All categories

3 years ago

Find all numbers such that three times the number is greater than eight less than the number.

Mathematics

1 answer:

klio [65]3 years ago

6 0

Answer:

ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

Step-by-step explanation:

Here, assume such number = m

Now, given :

3 times the number = 3 x ( m) = 3 m

8 less than the given number = m - 8

Now, according to the question:

3 times the number > 8 less than the given number

or, 3 m > m - 8

or, 3m - m > m - 8 + m

or, 2 m > - 8

or, m > - 4

Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

You might be interested in

Given |u| = 2.5, |v| = 3.2, and the angle between the vectors is 60°, find the value of u · v?

Alenkasestr [34]

Step-by-step explanation:

u.v=|u||v|cos60°

u.v=(2.5)(3.2)(1/2)

u.v=(8)(1/2)

u.v=4

4 0

4 years ago

Write the equation of a line with an undefined slope and point (1, 7).

Sonja [21]

Answer:

The equation of straight line is x = 1

Step-by-step explanation:

Step :-

The equation of straight line having slope 'm' and passing through the point

$(x_{1} ,y_{1} )$ is $y-y_{1} = m (x-x_{1} )$

Slope of horizontal line(that is x-axis) is m = 0

slope of vertical line (that is y-axis) is m is not defined

The equation of straight line having slope is not defined and passing through the point (1,7).

$y-7 = \frac{1}{0} (x-1)$

cross multiplication we will get equation

$(y-7)(0)=1(x-1)$

x-1 = 0

The equation of straight line is x = 1

4 0

3 years ago

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

mixer [17]

Notice the picture below

x = 1 and y = -1

now... recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}$

now.. what's the value for "r" or the radius? well, using the pythagorean theorem $\bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad 
\begin{cases}
a=x\\
b=y\\
c=r
\end{cases}$