What polynomial has roots 3, 7, and −2? What polynomial has roots 2, 4i, and −4i?

Line CH contains points (-2, 6) and H(5, -3) What is the slope of G?

Xelga [282]

Answer:

The slope of line G is $\dfrac{- 9}{7}$ .

Step-by-step explanation:

Given as :

The points of the line CH contains

C = $x_1$ , $y_1$ = - 2 , 6

H = $x_2$ , $y_2$ = 5 , -3

Let The slop of line CH = G

Now, slope of line is

G = $\dfrac{y_2 - y_1}{x_2-x_1}$

i.e G = $\dfrac{- 3 - 6}{5 -(-2)}$

Or, G = $\dfrac{- 9}{5 +2}$

Or,G = $\dfrac{- 9}{7}$

So, The slope of the line CH = G = $\dfrac{- 9}{7}$

Hence, The slope of line G is $\dfrac{- 9}{7}$ . Answer

4 0

4 years ago

Consider this sequence: -81, -54, -36, -24, … . The sequence is . The common ratio of the sequence is . The sum of the first fiv

solong [7]

Answer:

The reason for the decreasing sequence is $\frac{2}{3}$

the sum of the sequence is -243

Step-by-step explanation:

Note that the numbers are decreasing so we will use the following formula to find the sum:

S∞= $\frac{t1}{1-q}$ ,

where t1 is equal to the first number of the sequence and q is the reason that gives the following results.

to find q this form is used;

q= $\frac{t2}{t1}= \frac{-54}{-81} =\frac{2}{3}$

then we replace in the formula of the sum to find the total

7 0

4 years ago

2x^(2)+12x+8 using completing square

gayaneshka [121]

Answer:

${2x}^{2} + 12x + 8 \\ = {x}^{2} + 6x + 4 \\ = {x}^{2} + 6x + {( \frac{6}{2}) }^{2} + 4 - {( \frac{6}{2} )}^{2} \\ = ( {x}^{2} + 6x + {3}^{2} ) + ( - 5) \\ = {(x + 3)}^{2} - 5$

8 0

4 years ago

Dr. Jones is interested in studying how white noise can influence participants' sleep quality.

Kitty [74]

Answer: Fatigue level

Step-by-step explanation: Dependent variable refers to the measured or observed variable in an experimental study. The dependent variable is the variable observed or studied in other to make assessment of effects which occurs by varying the independent variable. In the study described above, the self reported fatigue level is measured or recorded while subjecting the participant to varying conditions of noise; white noise and normal noise level, which are the independent variables. The dependent variable, fatigue level is the variable being measured in the experiment by subjecting the participants to the two different traet ment conditions which are the independent variables.

6 0

3 years ago

Identify the translation of the figure with the vertices F(4,0), G(1,3), H(2,6) and I(4,2), along the vector ⟨−4,−4⟩. HELP PLEAS

mr Goodwill [35]

Answer:

the last choice shown here: F'(0, -4), G'(-3, -1), H'(-2, 2), I'(0, -2)

Step-by-step explanation:

The translation vector tells you that the new coordinates are found by adding -4 to each of the old coordinates. When you realize that the answer choices differ in their values for H' and I', you can conclude that you only need to find one of those to determine the correct answer.

H' = H + (-4, -4) = (2-4, 6-4) = (-2, 2) . . . corresponds to the last choice shown

_____

When you subtract 4 from each of the coordinates of the other points, you find they also match the last answer selection.

4 0

4 years ago