The equation of the line in the graph is y= (blank) x+ (blank)

Answer: ab =6

have:

[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

Answer:

-3 celcius

Step-by-step explanation:

Answer:

6 ℃

Step-by-step explanation:

by substacring u will see it

Answer:

Step-by-step explanation:

x^2= -25

x=5i and -5i

Answer:

The answer is 5

Step-by-step explanation:

x^2= -25

x=√-25

x=5

work it out

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.

Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:

= 32% × 475

= 32/100 × 475

= 0.32 × 475

= 152 left handed girls

The discount is $24.5 and Sale Price is $122.5.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

loren wants to buy a golf club that is $98.

Sale= 25% off

So, the discount is

= 98 x 25/100

= 98 x 1/4

= $ 24.5

and, the Sale Price is

= 98 + 24.5

= $122.5.

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Answer:

a. x6= 32

x = 32/6

x = 5.33

b. 15 = 4y

4y = 15

y = 15/4

y = 3.75

c. 2x+39= 57

2x = 57 - 39

x = (57 - 39)/2

x = 9

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

Answer:

Step-by-step explanation:

Answer:

This equation is already complete to its maximum stage.

Step-by-step explanation:

If you want other possibilities of this equation here:

y - 2 = 4x

4x = y - 2

x = [tex]\frac{y - 2}{4}[/tex]

Hope this helps!

Have a nice day!

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Answer: Not enough info

Step-by-step explanation:

Answer:

5.9

Step-by-step explanation:

Answer:

it is 5.9

Step-by-step explanation:

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

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9514 1404 393

Answer:

  3) y = -1

  5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

__

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

  y = -1

__

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

  x = -14

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

Answer:

The length of side BD is 4.62 units to the nearest hundredth

Step-by-step explanation:

In Δ ABC

∵ m∠ABC = 90°

∵ BD ⊥ AC

∴ AB × BC = BD × AC

∵ AB = 12 units

∵ BC = 5 units

∵ AC = 13 units

→ Substitute them in the equation above

∴ 12 × 5 = BD × 13

∴ 60 = 13 BD

→ Divide both sides by 13 to find BD

∴ 4.615384615 = BD

→ Round it to the nearest hundredth

∴ BD = 4.62 units

∴ The length of side BD is 4.62 units to the nearest hundredth

Answer:

Step-by-step explanation:

4 boxes with 7 pencils each

26

4*7 = 28

He has 28 pencils in total.

Number of extra pencils

= 28 - 26 = 2

Hope this helped,

Kavitha Banarjee

Answer:

The answer is C. (4x+12)+8x=180

Answer:

C

Step-by-step explanation:

alt. interior angles are congruent, so don't worry about y

also, because of alt. int. angles, we know that (4x+12)+8x=180

we can solve it by grouping like terms to get x=14

The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan (3π/4 - 2x) = - 1

We know that the value of tan 3π / 3 is negative one. Then the equation will be

tan (3π/4 - 2x) = tan 3π/4

Apply inverse of tangent on both sides, then the equation will be

(3π/4 - 2x) = 3π/4, -π / 4

         - 2x = 0, -π

           2x = 0, π

             x = 0, π/2

Then the value of the variable x will be {0, pi/2, pi}.

Then the correct option is B.

The question was incomplete, but the complete question is given below.

Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]

A) {0, pi}

B) {0, pi/2, pi}

C) {0, pi, 2pi}

D) {0, pi/2, pi ⋅ 3pi/2}

More about the trigonometry link is given below.

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Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400

The measure of the other 7 angles are;

m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8  = 71°;  m∠6 = m∠7 = 109°

We are given;

m∠1 = 71°

Thus;

m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°

Thus; m∠1 + m∠2 = 180°

71 + m∠2 = 180°

m∠2 = 180 - 71

m∠2 = 109°

Now, m∠2 and m∠3 are alternate angles and as such;

m∠2 =  m∠3

Thus; m∠3 = 109°

Similarly,

m∠1 and m∠4 are alternate angles and as such;

m∠1 =  m∠4

Thus;

m∠4 = 71°

m∠1 and m∠5 are corresponding angles and as such;

m∠1 =  m∠5

Thus;

m∠5 = 71°

m∠2 and m∠6 are corresponding angles and as such;

m∠2 = m∠6

Thus;

m∠6 = 109°

Similar to how angles were gotten earlier, we can say that;

m∠5 = m∠8  = 71°

and m∠6 = m∠7 = 109°

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b ≤ −18 or (−∞, −18)

Answer:

slope of 10/1 or simplified to 10

Step-by-step explanation:

Answer:

slope is 10/7

Step-by-step explanation:

use the formula or plot the points on a graph to get the slope is 10/7

Answer:

15 track practices

Step-by-step explanation:

because 23 minus the 7 she already ran is 15 which she runs 1 each practice

Answer:

16

Step-by-step explanation:

because if you minus 7 from 23 you get 16 so she would have to have 16 practices

Answer:

{-2, 0, 1, 3}.

Step-by-step explanation:

First of all domain is the x- coordinates. The domain of the relation is

{-2, 0, 1, 3}.

Hope this helped! If so, plz mark brainliest.

The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

It is the set of all x values and the range represent the set of all y values with respect to the set of ordered pairs. It should be written as the (x,y) at the time when the set of ordered pairs, so first we have to find the domain for x values from the relation.

hence, The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

Learn more about domain here; https://brainly.com/question/24455077

Answer:

Step-by-step explanation:

A: quotient  

B: dividend

C: divider

Answer:

n=28

Step-by-step explanation:

Do I have to explain how i got the answer?

Answer:

4n=112

n=112/4

n=28

Step-by-step explanation:

Please give me brainliest, if I helped you

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)