which matrix can be used to solve the system

Answer:

GH=12

Step-by-step explanation:

Definition of a perpendicular Bisector: a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.

Therefore it divides the line GI into two equal parts. That means that GH=HI and it was given that HI=12.

Answer:

g-1(x)=5×-9, (g-1g) (1)=1, h-1(3)= -

Step-by-step explanation:

Answer:

7/6=2/7/6

7/6=2

7/6=27/6

7/6=2

7/6

Answer: The second table.

Step-by-step explanation: The y coordinates are getting smaller over time, so I believe the second one would be the correct answer. I hope this helps!  :)

Answer:

put 1/2as a value of x in the equation and then solve .then the answer will be -1

Answer:

[tex]C.\ f\left( \frac{1}{2} \right) =-1[/tex]

Step-by-step explanation:

[tex]f\left( x\right) =\frac{\sqrt{2x+3} }{6x-5}[/tex]

In order to calculate f(1/2) ,all we have to do

is replacing x by 1/2 in the expression of f.

Then

[tex]f\left( \frac{1}{2} \right) =\frac{\sqrt{2\left( \frac{1}{2} \right) +3} }{6\left( \frac{1}{2} \right) -5 }[/tex]

        [tex]=\frac{\sqrt{1+3} }{3-5}[/tex]

        [tex]=\frac{\sqrt{4} }{-2}[/tex]

        [tex]=\frac{2}{-2}[/tex]

        [tex]=-1[/tex]

Answer:

110

Step-by-step explanation:

Suppose lines EH and BD are parallel:

Angle <GFE and angle <ABC are supplementary so their sum is equal to 180

2x + 10 + x  + 20 = 180 add like terms

3x + 30 = 180 subtract 30 from both sides

3x = 150 divide both sides by 3

x = 50

We are asked the value of <ACD

<ABD and <ACD are also supplementary so we can find the value od <ACD:

x + 20 + <ACD = 180 we know x = 50 so we can replace x with that

50 + 20 + <ACD = 180

70 + <ACD = 180 subtract 79 from both sides

<ACD = 110

Answer:

Domain: [1, infinity)

Range: All real numbers or (- infinity, + infinity)

Step-by-step explanation:

Hope this helps

Answer:

no solution

Step-by-step explanation:

| | is a notation for absolute value, which is the distance that a number is from 0.

you can think of this as the "positive version" of a number

so, |-x| will become: x

We can plug this into the equation, and solve like we would for any variable

3 + 7 = 6 - |-x|  {simplify}

3 + 7 = 6 - x   {simplify}

10 = 6 - x

Now, we can isolate x (isolate = get it alone)

10 = 6 - x

-6     - 6    {subtract 6 from both sides}

 4 = -x         {multiply both sides by -1 to get positive x}

·-1   ·-1

- 4 = x

{check solution:}

3 + 7 = 6 - | -4 |

10 = 6 - 4

10 = 2

FALSE

because this solution has been found to be false, there is no possible value for x

we write this as: no solution

[tex]3+7=6-|-x|\\10=6-|x|\\|x|=-4\\x\in\emptyset[/tex]

Answer:

Perimeter of rectangle2 =  k × perimeter of rectangle 1

area of rectangle 2  =  k² × area of rectangle 1

Step-by-step explanation:

• rectangle 1 :

Length x

Width y

perimeter1  =  2×(x + y)

area1  = x × y

……………………

•• rectangle 2 :

Length kx

Width ky

Perimeter2  =  2×(Kx + ky)

area2  = kx × ky

……………………………………………

therefore,

Perimeter of rectangle 2

= 2×(Kx + ky)

= 2×k×(x + y)

= k×2×(x + y)

= k × perimeter of rectangle 1

On the other hand,

area of rectangle 2

= Kx × ky

= k×k×(x × y)

= k²×(x × y)

= k² × area of rectangle 1

Answer: 180 degrees

Step-by-step explanation:

A rotation of 180 degrees about the origin maps [tex](x,y) \longrightarrow (-x, -y)[/tex].

Answer:

180

Step-by-step explanation:

took the test

Answer:

3.33, or 3 1/3

Step-by-step explanation:

Expected value:

[tex](9 \times \frac{2}{9} ) + (12 \times \frac{1}{9} ) = 2 + \frac{4}{3} = 2 + 1 \frac{1}{3} = 3 \frac{1}{3} [/tex]

The corollary of the statement tends that its not the Poisson experiment.

It is a statistical approach to follow properties that The experiment outcomes that can be opted as successes or failures. That gives a outcome in a specified region is known in average number of successes i.e. (μ).

The probability of a given task is not a Poisson experiment because the mean number of successful  outcomes in its domain neither constant nor given.

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Answer:

x = | 1 |

Step-by-step explanation:

how are u in college doing this???

