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3 years ago

If y varies directly with X and y =10 and X=4 write the direct linear variation equation .

Mathematics

1 answer:

rosijanka [135]3 years ago

7 0

Y= kx (k being a constant)
10= k × 4 k=5/2

y= 5x/2 The answer is C.

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It says round all calculations to one decimal point Pls show workings it due in a hour

MissTica

Answer:

$2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}$

Step-by-step explanation:

The distance between two coordinates is given by:

$d=\sqrt{(\Delta x)^2+(\Delta y)^2}$ , or $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.

The distance between $(3, -2)$ and $(7, 0)$ is:

$d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}$

The distance between $(3, -2)$ and $(5, 5)$ is:

$d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}$

$d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}$ .

Therefore, the total perimeter of the triangle is:

$\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}$ .

6 0

2 years ago

What’s the lowest. Omen multiply of 30, 40

Sati [7]

The least common multiple of each is 120

4 0

3 years ago

during a bike challenge, riders have to collect various colored ribbons. each 1/2 mile they collect a red ribbon, each 1/8 mile

Natali [406]

The correct answer is: 
green and blue.

Explanation: 
We want to see which fractions $\frac{3}{4}$ is a multiple of. We know that $\frac{3}{4}$ is a multiple of $\frac{1}{4}$ , because $\frac{1}{4}$ *3= $\frac{3}{4}$ .

We can divide fractions to determine if $\frac{3}{4}$ is a multiple of $\frac{1}{2}$ :
$\frac{ \frac{3}{4}}{ \frac{1}{2}}$ ;

in order to divide fractions, flip the second one and multiply:
$\frac{3}{4}$ )* $\frac{2}{1}$ = $\frac{6}{4}$ =1 $\frac{1}{2}$ .
This did not divide evenly, so $\frac{3}{4}$ is not a multiple of 1/2.

Checking to see if $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ , $\frac{ \frac{3}{4}}{ \frac{1}{8}}$ ;

flip the second one and multiply:
$\frac{3}{4}$ * $\frac{8}{1}$ = $\frac{24}{4}$ =6.
This divided evenly, so $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ .

6 0

3 years ago

Read 2 more answers

Given: ABC is a right triangle with right angle C. AB = 18 centimeters and m<A = 22°.

rewona [7]

Answer:

6.74

Step-by-step explanation:

may be it is .......

3 0

2 years ago

HELP ME PLSSSSSS THIS IS HARD

Novosadov [1.4K]

Step-by-step explanation:

Given:

Function 'f' with two variables 'x' and 'y'.

To find:

Function rule if the parent function 'f' is rotated by 270° clockwise.

Solution:

A function given with two variables 'x' and 'y',

f(x,y) → (x, y)

If this function is rotated by 270° clockwise, the function rule will become,

f(x, y) → (-y, x)

Therefore, Option A will be the correct option.

6 0

2 years ago

Read 2 more answers