Answer:
x = -3, y = 1
Step-by-step explanation:
To find the value of x and y, find the determinant of original matrix, which would be 21.
Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.
Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.
So, the x-value is -3.
You can find the determinant of the y-value in the same way, and you'll find out that y = 1.
Hope this helped! :)
Answer:
4 parts
Step-by-step explanation:
If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3
To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:
12 * 1/3 = 12/3 = 4
You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.
Step-by-step explanation:
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<span>4x+5/6x^2-x-12 - (5x/6x^2-x-12)
= (4x + 5 - 5x)/(</span>6x^2-x-12)
= (-x + 5) / (2x - 3)(3x +4)
<span>
answer
-x + 5
---------------------
</span> (2x - 3)(3x +4)
Answer: 5.9 cm for both triangles.
Step-by-step explanation:
Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.
Replacing with the values given:
c^2 = 3^2 + 5^2
c^2 = 9+25
c^2 = 34
c = √34
c = 5.9 cm
Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.
Feel free to ask for more if needed or if you did not understand something.
