Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
Answer:
TQ = 10
Step-by-step explanation:
The diagonal divides the square into 2 right triangles with the diagonal being the hypotenuse.
Using Pythagoras' identity in triangle TPQ
TQ² = PQ² + PT²
TQ² = 10² + 10² = 100 + 100 = 200 ( take square root of both sides )
TQ =
=
=
×
= 10
Answer: Second option
Step-by-step explanation:
You need to make the multiplication of the function
and the function
. Then:

You need to apply the Distributive property:

Therefore, the domain will be all the number that make the denominator equal to zero.
Then, make the denominator equal to zero and solve for x:

Therefore, the domain is: All real values of x except 
Answer: Third red dot after 30 on the number line represents the approximate volume of a cone.
Step-by-step explanation:
Since we have have given that
Radius of cone = 3 units
Height of cone = 4 units
So, Volume of cone is given by

Hence, Third red dot after 30 on the number line represents the approximate volume of a cone.
The answer would be Acute angles