Answer:
32: 64= 12 : 24.
Step-by-step explanation:
Given : 32:__= 12 : 24.
To find : Find the equivalent ratio.
Solution : We have given 32:__= 12 : 24.
Let the number be x .
32 : x = 12 : 24.
.
On cross multiplication
32 * 24 = 12 *x .
On dividing both sides by 12 .
x = 32 * 2.
x = 64.
Then ratio : 32: 64= 12 : 24.
Therefore, 32: 64= 12 : 24.
<em><u>Solution:</u></em>
We have to find the distance between two landmarks
<em><u>Use the law of cosines</u></em>
The third side of a triangle can be found when we know two sides and the angle between them
Here, angle between 90 meters and 130 meters is 65 degrees
From figure,
a = 90
b = 130
c = d
Therefore,
Thus, the distance between two landmarks is 123 meters
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (9, 2) and (x₂, y₂ ) = (9, - 5)
m = =
Since division by zero is undefined then the slope is undefined.
This indicates that the line is vertical.
Answer:
The roots of the equation are x = and x =
and there are no real roots of the equation given above
Step-by-step explanation:
To solve:
5x² − 3x + 17 = 9
or
⇒ 5x² − 3x + 17 - 9 = 0
or
⇒ 5x² − 3x + 8 = 0
Now,
the roots of the equation in the form ax² + bx + c = 0 is given as:
x =
in the above given equation
a = 5
b = -3
c = 8
therefore,
x =
or
x =
or
x = and x =
or
x = and x =
here i = √(-1)
Hence,
The roots of the equation are x = and x =
and there are no real roots of the equation given above