{12}[/tex]

[tex]\implies 4z=12[/tex]

[tex]\implies z=3[/tex]

Answer:

  A.  f(0) = 4

  B.  f(6) = 8

Step-by-step explanation:

When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.

x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.

  f(0) = 0 +4 = 4

__

x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.

  f(6) = 8

Answer:

24 is the answer

Step-by-step explanation:

To solve this problem, we first do two thirds of 180, and then we do one fifth of the solution you got for "two thirds of 180"

[tex]\mathrm{Two\:thirds\:of\:180 = (\frac{2}{3}) 180\:\:or\:\:\frac{2}{3}\times180}[/tex]

[tex]\mathrm{Turn\:\frac{2}{3}\:into\:a\:decimal,\:by\:dividing\:2\:by\:3}[/tex]

[tex]\mathrm{0.6666666666666667\times180}[/tex]

[tex]\mathrm{Multiply\:0.6666666666666667\:and\:180}[/tex]

[tex]\mathrm{120}[/tex]

Now we do one fifth of 120

[tex]\mathrm{One\:fifth\:of\:120 = (\frac{1}{5})120\:or\:\frac{1}{5}\times120}[/tex]

[tex]\mathrm{Turn\:\frac{1}{5}\:into\:a\:decimal,\:by\:dividing\:1\:by\:5}[/tex]

[tex]\mathrm{0.2\times120}[/tex]

[tex]\mathrm{Multiply\:0.2\:and\:120}[/tex]

[tex]24[/tex]

So the answer to "What is one fifth of two thirds of 180", would be 24

By multiplying the number by the corresponding fractions, we can see that the fifth part of two-thirds of 180 is 24.

The fifth part of two-thirds of 180 is 24.

To calculate it:

Step 1: Find two-thirds of 180, Just multiply the fraction 2/3 by the number

(2/3) * 180 = 2 * 180 / 3 = 360 / 3 = 120

Step 2: Find the fifth part of the result from Step 1, similar like we did above, multiply the number by the fraction 1/5.

(1/5) * 120 = 120 / 5 = 24

So, the fifth part of two-thirds of 180 is 24.

Learn more about fractions at:

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Answer:

– Practicing is key. ...

2 – The formula sheet is your best friend. ...

3 – Understand what your calculator can do. ...

4 – Understanding the derivations of certain formulas. ...

5 – Understand your mistakes and close up any knowledge gaps. ...

6 – Practice on example questions in your textbook.

Answer:

C) positive association

Step-by-step explanation:

draw a line if these points gather around a line there is a relationship . The slope of the line is positive .So graph positive correlation .

Answer:

Step-by-step explanation:

The center of a circle is the midpoint of any diameter. The midpoint of a segment has coordinates that are the average of the coordinates of the segment end points.

The length of the radius is the distance from the center to an end point of a diameter. Alternatively, it is half the length of the diameter.

__

Center = (A +B)/2 = ((7, -5) +(-1, 10))/2 = (6, 5)/2 = (3, 2.5)

Radius = 1/2|AB| = 1/2√((7 -(-1))² +(-5 -10)²) = 1/2√(64 +225) = 1/2√289

= 17/2 = 8.5

The center of the circle is (3, 2.5), and the radius is 8.5 units.

__

Additional comment

The differences of diameter end point coordinates are 8 and 15, suggesting the Pythagorean triple {8, 15, 17} will come into play. It does.

Answer:d

Step-by-step explanation:

12,000 x 6.5% = 780 divided by 2 =390

D. $390​

May I get brainliest please? :)

Answer:

19/2, or 9.5

Step-by-step explanation:

It's half of the longest side (You can see by flipping the triangle on the side between the 30 and the 90 angle, and notice that you get two halves of an equilateral triangle). In our case, its [tex]\frac {19}2 = 9.5[/tex]

Answer:

120

Step-by-step explanation:

Answer:

$960.5 dollars the answer is $960.5 the tax was 110.5

Answer:

72 is a multiple of 3, 8, and 12.

Step-by-step explanation:

(3 x 24 = 72, 8 x 9 = 72, 6 x 12 = 72)

Write the multiples of 3, 8 and 12:

3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,

75,78,81,84,87,90,93,96

8:

8,16,24,32,40,48,56,64,72,80,88,97

12: 12,24,36,48,60,72,84,96

The common multiple between 49 and 95 is 72

Answer: 72

Answer:

No solution (C)

Step-by-step explanation:

System of Linear Equations given :

  [1]    7x + 4y = 16

  [2]    42x + 24y = 110

Solve by Substitution :'

// Solve equation [2] for the variable  y

 [2]    24y = -42x + 110

 [2]    y = -7x/4 + 55/12

// Plug this in for variable  y  in equation [1]

  [1]    7x + 4•(-7x/4+55/12) = 16

  [1]    0 = -7/3 =>  NO solution

Answer:6

Step-by-step explanation:

since it is A half circle it is the hhalf Value of the area of the full circle

Answer:

A. 012.+22212

Step-by-step explanation:

A because you use that to add

The equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5

A whole number means a number that does not include any fractions, negative numbers or decimals.

