x - 24 = 3 (-1) x
x - 24 = -3x
-24 = -4x
x = 6
Step-by-step explanation:
Answer:
AC=32 units.
Step by step explanation:
Given information: B, D, and F are midpoints if the sides of ΔACE, EC = 38 and DF = 16.
Consider the below figure attached with this question.
According to the midpoint theorem, if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
Using midpoint theorem, the length of AC is twice of DF.

Substitute the given values in the above equation.


Therefore, the length of AC is 32 units.
Answer:
9. x = 5
10. AD = 7
Step-by-step explanation:
As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.
We can substitute to get:
2x - 3 = x + 2
And simplify and solve:
x - 3 = 2
x = 5
AD is just 2x - 3, so we can substitute in x to find AD:
AD = 2(5) -3
AD = 10 - 3
AD = 7
Answer:
x = 6, x = - 6
Step-by-step explanation:
Given
y = x² - 36
To find the zeros let y = 0, that is
x² - 36 = 0 ← x² - 36 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 36 = 0
x² - 6² = 0
(x - 6)(x + 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 6 = 0 ⇒ x = - 6