Answer:
Step-by-step explanation:
AD = BD (CD bisects AB means that it divides the line into two equal parts)
So,
AD = BD = AB/2
So,
AD = 3/2
AD = 1.5
<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>
Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)
Taking sqrt on both sides
Tip: look up the words and find the definition! its much easier
9514 1404 393
Answer:
(x, y, z) = (-1, 0, -3)
Step-by-step explanation:
We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.
Adding equations 1 and 2:
(2x -3y -2z) +(x +3y +2z) = (4) +(-7)
3x = -3
x = -1
Adding equations 2 and 3:
(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)
-3x -y = 3
Substituting for x, we get ...
(-3)(-1) -y = 3
0 = y . . . . . . . . . . . add y-3 to both sides
Then z can be found from any equation. Substituting for x and y in the second equation gives ...
-1 +2z = -7
2z = -6 . . . . . add 1
z = -3 . . . . . .divide by 2
The solution is (x, y, z) = (-1, 0, -3).
Answer:
Yes, it is
Step-by-step explanation:
Given
The attached image
Required
Is AB a tangent to the circle
From the attached circle, we can see that AP is the radius of the circle P.
And by definition, a tangent touches the circle at only one point.
Since AB touches the circle at only point A, then AB is a tangent.
Answer:
First number = 4
Second number = 9
Step-by-step explanation:
If the first number = x, the second number = x + 5.
The calculation can be expressed as follows:
x + 2(x + 5) = 22
First, expand the bracket 2(x + 5):
x + 2x + 10 = 22
Combine like terms:
3x + 10 = 22
Subtract 10 from both sides:
3x = 12
Divide both sides by 3:
x = 4
First number = 4
Second number = 4 + 5 = 9
