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3 years ago

Find the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ).

2 answers:

8 0

Formula of the midpoint:
x =(x₁+x₂)/2 and y = (y₁+y₂)/2

Plugin the respective value
for A(0,1/2) and B(0, 3/4)

x= (0+0)/2 = 0
y = (1/2 + 3/4)/2 = 5/8

Then the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ). is M(0, 5/8) or M(0, 0.625)

hram777 [196]3 years ago

7 0

Answer:

(0, 5/8)

Step-by-step explanation:

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How do you solve this do i need to plpug in the formula

Sergeeva-Olga [200]

Answer:

B. -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

1/2x +1 = √(x +2)

Squaring both sides, we get ...

1/4x² +x + 1 = x +2

1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

(x -2)(x +2) = 0 . . . . factor the difference of squares

x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

Additional comment

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

(ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

y = mx + b . . . . . line with slope m and y-intercept b

3 0

2 years ago

The difference of the degree of polynomials 3xy^2 and 2x is

sergejj [24]

Step-by-step explanation:

You have studied polynomials consisting of constants and/or variables combined by addition or subtraction. The variables may include exponents. The examples so far have been limited to expressions such as 5x4 + 3x3 – 6x2 + 2x containing one variable, but polynomials can also contain multiple variables. An example of a polynomial with two variables is 4x2y – 2xy2 + x – 7.

Many formulas are polynomials with more than one variable, such as the formula for the surface area of a rectangular prism: 2ab + 2bc + 2ac, where a, b, and c are the lengths of the three sides. By substituting in the values of the lengths, you can determine the value of the surface area. By applying the same principles for polynomials with one variable, you can evaluate or combine like terms in polynomials with more than one variable

8 0

2 years ago

Write as a product of two polynomials: (x-y)^2-a(y-x)

sattari [20]

Answer:

(x - y)(x - y + a)

Step-by-step explanation:

$(x-y)^2-a(y-x) \\ \\ = (x-y)^2 + a(x - y) \\ \\ = (x - y) \{(x - y) + a \} \\ \\ = (x - y)(x - y + a)$

3 0

3 years ago

What is the discriminant of the quadratic equation 0 = 2x2 3x – 5?

a_sh-v [17]

If you would like to find the discriminant of the quadratic equation 0 = 2x^2 + 3x - 5, you can do this using the following steps:

0 = 2x^2 + 3x - 5
0 = ax^2 + bx + c
a = 2, b = 3, c = - 5

D = b^2 - 4 * a * c = 3^2 - 4 * 2 * (-5) = 9 + 40 = 49

The correct result would be 49.

5 0

3 years ago

Read 2 more answers

If two linear regression models have the same number of explanatory variables, a model with an R2 value of 0.45 is a better pred

icang [17]

Answer:

False

Step-by-step explanation:

Given that two linear regression models have the same number of explanatory variables

First model has coefficient of determination as 0.45 while other

0.65

we know that R^2 is the proportion showing the variation of dependent because of variation in independent variables.

Hence a higher R square is always better because it ensures more linearity and hence more accuracy in the regression equation.

Hence 0.65 model is better than 0.45 model.

The given statement is false.

5 0

3 years ago