Solve the system using the linear combination method.
(−3x + 9y 36
4x + 12y
24
(3, 3)
(-3, -3)
(-3, 3)
(3, -3)

The required equation in slope intercept form is given by y = 8x + 36.

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
Points are (-4,6) and (-5,-2)

The slope of the line is given as,

M = (y₂ - y₁) / (x₂ - x₁)

m = -2 - 6 / -5 + 4
m = -8/-1
m = 8

Now,
The Equaiton of the line is given as,
y - y₁ = m (x - x₁)
y - 6 = 8 (x + 4)
y = 8x + 32 + 6
y = 8x + 36

Thus, the required equation in slope intercept form is given by y = 8x + 36.

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The final equation of the tangent line is y = 3x - 1.

The first step is to find the derivative of the function f(x), which is f'(x) = 2x + 3. Since we need the equation of the tangent line at x=0, we can substitute x=0 into the derivative to get the slope of the tangent line, which is f'(0) = 3.

To find the y-intercept of the tangent line, we can substitute x=0 into the original function f(x) and get f(0) = -1. Therefore, the equation of the tangent line at x=0 is y = 3x - 1.

In summary, to find the equation of the tangent line to the curve f(x) = (x²+3x-1) at x=0, we need to find the derivative of the function, substitute x=0 into the derivative to find the slope of the tangent line, and then find the y-intercept of the tangent line by substituting x=0 into the original function.

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Answer:

tygfdxfcghjiuhytfdszxcvbhnjkl;kjhgfzxfghjkl

Step-by-step explanation:

Answer:

the experimental probability is that the coin must land on heads 5 times if flipped ten times, but theoretically, the coin may land as much as 10 times on heads if flipped 10 times

Three consecutive even integers can be written with difference of two.

The even integers are defined as the numbers that are completely divisible by two. The complete division means that the result of division will be zero. The even integers are always present after a gap of one number in between.

This means that there is a difference of two numbers between integers. Firstly of all, the first even number is two. Following it four. There is a gap of number that is three. Hence, to find the consecutive even integers, add number two to the number.

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Answer:

3004 square feet

Step-by-step explanation:

  2

(2    )   +3000

2x2+3000

4+3000

3004

SOLUTION

From the question, we are given

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

But writing the forces in vector form, we have

Applying the formula above, we have

Now, theta becomes

hence the answer is option B, 53 degrees

SOLUTION

From the question, we are given

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

But writing the forces in vector form, we have

Applying the formula above, we have

Now, theta becomes

hence the answer is option B, 53 degrees

Answer:

B y= 4.50x + 5.00

Step-by-step explanation:

4.50 is the “mx” in y=mx+b also known as the Slope that moves.

the 5 is the ”b” which is the y-intercept. It is a constant and does not change.

Answer:

197.82 m^2

Step-by-step explanation:

The area of a circle is

a = πr^2  The radius is half of the diameter.  They give us the diameter so we need to talk half of that number to use for the diameter.  The diameter is the length from the center of the circle to the edge of the circle.

We will find the area of the big circle and  subtract out the area of the little circle to bind the blue area.

Outer circle

a = πr^2

a = 3.14(12)^2

a = 3.14(144)

a = 452.16

Inner Circle:

a = πr^2

a = 3.14(9)^2

a = 3.14(81)

a =254.34

Lastly, subtract 254.34 from 452.16 to get  197.82

Answer:

D. 20

Step-by-step explanation:

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

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4/15 + 1/9 = 12/45 + 5/45 = 17/45

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

A

Step-by-step explanation:

\(\pi\)≈3.14

3x3.14=9.42

9.42>9

Regular hexagon ABCDEF is inscribed in a circle with center H, the image of segment BC after 120 degree clockwise rotation about point H is the segment joining the points B' and C', which has endpoints (-0.5r\(\sqrt{3\), -0.5r) and (-0.5r, -0.5r).

Since the hexagon is inscribed in a circle with center H, we can conclude that H is also the center of the circle passing through vertices B, C, and D. Therefore, the circle passing through B, C, and D is also a 120 degree clockwise rotation of the circle passing through A, B, and C.

To find the image of segment BC after a 120 degree clockwise rotation about point H, we need to find the coordinates of B and C relative to H, and then apply a 120 degree rotation matrix to these coordinates.

