which statement about christophers performance is correct

Answer:

[tex]\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}[/tex]

[tex]x = \frac{3+-7}{4}[/tex]

Hope this helps and God bless!

The number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is the n!.Here, n is the number of objects.

A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter.

[tex]\text{Each code=Two latter + One digit}[/tex]

The first letter is chosen from the 23 letters in 23 number of ways. As letters can be repeated, thus second letter chosen from 23 letters in 23 ways.

One digit can be chosen from the 9 digits in 9 different ways. The last letter can also be chosen in 23 ways. Thus, the number of times employee ID codes can be generated is,

[tex]n=23\times23\times9\times23\\n=109503[/tex]

Thus, the number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.

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Answer: D

Step-by-step explanation: The others dont have A m or an s

Answer:

$17.28

Step-by-step explanation:

20% of $86.40

= [tex]\frac{20}{100}[/tex] × $86.40

= 0.2 × $86.40

= $17.28 ← commission

Answer: X= 306/19

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Reduce the admission fee. Then divide the rest with cost per game

35 - 8 = 27

=> 27/3 = 9

i just want the points but if i do some math based off of the question i think its C

Answer:

2 for A, 1 for B

The tiny floating two means multiply the number by itself, so;

[tex]2 * 2 = 4[/tex]

[tex]1 * 1 = 1[/tex]

Add the two together.

[tex]4 + 1 = 5[/tex]

Answer:

19sides if sum is 3060

38sides if sum is 6480

Answer:

Step-by-step explanation:

Could you update the question? It is not clear enough

Answer:

Step-by-step explanation:

Answer:

1109.8 square feet

Step-by-step explanation:

In this case, assume the leash to be the radius of the circular yard.

Area

Answer:

k = 13

Step-by-step explanation:

substitute x = x + 5 into f(x) , that is

f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL

          = x² + 10x + 25 + 3x + 15 - 10

         = x² + 13x + 30

compare this with f(x + 5) = x² + kx + 30

for the 2 expressions to be equal , then k = 13

Answer:

Are of a Circle = pie x radius squared

Step-by-step explanation:

A = 3.14*2squared

A = 3.14*4

A = 12.56

Answer: second option

Step-by-step explanation: Mary's age plus X = 70

63.5 + X = 70

Subtract 63.5 from both sides

X = 70 -63.5

Answer 6.5

Answer: i need time to work on this but i think its 3,3

Step-by-step explanation:

Answer:

Square Root of 10: (3, 4) and (2,1)

(-4,-2) and (-3, 1)  (-2, 3) and (1,2)

Square Root of 29: (3,7) and (5,2)

(5, -2) and (3,3)  (4,-1) and (-1,1)

Answer:

Step-by-step explanation:

Formula_____________

Area of a parallelogram = base × height

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

Area of the parallelogram = base × height

⇔

36 = base × 3

⇔

base = 36/3

        = 12

Answer:

x is 25˚

Step-by-step explanation:

Answer:

25 = x

Step-by-step explanation:

Since both angles are vertical angles, they are eqaul to each other and hence we can conclude that;

132° = (5x + 7)°

132 - 7 = 5x

125 = 5x

125/5 = x

25 = x

Hope this helps!

Answer:

Part A)

0.47/1=0.47x100/1x100=47/100\

Part B)

0.47=47/99

Part C)

0.47=47/99

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

this is what I got for the first problem

Part A, 2√5)

5=2.2360679775 5=2x2.2360679775=4.472135955=4.47

Part A, √8)

2 3

V4 8 v9

2 4/5

Part A, √3)

1 2

V1 3 v4

1 2/3 Part A, √27)

5 6

V25 27 v39

5 2/14

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

Part B)

1 2/3 2 3/5 4.47 5 2/14

and this is what I got for the second problem

Step-by-step explanation:

Hope tis helps

Answer:

2^4ab

Step-by-step explanation:

By factorizing 48ab^2 I get 2*2*2*2*3*a*b*b

By factorizing 32a^2b I get 2*2*2*2*2*a*a*b

All the factors that these have in common is 4 2's, one a, and one b, which is 2^4*ab, or 16ab.

Answer:

5x +35

Step-by-step explanation:

you woul use the distrubitive property

so multiply  by x and and 7

so it becomes 5x +35

Answer:

The number inside radical is 29

Step-by-step explanation:

Given:

To find:

Distance Formula:

[tex]\displaystyle \large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Determine (x2,y2) = (1,1) and (x1,y1) = (3,-4). Therefore:

[tex]\displaystyle \large{\sqrt{(1-3)^2+(1-(-4))^2}}\\\displaystyle \large{\sqrt{(-2)^2+(1+4)^2}}\\\displaystyle \large{\sqrt{4+5^2}}\\\displaystyle \large{\sqrt{4+25}}\\\displaystyle \large{\therefore \sqrt{29}}[/tex]

Therefore, the number inside the radical is 29

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Hi there!

We are given the points (1, 1) and (3, -4)

We want to find the distance between the points

Distance can be found using the formula [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We can label the values of the points first, before calculating to help avoid confusion and mistakes.

[tex]x_1 = 1\\y_1 = 1\\x_2 = 3 \\y_2 = -4[/tex]

Now substitute these values into the formula

d = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

d = [tex]\sqrt{(3-1)^2 + (-4-1)^2}[/tex]

Now, using order of operations, first simplify what is in the parentheses:

d = [tex]\sqrt{(2)^2 + (-5)^2}[/tex]

Now raise 2 and -5 to the second power.

d = [tex]\sqrt{4 + 25}[/tex]

Add the numbers together under the radical

d = [tex]\sqrt{29}[/tex]

The distance is [tex]\sqrt{29}[/tex]

Hope this helps!

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The measure of each arc is 30.

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.

We know that,

Chord Arcs Theorem :-

If two chords in a circle are congruent, then their intercepted arcs are congruent.

2x+20 = 4x+10

2x = 10

x = 5

Therefore,

2(5) + 20 = 30

Hence, the measure of each arc is 30.

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Answer:

Midpoint (-1,7)

Step-by-step explanation:

To find a midpoint, average the x's and then average the y's (add and divide by 2)

The x-coordinate of the midpoint is: (-4+2)/2

= -2/2

= -1

and the y-coordinate is:

(4+10)/2

= 14/2

= 7

So the midpoint is:

(-1,7)

Answer:

(-1, 7)

Step-by-step explanation:

Midpoint of a line segment

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(-4,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,10)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)[/tex]

Answer:

it would take them 4 days to build the house

Answer:

x = 150

y = 30

Step-by-step explanation:

x° = 5y° (corresponding angles) (1)

x° + y° = 180° (Linear pair angles) (2)

From equations (1) and (2), we find:

5y° + y° = 180°

-> 6y° = 180°

-> y° = 180°/6

-> y° = 30°

-> y= 30

-> x° = 5(30°) = 150° (From equation 1)

-> x = 150

Answer:

2184 ways because that's how math works

Step-by-step explanation:

14 × 13 × 12

Answer:

J

Step 1. Find slope

(-1 - 3)/(2 + 2)

-4/4

m = -1

Step 2. Write equation

y - 3 = -1 (x + 2)

y = -x -2 + 3

y = -x + 1

Answer:

Step-by-step explanation:

First find the slope:

[tex]\frac{-4}{4} =-1[/tex]

This immediately rules out all answers but J.