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3 years ago

CALCULATE ANGLES USING LINE AND ANGLE RELATIONSHIPS:) will mark b for right answer

Mathematics

1 answer:

Gnoma [55]3 years ago

6 0

Answer:

Step-by-step explanation:

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What are the slope and the y-intercept of the linear function that is represented by the graph?

Tatiana [17]

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.

y=mx+b

Where m is the slope and b is the y-intercept.

Example

Graph the equation

y−2x=1

rewrite in slope-intercept form

y=2x+1

Identify the slope and the y-intercept

m = 2 and b = 1

Plot the point corresponding to the y-intercept, (0,1)

The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)

Step-by-step explanation:

You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.

Our second point = (1, 3)

y−2x=1

3−2⋅1=3−2=1

Our second point is a solution to the equation i.e. the line we drew is correct.

A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.

y=mx

In a direct variation the nonzero number m is called the constant of variation.

You can name a function, f by using the function notion

f(x)=mx+b

f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.

A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.

The most basic function in a family of functions is called the parent function. The parent function of all linear functions is

f(x)=x

6 0

3 years ago

Find the equation of the quadratic function with zeros -1 and 1 and a vertex at (0,-4)

Stolb23 [73]

The equation is f(x) = 4x^2 - 4.

You can find this by using an equation with parenthesis that equal each of the zeros.

f(x) = (x - 1)(x + 1)

Now, this equation will not give us the vertex that we're looking for. So, we must add a constant being multiplied to the front of it.

f(x) = c(x - 1)(x + 1)

Now we can find the constant by putting our vertex into the equation and solving.

f(x) = c(x - 1)(x + 1)

-4 = c(0 - 1)(0 + 1)

-4 = c(-1)(1)

-4 = -1c

c = 4

Now we put the c into the original equation and solve for standard form.

f(x) = 4(x - 1)(x + 1)

f(x) = 4(x^2 - 1)

f(x) = 4x^2 - 4

8 0

3 years ago

Evaluate the following expression

krek1111 [17]

Answer:

Step-by-step explanation:

a+b divide c -> $\frac{a+b}{c}$

Plugging in - > $\frac{2+-3}{-1}$

Simplifying: $\frac{2-3}{-1}$

Subtracting: $\frac{-1}{-1}$

Simplifying: 1

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

3 years ago

Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an i

natali 33 [55]

Let me get my book hold up

4 0

3 years ago

Use the polygon tool to graph the reflection of this rectangle across the x-axis.

iVinArrow [24]

Answer:

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices of the given rectangle ABCD,

A(3, 6), B(12, 6), C(12, 1) and D(3, 1)

Rule for the reflection of a point across x-axis,

(x, y) → (x, -y)

After reflection of the given rectangle across x-axis image points will be,

A(3, 6) → A'(3, -6)

B(12, 6) → B'(12, -6)

C(12, 1) → C'(12, -1)

D(3, 1) → D'(3, -1)

Now we can plot these points on the graph to get the image of rectangle ABCD.

7 0

3 years ago

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