Point C divides AB into two segments with lengths that form which ratio?

Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

$k_{3} = \frac{y_{3}}{x_{3}}$

$k_{3} = \frac{52.5}{15}$

$k_{3} = \frac{7}{2}$

Since $k_{1} = k_{2} = k_{3}$ , the constant of proportionality is 3.5.

8 0

3 years ago

I need help on #4 PLS HELP IW ILL MARK BRAINLIEST

storchak [24]

Answer:

i think its 63

3:4

84 divided by 4 equals 21, so then you multiply 3 by 21 and get 63

5 0

3 years ago

Read 2 more answers

Please help with #35 I don’t get it and I’m really stressed

skad [1K]

Don't let it get to ya. If they didn't think you're capable of answering this question, they wouldn't ask you. So they know your abilities better than you do.

We don't know the unknown number, so in order to discuss it, we have to give it some kind of a name. We could call it 'x', 'y', 'Ana, 'Q', or 'Ralph'. Let's call it 't'.

The unknown number . . . . . t

Five times the number . . . . . 5t

Nine less than five times the number . . . . . 5t - 9 . Hold on to this quantity.

Twice the number . . . . . 2t .

Three more than twice the number . . . . . 2t + 3. Hold on to this quantity too.

The question says that these two quantities are equal. So the equation is

5t - 9 = 2t + 3 . This is the equation in both choices 'c' and 'd' . I guess we'll have to solve it to find out which choice is the correct one.

The equation is . . . . . 5t - 9 = 2t + 3

Add 9 to each side . . . . . 5t = 2t + 12

Subtract 2t from each side . . . 3t = 12

Divide each side by 3 . . . . . t = 4 .

It looks like choice-d is the winner.

3 0

3 years ago

Read 2 more answers

What two numbers have a sum of 215 and a difference of 137

BabaBlast [244]

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

3 0

3 years ago

Use prime factor decomposition to find the Hcf of 99 and 165

const2013 [10]

Answer:

HCF = 33.

Step-by-step explanation:

99 = 3*3*11

165 = 3*5*11

3 and 11 are common so the HCF = 3*11

= 33.

5 0

3 years ago