Answer:
w = 6
Step-by-step explanation:
5w-26 = - 4 (w - 7) multiply -4 through
5w - 26 = - 4w + 28 add 4w to each side to cancel it out on the right
5w + 4w - 26 = 28
9w - 26 = 28 Now add 26 to each side
9w - 26 + 26 = 28 + 26
9w = 54 Now divide each side by 9
(9w)/9 = 54/9
w = 6
Hello :
f(x) = <span>a(x-k)²+k....... the point vertex is (h , k )
in this exercice : h = -3 and k = -1 s0 f(x) = a(x+3)²-1
find : a
but f(0)=8
a(0+3)² -1 = 8
9a-1=8
9a =9
a=1
f(x) =(x+3)²-1 =x²+6x+9-1
f(x) = x²+6x+8 .... (</span><span>the quadratic function in standard form )</span>
[B] The ratios in Table B are greater than the ratios in Table A.
Step-by-step explanation:
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Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
Answer:
Step-by-step explanation:
Volume of first container = 48 cm³
πr²h = 48 cm³
Second container:
height = (2/3)h
Volume of second container=
=(2/3)* first container's volume {πr²h = 48 cm³}
= 32 cm³
