A (4,8) and b (7,2) and let c (x,y)
A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)
<span>The distance
between two points (x₁,y₁),(x₂,y₂) = d
</span>
The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC

= <span>

eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
∴ y = -2 or y = 6
The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B
So, the point C = (9,-2)
See the attached figure for more explanations
</span>
Answer:
-63
Step-by-step explanation:
9 - (2×3) × 12
9 - (6 × 12)
9 - 72
= -63
Sorry Fam I Tried Hope You Get The Answr Your Looking For!
Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.
<h3>What is the present value of the annuity?</h3>
First, find the present value of the annuity at 5 years:
= 1,850 x present value interest factor of annuity, 60 months, 8/12%
= 1,850 x 49.32
= $91,242
Then find the present value of the annuity from 5 years till date:
= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)
= (1,850 x 44.955) + ( 91,242) / (1 + 1%)⁶⁰)
= $133,349.85
Find out more on the present value of annuities at brainly.com/question/24097261.
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Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.