(-4,2) and (3,-5) the slope of the line, M, is?

9. ax + by = (a - b), bx - ay = (a + b)

mart [117]

Answer: give me brainliest

Step-by-step explanation:

ax+by=a-b

ax=a-b-by

x=a-b-by/a←

bx-ay=a+b

substituting

b(a-b-by/a)-ay=a+b

ab-b²-b²y/a-ay=a+b

ab-b²-b²y-a²y/a=a+b

ab-b²-(b²+a²)y=a²+ab

-(b²+a²)y=a²+ab-ab+b²

(b²+a²)y=-(a²+b²)

y=-(a²+b²)/a²+b²

y=-1←

substituting value of y

x=a-b-b(-1)/a

x=a-b+b/a

x=a/a

x=1

8 0

2 years ago

What is the inverse function f(x)=-3x-2

vesna_86 [32]

f^-1 (x) = 2/3 + x/3

6 0

3 years ago

The sample variance of hourly wages was 10. what is the sample standard deviation?

lapo4ka [179]

Standard deviation is defined as the quantity which expresses by how much the members of a group is different from the mean value for the group.

The sample standard deviation with a sample variance of hourly wages 10 will be $3.16.

Explanation:

The standard deviation is the square root of the variance.
Therefore,
The square root of 10 dollars can be calculated as:

√10 = $3.16

8 0

3 years ago

a fruit delivers its fruit in two types of boxes: large and small. a delivery of 3 large boxes and 5 small boxes has a total wei

Masteriza [31]

Answer:

The weight of a small box = 13.5 kg

The weight of 1 large box = 18.5 kg

Step-by-step explanation:

Let us assume the weight of a small box = m kg

And the weight of 1 large box = n kg

Now, the weight of 5 small box = 5 x (weight of 1 small box) = 5 m

Also, the weight of 3 large box = 3 x (weight of 1 large box) = 3 n

Here, 3 large boxes + 5 small boxes = of 123 kilograms

⇒ 5 m + 3 n = 123 .... (1)

Again, the weight of 2 small box = 2 x (weight of 1 small box) = 2 m

Also, the weight of 12 large box = 12 x (weight of 1 large box) = 12 n

Here, 12 large boxes + 2 small boxes = 249 kilograms

⇒ 2 m+ 12 n = 249 .... (2)

Now, solving both the given equations by ELIMINATION, we get:

5 m + 3 n = 123 x (2)

2 m+ 12 n = 249 x (-5)

we get the new set of equitation as:

10 m + 6 n = 246

- 10 m - 60 n = -1245

Adding both equation, we get

-54 n = 999

or, n = 18.5

Now, 5 m + 3 n = 123

So, 5 m = 123 -3 (18.5) = 123 - 55.5 = 67.5

⇒ m = 13.5

Hence, the weight of a small box = m kg = 13.5 kg

And the weight of 1 large box = n kg = 18.5 kg

8 0

3 years ago

Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas

erastova [34]

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

$(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters$

Hence,

The length of slide is 18.36 meters

4 0

3 years ago