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Sladkaya [172]
3 years ago
8

Hello someone help please what is the product of (cosA+2)(cosA-3)​

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

cos²A - cosA - 6

Step-by-step explanation:

Given

(cosA + 2)(cosA - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

cosA(cosA - 3) + 2(cosA - 3) ← distribute both parenthesis

= cos²A - 3cosA + 2cosA - 6 ← collect like terms

= cos²A - cosA - 6

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The solution of |x-2|>5
zzz [600]

Answer:

Step-by-step explanation:

|x-2|>5

x-2<-5

x<-3

or x-2>5

x>7

5 0
3 years ago
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ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right
777dan777 [17]

Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.

Explanation : Here, \triangle ABC is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.

CD measures h units, BD measures y units, DA measures x units.

Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c,  segment CD = h,  segment DB = y, segment AD = x,

y + x = c

a/c=y/a( Similarity theorem in triangles ABC and DBC )

a^2 = cy------(1) (Cross Product Property)

Similarly, b^2 = cx (Similarity theorem in triangles ABC and ADC)---------(2)

a^2 + b^2 = cy + cx(after adding equation (1) and (2) )

a^2 + b^2 = c(y + x)( By additional property of equality)

a^2 + b^2 = c^2. ( because y + x=c)

Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.

8 0
3 years ago
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Solve the compound inequality. Graph your solution. 2x – 2 &lt; –12 or 2x + 3 &gt; 7 x &lt; –5 or x &gt; 5 x &lt; –5 or x &gt; 2
Brilliant_brown [7]

Answer:

The solution region is x < –5 and x > 2

Step-by-step explanation:

We are given the inequalities, 2x–2 < –12 or 2x+3 > 7

Upon simplifying the inequalities, we get,

A. 2x-2 < -12

2x-2 < -12 i.e. 2x < -10 i.e. x < -5

B.  2x+3 > 7

2x+3 > 7 i.e. 2x > 4 i.e. x > 2

So, we get the solution is x or x>2 and the plotted region can be seen below.

4 0
3 years ago
Pls helpppppp for brainly
Varvara68 [4.7K]

Answer:

\frac{6}{8} or \frac{3}{4}

Step-by-step explanation:

Convert the mixed numbers into improper fractions.

2\frac{3}{8}-1\frac{5}{8}=\frac{19}{8}-\frac{13}{8}

Since the two fractions have the same denominator, just subtract the numerators.

\frac{19}{8}-\frac{13}{8}=\frac{6}{8}

If required, rewrite the fraction in simplest form.

\frac{6}{8}=\frac{3}{4}

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3 years ago
. Kyle is 24 years older than his daughter Hannah. Kyle is 48 years old. How old is Hannah?
stealth61 [152]

Answer:

Hannah is 24years of age

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2 years ago
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