All categories

2 years ago

Instructions: Select the correct answer from each drop-down menu.

Mathematics

1 answer:

vovangra [49]2 years ago

6 0

Answer: The answer is (A) $\dfrac{4}{3}.$ and (C) $4x-3y=0.$

Step-by-step explanation: We are given a graph with a point A having co-ordinates (3, 4) and origin O(0, 0). We are to find the slope and equation of line OA.

Since O(0, 0) and A(3, 4) are two points on the line OA, so its slope will be

$m=\dfrac{4-0}{3-0}=\dfrac{4}{3}.$

And the equation of the line will be

$y-0=\dfrac{4}{3}(x-0)\\\\\\\Rightarrow y=\dfrac{4}{3}x\\\\\\\Rightarrow 3y=4x\\\\\Rightarrow 4x-3y=0.$

Thus, the correct options are (A) and (C).

You might be interested in

If the coordinates of point E are (-4, y), what is the value of<br> у?

BlackZzzverrR [31]

Answer:

-8

Step-by-step explanation:

First we need to find the slope of CD.

We know C is (-10, -2)

and we know D is (10,6)

If we use the slope formula, we can see the slope is $m=\frac{6-(-2)}{10-(-10)}$

$m = \frac{8}{20} \\m=\frac{2}{5}$

We can see point F is at (6,-4)

We can find the equation of this line by using point slope form, and plugging in F as our point.

$y-(-4)=\frac{2}{5}(x-6)\\y=\frac{2}{5}x-\frac{32}{5}$

To find where E, we need to find the y value when x = -4

$y=\frac{2}{5}(-4)-\frac{32}{5}\\y =-8$

8 0

2 years ago

Read 2 more answers

Which of the following quantities are inversely proportional? WILL GIVE BRAINIEST

Effectus [21]

Answer:

option 1

option 3

option 4

Step-by-step explanation:

Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.

option 1:

Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.

option 2:

The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.

option 3:

Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.

option 4:

If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.

PLEASE MARK ME AS BRAINLIEST!!

7 0

2 years ago

Read 2 more answers

HHHHHHHHHHHEEEEEEEEEELLLLLLLLPPPPPPP FIRST RIGHT GITS BRAINLEST

deff fn [24]

Answer:

300

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.

marishachu [46]

Answer:

$\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18$

Step-by-step explanation:

We have been given the function

$f(x)=-2x^2+4x^3+3x^2+18$

From the rational zeros theorem, we have

$\text{Possible rational zeros}=\pm\frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}$

From the given function,

Leading coefficient = 2

Factors of 2 are 1,2

Constant term = 18

Factors of constant term = 1, 2, 3, 6, 9, 18

Hence, we have

$\text{Possible rational zeros}=\pm\frac{1,2,3,6,9,18}{1,2}\\\\\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18$

6 0

2 years ago

Find the slope and the y-intercept of the graph of the linear equation.<br><br> y = 6x

Snowcat [4.5K]

Y-intercept=0
slope=6/1

hope this helps

4 0

3 years ago