Which one of the following mathematical statements is true? A. 0 ÷ 28 = 0 B. 28 – 0 = 0 C. 28 ÷ 0 = 0 D. 28 0 = 0

Given:

In a two digit number the tens digit is 6 more than the units digit.

If the digits are interchanged, the sum of the new and the original number is 132.

To find:

The original number.

Solution:

Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:

If we interchange the digits, then the value of new number is:

The sum of the new and the original number is 132.

Divide both sides by 22.

So, the unit digit of the original number is 3 and the tens digit is:

Therefore, the original number is 39.

Answer:

f(x)

x=0 when y=-7.5

y int=-7.5

g(x)

x=0

set x=0

y=3^0-7

y=1-7

y=-6

f(x) yint=-7.5

g(x) yint=-6

A. y int of f(x) is less than yint of g(x)

-7.5<-6

true

B. this is oposite of A so this is wrong

C. this says that g(x) has no yint, false

D. the yints are equal

-7.5=-6

false

answer is A

Answer: answer below.

Step-by-step explanation:

To solve this system of linear inequalities, we can use a graphical method or algebraic method.

Let's start with the algebraic method.

First, let's rearrange the inequalities to solve for one variable in terms of the other.

From the first inequality, we have:

x ≤ 10 - 2y

From the second inequality, we have:

y ≤ 8 - 2x

From the third inequality, we have:

x ≤ (20 + 5y)/2

Now, let's plot the graphs of these inequalities on a coordinate plane.

Graphing the first inequality, x ≤ 10 - 2y, we start by drawing the line x = 10 - 2y. Since it is a "less than or equal to" inequality, we will draw a solid line.

Graphing the second inequality, y ≤ 8 - 2x, we start by drawing the line y = 8 - 2x. Again, since it is a "less than or equal to" inequality, we will draw a solid line.

Graphing the third inequality, x ≤ (20 + 5y)/2, we start by drawing the line x = (20 + 5y)/2. This time, since it is a "less than" inequality, we will draw a dashed line.

Now, we shade the region that satisfies all three inequalities. This region is the intersection of the shaded regions of the individual inequalities.

Finally, we can determine the solution by looking at the shaded region on the graph. The solution is the set of all points that lie within or on the boundary of the shaded region.

Alternatively, we can also solve the system of inequalities algebraically by finding the points where the lines intersect. We can then check if these points satisfy all three inequalities.

The value of diameter is,

⇒ d = 16 mm

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A cylinder has surface area of 256 π square millimeters and a height of 8 millimeters.

Since, We know that;

Surface area of cylinder is,

SA = 2πrh + 2πr²

Here, We have;

SA = 256π

h = 8 mm

Hence, We get;

256π = 2π × r × 8 + 2π × r²

128 = 8r + r²

r² + 8r - 128 = 0

r² + 16r - 8r - 128 = 0

r (r + 16) - 8 (r + 16) = 0

(r - 8) (r + 16) = 0

r = 8 mm

Hence, The value of diameter is,

d = 2 x 8

d = 16 mm

Learn more about the multiplication visit:

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Answer:

I believe the answer is 32.

The equation of the line in slope-intercept form is:

Where,

m: slope of the line

b: cutting point with the y axis.

For the slope of the line we have:

Substituting values we have:

Rewriting we have:

Then, we choose an ordered pair:

Substituting values in the generic equation of the line we have:

Rewriting we have:

Answer:

The equation of the line in slope-intercept form is:

Answer:

y =

Step-by-step explanation:

The slope-intercept form is y = mx + b, where "m" is the slope and 'b" is the y-intercept.

Given: G(-6, -4) and E(4, 8)

Now we can use these points G(-6, -4) and E(4, 8) and find the slope.

Slope (m) =

Here x1 = -6, y1 = -4, x2 = 4 and y2 = 8

Plug in these values in the above formula, we get

slope(m) =

=

Slope (m) =

Now we can use the formula (y - y1) = m(x - x1) and find the required equation.

We can plug in m value and (x1, y1) value and find the equation.

y - (-4) = 6/5(x - (-6))

y + 4  = 6/5(x + 6)

Using the distributive property a(b + c) = ab + ac, we get

y + 4 = 6/5 x + 36/5

y = 6/5 x + 36/5 - 4

y =6/5 x +(

y =