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Bingel [31]
3 years ago
7

{ }^{2} b {}^{2} - 7ab - 30" alt="2a { }^{2} b {}^{2} - 7ab - 30" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

(ab - 6)(2ab + 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2a²b² - 7ab - 30

Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term

product = 2 × - 30 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the ab- term

= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )

= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term

= (ab - 6)(2ab + 5) ← in factored form

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Best answer gets brainliest​
Luden [163]
K= -3

3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6
3 0
3 years ago
Which of the following options is a better purchase for a bicycle? Option 1: A cash sale for $88
stellarik [79]

<u><em>Answer:</em></u>

Option 3

<u><em>Explanation:</em></u>

<u>To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:</u>

<u>i- Option 1:</u>

Total cost = $88

<u>ii- Option 2:</u>

$5 down payment and $8 per week for 10 weeks

Total cost = 5 + 8(10) = 5 + 80 = $85

<u>iii- Option 3:</u>

$12 down payment and $5 per month for 12 months

Total cost = 12 + 5(12) = 12 + 60 = $72

<u>iv- Option 4:</u>

$20 down payment and $20 per month for 12 months

Total cost = 20 + 20(12) = 20 + 240 = $260

<u>Now, from the above calculations, we can conclude that:</u>

The best price would be that of option 3 ($72). It is the lowest price compared to other option.

Hope this helps :)

3 0
3 years ago
Read 2 more answers
How to find the number of sides of a polygon when given the interior angle sum
wariber [46]

Given:

Sum of interior angle

To find:

Number of sides of a polygon

Solution:

Using sum of interior angles formula:

$S=(n-2) \times 180^{\circ}

where "S" is the sum of interior angels and "n" is the number of sides of a polygon.

Divide by 180° on both sides.

$\frac{S}{180^{\circ}}=\frac{(n-2) \times 180^{\circ}}{180^{\circ}}

Cancel common factor 180°.

$\frac{S}{180^{\circ}}=n-2

Add 2 on both sides.

$\frac{S}{180^{\circ}}+2=n-2+2

$\frac{S}{180^{\circ}}+2=n

Switch the sides.

$n=\frac{sum}{180^{\circ}}+2

Therefore number of sides of a polygon is n=\frac{sum}{180^{\circ}}+2.

3 0
4 years ago
What is the value of 3 3/8 +1/2÷4/5x2 (Please help...i will make BRAINLIEST)
Agata [3.3K]

Answer:

4 5/8

Step-by-step explanation:

4.625

3 0
3 years ago
Read 2 more answers
Can someone double check my work for this problem? I got 38°??
scoundrel [369]
We need to use Law of sine.

sin A/a = sin C/c
sin A/|CB| = sin C/|AB|

sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20

A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
4 0
3 years ago
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