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3 years ago

Which equation of a circle represents the graph?

Mathematics

1 answer:

creativ13 [48]3 years ago

5 0

Equation of the circle centered on the origin is x²+y²=r²
r=5

x²+y²=5²
x² + y² = 25 ← answer

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If s(x)=x-7 and t(x)=4x^2-x+3 which expression is equivalent to (txs)(x)?

gogolik [260]

For this case we have by definition that:

$(f * g) (x) = f (x) * g (x)$

In this case we must find $(t * s) (x),$ so:

( $(t * s) (x) = t (x) * s (x) = (4x ^ 2-x + 3) * (x-7) =$

We must apply distributive property that states that:

$(a + b) (c + d) = ac + ad + bc + bd$

So:

$(4x ^ 2-x + 3) * (x-7) = 4x ^ 3-28x ^ 2-x ^ 2 + 7x + 3x-21 = 4x ^ 3-29x ^ 2 + 10x-21$

Answer:

$4x^3-29x^2+10x-21$

7 0

4 years ago

(x-3)(x-8)=0 apply the zero product property

SashulF [63]

Answer:

x=3

x=8

Step-by-step explanation:

The "Zero Product Property" says:

If (x−3)(x−8) = 0 then (x−3) = 0 or (x−8) = 0

Now we just solve each of those:

For (x−3) = 0 we get x = 3

For (x−8) = 0 we get x = 8

And the solutions are:

x = 3, or x = 8

8 0

3 years ago

Find the slope through each pair of two points. Report answers in simplest form.

yanalaym [24]

Answer:

m=0

Step-by-step explanation:

A general rule to remember is "rise over run" or m= $\frac{y_{2} -y_1}{x_2-x_1}$

To find the slope between these two pairs of points:

1. Choose one pair of points to be X1 and Y1 (it doesn't matter which)

In this case, let's use (-11,3) so X1 =-11 and Y1= 3

2. The second pair will be (14,3) so X2 = 14 and Y2=3

3. Applying the equation above: $\frac{y_{2} -y_1}{x_2-x_1}$

It becomes: m= $\frac{3-3}{14-(-11)}$

m = $\frac{0}{25}$

m = 0

4 0

3 years ago

Identify the exponential function graphed below which of the following is the equation for this graph?

rjkz [21]

The answer is D

Explanation:
The -2 on the X is reversed so it becomes +2 on the x-axis

The +2 at the end of the equation makes the graph go up 2

4 0

4 years ago

Read 2 more answers

25% of what number is 329? Round to one decimal place.

natka813 [3]

Answer:

<h3>The number is 1316</h3>

Step-by-step explanation:

Let the unknown number be x

$25\% \times x = 329\\\\\frac{25}{100} \times x =329\\\\\frac{25x}{100} =329\\\\Cross\:Multiply\\25x = 32900\\\\Divide\:both\:sides\:by\:25\\\\\frac{25x}{25} =\frac{32900}{25} \\\\x =1316$

5 0

3 years ago