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AveGali [126]
3 years ago
14

What is an equation of a line in point slope form that passes through (-2, -6) and has a slope of 1/3

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer:

y + 6 = (1/3)(x + 2)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

... y - k = m(x - h)

Fill in the numbers you are given for slope and point.

... y -(-6) = (1/3)(x -(-2))

Simplify the double negatives:

... y + 6 = (1/3)(x + 2)

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a metal worker has a metal alloy that is 20% copper, and another metal alloy that is 60% copper. How many kilograms (kg) of each
emmainna [20.7K]

Let X = the 29% alloy and Y = the 60% alloy.

They want a total of 80kg, so you have X +Y = 80

Rewrite that to get X = 80-Y


You also want 0.20X + 0.60Y = 0.52(80)

Replace X with 80-y:

0.20(80-y) + 0.60y = 0.52(80)

Simplify:

16 - 0.20y + 0.60y = 41.6

Combine like terms:

16 +0.40y = 41.6

Subtract 16 from each side:

0.40y = 25.6

Divide both sides by 0.40

y = 25.6 / 0.40

y = 64


Now you have Y replace y with 80 in X = 80-Y

X = 80 - 64

X = 16

They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.


5 0
3 years ago
Fred paid $75 for a pack of 15 toy mice.<br><br><br> How much did each mouse cost?
morpeh [17]
75 divided by 15 equals 5 so each mouse cost $5.
7 0
3 years ago
Read 2 more answers
Please answer both with work,please use a paper and picture, thanks ​
Irina-Kira [14]

Answer:

a.  $ \frac{\textbf{17}}{\textbf{4}} $

b.  $ \frac{\textbf{3}}{\textbf{8}} $

Step-by-step explanation:

a. $ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $

A mixed fraction of the form $ a\frac{x}{y} = a + \frac{x}{y} $

$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $

$ = 4 + \frac{1}{4} $

$ = \frac{\textbf{17}}{\textbf{4}} $

b. $ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $

A mixed fraction of the form $ -c\frac{a}{b} = - c - \frac{a}{b} $

$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $

$ = 1 - \frac{5}{8} $

$ = \frac{8 - 5}{8} $

$ = \frac{\textbf{3}}{\textbf{8}} $

Hence, the answer.

8 0
3 years ago
What is the value of q?
andre [41]

Answer: here

Step-by-step explanation:riangles QST and RST are similar.  Therefore, the following is true:

q       s

--- = ----   This results in 10q=rs.

r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.  

           4      s

Also:  ---- = -----    which leads to s^2 = 40

           s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

hope it helps

6 0
3 years ago
300 yards / 1 minute find unit rate feet per wonds
Serhud [2]
132 ft / sec. I believe this is the answer.
5 0
3 years ago
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