What is the solution to this system of linear equations?

7x - 2y = -6

8x + y = 3

A.(-6,3)
B.(0,3)
C.(1,-5)
D.(15,-1)
​

Answer:

A) 300 cm2

Step-by-step explanation:

First you have to find height

use Pythagorean theorem: a2 + b2 = c2

[tex]h^{2}+ 8^{2} = 17^{2}[/tex]

h2 + 64 =289

h2 = 289-64

h2 = 225

h= 15

now the area

A = a * h

A = 20 * 15

A = 300 cm2

Answer:

[tex]\large\boxed{A=300\ cm^2}[/tex]

Step-by-step explanation:

The formula of an area of a parallelogram:

[tex]A=bh[/tex]

b - base

h - height

Use the Pythagorean theorem to calculate a height h:

[tex]h^2+8^2=17^2[/tex]

[tex]h^2+64=289[/tex]            subtract 64 from both sides

[tex]h^2=225\to h=\sqrt{225}\\\\h=15\ cm[/tex]

Calculate the area:

[tex]A=(20)(15)=300[/tex]

The volume of the cylinder is 25295.26 cubic meters.

To find the volume of a cylinder, we can use the formula V = π * r^2 * h, where r is the radius and h is the height. Given that the diameter is 34 m, the radius is half of that, which is 17 m. The height is given as 27 m.

Plugging in the values into the formula, we get V = 3.14 * (17^2) * 27. Evaluating this expression, we find that the volume of the cylinder is 25295.26 cubic meters.

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The volume of a cylinder is 25295.26 cubic meters.

To find the volume of a cylinder, use the formula V = πr^2h, where V represents the volume, π is a constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, the diameter of the cylinder is given as 34 m, so the radius is half of the diameter, or 17 m.

The height of the cylinder is given as 27 m. Substitute these values into the formula to calculate the volume.

V = 3.14 × (17^2) × 27

= 25295.26 cubic meters.

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3x+4y-5z=8

1x+0y+2z=-3

4x-3y+0z=6

|`3 4 (-5)`||`x`| |`8`|

| 1 0 2 | |y |=|-3 |

|.4 (-3) 0 .||.z.| |.6.|

so, we have the denominators of 4 and 8, thus our LCD will just be 8, but let's firstly convert the mixed fractions to improper fractions and find their difference.

[tex]\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}~\hfill \stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{11}{4}-\cfrac{15}{8}\implies \stackrel{\textit{using LCD of 8}}{\cfrac{(2)11~~-~~(1)15}{8}}\implies \cfrac{22-15}{8}\implies \cfrac{7}{8}[/tex]

➷ 4 : 3

? : 3 : 2

The overall ratio is:

4 : 3 : 2 for apple trees to pecan trees, to peach trees.

24/2 = 12

12 x 4 = 48

There would be 48 apple trees.

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➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

The ratio of any number should be taken in its simplest form only. If there were 24 peach trees, then 48 apple trees you would have.

If 4 apple trees are planted then 3 pecan trees are planted.

If 2 peach trees are planted then 3 pecan trees are planted.

Therefore, the ratio will be:

Apple Trees        Pecan Trees

     4                             3

Peach Trees         Pecan Trees

     2                             3

Thus, the ratio is 4:3:2.

Two values are equal to 24 peach trees.

One value is equal to the 12 trees.

The value of an apple is 4, therefore the number of apple trees will be 48 trees.  

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Answer:

1.2 pounds

Step-by-step explanation:

As mentioned in the question,

14.4 pounds of foods is distributed among 24 dogs.

Therefore, each dog gets: [tex]\frac{14.4 (pounds)}{24} = 0.6 pounds[/tex]

6 dogs eat only 0.4 pounds, so the amount left:  ( 0.6 - 0.4 ) = 0.2 pounds

Hence, the total food left in the bowls of six dogs = 6 * 0.2 = 1.2 pounds

Answer:

8x³ + 125

Step-by-step explanation:

Cubes:  look for the exponent 3 and for perfect cubes such as 1, 8, 27, ...

8x^3 + 125 is a sum, and 8 is a perfect cube (the cube of 2), and x^3 is a cube, and 125 is a cube.

Thus, the correct answer is 8x^3 + 125 (which is equivalent to

(2x)³ + 5³).

Answer:

Graphic attached

Step-by-step explanation:

The oblique asymptote of the function has the shape of a line of the form

[tex]y = mx + b[/tex]

We need to find the slope m and the intercept b.

