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4 years ago

5

What is CA in the figure

1 answer:

Snowcat [4.5K]4 years ago

8 0

Answer:

The answer is D good luck :)

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The endpoints of segment RS are R(-4, 3) and S(8, -5). Complete each statement using a fraction.

Ray Of Light [21]

Answer:

a. (-1 , 1) is the point at 1 : 3 of the way from R to S

b. (5 , -3) is the point at 3 : 1 of the way from R to S

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide a line segment whose end points are

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ , at ratio

$m_{1}:m_{2}$ from the first point, then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

a.

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (-1 , 1) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $-1=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $(-1)m_{1}+(-1)m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $3m_{2}=9m_{1}$

- Divide both sides by 3

∴ $m_{2}=3m_{1}$

∴ $m_{1}=\frac{1}{3}m_{2}$

∴ (-1 , 1) is the point at 1 : 3 of the way from R to S

b.

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (5 , -3) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $5=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $5m_{1}+5m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $9m_{2}=3m_{1}$

- Divide both sides by 3

∴ $3m_{2}=m_{1}$

∴ $\frac{m_{1}}{m_{2}}=3$

∴ (5 , -3) is the point at 3 : 1 of the way from R to S

8 0

4 years ago

Find the quotient. Answer to the nearest hundredth. 437 ÷ 15

lutik1710 [3]

Answer:

29.13

Step-by-step explanation:

29.1333

29.13

6 0

4 years ago

Read 2 more answers

Which is a multiple of 15 3,5,55,60

bazaltina [42]

Remember that multiples are numbers that can be divided by a number without a remainder so in this case you could add 15 by 15 to find what number in this set is a multiple of 15.

$15+15=30$

$30+15=45$

$45+15=60$

$=60$

Therefore your answer is "60."

Hope this helps.

4 0

3 years ago

Test for origin symmetry:<br> y=x/(x^2+1)

Korolek [52]

$y=\dfrac{x}{x^2+1}\\\\ -y=-\dfrac{-x}{(-x)^2+1}\\ -y=\dfrac{x}{x^2+1}\\ y=-\dfrac{x}{x^2+1}$

$-\dfrac{x}{x^2+1}\not =\dfrac{x}{x^2+1}$ so it's not symmetrical about the origin.

6 0

3 years ago

given f(x)=3^x-2 and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur b

Leviafan [203]

Answer:

$g(x)=3^{3x}+2$

The transformation that occurs from $f(x)\rightarrow g(x)$ is compression by 3 units horizontally and shift of 4 units upwards.

Step-by-step explanation:

Given

$f(x)=3^x-2$

$g(x)=f(3x)+4$

Translation Rules:

$f(x)\rightarrow f(cx)$

If $c>1$ the function is compressed $c$ units horizontally.

If $c$ and $c>0$ the function stretches $c$ units horizontally.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

Step 1

$f(x)\rightarrow f(3x)$

$f(3x)=3^{3x}-2$

[compressed $3$ units horizontally]

Step 2

$f(3x)\rightarrow f(3x)+4=g(x)$

$f(3x)+4=3^{3x}-2+4$

∴ $g(x)=3^{3x}+2$

[shifts 4 nits up]

∴ The transformation that occurs from $f(x)\rightarrow g(x)$ is compression by 3 units horizontally and shift of 4 units upwards.

5 0

3 years ago