Explanation

Given the equation x - 1 = 0,

we can solve for x by isolating it on one side of the equation.

1. Equation:

x - 1 = 0

2. Adding 1 to both sides:

x - 1 + 1 = 0 + 1

3. Simplifying:

x = 1

Explanation

If a set A has m elements and set B has n elements,

then the number of functions possible from A to B is n^m.

Explanation

x + y^2 = 1 is symmetric with the  x-axis

Let's look at the graph of 

x + y^2 = 1 about the  x− and y-axis and the lines y = x and y = − x below.

graph{(x+y^2-1)(y-x)(y+x)=0 [-10, 10, -5, 5]}

X + y^2= 1 is symmetric with the x-axis 

Explanation

1. Center:

To check for symmetry, we first need to identify the center of the graph.

The equation is in the form of a circle, x^2 + y^2 = 1, which has its center at the origin (0,0).

2. x-axis symmetry:

A graph is symmetric about the x-axis if replacing y with -y in the equation does not change the equation.

Let's test this:

x^2 + (-y)^2 - x = 1

x^2 + y^2 - x = 1

As we can see, the equation remains the same, so the graph is symmetric about the x-axis.

Explanation

Explanation

Explanation

Given:

Central angle = 180 degrees

1. Calculate the total angle of the pie graph:

The total angle of a pie graph is always 360 degrees since it represents the whole or 100% of the data.

2. Determine the proportion:

The proportion is the ratio of the given angle to the total angle of the pie graph.

In this case, it is 180 degrees divided by 360 degrees.

Proportion = 180 degrees / 360 degrees

Simplifying the division:

Proportion = 1/2

Therefore, the proportion of the central angle in the pie graph is 1/2, which can also be expressed as 50% or 0.5.

Explanation

To find the area of a parallelogram, we multiply the length of the base by the length of the altitude.

Given:

Base = 10cm

Altitude = 7cm

To find the area, we can use the formula:

Area = Base × Altitude

Substituting the given values into the formula:

Area = 10cm × 7cm

Calculating the product:

Area = 70cm²

Explanation

Let's denote the length of the rectangle as L and the breadth as B.

According to the problem, the length exceeds the breadth by 4m, which can be expressed as L = B + 4.

The perimeter of a rectangle is calculated by adding the lengths of all its sides.

P = 2L + 2B.

We are given that the perimeter of the rectangle is 84m

2L + 2B = 84

Substituting L = B + 4 into the equation, we have:

2(B + 4) + 2B = 84

Simplifying the equation:

2B + 8 + 2B = 84

4B + 8 = 84

4B = 76

B = 19

Now, substitute the value of B back into L = B + 4:

L = 19 + 4

L = 23

Therefore, the length of the rectangle is 23m and the breadth is 19m.

Explanation

An angle whose measure is greater than 90°, but less than 180° is called an obtuse angle