Line a passes through points

The slope of a straight line equals the change in the value on the __________ axis __________ by the change in the value of the

Alenkinab [10]

Answer:

The slope of a straight line equals the change in the value on the Vertical axis Divided by the change in the value of the other axis measured between any two points on the line.

Step-by-step explanation:

Consider the provided information.

The slope of a straight line can be calculated as:

$m=\frac{Rise}{Run}$

Where, Rise is the the change in the value on the vertical axis which is divided by the Run. Run is the change in the value of the other axis.

Therefore, the complete sentence is:

The slope of a straight line equals the change in the value on the Vertical axis Divided by the change in the value of the other axis measured between any two points on the line.

5 0

3 years ago

I have no idea how to solve this

LiRa [457]

Answer:

X = 8

Step-by-step explanation:

Since the shape is a parallelogram the opposite sides are equal

The equation is:

6 = 2x -10

Solve:

6 + 10 = 2x -10 + 10
16 = 2x
2x = 16
Divide by 2 on both sides
x = 8

Check:

2(8) - 10 = 6
16 - 10 = 6
6 = 6
CD = BE
6 = 6

3 0

3 years ago

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Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0. For what value of c is f a probability density function? for that value of

Yuliya22 [10]

The value of c such that the function f is a probability density function is 2

<h3>How to determine the value of c?</h3>

The density function is given as:

f(x) = cxe^(−x^2) if x ≥ 0

f(x) = 0 if x < 0.

We start by integrating the function f(x)

∫f(x) = 1

This gives

∫ cxe^(−x^2) = 1

Next, we integrate the function using a graphing calculator.

From the graphing calculator, we have:

c/2 * (0 + 1) = 1

Evaluate the sum

c/2 * 1 = 1

Evaluate the product

c/2 = 1

Multiply both sides of the equation by 2

c = 2

Hence, the value of c such that the function f is a probability density function is 2

Read more about probability density function at

brainly.com/question/15714810

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8 0

2 years ago

(3x - 2)(4x + 1) + 0 = 0 find the zeros

kari74 [83]

Answer:

2/3 , -1/4

Step-by-step explanation:

(3x - 2)(4x + 1) = 0

Either 3x - 2 = 0 or 4x + 1 = 0

or, x = 2/3 or x = -1/4

7 0

3 years ago

The area of a rectangle is 45 cm2. Two squares are constructed such that two adjacent sides of the rectangle are each also the s

lorasvet [3.4K]

Answer:

The length of sides of one square is 5cm and length of sides of another square is 9cm

Step-by-step explanation:

Let the length of rectangle be x and width of rectangle be y.

We have given,

Area of rectangle = 45 cm²

i.e. Area of rectangle = x·y = 45 or xy = 45 ---------(1)

Next, two squares are constructed from two adjacent sides of rectangle.

i.e Side length of one square will be x and side length of another square will be y.

Area of one square = x²

And area of another square = y²

According to problem,

Sum of area of two squares is 106 cm²

∴ x²+y² = 106 ---------------(2)

From equation (1) and (2) , we can find x and y.

xy = 45 or x = $\frac{45}{y}$ , Plug this in equation (2).

We get,

x² + y² = 106

or $(\frac{45}{y} )^{2} + y^{2} =106$

or $\frac{45^{2} +y^{4} }{y^{2} } =106$

or $45^{2} + y^{4} = 106y^{2}$

On solving this equation we get ,

y²=81 or 25

or y = 9 or 5

for y =9 , x= $\frac{45}{9} =5$

or for y = 5 , x = $\frac{45}{5} =9$

Hence the length of sides of one square is 5cm and length of sides of another square is 9cm

4 0

3 years ago

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