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algol [13]
2 years ago
13

write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)

Mathematics
1 answer:
love history [14]2 years ago
8 0

\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x

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a box cost $2.48, but it is on sale for $1.49. How much do you save on one box when bought on sale? Now how much would you save
Thepotemich [5.8K]

Answer:

1. $0.99

2. $1.98

Step-by-step explanation:

1. From the question we have

Cost of box = $2.48

Selling price = $1.49

That is the box is discounted from $2.48 to $1.49

Therefore, amount saved = $2.48 - $1.49 = $0.99

2. The amount saved from buying a second box is hence;

2 × $0.99 = $1.98

Hence, as the number of boxes bought increases, the amount saved increases

5 0
3 years ago
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Johnny rode his bike 4/7 of a mile from his house to the lake on a straight path. then, he turned around and rode his bike 3/1/8
iren [92.7K]
I hope this helps you



3 1/8=3.8+1/8=25/8


25/8-4/7


25.7/8.7-4.8/7.8


175-32/56


143/56

2 31/56

7 0
3 years ago
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A number subtracted from 16 is -3
rusak2 [61]
Simplify it to 16a hope im right & hope this helps you .
7 0
3 years ago
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. Given that O is the centre of the following circle, find the values of the unknowns.​
alex41 [277]

Given:

Radius of circle is 13 cm

Height of triangle is 5 cm

To find:

Value of 'a' and 'b'

Steps:

To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,

A² + B² = C²

a^{2} + 5^{2} = 13^{2}

a^{2} + 25 = 169

a^{2} = 169 - 25

a^{2} = 144

\sqrt{a^{2}}=\sqrt{144}

a = 12

Now to find the value of 'b', i will use law of cosine,

c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }

12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta =   0.3846\\\beta  = cos^{-1}(0.3846)\\\beta = 67.38

Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively

Happy to help :)

If u need any help feel free to ask

3 0
3 years ago
Anybody? Showing the work too plz?
shusha [124]
I can’t see it, make it clearer please
8 0
3 years ago
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