I need to answer A and B

How would i solve this porportion problem. #20

Vikentia [17]

#20 16/36 = 4/d 4 x 36 = 144/16= 9 d=9 #24 144/40 = x/5 144 x 5/40=18 x=18

7 0

3 years ago

The endpoints of directed line segment PQ have coordinates of P(-7, -5) and Q(5,3). What are the coordinates of point A, on PQ,t

Kamila [148]

Answer:

Therefore the co-ordinate of the point A is (-4,-3)

Step-by-step explanation:

If A(x₁,y₁) and B(x₂,y₂) is divided by a point in ration m:n internally.

Then the co-ordinate of the point is $(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_2}{m+n})$ .

Given two points are P(-7,-5) and Q(5,3).

A point A on PQ, that divides PQ into a ratio of 1:3.

Since the point A lies on the PQ.

Therefore it divides the line segment PQ internally.

Here x₁= -7,y₁= -5 , x₂= 5,y₂ =3, m=1,n=3

Therefore the co-ordinate of the point A is

$(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})$

$=(\frac{-16}{4},\frac{-12}{4})$

=(-4,-3)

6 0

3 years ago

What is the equation, in standard form, of a parabola that models the values in the table?

Vitek1552 [10]

Answer:

b. 4x^2 + 3x - 6

Step-by-step explanation:

The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.

It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.

a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4

b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point

c. Because (b) matches, we know this one will not.

The appropriate choice is B.