Help with question 21!

Answers

Answer 1

Answer: w=-3m+205
m=number of months
205= weight at first to start the diet
w=weight

a)
m=0
so;
w=-3(0)+205=205

Answer: Chris weight at the start of the diet 205 pounds

b)
W=-3m+205

The weight lost each month is the number beside "m", in this case is -3 pounds

Answer: Chris lose 3 pounds per month

c)
w=205-45=160
so
160=-3m+205
-3m+205=160
-3m=160-205
-3m=-45
m=-45/-3=15

Answer: 15 months.

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Find the values of cosΘ and tanΘ, given that sinΘ = 8/9 and Θ is in quadrant I

Answers

$sin^2 \alpha +cos^2 \alpha =1\ \ \ and\ \ \ tan \alpha = \frac{\big{sin \alpha }}{\big{cos \alpha }} \n\nsin \alpha = (8)/(9)\n\n \Rightarrow\ \ \ ((8)/(9))^2+cos^2 \alpha =1\ \ \ \Rightarrow\ \ \ cos^2 \alpha =1- (64)/(81) \ \ \ \Rightarrow\ \ \ cos^2 \alpha = (17)/(81) \n\n \alpha \ \in\ (0^0;90^0)\ \ \ \Rightarrow\ \ \ cos \alpha >0\ \ \ \Rightarrow\ \ \ cos \alpha = ( √(17) )/(9) \n\n$

$tan \alpha = (8)/(9): ( √(17) )/(9) =(8)/(9)\cdot (9)/(√(17))= (8)/(√(17))= (8\cdot √(17))/(√(17)\cdot √(17))=(8\cdot √(17))/(17)$

Solve each equation by factoring.
1) a^2- 9a + 14 = 0

Answers

it’s c [7,2] for sure! :)

Question 1 (1 point)Find the coordinates of point P that divides the directed line segment from A to B in the given ratio. A(1, 2), B(5, 4), 1 to 1

Answers

Answer:

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3

Point P( -1, -3)

Which property is BEST to use when simplifying (0.58+0.32)+ 0.68

Answers

i don’t know but i hope u find the answer

15. Radioactive nuclei are highly stable and emit radiation to becomeunstable.
TRUE
FALSE

Answers

The statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.

To determine if the statement is true or false we need to know what radiactivity is

What is radioactivity?

Radioactivity is the spontaneous disintegration of unstable atomic nuclei to form stable more energetic nuclei with the emission of radiation.

Radioactivity includes the following

disintegration of a larger atomic nuclei to a smaller more stable nuclei
Emission of radiation

So, radioactive nuclei which are unstable emit radiation and become more stable.

So, the statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.

Learn more about here:

brainly.com/question/25756215

Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

Answers

f(x) = x² - 8x + 3
y = x² - 8x + 3
- 3 - 3
y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
y + 13 = x² - 8x + 16
y + 13 = (x - 4)²
- 13 - 13
y = (x - 4)² - 13
f(x) = (x - 4)² - 13