The oblique asymptote is found by these two limits:

[tex]m = \lim_{x \to \infty}\frac{f(x)}{x}\\\\b = \lim_{x \to \infty}[f(x) - mx][/tex]

If [tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex] then:

[tex]m = \lim_{x \to \infty} \frac{\frac{(2x+3)(x-6)}{(x+2)(x-1)}}{x}\\\\m = \lim_{x \to \infty} \frac{2x^2-9x-18}{x^3 +x^2 -2x}\\\\m = 0[/tex]

The slope is 0. Therefore the function has no oblique asymptote.

Horizontal asymptote:

[tex]y = 2[/tex]

Vertical asymptote

[tex]x = -2\\x = 1[/tex]

Answer:

[tex]1\frac{1}{4}\ hours[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{(1/4)}{(1/5)}\frac{hour}{paper}=\frac{x}{1}\frac{hour}{paper} \\ \\x=5/4\ hours[/tex]

covert to mixed number

[tex]5/4\ hours=1\frac{1}{4}\ hours[/tex]

choice D is the correct solution

PARALLEL slopes always have the same slope no matter what because they are parallel

The equation of the line that is parallel to y = 5x-4 and passes through the point (3, 4) is y = 5x - 11 because it has the same slope, 5, as the given line depicting parallelism and it passes through the specified point.

In Mathematics, two lines are parallel if their slopes are equal. In this case, the given line is y = 5x - 4, and its slope is 5. To find an equation of a line that is parallel to this line and passes through a specific point, we use the point-slope form of a line, which is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the point through which the line passes.

Replace m with 5 (the slope of the given line), and (x1, y1) with (3, 4) (the point through which the line passes), and we have y - 4 = 5(x - 3). Distributing and simplifying, we get y = 5x - 15 + 4 = 5x -11. Therefore, the equation of the line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.

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[tex]\widehat{DPR}=\frac{1}{2}(\stackrel\frown{ET}-\stackrel\frown{DR}) = \frac{1}{2} (118 - 26) = \frac{92}{2} = 46°[/tex]

➷ cos38 = 79/x

x = 79/cos38

x = 100.2524

The correct option would be 100.25

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Answer:

100.25

Step-by-step explanation:

Using the cosine ration in the right triangle, then

cos38° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{79}{x}[/tex]

Multiply both sides by x

x × cos38° = 79 ( divide both sides by cos38° )

x = [tex]\frac{79}{cos38}[/tex] ≈ 100.25

Answer:

  see below for a graph

Step-by-step explanation:

One point can be plotted at the y-intercept: (0, -2). Since the slope tells you the line drops 3 units for each 2 units to the right, the point (2, -5) will be another point on the line. The graph will go through those two points.

Answer:

[tex](x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]

Step-by-step explanation:

The vertex form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h,k) is the center of the circle and r is the radius. This circle has center (-6.2, 5.8) and r= 4/9. Substitute h = -6.2, k = 5.8 and r = 4/9 into the vertex form. Then simplify for the equation.

[tex](x-h)^2 + (y-k)^2 = r^2\\(x--6.2)^2 + (y-5.8)^2 = \frac{4}{9}^2\\ (x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]

Answer:

x = 35

Step-by-step explanation:

Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.

4x + 20 = 3x + 55

Have x on one side of the equation by subtracting 3x from both sides.

x + 20 = 55

Subtract 20 from both sides of the equation.

x = 35

Answer: second option.

Step-by-step explanation:

By definition, you know that:

[tex]b^0=1[/tex]

You can see in the graph that the interception with the y-axis is at -1.

Therefore, in that point: x=0 and y=-2

Substitute into the function and solve for a:

[tex]-1=a(b)^0\\-1=a(1)\\a=-1[/tex]

Now, choose any point of the function and substitute this point and the value of a into the function and solve for b. Then you obtain:

Point (2,-4)

[tex]-4=-1(b)^2\\\frac{-4}{-1}=b^2\\b=\sqrt{4}\\b=2[/tex]

Answer:

Its B

Step-by-step explanation:

Because it is

On edge

There are 67 total people and 28 people on the swim team.

The probability of picking someone on the swim team would be 28/67 which is equal to 41.8%

Answer:

The probability that a randomly selected person is on the swim team is 41.79%

Step-by-step explanation:

The favorable event will be 28

The total no of event will be 67

So The probability will be  =  [tex]\frac{no of favorable events}{Total no of event}[/tex]

                                           =  [tex]\frac{28}{67}[/tex]

                                           =  41.79%

Thus the probability that a randomly selected person is on the swim team is 41.79% .

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23.5 hours is the anser yeteressdfdsfsjufrhhmrgijfjfxkjvnrtjeigrjiegre

Answer:

do u know the answer??

i think it is The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245%.

Step-by-step explanation:

The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have a table in which the x, and f(x) data are shown.

