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Kobotan [32]
2 years ago
9

Use the formula y = Kx to find K when: a. x = 3, y = 21 , K = b. x = 4, y = 24, K =

Mathematics
1 answer:
miss Akunina [59]2 years ago
3 0

Step-by-step explanation:

a.

y = kx \\ 21 = k \times 3 \\ 21 \div 3 =  \frac{(k \times 3)}{3}  \\ 7 = k

b.

y = kx \\ 24 = k \times 4 \\  \frac{24}{4}  =  \frac{(k \times 4)}{4}  \\ 6 = k

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Pls answer
cluponka [151]

Answer:

8.49\ units

Step-by-step explanation:

we know that

The Pythagorean Theorem states that in a right triangle

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs

In this problem

Let

c=AB ---> distance from point A to point B

a ---> the difference of the x-coordinates both points

b ---> the difference of the y-coordinates both points

so

a=1-(-5)=6\ units\\b=6-0=6\ units

substitute

AB^2=6^2+6^2

AB^2=72

AB=\sqrt{72}\ units

AB=8.49\ units

6 0
2 years ago
7(x+3)=-2(x-5) <br> Help pls?
olganol [36]

Answer:

x = -11/9

Step-by-step explanation:

7(x+3)=-2(x-5)

Distribute

7x+21 = -2x+10

Add 2x to each side

7x+21 +2x = -2x+10+2x

9x +21 = 10

Subtract 21 from each side

9x +21-21 = 10-21

9x = -11

Divide each side by 9

9x/9 = -11/9

x = -11/9

3 0
3 years ago
Read 2 more answers
If A line has a y -intercept of 10 and a slope of 4 . What is its equation in slope -intercept form
chubhunter [2.5K]

Answer:

<h2>          y = 10x + 4</h2>

Step-by-step explanation:

The equation of a line in slope-intercept form is: y = mx + b, where <em>m</em> is a slope and<em> b</em> is y-intercept.

m = 10

b = 4

So, the equation:  y = 10x + 4

6 0
2 years ago
The difference of the quotient m and 9 and the quotient of n and 30
Zanzabum
Answer: (30m-9n)/270

First we start with m/9-n/30.

We multiply the denominators to get 270.

Then we multiply the numerators by the original denominators to get (30m-9n).

To check, we can use m=2, and n=4

2/9-4/30=4/45

(30*2-9*4)/270=24/270=4/45
5 0
3 years ago
Simplify, picture attached
Sergeu [11.5K]

Answer:

01/6

wd

Step-by-step explanation:

5 0
2 years ago
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