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2 years ago

QUICKLY HELP!

2 answers:

swat322 years ago

8 0

A+(-5)=-12 ...positive (+) and negative (-) make a negative (-)
a-5=-12 ...move -5 to the other side using addition
a-5+5=12+5
a=17

The answer is the fourth choice, d. a=17.

Leviafan [203]2 years ago

7 0

a+(−5)=−12

a−5=−12

a = -12 + 5

a = -7

answer is b. a=−7

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saw5 [17]

Answer:

Step-by-step explanation:

Hello,

First of all we will take any real number x different from 0, -2, +2 as dividing by 0 is not allowed and then we can write

$\dfrac{( - x - 2)}{x(x^2 - 4)}=-\dfrac{x+2}{x(x-2)(x+2)}=\large \boxed{ -\dfrac{1}{x(x-2)}}$

because we know that

$x^2-4=x^2-2^2=(x-2)(x+2)$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0

2 years ago

2sin^2x + 2cos^2x = 4a, then a = ? A. 4 B. 3 C. 2 D. 1 E. 1/2

tensa zangetsu [6.8K]

Answer:

E. 1/2

Step-by-step explanation:

Divide by 2, then make use of the Pythagorean identity for sine and cosine.

sin(x)^2 +cos(x)^2 = 2a

1 = 2a . . . . . . . sin²+cos²=1

1/2 = a

6 0

3 years ago

Read 2 more answers

A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over

solong [7]

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

3 0

3 years ago

A rectangular vegetable garden will have a width that is 4 feet less than the length, and an area of 140 square feet. If x repre

UNO [17]

Answer:

The length of the garden=14 feet

Step-by-step explanation:

Step 1: Determine the dimensions of the garden

length of the garden=x feet

width of the garden=(x-4) feet

Step 2: Determine the area of the garden

Area of the garden=length×width

where;

area=140

length=x

width=x-4

replacing'

x(x-4)=140

x²-4x-140=0, solve the quadratic equation;

x={-b±√(b²-4ac)}/2a

x={4±√4²-4×1×-140}/2×1

x={4±√(16+560)}/2

x={4±√576}/2

x=(4±24)/2

x=(4+24)/2=14, or (4-24)/2=-10, take x=14

The length=14 feet, width=(14-4)=10 feet

The length of the garden=14 feet

8 0

2 years ago

2. In the circle shown, secants PE and PF have been drawn such that mCE  82 , mDF  98 and the ratio 3. In circle O, tangent

Andrew [12]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The arc PR is $\theta _{PR} = 84$

Step-by-step explanation:

A descriptive diagram of the diagram given in the question is shown on the first uploaded image

In the circle tangent $\= {M \= Q}$ , secant $PE$ and chord $PF$ are drawn

given that $\theta _ {MPQ} = 102^o$ , $\theta _{M} = 60^o$

The objective is to determine PR

From the diagram we see that MQ is a straight which implies that the the angle

$\theta_{NPM} = 180 -102$

$\theta_{NPM} = 78^o$

Now looking at triangle NMP we see that

$\theta _{MNP} = 180 -[ \theta_{NMP} + \theta _{NPM}]$

$\theta _{MNP} = 180 - [60 + 78 ]$

$\theta _{MNP} = 42 ^o$

Now the measure of an inscribed angle is half the measure of its arc intercepted, this statement is the inscribed angle theorem

So with the knowledge

Then

$\theta_{RNP} = \frac{1}{2} \theta_{PR}$

Looking at the diagram we see that

$\theta _{MNP} = \theta_{RNP} = 42 ^o$

$42 = \frac{1}{2} \theta _{PR}$

$\theta _{PR} = 2 * 42$

$\theta _{PR} = 84$

7 0

2 years ago