Let the radius of the circle be r, and let the coordinates of H be (0,0). Then the coordinates of B and C are:

B: (r cos(60), r sin(60))

C: (r cos(0), r sin(0)) = (r, 0)

To apply a 120 degree clockwise rotation matrix, we can use the following matrix:

[ cos(-120) -sin(-120) ]

[ sin(-120) cos(-120) ]

Simplifying, we get:

[ cos(120) sin(120) ]

[ -sin(120) cos(120) ]

Applying this matrix to the coordinates of B and C, we get:

B': [ cos(120) sin(120) ][ r cos(60) ] = [ -0.5r \(\sqrt{3}\)]

[ -sin(120) cos(120) ][ r sin(60) ] [ -0.5r ]

C': [ cos(120) sin(120) ][ r ] = [ -0.5r ]

[ -sin(120) cos(120) ][ 0 ] [ -0.5r ]

Therefore, the image of segment BC after a 120 degree clockwise rotation about point H is the segment joining points B' and C', which has endpoints (-0.5r\(\sqrt{3}\), -0.5r) and (-0.5r, -0.5r), respectively.

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Answer:

above is the answer to the question

Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.

This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by  After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.

Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.

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The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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Answer:

Step-by-step explanation:

2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538

The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32

But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)

fyi the link is without spaces

Answer:

x = 5

Step-by-step explanation:

Equating the terms :

Add 2 on both sides :

Subtract x from both sides :

Let's see

Make them equal and solve for x

Answer:

\(9909^2\\\)

or

\(98188281\)

so what im wondering is, is this different questions or together if together the answer is 51.439 if different (7 square root 2)=9.89 (3square root 3)= 5.916

The value of number that will make x² + 2x a perfect square trinomial is 1

The value that will make x² -20x a perfect square trinomial is 100

The value that will make x² + 5x a perfect square trinomial is 6.25

An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form ax 2 + bx + c is said to be a perfect square, if and only if it satisfies the condition b 2 = 4ac.

To find the perfect square , we divide b by 2 and Square it. that will give us the value of c.

As quadratic equation is given as

ax²+bx +c = 0

for x²+2x

b= 2

b/2 = 1

b² = 1² = 1

therefore c = 1

for x²- 20x

b = -20

b/2 = -20/2 = -10

b² = (-10)² = 100

therefore c = 100

for x²+5x

b = 5

b/2= 5/2 = 2.5

b² = 2.5²

b² = 6.25

therefore c = 6.25

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The length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm

Rhombus is a special type of parallelogram in which all four sides are congruent. The opposite angles of a rhombus are also congruent, and the diagonals bisect each other at right angles.

Now, let's consider the given rhombus abcd, where ad = 8cm and m∠ade=20°. We need to determine the length of diagonals ac and bd.

First, let's use the law of cosines to find the length of side ae. We know that ad = 8cm, and m∠ade=20°, so we can use the formula:

ae² = ad² + de² - 2ad(de)cos(m∠ade)

Substituting the values, we get:

ae² = 8² + de² - 2(8)(de)cos(20°)

Next, we can use the fact that a rhombus has all sides congruent to find the length of side de. Since abcd is a rhombus, we know that ac and bd are also congruent diagonals that bisect each other at right angles. Therefore, we can draw diagonal ac and use the Pythagorean theorem to find the length of ac:

ac² = (ae/2)² + (de/2)²

Substituting ae² from the previous equation, we get:

ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²

Simplifying the equation and using the fact that ac and bd are congruent, we get:

bd² = ac² = (8² + de² - 2(8)(de)cos(20°))/2

Finally, we can use the Pythagorean theorem to find the length of diagonal bd:

bd² = ab² + ad²

Substituting ab = ac/2 and ad = 8cm, we get:

bd² = (ac/2)² + 8²

Substituting ac² from the previous equation, we get:

bd² = ((8² + de² - 2(8)(de)cos(20°))/8)² + 8²

Simplifying the equation, we get:

bd ≈ 12.22 cm

Similarly, we can solve for ac using the equation we derived earlier:

ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²

Substituting de ≈ 9.84cm (which we can solve for from the equation ae² = 8² + de² - 2ad(de)cos(m∠ade)), we get:

ac ≈ 15.58 cm

Therefore, the length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm

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Answer:

3

Step-by-step explanation:

because 3 square 3 gives 27

Answer:

hope it helps

Step-by-step explanation: