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____ [38]
3 years ago
15

A student was given the equation x^2+2x-16=0 to solve by completing the square. The first step that was written is shown below.

——> X^2 + 2x=16<—— The next step in the student’s process was x^2 +2x+c =16+c. State the value of c that creates a perfect square trinomial.
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

Answer:

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

Step-by-step explanation:

Quadratic Equation Given:

x^2+2x-16=0

x^2 + 2x=16

$c=\left( \frac{b}{2} \right)^2 $

x^2 + 2x+1=16+1

(x+1)^2=17\\

x+1=\pm \sqrt{17} \\

x=-1 \pm \sqrt{17} \\

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

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Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)
zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

8 0
2 years ago
(HELP FAST )What is the solution to this system of equations? *
Phantasy [73]

Answer:

(1,3) should be the answer due to the fact that both lines intersect at that point.

Step-by-step explanation:

8 0
2 years ago
If standard deviation of a given data is 5 and mean is 50 then coefficient of variation (C.V) is equal to *
torisob [31]

Answer:

10

Step-by-step explanation:

Coefficient of variation is a measure of dispersion, showing the variability of data in relation to the mean.

The Coefficient of variation compares the degree of variation between data points. The coefficient of variation is the ratio of mean to standard deviation. It is given by the formula:

Coefficient of variation = mean / standard deviation

Coefficient of variation = 50 / 5

Coefficient of variation = 10

4 0
3 years ago
Which equation represents the line that passes through (-6, 7) and (-3, 6)
Tju [1.3M]
Plug the given x and y values (x, y) into the equations and solve
It look like the second equation is the answer.
6 =  -  \frac{1}{3} ( - 3) + 5 \\ 6 = 1 + 5 \\ true
4 0
3 years ago
Read 2 more answers
A car costs $9,000. If Mr.Smith has saved 20% of this amount, how much did he save?
olga2289 [7]

Answer:

the answer for your question would be 1800

Step-by-step explanation:

you multiply 9000 times by .20

5 0
3 years ago
Read 2 more answers
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