In order to isolate k, we would first cross multiply
3*k=9*10
3k=90
Then to isolate k, we would divide both sides by 3 to get:
K=30
Hope this helps
When the difference between one and two numbers is two, the two numbers are -10 and -12.
Given that,
The difference between one and two numbers is two. Twelve more than six times the second is four times the first.
We have to find the number.
We know that,
The system of equation we get
x=y-2 ----->equation(1)
4x=12+6y ----->equation(2)
Substitute for x in the equation(2)
4(y-2)=12+6y
4y-8=12+6y
4y-6y=12+8
-2y=20
y=-10
Substitute y=-10 in equation(1)
x=-10-2
x=-12
Therefore, The two numbers area -10 and -12 when the difference between one and two numbers is two.
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Answer:
x = 19/3
Step-by-step explanation:
30 - 11 = 3x
3x = 19
x = 19/3
hope it helps!
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
Answer:
-1/2 is your answer.
Step-by-step explanation:
The slope formula is (y_2 - y_1)/(x_2 - x_1)
The y's are -3 and 2, while the x's are 9 and -1.
(-3-2)/(9-(-1))=-5/10=
-1/2 is your answer.