Answer:
The value of m is
.
Step-by-step explanation:
If two vectors
and
are perpendicular to each other then their dot product will be zero i.e 
If two vectors
and
are parallel to each other then their cross product will be zero i.e 
Given vectors are a= (3,4) and b=(m,2)
The position vector of
is =
The position vector of
is =
Since
and
are perpendicular.
Then,


⇒3.m +4.2=0
⇒3m+8=0
⇒3m= -8

The value of m is
.
Answer:
A. -7
Step-by-step explanation:
The y-intercept of a line is where the line <em>intercepts</em> the y-axis. The y-intercept is shown, in point form, (0,y), y being where the line intercepts the y-axis.
A rational number that is between 5 and 6 on the number line is 11/2.
An irrational number that is between 5 and 6 on the number line
.
<h3>
What is rational number?</h3>
- Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers is a rational number
- In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers.
- A numerator p and a non-zero denominator.
- For example, is a rational number just like any integer (e.g. 5 = the set of all rational numbers, also called "rational numbers", the field of rational numbers, or the field of rational numbers is usually , printed in bold
- Rational numbers are real numbers.
- This statement is not unique: not only in base 10, but also in other integer bases such as binary and hexadecimal (see Decimal repetition § Extensions to other bases).
To learn more about rational number from the given link:
brainly.com/question/24398433
#SPJ13
Answer:
36 in
Step-by-step explanation:
The ratio of proportionality between the two similar triangles is 1:6, which you can find by dividing the corresponding side length measures from each triangle (3/18 = 4/24). Then you can set up a proportion:
1/6 = 6/x, which you can solve to get x = 36
Answer:
(√2)x units
Step-by-step explanation:
x is one leg of another isosceles right triangle whose hypotenuse is the leg of interest. The hypotenuse of an isosceles right triangle is √2 times the leg length, so the leg of the large triangle is ...
(√2)x . . . . units