Simplify xz^3 x 4x^4z^4

Mathematics

1 answer:

beks73 [17]3 years ago

6 0

Answer:

4x^5z^7

Step-by-step explanation:

Multiply the whole numbers and add the exponents with the same base.

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A plumber uses the expression 48 + 25h to determine the number of dollars to change each customer. If H = 4 how much does the cu

Oliga [24]

If H = 4, we simply plug 4 into the position of h in the expression.

48 + 25 * 4

48 + 100

148

The customer pays $148

5 0

4 years ago

Read 2 more answers

Please help I don’t understand

Kryger [21]

<h3>Answer: A) 35</h3>

===================================================

Short Explanation:

Subtract the arcs and divide by 2 like so

angle 1 = (longerArc - shorterArc)/2

angle 1 = (100 - 30)/2

angle 1 = 70/2

angle 1 = 35 degrees

---------------------------

Longer explanation:

Refer to the diagram below. I have replaced the 100 and 30 degree arcs with A and B respectively. I've also added in the arc measures of y and z.

Note how the smaller circle arc pieces A, B, y and z all form a complete full circle. So those values add to 360. We get A+B+y+z = 360. We'll use this later.

In the diagram, I've also drawn a blue segment to form a triangle. The angle x we want to find has replaced angle 1. The angles (y+B)/2 and (z+B)/2 are found through the inscribed angle theorem.

Focus on the triangle. The three angles of any triangle always add to 180, so,

(z+B)/2 + (y+B)/2 + x = 180

we can multiply both sides by 2 and we end up with

z+B + y+B + 2x = 360

z+y+2B + 2x = 360

Since we have 360 on the right hand side of this equation, and the equation A+B+y+z = 360, this means that the left sides of each equation are the same.

We can then say the following

z+y+2B + 2x = A+B+y+z

2B+2x = A+B

2x = A+B-2B

2x = A-B

x = (A-B)/2

This is the formula used in the "short explanation" section above. In this case, A = 100 and B = 30, so

x = (A-B)/2

x = (100-30)/2

x = 70/2

x = 35

The measure of angle 1 is 35 degrees.