As we can see the value of f(x) is increasing rapidly for every x.

The exponential function is:

y = a(1+r)×

After plugging all points and finding the value of a and r

y = 6.9402(2.4495)×

The exponential growth factor = 1 + r = 2.4495 ≈ 2.45 or 245%

Thus, the function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.

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Answer:

3100ft

Step-by-step explanation:

There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.

Answer:

3,100 ft^2

Step-by-step explanation:

Answer:

  3 ft by 7 ft

Step-by-step explanation:

Try the solutions and find the one that works.

  3.5 × 6 — area OK, perimeter = 19 ft

  4 × 6 — area = 24 ft², perimeter OK

  3 × 7 — area OK, perimeter OK

  3.5 × 7 — area 24.5 ft², perimeter 21 ft

___

The perimeter is the sum of the four side lengths; the area is the product of two adjacent side lengths.

Answer:

x= 22/15

Step-by-step explanation:

20x-11=5x+11

20x-5x=11+11

15x=22

Answer: Ben could ask his peers or a trusted adult for help, or Ben could use reliable sources to help him with any questions he might have. Ben could also try his best, if he doesn't get a good grade at least he doesn't have a missing assignment.

Step-by-step explanation:

First you need to rewrite the equation in the form y = mx +b:

2y = x-4

Divide all terms by 2:

2y / 2 = x/2 - 4/2

Simplify:

y = 1/2x - 2

The slope of the line is 1/2.

A perpendicular line has a slope of the negative reciprocal, which would be -2.

Now using the point slope method:

y - y1 = m(x-x1)

Using the given point of (8,-4) and m = -2

you get:

y +4 = -2(x-8)

Simplify:

y +4 = -2x +16

Now subtract 4 from both sides to get the final equation:

y = -2x +12

Answer:

49.6 square meters

Step-by-step explanation:

first, circumference is 2*pi*r, so we want to find r.  so we take 2*pi*r=24.8 and solve for r which is 4.

Now, area is pi*r^2 so pi*4^2 = pi*16 = 49.6

Answer:

The number of goats in the farm is [tex]74[/tex]

The number of sheep in the farm is [tex]63[/tex]

Step-by-step explanation:

Let

x----> the number of goats in the farm

y----> the number of sheep    

we know that

[tex]x+y=137[/tex] ----> equation A

[tex]x=y+11[/tex] -----> equation B

substitute the equation B in equation A and solve for y

[tex](y+11)+y=137[/tex]

[tex]2y=137-11[/tex]

[tex]2y=126[/tex]

[tex]y=126/2=63[/tex]

Find the value of x

[tex]x=63+11=74[/tex]

therefore

The number of goats in the farm is [tex]74[/tex]

The number of sheep in the farm is [tex]63[/tex]

Answer:

The answer is A. 48 divided by 3 equals 16. Therefore, if you earn $48 for 3 hours, then you are earning $16 per hour.

Step-by-step explanation:

Hey there!

The correct answer is A. $48 for 3 hours

I figured this out by multiplying 16 by 3 which equals 48

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

5 cm by 5 cm

Step-by-step explanation:

The perimeter of this rectangle is 20 cm, and the relevant formula is

P = 20 cm = 2W + 2L.  Then W + L = 10 cm, or W = (10 cm) - L.

The area of the rectangle is A = L·W, and is to be maximized.  Subbing (10 cm) - L for W, we get A = L[ (10 cm) - L ], or A = 10L - L²

Note that this is the equation of a parabola that opens down.  With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is

x = -b / (2a).  Subbing 10 for b and -1 for a, we get:

x = -[10] / [2·(-1)] = 10/2, or 5.

This tells us that one dimension of the rectangle is 5 cm.

Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:

20 cm = 2(5 cm) + 2W, or

10 cm = W + 5 cm, or W = 5 cm.

Thus, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.

The dimensions that give the maximum area is 5 cm by 5 cm.

Given:

The perimeter of this rectangle is 20 cm, and formula for perimeter is

P= 2(W+L)

P = 20 cm = 2W + 2L.  

Then W + L = 10 cm,

or W = (10 cm) - L.

The area of the rectangle is A = L·W, and is to be maximized.  

On substituting the values, we get A = L[ (10 cm) - L ], or A = 10L - L²

Note that this is the equation of a parabola that opens down.  With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is

x = -b / (2a).  Subbing 10 for b and -1 for a, we get:

x = -[10] / [2·(-1)] = 10/2, or 5.

This tells us that one dimension of the rectangle is 5 cm.

Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:

20 cm = 2(5 cm) + 2W, or

10 cm = W + 5 cm, or W = 5 cm.

Therefore, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.

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Answer:

Step-by-step explanation: