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3 years ago

Am I correct? (Perfect Square Form)

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

Answer:

$(x -3 )^2 = 10$

Step-by-step explanation:

Given

$x^2 - 6x - 1 = 0$

Required: Express as a perfect square

$x^2 - 6x - 1 = 0$

Add 10 to both sides

$x^2 - 6x - 1 +10= 0+10$

$x^2 - 6x +9= 10$

Expand

$x^2 - 3x - 3x+9= 10$

Factorize:

$x(x - 3) - 3(x - 3)= 10$

Factorize:

$(x -3 )(x - 3) = 10$

$(x -3 )^2 = 10$

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Find AC <br> What Is The Equation To AC?

In-s [12.5K]

<u>Given</u>:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

<u>Length of AC:</u>

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Where the value of $\theta$ is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

$cos \ 65^{\circ}=\frac{AC}{AB}$

Substituting AB = 7, we have;

$cos \ 65^{\circ}=\frac{AC}{7}$

Multiplying both sides by 7, we get;

$cos \ 65^{\circ} \times 7=AC$

$0.423 \times 7=AC$

$2.961=AC$

Rounding off to the nearest hundredth, we get;

$2.96=AC$

Thus, the length of AC is 2.96 units.

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3 years ago

Aimee has $10.00 to spend on school supplies. The following shows the price of each item in the school store. No sales tax is ch

Rainbow [258]

Answer:

17. yes - 9.95

18. yes - 9.45

19. no - 10.01

20. no 10.01

21. yes 9.86

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2 years ago

Mike has 3 1/2 ounces of sugar to put in his coffee. If he actually only puts in 1 5/9 ounces of sugar, about how much sugar doe

elena55 [62]

Answer:

I think it might be 1 17/18

(not sure)

Step-by-step explanation:

what I did was break down 3 1/2 and I got 2 3/2 I then Subtracted that by 1 5/9 (I don't know if it's right sorry if I'm wrong)

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2 years ago

Read 2 more answers

Find the value of each expression<br><br> 3[ (20 - 4) / 2]<br><br> 5(9) / (8 / 4)

storchak [24]

3 [ (20-4) / 2 ]= 3 * 16/2= 3 x 8 =24

5,(9)=5 9/9= 54/9=6

6/8/4= 6/2=3

4 0

3 years ago

Read 2 more answers

If DF=78, DE=5x-9, and EF=2x+10, find DE.

Kazeer [188]

Given that E is a point between Point D and F, the numerical value of segment DE is 46.

<h3>What is the numerical value of DE?</h3>

Given the data in the question;

E is a point between point D and F.
Segment DF = 78
Segment DE = 5x - 9
Segment EF = 2x + 10
Numerical value of DE = ?

Since E is a point between point D and F.

Segment DF = Segment DE + Segment EF

78 = 5x - 9 + 2x + 10

78 = 7x + 1

7x = 78 - 1

7x = 77

x = 77/7

x = 11

Hence,

Segment DE = 5x - 9

Segment DE = 5(11) - 9

Segment DE = 55 - 9

Segment DE = 46

Given that E is a point between Point D and F, the numerical value of segment DE is 46.

Learn more about equations here: brainly.com/question/14686792

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1 year ago