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Helga [31]
4 years ago
7

The solution to 3x2 – 12x 24 = 0 is

Mathematics
2 answers:
Marrrta [24]4 years ago
8 0

The answer will be B. 2+2i or 2-2i.

zzz [600]4 years ago
7 0
3x^2 - 12x + 24 = 0 \\ x^2 - 4x + 8 = 0 \\ x= \frac{-b \pm  \sqrt{ b^{2} -4ac} }{2a} 
; where a = 1, b = -4 and c = 8
x= \frac{-(-4) \pm \sqrt{ (-4)^{2} -4 \times 1 \times 8} }{2 \times 1} \\ = \frac{4 \pm \sqrt{ 16 -32} }{2} \\ =\frac{4 \pm \sqrt{ -16} }{2} \\ =\frac{4 \pm 4i }{2} \\ =2+2i \ or \ 2-2i
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6 0
3 years ago
What is the measure of minor arc BD?
Vaselesa [24]

Answer:

minor\ arc\ BD=100^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle

so

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

so

m\angle BAC=m\angle DAC

Find the measure of angle BAC

In the right triangle ABC

m\angle BAC+m\angle BCA=90^o

substitute given value

m\angle BAC+40^o=90^o

m\angle BAC=90^o-40^o=50^o

Find the measure of angle BAD

m\angle BAD=2m\angle BAC

m\angle BAD=2(50^o)=100^o

Find the measure of minor arc BD

we know that

minor\ arc\ BD=m\angle BAD -----> by central angle

therefore

minor\ arc\ BD=100^o

8 0
3 years ago
Read 2 more answers
2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a).
alexandr1967 [171]
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Thus, if m=10 units, the acceleration is a = F/10 units.  Looks as tho' you were given the numeric value of F but did not share that value here.  

Solving F=ma for m:  m=F/a.  Thus, if F=25 units and a=5 units, m=25/5 units, or m=5 units.
7 0
3 years ago
Read 2 more answers
−3x + 2 ≥−1 in a number line
Ksivusya [100]

Answer:

Given, 3x−2<2x+1

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Step-by-step explanation:

4 0
3 years ago
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