Answer:
8. B
9. A
Step-by-step explanation:
F(x) = x^2 - 3x
f(-8) = (-8)^2 - 3(-8)
f(-8) = 16 - (-24)
f(-8) = 16 + 24
f(-8) = 40 (Answer)
Hope this helps
Answer:
Refer the digram & explanation.
Step-by-step explanation:
<u>GIVEN :-</u>
- Tangents PQ & PR drawn to a circle with center O from an external point P.
<u>TO PROVE :-</u>
<u>CONSTRUCTION :-</u>
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
- (Angle at which tangents are inclined to each other from the external point) + (Angle the tangents subtend at the center of the circle) = 180°.
<u>PROCEDURE :-</u>
∠QPR + ∠QOR = 180°
⇒ ∠QOR = 180° - ∠QPR
In ΔQOR , OQ = OR (∵ Radii of the circle are equal)
⇒ ΔQOR is an isosceles triangle (∵ OQ = OR i.e. two sides of the triangle are equal.)
⇒ ∠OQR = ∠ORQ (∵ In an isosceles triangle , the base angles are equal)
So,
∠QOR + ∠OQR + ∠ORQ = 180°
⇒ ∠QOR + 2∠OQR = 180° (∵ ∠OQR = ∠ORQ)
⇒ 180° - ∠QPR = 180° - 2∠OQR (∵ ∠QPR + ∠QOR = 180°)
⇒ -∠QPR = -2∠OQR (∵ Cancelling 180° from both the sides.)
⇒ ∠QPR = 2∠OQR (Proved)
If it took you (one person) 3 days to build a doghouse, then it should take 2 people to build it in half the time. So all we have to do is split 3 days in 2.
3/2 = 1.5
So it would take 1 1/2 days or 36 hours for 2 people to complete the doghouse.
Answer:
y = 2x - 4
Step-by-step explanation:
Slope-intercept is written in this form:
y = mx + b
Where m = slope and b = y-intercept
With this information, plug in the slope and the y-intercept where they belong