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Alex_Xolod [135]
3 years ago
9

HELPP PLZZ

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0

Answer:

f(x) = x² - 9x + 18

General Formulas and Concepts:

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Binomial Roots: (x + a)(x + b)(x + c)(x + ...)
  • Expanding by FOIL-ing (First, Outside, Inside, Last)

Step-by-step explanation:

<u>Step 1: Define</u>

Zeros/Roots x = 3, 6

<u>Step 2: Find Function</u>

  1. Rewrite Binomial Roots:                    f(x) = (x - 3)(x - 6)
  2. Expand by FOIL-ing:                          f(x) = x² - 6x - 3x + 18
  3. Combine like terms (x):                      f(x) = x² - 9x + 18
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Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
hodyreva [135]

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}

Sin P = 0.3

P = Sin^{-1} 0.3\\

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

6 0
2 years ago
ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help
anyanavicka [17]

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

4 0
2 years ago
Does the table show an exponential function?
Alexus [3.1K]

Yes it does the line will gradually increase

4 0
3 years ago
X+(3x+2)+(1)/(2)x=29
Vladimir79 [104]

Answer:

\boxed{x=6}

Step-by-step explanation:

x+3x+2+0.5x=29

\sf Combine \ like \ terms.

4.5x+2=29

\sf Subtract \ 2 \ from \ both \ sides.

4.5x+2-2=29-2

4.5x=27

\sf Divide \ both \ sides \ by \ 4.5.

\displaystyle \frac{4.5x}{4.5} =\frac{27}{4.5}

x=6

5 0
3 years ago
a jeweler buys a ring for $85.00 and sell it with 135% increase in price. How much did he sell it for?
siniylev [52]
Well if the increase is 135% then
actual price=85
135% of actual price=114.75
new price
= actual price + increased price
= 85+114.75
=119.75
6 0
3 years ago
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