Answer:
The value of
.
Step-by-step explanation:
Diagram of the given scenario shown below.
Given that,
Distance from bench to Jasmyn is
.
Distance from bench to Willard is
.
From the Question,
The given wishing well is a circle and all the distance are tangent to the circle.
So, Triangle formed by these points are such as Δ
and Δ
.
Now, taking both Δ
and Δ
.
⇒
{Radius of circle are equal}
⇒
{Common side}
⇒ ∠
∠
{radius is always perpendicular
to the point of tangent }
∴ Δ
≅ Δ
{By SAS congruence theorem}
Therefore,
....(1) {corresponding part of
congruence triangle (CPCT)}
Thus,
⇒
{from equation (1)}
⇒
⇒ 
Hence, The value of
.
Answer:
Step-by-step explanation:
f(x) =2x - 7
f( - 3) = 2( - 3) - 7 = - 13
f(3) = 2(3) - 7 = - 1
f(a) = 2a - 7
- f(a) = - (2a - 7) = 7 - 2a
f(a + h) = 2(a + h) - 7 = 2a + 2h - 7
Answer:
76
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the discriminant is Δ = b² - 4ac
given 3x² - 10x = - 2 ( add 2 to both sides )
3x² - 10x + 2 = 0 ← in standard form
with a = 3, b = - 10 and c = 2
b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76
2x2=4
4x4=8
5x5=10
6x7=42
8x4=32
9x10=90
11x2=22
9x3=27