what is the slope intercept equation of the line below (0, 4) (2, -2)

9514 1404 393

Answer:

  log₁₂(4)

Step-by-step explanation:

The applicable rule of logarithms (to the same base) is ...

  log(a^b) = b·log(a)

__

Then the expression simplifies as follows:

  [tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]

Answer:

The indifference point is 20 tiles.

Step-by-step explanation:

First, we need to establish the total cost formulas for each store:

Store 1:

Total cost= 10 + 0.99*x

Store 2:

Total cost= 1.49*x

x= number of tiles

Now, we equal both formulas and isolate x:

10 + 0.99x = 1.49x

10= 0.5x

10/0.5=x

20=x

The indifference point is 20 tiles.

Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

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9514 1404 393

Answer:

  18

Step-by-step explanation:

  50% × 36 = 0.50 × 36 = 18

There are 18 bikini styles at David's Swimwear.

Answer:

18 bikini styles.

Step-by-step explanation:

Divide 36 by 2.

Answer:

8.26 repeating 6/ square root 11

Step-by-step explanation:

Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. ...

e, also known as Euler's number, is another common irrational number. ...

The Square Root of 2, written as √2, is also an irrational number.

Answer:

C

Step-by-step explanation:

edge 2020 took the quiz

Answer:

x=56

(I do not know 100% but give it a try)

Step-by-step explanation:

You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x    180-60= 120   120-40-24= 56

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

Answer:

-1/2 or [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

to find the slope, use the formula

(y₁ - y₂)/(x₁ - x₂)

(2 - -3)/(-4 - 6)

(2 + 3)/(- 4 - 6)

5/-10

1/-2

-1/2

Given:

The function is

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

To find:

The correct ordered pairs.

Solution:

We have,

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

For x=3,

[tex]g(3)=(\dfrac{1}{5})^3[/tex]

[tex]g(3)=\dfrac{1}{125}[/tex]

So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].

For x=-2,

[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]

[tex]g(-2)=(5)^2[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-2)=25[/tex]

So, the ordered pair is [tex](-2,25)[/tex].

For x=1,

[tex]g(1)=(\dfrac{1}{5})^1[/tex]

[tex]g(1)=\dfrac{1}{5}[/tex]

So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].

For x=-1,

[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]

[tex]g(-1)=(5)^1[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-1)=5[/tex]

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

6

Step-by-step explanation:

Answer: x=6

Step-by-step explanation: 3(x+2)=24

(3)(x)+(3)(2)=24

3x+6=24

3x+6−6=24−6

3x=18

3x/3=18/3

x=6

Answer:

x = -4 , x = -1

Step-by-step explanation:

x² + 5x + 4 = 0

x² + 4x + x + 4 = 0

x ( x + 4 ) + x + 4 = 0

( x + 4 )( x + 1 ) = 0

i) x + 4 = 0

x = -4

ii) x + 1 = 0

x = -1

Answer:

divide the monthly payments by the hire purchase

Step-by-step explanation:

this may be what your asking

Answer:

No solution.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

If the lines are parallel, they will have no solutions.

If the lines are the same, they will have infinite solutions.

If the lines are anything else, they will usually have 1 solution.

If we graph the systems of equations, we see that the lines are parallel.

∴ the systems has no solution.

Answer:

12 yd

Step-by-step explanation:

yo yo yo hi hi hi hi hi  

so b*h=96

so 8b=96

b=12

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}} [/tex]

Step-by-step explanation:

✰ [tex] \underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}[/tex]

The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.

❀ [tex] \sf{Now, \: Let's \: solve} : [/tex]

☄ [tex] \underline{ \underline{ \sf{Provided : }}}[/tex]

☄ [tex] \underline{ \sf{To \: Find :}}[/tex]

✏ [tex] \text{Set \: up \: an \: equation \: and \: solve \: for \: x.}[/tex]

[tex] \text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}[/tex]

→ [tex] \sf{2x + 3x + 4x = 180 \degree}[/tex]

→ [tex] \sf{9x = 180 \degree}[/tex]

→ [tex] \sf{ \frac{9x}{9} = \frac{180 \degree }{9} }[/tex]

→ [tex] \sf{x = 20 \degree}[/tex]

The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :

[tex] \text{∠c = 4x}[/tex]

→ [tex] \sf{∠ \: c \: = 4 \times 20 \degree}[/tex]

→ [tex] \boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}[/tex]

Hence , The measure of ∠ C is 80 °

Hope I helped ! ッ

Have a wonderful day / night ! ♡

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Answer:

n-2=10

n=10+2

n=12

please thnx my answer

Answer:

12

Step-by-step explanation:

n - 2 = 10

(add 2 to the other side (Addition property of equality))

10 = n

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

Given:

The equation is

[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]

To find:

The value of d.

Solution:

We have,

[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]

Taking LCM, we get

[tex]\dfrac{-5d-8d}{20}=39[/tex]

[tex]\dfrac{-13d}{20}=39[/tex]

Multiply both sides by 20.

[tex]-13d=39\times 20[/tex]

Divide both sides by -13.

[tex]d=\dfrac{39\times 20}{-13}[/tex]

[tex]d=-3\times 20[/tex]

[tex]d=-60[/tex]

Therefore, the value of d is -60.

Answer:

52 students ride a bus to school

Step-by-step explanation:

Step 1: Our output value is 260.

Step 2: We represent the unknown value with x.

Step 3:  From step 1 above $260 = 100%.

Step 4: Similarly, x = 20%.

Step 5: This results in a pair of simple equations:

260 = 100%(1).

x = 20%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

[tex]\frac{260}{x}[/tex] = [tex]\frac{100}{20}[/tex]%

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{260}[/tex] = [tex]\frac{20}{100}[/tex]

⇒x=52$

Therefore, 20% of 260 is 52.

Hope this helps! :)

BRAINLIEST PLEASEEE

The number of students who ride a bus is 52.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of students = 260

The number of students who ride a bus.

= 20% of 260

= 1/5 x 260

= 52

Thus,

The number of students who ride a bus is 52.

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Answer:

the answer is 45 minutes, hope this helped :-)

Step-by-step explanation:

18:3=6

270:6=45

Answer:they spent 15 minutes in the shower

Step-by-step explanation:

Answer:

x- 63 and y - 27

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

Answer:

a, b, and d

Step-by-step explanation:

you can have the same output, but not the same input

Answer: a, b, d

Step-by-step explanation:

the x values (input values) CANNOT be the same in a set of coordinates; if they do have the same x values, then the are not a function.

both c and e have some of the same x values so they can't pass the vertical line test and therefore are not functions.

hope this helps!!

Answer:

Here Is Your Answer Less Than 0 But Greater Than 10

Explanation: Just like any of your two-step equations,

in this inequality,  start by isolating the x term which in this

case is -3x by subtracting 5 from both sides.

That leaves you with -3x < -24.

To get x by itself, divide both sides by -3 but watch out.

When you multiply or divide both sides of an inequality by a

negative number, you must switch the direction of the inequality sign.

So we have x < 8 and put your final answer in

set notation and it look like this → {x: x < 8}.

Answer:

106

Explain how you found your answer:

Answer:

Huh!

The circles with of same radii or same circumference or same area are congruent.

No need to proof!

Step-by-step explanation:

Or just type it,

'Since they have the same radii, they are congruent!'

The two given circles are congruent as their radius are similar.

So, the two circles are congruent because:

We know that:

So, the two circles will be congruent.

Therefore, the two given circles are congruent as their radius are similar.

Know more about circles here:

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Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.

D because y (time spent) = 50 × x (distance travelled)

225÷4.5=50

x÷y=50