The first step in the process for factoring the trinomial x^2-4x-32 is to:

Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many h

Cloud [144]

Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.

The number of hundredths in each division set is D. 9

Reasons:

The given Hunter's model consists of the following

One 10 × 10 number block

Four sets of a column of 10 cubes

Five individual cube pieces

Therefore;

In 1.45, we have;

1 unit

4 tenths

5 hundredths

Which gives;

Each single cube can be used to represent a hundredth in 0.05

One cube = 0.01

Each set of 10 cubes represents a tenth in 0.4

Each block of 10 by 10 can be used to represent the unit; 1

Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each

The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08

The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.

Therefore;

The value of each division set is 0.2 + 0.08 + 0.01 = 0.29

The number of hundredths in 0.29 = 9

The number of hundredths in each division set is therefore; D. 9

Learn more about number place value here:

brainly.com/question/184672

5 0

2 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

Step-by-step explanation:

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

6 0

2 years ago

Guys plz i need help badly I don't understand. I need all answers plz. 20 points

Rina8888 [55]

Answer:

ok

Step-by-step explanation:

8 0

3 years ago

Uhh so i need help with this , it would be very nice if ya’ll helped a sis out

Masja [62]

9514 1404 393

Answer:

(c) (3, 6)

Step-by-step explanation:

The only point that is on the line is (3, 6).

__

I find a graphing calculator to be a useful tool.

__

For solving this "by hand," you put the x- and y-values into the equation and check to see if it is true.

A. 2(0) +3(12) = 36 ≠ 24

B. 2(2) +3(9) = 31 ≠ 24

C. 2(3) +3(6) = 24 . . . . . a solution

D. 2(8) +3(0) = 16 ≠ 24

3 0

2 years ago

Find the value of L. Perimeter =22. Width is 5. So what is L. On a square

SSSSS [86.1K]

P= L+W
P= Perimeter, L= Length and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.

4 0

3 years ago