What is the equation of the line that passes through the point (-6,-3) and has a slope of -1/6?

The algebraic expression for the area of desert in Africa is 5 x

Algebraic expressions are expressions that are comprised of variables, terms, factors, coefficients, and constants.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, etc.

From the information given, we have;

This can be expressed as;

Area of desert in Africa = 5 x

Thus, the algebraic expression for the area of desert in Africa is 5 x

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The answer is C (x = 91.2)

Step-by-step explanation:

x - 15.2 = 76

x = 76 + 15.2

x = 91.2

Answer:- 4x + 3y = 23

Step-by-step explanation: 1x=y=-7

The cyclist's acceleration vector is not zero.

For given question,

A cyclist goes around a level, circular track at constant speed.

We know that , acceleration is the rate at which velocity changes with time, in terms of both speed and direction.

When cyclist move around a circular track with constant speed cyclist's direction of motion changes with time.

This means, cyclist's velocity will change means cyclist's will have acceleration.

And cyclist's acceleration will not be zero.

Therefore, the cyclist's acceleration vector is not zero.

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Answer: False

Step-by-step explanation:

4 x 106 = 424

Answer: false

Step-by-step explanation: I'm not even going to explain it just multiply 4 x 106

Answer:

61.2

Step-by-step explanation:

1) 75:2=37.2

2) 120:5=24

3) 37.2+24=61.2

Answer:

RS (-11,23)

Step-by-step explanation:

Don't know if this will help but if your looking for an endpoint, I did -2 = x+7/2 To find X. I got -2 from the X coordinate with midpoint. To get rid of the fraction I multiplied by 2 which leads to -4=x+7 since it cancels out the denominator/bottom fraction. X should be -11. Same thing with Y coordinate. 3= y- 17/2. Should give you 6=y- 17 which then becomes Y=23.

Sorry I'm not good at explaining

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

[tex]P(A/B)=\frac{P(A)*P(B/A)}{P(B)}[/tex]

let A be the  event that the student knows the answer .

B be  the  event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

[tex]P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}[/tex]

Probability that the answer is correct ,given that he knows the answer is

[tex]P(E/A)=1[/tex]

Probability that the answer is correct ,given that he guesses it is

[tex]P(E/B)=\frac{1}{3}[/tex]   [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability [tex]P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}[/tex]

Substituting the values we get

[tex]P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }[/tex]

[tex]=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}[/tex]

Therefore ,  the chances that the student was merely guessing is 1/3.

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Answer:

describe any eight risky situation young people are frequently exposed to

The volume of a rectangular prism if the length is 10ft is 250ft2.

A transparent optical prism is a device intended to refract light and has flat, polished surfaces. Prisms do not have two parallel surfaces; at least one of their surfaces must be slanted. Since a triangular prism with a triangular base and rectangular sides is the traditional geometrical shape of an optical prism, this type is typically meant when the word "prism" is used in everyday speech. Certain optical prism varieties don't actually have geometric prism shapes. Any material that transmits the wavelengths for which it is intended can be used to create prisms. Glass, acrylic, and fluorite are common building blocks.

From description, l = 2h = 2w

Since it has a square base,w=h

V = lwh = 2w•w•w = 2w3

Surface area, A = 2(wl+hl+hw) = 2(2w2+2w2+w2) = 250

5w2=250/2 = 125

w2= 25

V= 2(5)3 = 2(125)= 250 ft2

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Answer:

  4x² -11x +5 = 0

Step-by-step explanation:

Given α and β are roots of 4x² -5x -1 = 0, you want to find the quadratic equation that has (2-α) and (2-β) as its roots.

Factoring out the leading coefficient, we can write the factored form of the given quadratic as ...

  4(x -α)(x -β) = 0 = 4x² -5x -1

When the roots are changed from α and β to (2-α) and (2-β), the factored form of the new equation is ...

  4(x -(2 -α))(x -(2 -β)) = 0

  4(x -2 +α)(x -2 +β) = 0

Negating both factors allows us to write this in a familiar form:

  4((2 -x) -α)((2 -x) -β) = 0

Comparing to the original factored quadratic, we see that this is the original with x replaced by (2 -x). Then the quadratic we seek is ...

  4(2-x)² -5(2 -x) -1 = 0 . . . . . . . . . . . original with x replaced by (2-x)

  4(4 -4x +x²) -10 +5x -1 = 0 . . . . simplify a bit

  4x² -11x +5 = 0 . . . . . . . . . . simplify

The quadratic whose roots are (2-α) and (2-β) is 4x² -11x +5 = 0.

__

Additional comment

Effectively, the roots and the equation are reflected across the line x=1.

Answer: log3^0.1+\:2log3^x\:=\:log3^2\:+\:log3^{\:}5

Step-by-step explanation: go to symbolab.com to get the step by step explanation or to answer problems like this hope this helps.

Answer:

x = 2

Step-by-step explanation:

Let's solve for the value of x,

→ √2x - 1 + 3 = 4

→ √2x + 2 = 4

→ √2x = 4 - 2

→ 2x = (2)²

→ x = 4/2

→ [ x = 2 ]

Hence, the value of x is 2.

