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3 years ago

To classify

Mathematics

1 answer:

Talja [164]3 years ago

7 0

Answer:

The system of linear equations consist of parallel lines

Step-by-step explanation:

Here, we want to classify the system of linear equations

Firstly, let us write both in the standard forms

For the first;

y = 3x + 2

For the second;

y = 3x-1

The general form of a linear equation is;

y = mx + b

where m is the slope and b is the y-intercept

In both cases, m = 3 and that means the slope is the same

When two lines have same slope values, they are said to be parallel to each other

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Find side x , give your answer 1 decimal place

Vladimir [108]

Given:

Let A denote the angle of the given triangle which measures ∠A = 81°

Let B denote the angle which measures ∠B = 40°

The length of the side a = x.

The length of the side b = 7 cm.

We need to determine the value of x.

Value of x:

The value of x can be determined using the law of sine formula.

Applying the law of sine, we have;

$\frac{sin \ A}{a}=\frac{sin \ B}{b}$

Substituting the values, we have;

$\frac{sin \ 81^{\circ}}{x}=\frac{sin \ 40^{\circ}}{7}$

Simplifying, we get;

$\frac{0.988}{x}=\frac{0.643}{7}$

Cross multiplying, we have;

$0.988 \times 7=0.643 x$

$6.916=0.643x$

$10.8=x$

Thus, the length of the side x is 10.8 cm.

4 0

3 years ago

Which is greater, 2 or -13?

sineoko [7]

Positive numbers are always greater than negative numbers.

Therefore 2 > -13. In words, 2 is greater than -13.

6 0

3 years ago

Read 2 more answers

How do you identify the constant of proportionality when given a graph?

Rzqust [24]

Find two easy points on a graph and go over however many times you need to rise and how many times to you run.

5 0

3 years ago

Choose the function table that matches the given rule Rule:output=input -2

kirill [66]

Answer:

option B

Step-by-step explanation:

Rule:output=input -2

LEts analyze the table

we use the input and apply the rule to get the output

LEts subtract 2 from input to get the output

Input Rule (input -2 ) Output

-3 -3-2 -5

-7 -7-2 -9

6 6-2 4

Option B matches with our table

7 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago