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Blizzard [7]
3 years ago
12

The graphs of two linear equations ax + by = c and bx - ay = c, where a, b, c are all not equal to zero.

Mathematics
1 answer:
marin [14]3 years ago
4 0
Let us find the slopes of the two lines

ax+by=c, slope m1 = -a/b

bx-ay=c, slope m2 = b/a

m1*m2 = (-a/b)(b/a) = -1

Therefore the two lines are perpendicular so the answer is D
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Help me now pleasee!!!
Mice21 [21]
For this, you have to plot the points on the graph. where it says right hand height, you go down to that number on the x axis (horizontal) and then up to the correct number for right foot length (vertical)
8 0
3 years ago
Need help w this onee thankss!!
skad [1K]

Step-by-step explanation:

if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.

now from the angle given i.e X.

perpendicular= 5 cm

base = 14 -2= 12 cm

hypotenuse= ?

we know that,

h² = p²+b²

= 5²+12²=169

h= √169

h= 13

again,

cos X = b/h

= 12/13

6 0
2 years ago
A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. Does the tank have enough water to fil
Reptile [31]

Answer:

Yes, it can.

Step-by-step explanation:

To know if you can fill all the water balloons with the tank, the first thing is to calculate the volume of each one.

Volume of the tank, is a cylinder, whose volume is given as follows:

Vc = Pi * Rc ^ 2 * h

 

The radius of the cylinder has a value of 12 inches and the height of 20 inches. Thus:

Vc = 3.14 * (12) ^ 2 * 20 = 9043.2 inches ^ 3

Now, the volume of each globe that is a sphere is given by the following equation:

Ve = (4/3) * Pi * Re ^ 3

Being the radius of the sphere of 2, we have to:

Ve = (4/3) * 3.14 * 2 ^ 3 = 33.5 inches ^ 3

Now to know if you can fill all the balloons, we calculate the volume ratio of the tank and a balloon.

Vc / Ve = 9043.2 /33.5 = 269.95

Therefore, it can fill the 250 balloons because it has the capacity to carry approximately 269 balloons.

8 0
3 years ago
Read 2 more answers
On a coordinate plane, point A is 3 and one-half units to the left and 2 and one-half units up.
goldfiish [28.3K]

<u>Answer:</u>

  • A: (Negative 3 and one-half, 2 and one-half)

<u>Solution:</u>

On a graph, left would be a negative and up would be a positive. Hence the answer is A as none of the others are using the correct numbers.

Hope this helped!

-Zac

4 0
2 years ago
Read 2 more answers
8. The product of a number and 4 is less than or equal to 36.
olya-2409 [2.1K]
For instance take 9; 9x4= 36
So it will be equal
7 0
3 years ago
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