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3 years ago

What is the slope of the line passing through the points (2, 5) and (-1, -4)

Mathematics

2 answers:

LekaFEV [45]3 years ago

5 0

Answer:

Slope = 3

Step-by-step explanation:

Slope = $\frac{y2 - y1}{x2 - x1}$

Slope = $\frac{-4 - 5}{-1 - 2}$

Slope = $\frac{-9}{-3}$

Slope = 3

Answer: Slope = 3

Mariulka [41]3 years ago

4 0

Answer:3/1

Step-by-step explanation:-4-5/-1-2=-9/3=3/1

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What is the simplified form of the quantity of x plus 9, all over the quantity of 8 − the quantity of x plus 3, all over the qua

marishachu [46]

X +9 x +3 (x+9)(x+2) - 8(x+3)
------ - --------- = ---------------------------
8 x +2 8(x+2)

do you think it in this way or more simplified ?

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3 years ago

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What is the cost in dollars and cents for each chocolate bar?

gogolik [260]

Answer:

$1.45

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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2 years ago

2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of the

Gekata [30.6K]

They lose 33% of games i.e 0.33
They win 67% of games i e 0.67

P(A)=0.33
P(A')=0.67

Now

They win from 15games=10
They lose=5

The required probability

$\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}$

$\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}$

$\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}$

$\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}$

$\\ \rm\rightarrowtail 0.00007098(3003)$

$\\ \rm\rightarrowtail 0.213$

So probability

0.213(100)=21.3%

Option B

3 0

2 years ago

Read 2 more answers

Shaded area is 54 pi cm squared. Find X

EleoNora [17]

Answer:

x = 3π/4 radians = 135°

Step-by-step explanation:

The area of a sector of central angle α is ...

A = (1/2)r²α

Filling in the given values, we can find the central angle to be ...

54π cm² = (1/2)(12 cm)²x

x = (54π)/(72) = 3/4π . . . . radians

x = 135°

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3 years ago

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A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.

Tju [1.3M]

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493

=> y = 9493 - x ------(1)

$\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}$

$\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}$

As total interest earned = $930.80

$\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}$

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850

Amount invested in account where Simple Interest is 9% = x = $1850

Hence $1850 was invested in 9% account.

5 0

3 years ago