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3 years ago

Calculate the slope of the line which passes through the points (8,7) and (11, 3)

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

negative 1 1/3

Step-by-step explanation:

you do y2 minus y1 over x2 minus x1 then you simplify.

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20x^{2} +124x+24[/tex]

vova2212 [387]

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

$20x^{2} +124x+24$

To find:

solve the given problem

Solution:

$\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\$

Therefore, the final answer is " $\bold{4((x+6)(5x+1))}$ ".

Learn more:

brainly.com/question/10755001

8 0

2 years ago

Ajax is allowed to watch 2 hours of television on Saturday. Each episode of his favorite show lasts 30 minutes. How many episode

Lesechka [4]

Answer:

2 hours Total

30 minutes Each

1. 2 hours * 60 minutes (per hour)

2 * 60 = 120 (total minutes allowed)

2. 120 (total) / 30 (each)

= 120 / 30 = 4 (number of shows

ANSWER: 4

Step-by-step explanation:

5 0

3 years ago

In arithmetic sequence tn find: S10, if t2=5 and t8=15

makkiz [27]

Given:

$\bold{t_2=5}\\\\\bold{t_8=15}\\\\$

To find:

$\bold{T_n=?}\\\\\bold{S_{10}=?}$

Solution:

$\to \bold{t_2=5}\\\\ \bold{a+d=5} \\\\ \bold{a=5-d} ................(i)\\\\ \to \bold{t_8=15}\\\\ \bold{a+ 7d=15}.................(ii)\\\\$

Putting the equation (i) value into equation (ii):

$\to \bold{5-d+7d=15}\\\\\to \bold{5+6d=15}\\\\\to \bold{6d=15-5}\\\\\to \bold{6d=10}\\\\\to \bold{d=\frac{10}{6}}\\\\\to \bold{d=\frac{5}{3}}\\\\$

Putting the value of (d) into equation (i):

$\to \bold{a=5-\frac{5}{3}}\\\\\to \bold{a=\frac{15-5}{3}}\\\\\to \bold{a=\frac{10}{3}}\\\\$

Calculating the $\bold{t_n :}$

$\to \bold{t_n=a+(n-1)d}\\\\\to \bold{t_n=\frac{10}{3}+(n-1)\frac{5}{3}}\\\\\to \bold{t_n=\frac{10}{3}+\frac{5}{3}n-\frac{5}{3}}\\\\\to \bold{t_n=\frac{10}{3}-\frac{5}{3} +\frac{5}{3}n}\\\\\to \bold{t_n=\frac{10-5}{3} +\frac{5}{3}n}\\\\\to \bold{t_n=\frac{5}{3} +\frac{5}{3}n}\\\\ \to \bold{t_n=\frac{5}{3}(1+n)}\\\\$

Formula:

$\bold{S_n = \frac{n}{2}[2a + (n - 1)d ] }\\$

Calculating the $\bold{S_{10}} :$

$\to \bold{S_{10} = \frac{10}{2}[2\frac{10}{3} + (10- 1)\frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + (9)\frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 9 \times \frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 3\times 5 ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 15 ] }\\\\\to \bold{S_{10} = 5[\frac{20+ 45}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{65}{3} ] }\\\\\to \bold{S_{10} = 5 \times \frac{65}{3} }\\\\\to \bold{S_{10} = \frac{325}{3} }\\\\\to \bold{S_{10} =108.33 }$

Therefore, the final answer is " $\bold{\frac{5}{3}(1+n)\ and\ 108.33}$ "

Learn more:

brainly.com/question/11853909

7 0

2 years ago

Find 2p^2+3p-4 less 2p^2-3p+4

ad-work [718]

The answer that I got was 10

6 0

2 years ago

Katy chose a card at random from a deck of 52 cards. Katy replaced the first card and then chose a second card. What is the prob

Alisiya [41]

52 total cards....13 total diamonds in the deck

P(1st card picked being a diamond) = 13/52
replacing the card, so the sample space remains the same
P(2nd card being a diamond) = 13/52

P(both) = 13/52 * 13/52 = 169/2704 = 1/16 <==

5 0

3 years ago

Read 2 more answers