Given that, number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators,

1) 0/5 + 1/5 + 2/5 + .... + 5/5 =

1/5(0 + 1 + 2 + 3 + 4 + 5) = 1/5(15) = 3 [whole number]

2) 0/6 + 1/6 + 2/6 + .... + 6/6 =

1/6(0 + 1 + 2 + 3 + 4 + 5 + 6) = 21/6 = 7/2 [fraction]

3) 0/8 + 1/8 + 2/8 + .... + 8/8 =

1/8(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) = 36/8 = 9/2 [fraction]

4) 0/12 + 1/12 + 2/12 + .... + 12/12 =

1/12(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) = 78/12 = 13/2 [fraction]

Hence, the equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5

Learn more about whole number click;

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The complete question is attached

Answer:

500 divided by 10 = 50

Step-by-step explanation:

quotient means the answer of a division problem 50 is the quotient of 500 being divided by 10

Answer:

Setting this up;

50 = p/10

Step-by-step explanation:

Using the keywords;

'same as'

'quotient of'

and 'of p', we can determine how to format this expression.

Answer:

[tex]\frac{5}{3}[/tex] should be correct!

Step-by-step explanation:

Answer: hope this helped!

Step-by-step explanation:

the clues for set up are all right in front of you:

x= first angle's measurement

x+5 = second angle's measurement

3x = third angle's measurement.

Their sum is 180 degrees; thus you can add the three expressions to get an equation that you can solve.

Learn from this example, please.

Answer:

3000cm3

Step-by-step explanation:

(a) Length =10cm, breadth =8cm, height =3cm

Volume of cuboid =lbh=10×8×3=240cm  

3

[V=240cm  3 ]

(b) Length =1.5m, breadth =25cm, height =15cm

[1m=100cm]

Volume of cuboid =lbh=150×25×15=56250

[V=56,250cm3 ]

(c) Length =15cm, breadth=2.5dm, height =8cm

[1dm]=10cm

Volume of cuboid =lbh=15×25×8

[V=3000cm3 ].

Step-by-step explanation:

Answer:

y

=

(

2

x

+

5

)

2

Simplify

(

2

x

+

5

)

2

.

Tap for more steps...

y

=

4

x

2

+

20

x

+

25

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

0

or

1

for each of its variables. In this case, the degree of variable

y

is

1

and the degree of variable

x

is

2

.

Not Linear

Step-by-step explanation:

please put me in brainlest

Answer:

2.67857142855

Step-by-step explanation:

every M of cloth costs 0.17857142857rs (10/65=0.17857142857)

So, 15m of cloth costs 2.67857142855rs (0.17857142857*15= 2.67857142855)

Answer:2.7rs

Step-by-step explanation:

First find the cost of one m:

We can set it up as a fraction in the form of cloth (mm)/cost(rs)

=
56m/10rs

let x be the cost in rs of 1m:

1m/x

This is kind of like a ratio where 56/56=1 so therefore 10/56 (because whatever you do to the top you do to the bottom) will give us x or in other words the cost of 1 meter of cloth:

so after dividing both 56 and 10 by 56 we get:

1/0.18 (it would be a longer decimal but always try to round it if you can!)

That mean 1m of cloth costs 0.18 rs

So now let’s apply the same rule as before (treating the fraction as a ratio and doing the same on both top and bottom and let’s apply it again to find the cost of 15 meters!)

1m * 15

————-

0.18 * 15

=

15m

———-

2.7rs

therefore the cost of 15 m is 2.7rs

confirm with your teacher wether they want you to round it or not however.

Hope this helps!

:D

Answer:

C. Maintenance

Step-by-step explanation:

hope this helped

Answer:

8.0730000*10^6

Answer:

8,073,000

=8.1 × 10⁶

Step-by-step explanation:

The answer is above

Answer:

8^2

Step-by-step explanation:

8 squared is equal to 64. 64 to the power of 1 is also 64.

Answer:

To find inverse functions, switch the two variable and solve for y:

Step-by-step explanation:

x=2y²-4

x+4=2y²

(x+4)/2=y²

√((x+4)/2)=y

Hope this helps!

Answer:

q1, b ;q2, c

Step-by-step explanation: