Solve the following system of equations using either Gaussian elimination or a matrix. Write your answer as a point and explain how you would check your work:

Answer:

Step-by-step explanation

x1 = X sub-one, y1 = Y sub-one, x2 = x sub-two, y2 = y sub-two

Midpoint Formula

M (x1 + x2/2, y1 + y2)/2)

-4 = x1, 5 = y1 and 5 = x2, -3 = y2

L(-4,5) and N (5,-3)

-4 + 5/2 = 1/2 or 0.5

5 + (-3)/2 = 2/2 = 1

Midpoint : (1/2, 1)

Answer:

33000

Step-by-step explanation:

To estimate the product of two numbers, round the individual numbers to numbers that you can multiply mentally.

Round 298 to the nearest hundred → 300.

(We don't need to round 110 as it is a multiple of 10, and therefore easy to multiply mentally).

Therefore,

⇒ 110 × 298 ≈ 110 × 300

To multiply 110 by 300, separate the 110 into 100 + 10:

⇒ 110 × 300 = (100 + 10) × 300

Apply the distributive property of multiplication:

⇒ (100 + 10) × 300 = 100 × 300 + 10 × 300

To multiply a number by 100, add two zeros.

To multiply a number by 10, add one zero.

Therefore:

⇒ 100 × 300 + 10 × 300 = 30000 + 3000 = 33000

Check

110 × 298 = 32780

32780 rounded to the nearest thousand is 33000.

For t = 0.8 seconds and t = 7 seconds, the height of the rocket will be 28 m.

We are given that:

Initial velocity of the rocket = 39 m / s

Time = t seconds

h = 28 m

The equation of relationship between height and time is given as:

h = 39 t- 5 t²

Substituting the value of h is the equation, we get that:

28 = 39 t - 5 t²

5 t² - 39 t + 28 = 0

Using middle term splitting to find the values of t, we get that:

5 t² - 35 t - 4 t + 28 = 0

5 t ( t - 7 ) - 4 ( t - 7 ) = 0

(5 t - 4 ) ( t - 7 ) = 0

5 t - 4 = 0 and t - 7 = 0

5 t = 4 and t = 7

t = 0.8 and t = 7.

Therefore, for t = 0.8 seconds and t = 7 seconds, the height of the rocket will be 28 m.

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Your question was incomplete. Please refer the content below:

A model rocket is launched with an initial upward velocity of 39 m/s. The rocket's height (in meters) after t seconds is given by the following.

h = 39 t- 5 t²

Find all values of t for which the rocket's height is 28 meters. Round your answer(s) to the nearest hundredth.

Answer:

angle 1 = 6°
angle 2 = 84°

Step-by-step explanation:

since these 2 angles form 90°, they're called complementary

so when they're added they give 90°

x-6°+7x=90°, then we collect the like terms

x+7x=90°+6°, 8x=96°, divide both sides by 8 so we can get x

x=96/8, x=12, so now we substitute 12 in x so we can get the angles

FOR ANGLE 1:

12-6=6°

FOR ANGLE 2:

7(12)=84°

hope it helped, if it did mark me brainliest

Answer:

Here is your answer: 36 Now create an equation using the values below:A =0 B=1C=2D=3E=4F=5G=6H=7K=8L=9M=10N=11

example: If the answer is 12, there are several possible equations:

2D+G=12 , 2(3)+6=12

4C+H-D , 4(2)+ 7-3

  D(2C) , 3(2 x 2)

Step-by-step explanation:

Answer:

  l(k +g +f +d +c -h -b -a)(n -m)/e = 36

Step-by-step explanation:

You want to use the numbers 0 through 11 to create an equation that evaluates to 36.

We will create an equation that simplifies to 4×9 = 36. This will make use of the identity properties of multiplication and addition, and will use the fact that 16/4 = 4.

9 = 9×1 = 9×(11 -10) = l(n-m)

0 = 8 -8 = (8 -7 -1 - 0) = k -h -b -a

16 = 8 +8 = 6 +5 +3 +2 = g +f +d +c

Then the whole expression becomes ...

  (16 +0)/4×9 = (g +f +d +c +k -h -b -a)/e×l(n -m) = 36

Answer:

1/4

32%

0.4

Step-by-step:

1/4 = 0.25

32 = 0.33

0.4 = 0.40

The value of B is -7 and no decimal number.

So, in the sequence:

We can easily say that the value of B will be -7 and no decimal number.

So,

Therefore, the value of B is -7, and no decimal number.

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Properties of pure substances:

Properties of mixtures:

Pure substances:

Each homogenous mixture contains only pure substances. No matter how tiny the sample size, these chemicals primarily have a stable or comparable composition throughout. Water, steel, and iron are a few examples of pure materials.

Mixtures:

In chemistry, a mixture is a compound made up of two or more simpler substances. These substances may be chemical elements or compounds. You can create a mixture of gases, solids, or liquids. For instance, when sugar is added to water, it first forms a mixture before dissolving to produce a solution.

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(a) The value of f(83) is 5.

(b) It may or may not happen.

(c) The value of f(95) is 9.

Here, the height of the bar gives the marks at that particular point.

From the observations we can see,

(a) The interval 80-85 marks is point at the mark of 5. It means that there are 5 students who has scored in the interval of 80-85.

So, as are function is the exam score to the height of the bar whose interval contains that score.

Hereby, our value of f(83) will be equal to 5.

f(83) = 5.

(b) As, the marks are distributed over an interval. It can't be said that if any students scored exactly 83 marks or not. But the conclusion that we can draw is, that these 5 particular students have scored between 80-85 for sure.  

(c) The value of f(95) is equal to 9. as we can see that the interval is distributed in such a way that a group of five students is formed. and the last part of the interval is not included in the next interval. The interval here forms a pattern like this,

91-95, after that 96-100.

So here the value of f(95) will be 9.

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The measure of the angle is 72°, its supplement is 108° and its compliment is 18° .

A pair of supplementary angles is defined as two angles which add up to 180°. They are also called linear pair.

A pair of angles which add up to 90° is called complimentary angles.

let us consider the given angle be x .

Compliment of given angle=90°- x

Supplement of the given angle=180°-x

The supplement is 6 times the compliment .

Therefore we can construct a linear equation of the form:

6(90°- x)=180°-x

or, 540°-6x=180-x

or, -6x+x=180-540

or, -5x=-360

or, x=72

Hence the angle is 72°

Compliment of 72°=90°-72°=18°

Supplement of 72°=180°-72°=108°

Therefore the required angle is 72°, its supplement is 108° and its compliment is 18° .

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Answer:

Substitute d=25 to the formula and use a calculator to evaluate: s=18(25 s=450 s~21,2132... Truncated to the tenths place, we have: s~21.2 miles per hour.

Step-by-step explanation:

An equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.

An equation is a mathematical statement that claims that two mathematical expressions are equal.

An equation contains the equation symbol (=).

The number of bottles in his office = 17 bottles

The total number of bottles required = 350 bottles

The total number of additional bottles of water required, y = 333

1 case of water bottles = 24 bottles

The equation to show the additional cases required is y = 24x - 3, where y = 333 bottles and x = 14.

Check:

y = 24x - 3

333 = 24(14) - 3

333 = 336 - 3

333 = 333

Thus, an equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.

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Answer:

Rent-A-Truck-> 59.95+0.49m=c

Sam's U-Drive-> 81+0.38m=c

Carl is outworked by Theresa in a given year.

What is work?

According to physics a push or pull in any substance which produces any displacement is called work. Activity in which one exerts strength or perform something or an activity that a person engages in regularly to earn a livelihood people looking for work.

Given:

Working day of Theresa/month=16

Working day of Carl/ month=20

Distance covered by Theresa in month= 56 miles round trip

Distance covered by Carl in month=56 miles round trip

Calculation

Distance covered by Theresa in month=56*2

Distance traveled by Theresa in a year=112*12

Distance traveled by Theresa in a year=1344 miles

Distance covered by Carl in month=112 miles

Distance traveled by carl in a year=112*11

Distance traveled by carl in a year=1232 miles

As the distance covered by Theresa is more than carl.

So Theresa travel more distance.

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The length and width of the screen is 9.71 inch and 12.71 inch.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Area of triangle = Length * Width

Let L be the length and W be the width of the rectangle.

Now it is given that,

Dimensions of a rectangular monitor screen are, its length is 3 in. more than its width.

⇒ L + 3 = W  

Therefore area is given as,

A = L * W

Put the value of W we get,

A = L * (L + 3)

Now, If the length were doubled and if the width were decreased by 1 in, the area would be increased by 104 in^2

Length = 2L

Width = W - 1

Thus area becomes,

A' = 2L(W - 1)

Now, the area would be increased by 104 in^2

A' = A + 104

Putting the value of A in A' we get,

A' = L * (L + 3) + 104

Now putting the value of A' we get,

2L(W - 1) = L * (L + 3) + 104

Expanding we get,

2LW - 2L = L^2 + 3L + 104

Since L + 3 = W  

Thus, putting W in above we get,

2L(L + 3) - 2L = L^2 + 3L + 104

Expanding the brackets we get,

2L^2 + 6L - 2L = L^2 + 3L + 104

Solving we get,

2L^2 + 4L = L^2 + 3L + 104

Taking all the terms together we get,

2L^2 + 4L - L^2 - 3L - 104 = 0

Solving alike terms we get,

L^2 + L - 104 = 0

Solving the above equation we get,

L = 9.71 inch, -10.71 inch

Since, Length cannot be negative

Thus,

L = 9.71 inch

Put the value of L in W we get,

9.71 + 3 = W  

⇒ W = 12.71 inch

Thus the required value of length and width is,

Length = 9.71 inch

Width = 12.71 inch

Thus, the length and width of the screen is 9.71 inch and 12.71 inch.

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Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать vvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать      

=3

For the given function, the value of h(t)=\t+2\+3 is for f(6) = 7

A function is a means to explain what takes place with an input variable to produce an output result. We may find a set of output values if we consider a straightforward function, like multiply by three. Algebra can be used in place of Function = multiply by 3.

Before the t and after the 2, I'm going to presume that's an absolute value sign.

Absolute value brackets are treated similarly to parentheses, with the exception that the negative sign is removed once the contents have been thoroughly simplified. (If you still have variables, don't do that.)

In this instance, t equals 6 plus 2 equals 8. 8 has an absolute value of 8. Add 3 is 11.

so,

h(6) = 11.

2 + -6 equals -4. 4 is -4's absolute value. Add 3 is 7.

so,

h(-6) is 7.

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Answer:

distance = 13

Step-by-step explanation:

The formula used to calculate the distance between two points given their coordinates is:

[tex]\boxed{\mathrm{distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}[/tex],

where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the given coordinates.

In this question, we are given the coordinates (8, -4) and (3, 8).

Using these coordinates and the formula above, we can calculate the distance between the points:

[tex]\mathrm{distance = \sqrt{(3 - 8)^2 + (8- (-4))^2}}[/tex]

             [tex]= \sqrt{(-5)^2+(12)^2}[/tex]

             [tex]= \sqrt{25 + 144}[/tex]

             [tex]= \sqrt{169}[/tex]

             [tex]= \bf 13[/tex]

Therefore, the distance between the two points is 13 units.

========================================================

Work Shown:

(4 miles)/(30 minutes) = (x miles)/(48 minutes)

4/30 = x/48

4*48 = 30x

30x = 4*48

x = 4*48/30

x = 6.4

Answer:

Step-by-step explanation:

64 / 0.16 = 400 square cm

The equation, in point-slope form, matches the graphed line shown is y + 2= 0.8(x - 2)

The points on the line are given as

(-3, -6) and (2, -2)

Calculate the slope (m) of the line using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (-2 + 6)/(2 + 3)

Evaluate

m = 0.8

The linear equation is then represented as

y - y1 = m(x - x1)

So, we have

y + 2= 0.8(x - 2)

Hence, the equation, in point-slope form, matches the graphed line shown is y + 2= 0.8(x - 2)

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Answer:

) What is the value of x in the following simplification problem?

45% of 600 + x% of 480 = 390. A/ 30

B/ 20

C/ 25

D/ 40

40) The s

Answer:

Step-by-step explanation:

An arithmetic sequence also known as arithmetic progression is a sequence of numbers in which the difference between consecutive terms are always the same  eg 1 5 9 13 17 , the difference is always 4

so THE ANSWER TO YOUR QUESTION IS B

Answer:

In the expression

[tex] {x}^{2} - 11x + 10[/tex]

a in the formula will be substituted for 1

b in the formula will be substituted for -11

c in the formula will be substituted for 10

Based on the number, 98.48, the number you need to multiply by to get rid of the decimal is 100.

The number that you multiply a number with if you want to remove the decimal has to be a power of 10. The power of 10 used will depend on the number of figures after the decimal.

If there is a single number after the decimal point, then multiply by 10.

If there are two numbers after the decimal point, multiply by 100.

If there are three numbers after the decimal point, multiply by 1,000.

In the case of 98.48, there are two number after the decimal point so you'll multiply by 100 to get:

= 98.48 x 100

= 9,848

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Step-by-step explanation:

the cost for n shirts is c=15+9(n-1)

c=15+9n-9 simplify

c=9n+6

n represents the number of shirts

so for the cost of 2 shirts, n=2

c=9(2)+6

c=24

therefore it costs $24 for 2 shirts

for the cost of 5 shirts, n=5

c=9(5)+6

c=51

therefore the cost of 5 shirts is $51

1 shirt = $15

2 shirts =$24

3 shirts =$33

24-15 =9

33-24=9

so 9 is the common difference which means each additional shirt is $9 more than the price of all the previous shirts

Answer:

О   [tex]\frac{5^{4} }{3^{10} }[/tex]

Step-by-step explanation:

(5⁻² * 3⁵) ⁻²

= 1 / (5⁻² * 3⁵)²

= 1 / ((5⁻²ˣ²)(3⁵ˣ²))

= 1 / ((5⁻⁴)(3¹⁰))

= 5⁴ / 3¹⁰