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Wewaii [24]
3 years ago
14

Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

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When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pa
Liono4ka [1.6K]

Answer:

His book was opened at Page no.296 and Page no.297

Step-by-step explanation:

Let the page number of one page be x

Page number of page facing page no. x = x+1

We are given that the product of the facing pages was 87,912.

So, x(x+1)=87912

x^2+x=87912

x^2+x-87912=0

x^2-296x+297x-87912=0

x(x-296)+297(x-296)=0

(x+297)(x-296)=0

x=296,-297

Since Page no. cannot be negative

So, x=296

x+1=296+1=297

So, his book was opened at Page no.296 and Page no.297

5 0
3 years ago
Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.
Alisiya [41]

The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

<h3>What are the trigonometry ratios?</h3>

For a right angle triangle, the trigonometry ratios can be given as,

\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}

Here, <em>a</em> is base side<em>, b</em> is perpendicular side and<em> c</em> is the hypotenuse side of the triangle.

In the given triangle, the length of base side<em> </em>is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.

a=8\\b=6\\c=10

Thus, the  tangent, cosine and sine ratios of angles X & Y are,

\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}

Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

Learn more about the trigonometry angles here;

brainly.com/question/20519838

#SPJ1

6 0
2 years ago
Let a, b, and c be constants, and let x be a variable. Which of the following is
Nonamiya [84]

Answer:

C

Step-by-step explanation:

We have:

a(x+b)

Where a<0.

We would like to solve for a. So, let’s divide both sides by a.

Notice that a<0. Therefore, a is negative. Hence, we must flip the sign since we are dividing by a negative. This yields:

x+b>\frac{c}{a}

Now, we will subtract b from both sides. Therefore, our inequality is:

x>\frac{c}{a}-b

Hence, our answer is C.

5 0
3 years ago
Find the vertex of an angle of an isosceles triangle if one base angle is 8 less than half the vertex?
skad [1K]
Vertex angle = x
1 base angle = 1/2x - 8

180-x = (1/2x-8)x2
180-x = x-16
196-x = x
196 = 2x
x=98

If you want explanation please ask me .
8 0
3 years ago
How can I solve 4x^2 + 12x &gt; -x -3
Damm [24]

He have the following:

4x^2+12x>-x-3​

solving:

\begin{gathered} 4x^2+12x+x+3>-x-3+x+3​ \\ 4x^2+13x+3>0 \\ \text{factoring} \\ (4x+1)(x+3)>0 \\ (4x+1)>0\rightarrow4x+1-1>-1\rightarrow\frac{4x}{4}>-\frac{1}{4}\rightarrow x>-\frac{1}{4} \\ (x+3)

5 0
1 year ago
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