Answer:
<em>The points that are 17 units from P(-97,2) are:</em>
<em>(-105,-13) and (-105,17)</em>
Step-by-step explanation:
<u>Distance between two points</u>
The distance between points A(x,y) B(w,z) can be calculated with the formula:
One point is (-105,y) and the other is (-97,2). Computing the distance between them:
This distance is 17, thus:
Squaring on both sides:
Operating:
Taking the square root:
There are two possible solutions:
The points that are 17 units from P(-97,2) are:
(-105,-13) and (-105,17)
7 + ax - 5x = 3 + 2x - bx
ax + bx - 5x - 2x = 3 - 7
ax + bx - 7x = -4
x (a + b - 7) = -4
x = -4/(a + b - 7)
Answer:
Step-by-step explanation:
Angle PRQ is inscribed in a semi-circle, so the angle is a right angle.
4z - 10 = 90
Add 10 to both sides.
4z = 100
Divide both sides by 4.
z = 25
Answer:
ED=12 units
Step-by-step explanation:
From the diagram triangle EAB is similar to triangle EDC.
The corresponding sides will be proportional.
EA/ED=AB/DC
This implies that:
We cross multiply to get:
We expand to get:
Group similar terms to get:
Combine the similar terms to get:
Divide through by 3 to get:
This will simplify to:
Therefore ED=2*4+4=8+4=12
<em>i</em><em> </em><em>think</em><em> </em><em>it</em><em> </em><em>is</em><em><u> </u></em><em><u>8</u></em>
Step-by-step explanation:
hope this helps! ;)