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2 years ago

Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?

Mathematics

2 answers:

cluponka [151]2 years ago

7 0

To determine the slope, you can use the following formula:

(y2-y1)/(x2-x1)

nevsk [136]2 years ago

7 0

The distance formula is one method

The change in y over the change in x equals the slope.

(-7, 3) & (1, -9)

To get from 1 to -7 you subtract 8
To get from -9 to 3 you add 12

12/-8 reduces to 3/-2

The slope is 3/-2

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I need help with the top 3 plz

attashe74 [19]

Answer/Step-by-step explanation:

Recall: SOHCAHTOA

1. Reference angle = 70°

Adjacent side = x

Hypotenuse = 6 cm

Apply CAH. Thus,

Cos 70 = adj/hyp

Cos 70 = x/6

6 × cos 70 = x

2.05 = x

x = 2.05 cm

2. Reference angle = 45°

Adjacent side = x

Hypotenuse = 1.3 m

Applying CAH, we would have the following ratio:

Cos 45 = adj/hyp

Cos 45 = x/1.3

1.3 × cos 45 = x

0.92 = x

x = 0.92 m

3. The who diagram is not shown well. Some parts are missing, however you can still solve the problem just the same way we solved problem 1 and 2.

6 0

3 years ago

David is buying fish for his aquarium. Clown fish cost $12 each and angel fish cost $7 each. If he has $100 to spend, and he wan

Anni [7]

Answer:

6 clown fish and 4 angel fish

Step-by-step explanation:

lets say he bought 8 clown fish.

12*8 = 96

the last 4 dollars wont be used.

lets say he bought 7 clown fish-

12*7 = 84

100 - 84 = 16. 16 is not a multiple of 7.

lets say he bought 6 clown fish,

12*6 = 72

100 - 72 = 28

28/7 = 4

If David has $100 dollars to spend and wants to spend every dollar, he can buy 6 clown fish and 4 angel fish.

3 0

1 year ago

What is the approximate distance between the points (-3, -4) and (-8, 1) on a coordinate grid

tatyana61 [14]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -3 &,& -4~) 
% (c,d)
&&(~ -8 &,& 1~)
\end{array}\\\\\\ % distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2}
\\\\\\
d=\sqrt{25+25}\implies d=\sqrt{2\cdot 25}\implies d=\sqrt{2\cdot 5^2}\implies d=5\sqrt{2}$