Answer: x = -7
Step-by-step explanation:
2.5x+10=x-0.5
Collect like terms
2.5x-x= -0.5 -10
1.5x= -10.5
X= -10.5/1.5
X= -7
Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(-3,2) and (0,1)
The slope m is

step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)
so
The slope is

step 3
Find the equation of the line in point slope form
we have


----> equation in point slope form
Convert to slope intercept form
Answer:
A square pyramid has five faces: four triangle faces and one square face.
Step-by-step explanation:
Answer:
C = 14pi
Step-by-step explanation:
C = pi d
The radius is 7 so the diameter is
d = 2r
d = 2*7
=14
C = pi *14
C = 14pi
Answer:
a) 2x^4 + 8x^3 + x^2 + 3x
b) evaluate this polynomial at x = 10
Step-by-step explanation:
Hi!
a)
The product of a sum is the sum of the products, having said this:

b)
We can use the result from part a and consider x = 10.
First lets take the first polynomial

Knowing that every number (excepting probably 0, which could be undefined for some or 1 for others) to the power of 0 is one:

Which is the initial number
Now lets conisder the product of the polynomial times x and evaluate it at x=10:



We can now see that teh rule is treu because we can see the whole number as a sum of numbers from 0 to 9 multiplied by a power of 10, and when it is multiplied by 10, each power increases by one, and at the end, the final result is adding a zero at the end