Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?

Answer:

x ≈ 17.67 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )

x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )

The measure of hypotenuse length x would be 17.67 cm

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²  

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Using the Pythagoras' identity in the right angled triangle.

hypotenuse²  = perpendicular²  + base²

x² = 16² + 7.5²

x²= 256 + 56.25

x²= 312.25

Now take the square root of both sides

x = √312.25

x =  ≈ 17.67 ( to 2 dec. places )

Therefore, the measure of hypotenuse length x would be 17.67 cm

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Answer:7^-2

Step-by-step explanation:

7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2

Answer:

6.5 km

Step-by-step explanation:

Subtract 12 - 1.20 for the first 0.5 km

We are left with 10.8

Divide 10.8 by 0.90 to find the other 0.5 km

This gives you 12, which means it was 6 km

The total cab ride was 6.5 km

Answer:

6.5 km

Step-by-step explanation:

First subtract 1.2 from 12, you get 10.8

now you are going to divide 10.8 by .90, you get 12. Now this may seem confusing but now u have do divided it by .5 because you aren't paying for every 1 km you are paying fro every .5 km. So now u have 6 km but no add that extra .5 from earlier and you get 6.5 km.

12.00-1.2=10.8 this is .5 km               10.8 divided by .9 =12

                                                           12 divided by .5=6

                                      .5 km + 6 km = 6.5

Answer:

The second figure is the correct figure.

Step-by-step explanation:

Graph (ii) is solution of system of equation.

We have to given that,

System of equations are,

2x + y = 3

3y = x - 12

Now, Solve the equations and find the solution,

Here, Equations are,

2x + y = 3  .. (i)

3y = x - 12  .. (ii)

From (i);

y = 3 - 2x

Substitute in (ii);

3 (3 - 2x) = x - 12

9 - 6x = x - 12

9 + 12 = 6x + x

7x = 21

x = 3

And from (i);

2 × 3 + y = 3

6 + y = 3

y = - 6 + 3

y = - 3

Hence, Solution is, (3, - 3).

So, Graph shown in option (ii) has intersection point (3, - 3)

Thus, Graph (ii) is solution of system of equation.

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they intesect at line a

Answer:

Yes it is

Step-by-step explanation:

Each x value is represented by exactly one y value.

The decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

If a pair of shoes is going to be discounted by 15%

Let's suppose the original cost is 100%

It has a discount of 15%

So the new cost of the shoes = 100 - 15 = 85%

To convert it to decimal divide it by 100

= 85/100

= 0.85

Thus, the decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,

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Answer:

B

Step-by-step explanation:

Answer:

(5,0) and (-2,0)

Step-by-step explanation:

In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.

Answer:

Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min

Step-by-step explanation:

4h 20min = 13/3h = 260min

35min = 7/12h

3.75h = 15/4h = 225min

Total in min: 225+260+35=520min

Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h

Answer:

A. 5

Step-by-step explanation:

The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.

From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:

(√61)² = (x)² + (x + 1)²

x² + x² + 2x + 1 = 61

2x² + 2x + 1 - 61 = 0

2x² + 2x -60 = 0

Dividing through by 2 gives:

x² + x - 30 = 0

x² + 6x - 5x - 30 = 0

x(x + 6) -5(x + 6) = 0

(x-5)(x+6) = 0

x-5 = 0 or x+6 = 0

x = 5 or x = -6

Since the length of a side cannot be negative, x = 5 units

Answer:

The correct answer is A.

Step-by-step explanation:

X=5

Answer: All of them besides <AEB

Step-by-step explanation:

Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct

HEYA BUDDY

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YOUR ANSWER IS 44

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Answer:

No ABC is not a triangle

Step-by-step explanation:

Perimeter = 22 cm

AB = 8 cm ; BC = 8 cm

AC = 22 - ( 8 + 8 ) = 6 cm

But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......

Had it followed the theorem , it could have been a right angle triangle...

Answer:

a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64

b) 7^4 = 7*7*7*7 = 2401

c) 3^2 + 2^3

= 9 + 8

= 17

d) 2^4 - 3^2

= 16 - 9

= 7

Answer:

D

Step-by-step explanation:

Answer:

D.)   9 − 2x − 2x2

Options:

Answer:

(C)The graph of f(x) has exactly two x-intercepts.

Step-by-step explanation:

Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.

(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.

(B)A linear function can only intersect the x-axis at exactly one point.

(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.

However:

A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.

The statement which cannot be true is Option C.

Answer:

C

Step-by-step explanation:

yes

Answer:

2

Step-by-step explanation:

2

Answer:

use FOIL- Firsts Outsides Insides Lasts

Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

Answer:

b (x+4)

Step-by-step explanation:

edge

Answer:

The slope is 0/ No slope.

All Y values are the same

Step-by-step explanation

just took a test on it

Answer:j=39/28 or 1.392857 or 1 11/28

Step-by-step explanation:

I assume that you are looking for j

1⁄7 + 1⁄2 + 3⁄4=j

9/14+3/4

39/28

Answer:

7+z

Step-by-step explanation:

you can open the parentheses right away because it is addition. so you are left with 5+z+2. you can add both 5 and 2 together, so the final result will be 7+z

Answer:

103.8

Step-by-step explanation:

Length of diagonal of a cube is given by the formula:

[tex]d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units[/tex]

The length of the diagonal of the cube is 103.9 units.

What is a cube?

A cube is a three dimensional figure or object which has all the side with equal length.

The length of each side of the cube = a = 60 units.

Therefore, the length of the diagonal of the cube = d = a[tex]\sqrt{3}[/tex] = 60[tex]\sqrt{3}[/tex] units = 103.9 units.

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Answer:

If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.

Step-by-step explanation:

Maybe if the door was straight, but you saw it at a right angle then maybe you      were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.

Answer:

tan A = 28/45

Step-by-step explanation:

                                                                        opposite side

the tangent function is defined as tan A = ------------------------

                                                                        adjacent side

Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45.  Thus, the tangent of angle A is

tan A = 28/45

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

62 degrees

Step-by-step explanation:

all triangles equal 180 degrees so you would add both angles together then subtract the sum of that by 180

Answer:

[tex]x=62^o[/tex]

Step-by-step explanation:

Since the addition of all internal angles of a triangle should add up to [tex]180^o[/tex], then, the missing angle can be found by subtracting the two known angles from [tex]180^o[/tex]:

[tex]x=180^o-68.5^o-49.5^o=62^o[/tex]

Answer:

9.5 gallons

Step-by-step explanation:

Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of

cocktail fruits to make a fruit punch.

Each carton of juice is 1 gallon and 3 quarts.

Therefore, 2 cartons will be:

2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts

1 quart = 0.25 gallon

6 quarts = 6 * 0.25 = 1.5 gallons

Therefore, Josh poured 3.5 gallons of orange juice.

Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.

Therefore, the number of gallons that the soda water bottle contains is:

3 * 6 * 0.25 = 4.5 gallons

The  cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.

1 pint = 0.125 gallon

2 pints = 0.25 gallons

=> 6 cans of cocktail fruit is:

6 * 0.25 = 1.5 gallons

The amount of fruit punch that Josh made is the sum of all components:

3.5 + 4.5 + 1.5 = 9.5 gallons

Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons

Recall :

Orange juice :

2 cartons = 2(1.75) = 3.5 gallons

Soda water :

3 bottles = 3(6 × 0.25) = 4.5 gallons

Cocktail juice :

6 cans = 6(2 × 0.125) = 1.5 gallons

Total gallons in mixture :

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