Answer:
When multiplying radical expressions with the same index, we use the product rule for radicals. If a and b represent positive real numbers,
Example 1: Multiply:
√2⋅√6
Solution: This problem is a product of two square roots. Apply the product rule for radicals and then simplify.
Step-by-step explanation:
Hope this helps . ;)
If the lines are parallel (have the same slope but different intercepts) . . .
no solution, because they never cross.
If the lines have different slopes . . .
one solution, because they have exactly one common point.
If the lines have the same slope and the same intercept . . .
infinitely many solutions, because every point on one line is also a point on
the other line, one lays right on top of the other, and when you look at them on
the graph, it looks like only one line.
X = larger number, y = smaller number
x + y = 75
x = 3y + 11
3y + 11 + y = 75
4y + 11 = 75
4y = 75 - 11
4y = 64
y = 64/4
y = 16 <=== ur smaller number
x = 3y + 11
x = 3(16) + 11
x = 48 + 11
x = 59...ur larger number
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:
2x2+2x-1=
4+2(-3)-1=
4+(-6)-1=
4+(-7)=
-3