Answer:

50 divided by 5 is 10

Step-by-step explanation:

Answer:

x/5

Step-by-step explanation:

The first term, the common difference, and the sum of the first thirty-three terms of the arithmetic sequence is 2, 1.5 and 68.5 respectively.

a + 4d = 8

a + 9d = 15.5

9d - 4d = 15.5 - 8

5d = 7.5

d = 7.5/5

d = 1.5

substitute into

a + 4d = 8

a + 4(1.5) = 8

a + 6 = 8

a = 8 - 6

a = 2

S33 = n/2 + {2a (n - 1)d}

= 33/2 + {2×2 + (33 - 1)1.5}

= 16.5 + {4 + (32)1.5}

= 16.5 + (4 + 48)

= 16.5 + 52

= 68.5

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Answer:

declares that human rights are universal – to be enjoyed by all people, no matter who they are or where they live

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Point slope form is y-y1=m(x-x1)

If the point is (3, -2) then y1 is -2 and x1 is 3, then the equation should look like this y+2=m(x-3)

Then you just plug in -2 for m

Total time spend by Natalie doing her Math and English homework is 90 minutes ,equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

As given,

Total time spend =90 minutes

Time spend on doing

English homework =x minutes

Math homework =y minutes

Equation representing the function,

y = 90-x

Therefore, total time spend is 90 minutes , equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

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Answer:

Slope=1.000/2.000=0.500

b-i

q-i

b-(2*q+6)=0

Step-by-step explanation:

1.1     Solve   b-2q-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  b-2q-6  = 0 and calculate its properties

Notice that when b = 0 the value of q is 3/-1 so this line "cuts" the q axis at q=-3.00000

 q-intercept = 6/-2 = 3/-1  = -3.00000

When q = 0 the value of b is 6/1 Our line therefore "cuts" the b axis at b= 6.00000

 b-intercept = 6/1  =  6.00000

Slope is defined as the change in q divided by the change in b. We note that for b=0, the value of q is -3.000 and for b=2.000, the value of q is -2.000. So, for a change of 2.000 in b (The change in b is sometimes referred to as "RUN") we get a change of -2.000 - (-3.000) = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

 Slope = 1.000/2.000 = 0.500

 b-intercept = 6/1 = 6.00000

 q-intercept = 6/-2 = 3/-1 = -3.00000

Step-by-step explanation:

Because in this situation you have 2 ways to solve it

But in this case you can't so we have another solution

Subtract angel from 360 it will give you result with negative or different results

If you have angel 100

The sin maybe equal sin100 or sin 360-100

Answer:

b

Step-by-step explanation:

Hey there!

48 + 60 = 108

The DISTRIBUTIVE formula:

12(4 + 5)

= 12(4) + 12(5)

= 48 + 60

= 108

OR EVEN

12(4 + 5)

= 12(9)

= 108

Therefore, your answer should be:

12(4 + 5)

Goof luck on your assignment & enjoy your day!

~Amphitrite1040:)

An inequality that represents Alicia’s possible age is x < 8.

For given question,

let x represent Alicia's age.

Amy is eight years older than twice her cousin Alicia’s age.

So, Amy's age would be 2x + 8

The sum of their ages is less than 32.

We write above statement in mathematical expression.

sum of their ages = (2x + 8) + x

                             = 3x + 8

The sum of their ages is less than 32.

We use the symbol < for 'less than'

So, the mathematical expression form of given statement would be,

(3x + 8) < 32

So, we get an inequality 3x + 8 < 32

⇒ 3x < 32 - 8

⇒ 3x < 24

⇒ x < 24/3

⇒ x < 8

Therefore, an inequality that represents Alicia’s possible age is x < 8.

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Answer:

23.3cm

Step by step:

Tri;APQ~Tri;ABC(A.A.A)

AP/AB=AQ/AC=PQ/BC

AP/AP+BP=AQ/AQ+QC

3/3+AQ=AQ/AQ+49/3

3AQ+49=3AQ+AQ^2

AQ^2=49

AQ=7

#AC=AQ+QC

=7+(49/3)

=23.333

(Thu Zar You should give me brainlist)

The simplest form of 12 to 14 is 6 to 7.

It should be noted that the information is that we should find the simplest form of 12 to 14.

In this case, it's important to look at their common factor. The common factor here is 2.

Therefore, the simplest form will be:

(12/2) / (14/2) = 6/7.

Therefore, the simplest form of 12 to 14 is 6 to 7.

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Answer:  -21

Step-by-step explanation:

To solve this, you must subtract either one of the numbers from the other, then take the absolute value.

The easiest way is to subtract -6 from 15, since it will allow you to work with positive numbers.

So you do 15 - (-6), which is the same as 15 + 6. The answer is -21, and since it is a positive number, no further calculations are required to find the absolute value.

Step-by-step explanation:

Answer:

[tex]\frac{1}{x^{\frac{5}{3}}}[/tex]

Step-by-step explanation:

[tex]\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}[/tex]

➲ Hope this helps.

Considering the absolute value function, the correct statement is given by:

|-53| = |53|.

The absolute function is defined by:

It measures the distance of a point x to the origin. For this problem, we have that:

Thus, the correct statement is given by:

|-53| = |53|.

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Answer:

answer is 4!

Step-by-step explanation:

Answer: -m*(x-3y)*(3x-y)

(*=multiply btw)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (m • ((x + y)2)) -  4m • (x - y)2

STEP2:

Equation at the end of step 2

 m • (x + y)2 -  4m • (x - y)2

STEP3:

3.1     Evaluate :  (x+y)2   =    x2+2xy+y2

3.2     Evaluate :  (x-y)2   =    x2-2xy+y2

STEP4:

Pulling out like terms

4.1     Pull out like factors :

  -3mx2 + 10mxy - 3my2  =   -m • (3x2 - 10xy + 3y2)

Trying to factor a multi variable polynomial :

4.2    Factoring    3x2 - 10xy + 3y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x - 3y)•(3x - y)