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LUCKY_DIMON [66]
3 years ago
11

What is the value if 3^0

Mathematics
1 answer:
stira [4]3 years ago
8 0

3^0 if zero is an exponent then the answer would be 1.


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Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre
Morgarella [4.7K]
When two lines intersect, four angles are formed. Each opposite pair are called vertical angles and are always congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.

Properties of vertical angles includes:
i.) <span><span><span /><span>Vertical angles are always congruent, or of equal measure. </span></span><span>
ii.) <span>Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°).</span> </span> <span>

Properties of linear pair includes:<span>
i.) Each pair of linear angles are supplementary (add to 180°).</span></span><span /></span>
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3 years ago
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What can be used as a reason in a two-column proof?
erik [133]
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. The reason column will typically include "given", vocabulary definitions, and theorems.

Therefore, w<span>hat can be used as a reason in a two-column proof are:

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3 years ago
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Graph the line and the parabola and find the points of intersection: y= 3-x ; y=x(squared)+x-12
melomori [17]

Answer:

Step-by-step explanation:

We have to graph a line y = 3 - x which has the slope = -1 and y intercept 3.

We will select two points where line intersects at x = 0 and y = 0

The given line will intersect x-axis at (3, 0) and at y- axis (0, 3).

Joining these two points we can draw a straight line showing y = -x + 3

Now we will draw the parabola given by equation y = x² + x - 12

We will convert this equation in vertex form first to get the vertex and line of symmetry.

Standard equation of a parabola in vertex form is

y = (x - h)² + k

Where (h, k) is the vertex and x = h is the line of symmetry.

y = x² + x - 12

y = x² + 2(0.5)x + (0.5)²- (0.5)²-12

y = (x + 0.5)² - 12.25

Therefore, vertex will be (-0.5, -12.25) and line of symmetry will be x = 0.5

For x intercept,

0 = (x + 0.5)² - 12.25

x + 0.5 = ±√12.25

x = -0.5 ± 3.5

x = -4, 3

For y- intercept,

y = (0+0.5)² - 12.25

 = 0.25 - 12.25

y = -12

So the parabola has vertex (-0.5, - 12.25), line of symmetry x = 0.5, x intercept (4, 0), (and y-intercept (0, -12).

Now we have to find the points of intersection of the given line and parabola.

For this we will replace the values of y

3 - x = x² + x - 12

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x - 3)(x + 5) = 0

x = 3, -5

For x = 3

y = 3- 3 = 0

For x = -5

y = 3 + 5 = 8

Therefore, points of intersection will be (3, 0) and (-5, 8)

 

4 0
3 years ago
12(3+1) is what add the numbers inside and get the answer then multiply 12 with the answer
Lubov Fominskaja [6]
12(3+1)
12(4)

The number 12 times the number 4 is 48
3 0
3 years ago
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Rewrite the equation of the parabola in vertex form.
aleksandrvk [35]
The answer would be y=(x+4)^2-37
5 0
2 years ago
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