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natta225 [31]
4 years ago
12

Using the given points and line, determine the slope (8,1) and (8,-4)

Mathematics
1 answer:
DENIUS [597]4 years ago
5 0
To solve for slope, use the equation:

slope = (y₂ - y₁)/(x₂ - x₁)

(8,1) = (x₁, y₁)
(8, -4) = (x₂, y₂)

Plug into corresponding places

(-4 - 1)/(8 - 8)

-5/0 = Undefined (because you cannot have parts over 0)

There is no slope. Unsolvable


hope this helps

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A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
4 years ago
Find an equation of the plane that passes through the points p, q, and r. ​ p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)
Alona [7]

Answer:

x - 2y - 3z = 0

Step-by-step explanation:

The cross product of vectors rp and rq will give a vector that is normal to the plane:

... rp × rq = (-3, 6, 9)

Dividing this by -3 (to reduce it and make the x-coefficient positive) gives a normal vector to the plane of (1, -2, -3). Usint point r as a point on the plane, we find the constant in the formula to be zero. Hence, your equation can be written ...

... x -2y -3z = 0

3 0
4 years ago
marcia is buying a new car . she can choose from 4 car colors , 9 interior materials and 3 safety features. how many different c
katrin [286]

she can choose from 4 car colors , 9 interior materials and 3 safety features

4 x 9 x 3 = 108

Answer:

108 different combinations of cars Marcia could order

5 0
4 years ago
Solve 3x + k = c for x.
MariettaO [177]

Answer:

it's the second option

Step-by-step explanation:

let me know if it's right or wrong

3 0
3 years ago
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Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to
Lorico [155]
R = A / tetha

70° × pi/180 = radian
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3 = A / 1.222
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i am a mathematics teacher. if anything to ask please pm me
7 0
4 years ago
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