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Rainbow [258]
3 years ago
7

-Mutpliy -combine like terms -put awnser into form of a trinomial

Mathematics
2 answers:
max2010maxim [7]3 years ago
8 0
The person above me seems very smart and deserves brainliest .
Sloan [31]3 years ago
6 0
Answer:

Explanation:

1.
(x + 6)(x + 4)
= x^2 + 4x + 6x + 24
= x^2 + 10x + 24

2.
(y - 9)(y+2)
= y^2 + 2y - 9y - 18
= y^2 - 7y - 18

3.
(m + 7)(m - 5)
= m^2 - 5m + 7m - 35
= m^2 + 2m - 35

4.
(2x + 3)(4x + 1)
= 8x^2 + 2x + 12x + 3
= 8x^2 + 14x + 3

5.
(4y - 5)(y + 4)
= 4y^2 + 16y - 5y - 20
= 4y^2 + 11y - 20
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3. Jessica is awake 2/3 of the day. She spends 5/8 of this time at home
ruslelena [56]

Answer:  a. 5/12     b. 10 hours

Step-by-step explanation:

5/8 x 2/3 = 10/24 = 5/12

she spends 5/12 of the day awake at home

if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10

so she spends 10 hours awake at home

7 0
3 years ago
Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)
masha68 [24]
\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad\qquad 
sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad  1+tan^2(\theta)=sec^2(\theta)\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}
\qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\
-------------------------------\\\\
cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)\\\\
-------------------------------\\\\

\bf \textit{so, let's do the left-hand-side}\\\\
cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)]
\\\\\\
cot(x)[1^2+2tan^2(x)+tan^4(x)]
\\\\\\
cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x)
\\\\\\
cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)}
\\\\\\
cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}
8 0
3 years ago
Please someone answer this from me I’m so stressed
Natalija [7]
Search it up on google put the title :)
3 0
3 years ago
Write an expression for the next 3 even numbers that are greater than P
Alisiya [41]
Every even number is 2 away from the last.
0, 2, 4, 6, 8, 10, 12, 14...etc.

If we had an even number p, then the next three even numbers would be
p+2, p+4, and p+6.

<em>(If we had an odd number p, then the next three even numbers would be</em>
<em>p+1, p+3, and p+5. I'm not sure if p is even is implied in the question. Technically the answer would be p - p mod 2 + 2, where p is an interger...that gets into more technical function stuff, though.)</em>
5 0
3 years ago
Read 2 more answers
Why does 843,000 round to 840,000 rather than 850,000 when rounded to the nearest ten thousand
Serjik [45]
Because 843,000 is closer to 840,000 than 850,000
5 0
3 years ago
Read 2 more answers
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