Answer:

1

Step-by-step explanation:

(x+8)=9

x+8=9

x=9-8

x=1

Answer:

the answer is D

Step-by-step explanation:

The graph is shown in the attached image.

97.5% of American women have shoe sizes that are no more than 11.47.

Lets try to solve the question,

Given values ,

Dev (u) = 8.47

Standard deviation (x) = 1.47

So we e have to find the percentage of American women whose shoe size's are not more than 11.47 P(x<11.47).

Lets find z score by using empirical formula.

=> [tex]z= (x-u) / a[/tex]

=> [tex]11.47-8.47/1.5[/tex]

=> [tex]z= 2[/tex]

Now we have to find [tex]P(z < 2)[/tex] . Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.

Therefore the 97.5% of American women have shoe sizes that are no more than 11.47.

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Answer:

the answer is 64

Step-by-step explanation:

now atleast mark me brainliest answer

Part 1: Finding radius

The radius of a circle is defined as the distance from the center to a point on the circle's circumference.

Using the distance formula,

[tex]r=\sqrt{(-7-8)^{2}+(-1-7)^{2}}=\boxed{17}[/tex]

Part 2: Finding the point with x-coordinate -15

Let the y coordinate of the point be y. Then, we have the point (-15, y). Substituting into the distance formula,

[tex]\sqrt{(-15-(-7))^{2}+(-1-y)^{2}}=17\\\\64+(-1-y)^{2}=289\\\\(-1-y)^{2}=225\\\\-1-y =\om 15\\\\y=\boxed{-16, 14}[/tex]

Answer:

Step-by-step explanation:

Answer:

11/4 Pi

Step-by-step explanation:

because 1.= 70/180.       (180.=Pi)

so 495 x 70/180

=11/4 Pi

Answer:

The correct answer is B, the second option

Step-by-step explanation:

(-2, 5/3)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

The zeroes of the function will be [tex]\rm -1 \pm \dfrac{\sqrt{78}}{6}}[/tex]

A quadratic function is given by ax² +bx+c = f(x)

The given quadratic function is

f(x) = 6x² +12x - 7

The zeroes of the function will be given by

f(0) = 0

6x² +12x - 7 = 0

The zeroes are given by

[tex]\rm \dfrac {-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

here

a = 6

b = 12

c = -7

Therefore the zeroes of the function will be

[tex]\rm \dfrac {-12 \pm \sqrt{12^2 -4*6*(-7)}}{2 *6}[/tex]

[tex]\rm \dfrac {-12 \pm \sqrt{312}}{12}[/tex]

[tex]\rm -1 \pm \dfrac{\sqrt{78}}{6}}[/tex]

Therefore these are the two zeroes of the function.

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Answer: [tex]x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(-3)(6)}}{2(-3)}[/tex]

Step-by-step explanation:

a = -3 , b = -2, and c = 6.

The correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the quadratic formula is

x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).

The correct option is A.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

To use the quadratic formula with the equation 0=-3x² - 2x + 6, we need to substitute the values of a, b, and c into the formula.

In this case, we have:

a = -3

b = -2

c = 6

Substituting these values into the quadratic formula, we get:

x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3))

Simplifying this expression, we get:

x = (2 ± √(4 + 72)) / (-6)

x = (2 ± √76) / (-6)

We can simplify further by factoring out the square root of 4 from the radical:

x = (2 ± 2√19) / (-6)

Therefore, the required value of x is x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).

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Answer:

Step-by-step explanation:

1/8

The value of the composite function f(g(x)) is 5x + 2

Composite functions are functions inside another function. Given the following functions:

f(x) = 5√x+1 - 2

g(x) = x² - 1

Determine the composite function f(g(x))

f(g(x)) = f(x² - 1)

f(x² - 1) = 5√x² - 1+1 - 2

f(x² - 1) = 5√x² + 2

f(x² - 1) = 5x + 2

Hence the value of the composite function f(g(x)) is 5x + 2

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Answer:

P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)

Step-by-step explanation:

As we know that, if A and B are two events then

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)

Answer:

According to the graph, g(x) is stretched by what seems to be 5, so g(x) is (x^2) / 25. (Square the stretching/compressing factor so 5^2 became 25). We also divide x^2 by this because it is being stretched. You multiply if it's being compressed.

You can check this by plugging 5 for x and trying to get 1.

g(x) = x^2 / 25

g(5) = 5^2 / 25 --> 25/25

g(5) = 1

g(x) = (x^2)/25

The height of the tree to the nearest tenth of a meter is 73.7m

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

Given:

base = 13 m

angle of elevation = 53

Using trigonometry

tan 53 = P/B

5.671 = P/ 13

P= 5.671 * 13

P= 73.723

Hence, the height of the tree is 73.7 m.

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