All categories

3 years ago

Find the gradient of the line. y = -3x-2

Mathematics

1 answer:

IrinaK [193]3 years ago

6 0

Answer:

gradient = - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y-intercept )

y = - 3x - 2 is in this form

with gradient m = - 3

You might be interested in

The tourists went in the first hour with a speed of 3.5km/h to the bus station, realizing that they would arrive 1 hour late at

mestny [16]

The answer should be 4.25km

7 0

3 years ago

3(negative 2-3x)=negative 9x-4

Andreyy89

Answer:

x = -2

Step-by-step explanation:

3(-2 - 3x) = -9x - 4 (Given)

3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)

-6 + 9x = -9x - 4 (Simplify)

-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)

-2 + 9x = -9x (Simplify)

-2 + $\frac{-9x}{-9} = \frac{-9}{-9}$ (Division Property of Equality)

-2 = x (Simplify)

x = -2 (Symmetric Property of Equality)

3 0

3 years ago

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They arrive in a random order and a

Aleonysh [2.5K]

Answer:

1/7

Step-by-step explanation:

There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7

5 0

3 years ago

Please help i dont understand what its asking

Arisa [49]

Multiply both the numerator and denominator by $2+\sqrt3$ , which is called the "conjugate" of $2-\sqrt3$ :

$\dfrac{5+\sqrt3}{2-\sqrt3}\cdot\dfrac{2+\sqrt3}{2+\sqrt3}$

Why do we pick this number? Recall the difference of squares factorization:

$a^2-b^2=(a-b)(a+b)$

Now replace $a=2$ and $b=\sqrt3$ . Then

$(2-\sqrt3)(2+\sqrt3)=2^2-(\sqrt3)^2=4-3=1$

So in your fraction, you end up with

$\dfrac{5+\sqrt3}{2-\sqrt3}=\dfrac{(5+\sqrt3)(2+\sqrt3)}1=(5+\sqrt3)(2+\sqrt3)$

Finally, just expand the product.

$(5+\sqrt3)(2+\sqrt3)=10+7\sqrt3+(\sqrt3)^2=\boxed{13+7\sqrt3}$

7 0

3 years ago

Which is equivalent to sin^-1(.75)

Neko [114]

<h2>Answer: 0.85 radians</h2>

Step-by-step explanation:

We have the following trigonometric expression:

$sin^{-1}(0.75)=arcsin(0.75)$

The result of this calculation is:

$sin^{-1}(0.75)=48.59\°$ where the angle is in degrees

If $360\°=2\pi rad$ then:

$48.59\°(\frac{2\pi rad}{360\°}=0.848 rad \approx 0.85 rad$

Therefore the answer is 0.85 radians

3 0

3 years ago