Another name for the natural numbers is _____.A.the whole numbers
B.the counting numbers
C.the integers
D.the rational numbers

Answers

Answer 1
Answer: B.the counting numbers

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What are the solutions to the quadratic equation 4x2 = 64? A. x = −16 and x = 16 B.x = −8 and x = 8 C.x = −4 and x = 4 D.x = −2 and x = 2
Prove: BC|| ADplz hurry

Find the value of each variable and show which property is used.

Answers

7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6

Y=3

3x+2=23
3x =21
x= 7

7(3) -2= 5(3)+4
19=19
x=19

3(7)+2=23
23= 23
Y=23

Adding and subtracting property


4x – 4 – 3x > 13 – 7x – 1 + 8

Answers

If you would like to solve the inequation 4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8, you can do this using the following steps:

4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8
4 * x - 3 * x + 7 * x > 4 + 13 - 1 + 8
8 * x > 24      /8
x > 24/8
x > 3

The correct result would be x > 3.

How to graph y=-4x+2​

Answers

Since the graph is linear, just find 3 points
(0,2), (1,-2), (-1,6)
And graph the points than draw a line to connect them

A can of soup has a volume of 12 fluid ounces. About how many milliters is this?

Answers

Answer=About 355milliliters

1fluid oz=29.6 milliliters

12fluid oz=29.6*12
12fluid oz=355.2milliliters
So about 355 milliliters

One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown belowWhich option below best describes the maximums of these two functions?

Functions g and h have the same maximum of -2.
Functions g and h have the same maximum of 2.
Function h has the greater maximum of -2.
Function g has the greater maximum of 2.

Answers

We are comparing maxima.  From the graph we know that the max of one graph is +2 at  x = -2.  What about the other graph?  Need to find the vertex to find the max.

Complete the square of h(x) = -x^2 + 4x - 2:

h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4)       -2+4
= -(x-2)^2 + 2            The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.

The 2 graphs have the same max, one at x = -2 and one at x = + 2.

Answer:

Functions g and h have the same maximum of 2.

Step-by-step explanation:

Please help me!!
3. Determine whether or not AB is tangent to circle O. Show your work.​

Answers

The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

How are radius and tangent to a circle related?

There is a theorem in mathematics that:

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.

So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.

Assuming AB is tangent, then ABO is right angled we should get:

H^2 = P^2 + B^2\n30^2 = 16^2 +  12^2\n900 =  256 + 144\n900= 500

This statement is false, and therefore, so as our assumption is false that ABis tangent to circle O. Thus, AB is not tangent to circle O.

(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)

Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

Learn more about tangent to a circle here:

brainly.com/question/7942024

Answer:

not tangent

Step-by-step explanation:

two reasons, first

Triangle AOB is not a right triangle

line AB intersects the circle O at two points.