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3 years ago

Which ordered pair is a solution to the system?

Mathematics

1 answer:

babymother [125]3 years ago

5 0

all you have to do is see whether both variables of each point meet both contraints:

for a) 1<3 and 2>1 is true so a is a solution to the system

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Need to find the direction angle for each vector. #10 and #12 please!

crimeas [40]

Answer:

10) - 45 degrees

12) 0 degrees

Step-by-step explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component: 4 - 8 = -4

use the tangent function to find the angle $\theta$ :

$tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4} = -1\\\theta = -45^o$

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component: - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle $\theta$ :

$tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3} = 0\\\theta = 0^o$

5 0

3 years ago

The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is

Advocard [28]

Answer:

Step-by-step explanation:

3 0

3 years ago

the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on

lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = $M$

Let weight on Earth be = $E$

Its known that:

$M$ ∝ $E$

Thus

$M=kE$

where $k$ is constant of proportionality.

when $E=95\ lb$ , then $M=38\ lb$

thus, we have

$38=k(95)$

dividing both sides by 95.

$\frac{38}{95}=\frac{k(95)}{95}$

∴ $k=\frac{38}{95}$

Thus when $E= 100$ , $M$ would be calculated as

$M=\frac{38}{95}\times 100$

$M=\frac{3800}{95}$

∴ $M=40\ lb$ (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

8 0

3 years ago

In what form is the following linear equation written v=9x+2

Oksi-84 [34.3K]

Taking v to be y, it's written in the standard form for a linear equation, y=mx+c

6 0

3 years ago

Fine the equation of the line through (o, -3) perpendicular to y =4x+4

svlad2 [7]

Answer:

The equation of the line is $y = -\frac{x}{4} - 3$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

$4m = -1$

$m = -\frac{1}{4}$

$y = -\frac{x}{4} + b$

Through (0, -3)

This means that $b = -3$

$y = -\frac{x}{4} - 3$

8 0

3 years ago