7x - y = 6
-7x + y = -6

The graph of both plots would be the one graph in option C.

Combined area = 2(area of one rectangular plot) = 720 sq. yds.

Area of a rectangular shape = length × width

From the graph given, 1 unit represents 20 yards. Therefore:

Therefore, the graph of both plots would be the one given in option C.

The plot is rectangular in shape having 60 yards × 60 yards. Therefore:

Area of 1 plot = length × width = 60 × 60 = 360 square yards.

Combined area = 2(area of one rectangular plot) = 2(360) = 720 sq. yds.

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Answer with step-by-step explanation:

The distance between Rockville and San Jose is 2407.2. Since there are 63360 inches in a mile, we divide it by 2, which is 31680. We multiply 2407.2 by 31680, and get 76260096.

100% is equal to 1

Subtract 100% to see how much bigger 2.67 is than 1

(We know it is an increase since it is bigger than 1)

2.67 -1 = 1.67

Change to percent form

1.67 * 100%

167% increase

Answer: 65%

Step-by-step explanation: *using the butterfly* x over 100 equals 3237 over 4980. multiple to get 4980x=323700. divide to get x by itself. x=65

Answer:

53.85%

Step-by-step explanation:

The percentage increase from 3237 to 4980 is 53.85%.

The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).

The component form of a vector is known to be depicted as < x, y >.

Note that:

x  - tells the distance or how far to the right or left, a vector is known or seen to be going.

y -  tells the distance or how far to  the upper part or downward a vector is known or seen to be going.

From the question and looking at the image attached, we were able to obtain (-4,4) and (2, 0)

So:

⇒  (-4,4)  --------(-4+6)(4-4)-------(2,0)

⇒ (6,-4)

Hence, The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).

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The given triangle is an acute triangle and this can be determined by using the distance formula and the Pythagorean theorem.

Given :

Coordinates of triangle are --- J(-7, -7), K(-9, 1), L(-1, -1)

The following steps can be used in order to classify the given triangle:

Step 1 - First, determine the distance between the points.

\(\rm JK = \sqrt{(-9+7)^2+(1+7)^2} = \sqrt{4+64} = \sqrt{68}\)

\(\rm KL = \sqrt{(-1+9)^2+(-1-1)^2} = \sqrt{64+4} = \sqrt{68}\)

\(\rm JL = \sqrt{(-1+7)^2+(-1+7)^2} = \sqrt{36+36} = \sqrt{72}\)

Step 2 - In order to classify the given triangle, the Pythagorean theorem can be used.

\(\rm H^2 = P^2 + B^2\)

Step 3 - Substitute the values of P, H, and B in the above expression.

\(\rm (\sqrt{72} )^2 = (\sqrt{68} )^2 + (\sqrt{68} )^2\)

Step 4 - Simplify the above expression.

72 < 136

Therefore, the given triangle is an acute triangle.

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The domain and the range of a function are the possible input and output values of the function.

The function is given as:

C = 130S + 3500

The domain

This is the possible S values of the function.

S cannot be less than 0, because it represents a physical quantity (i.e. tons of sugar)

The value of S can be any value greater than 0

Hence, the domain of the function is [0, ∞)

The range

This is the possible C values of the function.

The function is given as:

C = 130S + 3500

When S = 0

C = 130(0) + 3500

C = 3500

The above means that:

C cannot be less than 3500

The value of C can be any value greater than 3500

Hence, the range of the function is [3500, ∞)

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If I did this correct, it should be 7,5 hope ot helps

Answer:

8h ≥ 154

Step-by-step explanation:

Mark me Brainllest

Answer:

66 es pero que te ayude ■■♤♤

The total weight of the liquid in the tank is 175162 pounds

To calculate the total weight of the liquid in the tank, we need to find the volume of the tank.

Since tank in the shape of a hemisphere, we will use the formula for volume of hemisphere:

V = (2/3)πr³

Where r is the radius of the hemisphere.

r = 20/2 = 10 feet

V = (2/3) * 22/7 * 10³

V = 2095.2381 cubic foot

Weight (or mass) = density * volume

Weight of the liquid = 83.6 * 2095.2381

Weight of the liquid = 175162 pounds

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The number of groups of 5/3 are in 1 would be equal to 3/5

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Division of fraction

Given that groups of 5/3 are in 1

= 1 ÷ 5/3

Then Multiply by the reciprocal of 5/3

The reciprocal of 5/3 is 3/5

1 ÷ 5/3

= 1 × 3/5

= 3/5

Therefore, the number of groups of 5/3 are in 1 is; 3/5

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Answer:

what are you trying to find.How many degrees to z or y

Step-by-step explanation:

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

Answer:

3

Step-by-step explanation:

because is a hcsbjmcscin C d

Answer:

the right answer is x = 3 and x= -1/2

Step-by-step explanation:

I took the test.

I'm putting here a picture of the working out

By using definition of area of Trapezoid, The area of garden is,

⇒ Area = 504 feet²

We have to given that;

A raised garden is shown below.

Since, The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, Garden is in shape of trapezoid.

And, Bases of garden are,

⇒ a = 26 feet

⇒ b  = 32 feet

Height of garden is,

⇒ h = 18 feet

Since, We know that;

Area of trapezoid is,

A = (a + b) h/2

Where, a and b are base and h is height

Hence, We can formulate;

The area of garden is,

Area = (24 + 32) × 18 / 2

Area = 504 feet²

Therefore, The area of garden would be,

⇒ Area = 504 feet²

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In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

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The value of x on the line segment and the triangle is 17.3 units

From the question, we have the following parameters that can be used in our computation:

A triangle (see attachment for the triangle)

Also from the question, we understand that:

BD bisects ∠ABC

Using the bisector theorem, we have

x/13 = 20/15

Multiply both sides of the equation by 13

So, we have the following representation

13 * x/13 = 20/15 * 13

Evaluate the products

So, we have the following representation

x = 20/15 * 13

Evaluate the other products

So, we have the following representation

x = 52/3

This gives

x = 17.3

Hence, the length x is 17.3 units

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Answer:

x = 5.2

Step-by-step explanation:

Its because 8 / 2 = 4 so that means 5.2 / 2 = 2.6 :)

(You might wanna check because im not sure)

Answer:

10

Step-by-step explanation:

At first, (goh)(x)= g{h(x)}

= g{2x-2}

={2x-2}^2 +3x

\( = 4 {x}^{2} - 8x + 4 + 3x \\ = 4 {x}^{2} - 5x + 4 \\ then \: \:(goh)(2) = 4 \times {2}^{2} - 5 \times 2 + 4 \\ = 16 - 10 + 4 \\ = 10\)

hope u got it.....

The kinetic energy of this car is equal to 77160.49 Joules.

In Mathematics, the kinetic energy of a physical object can be calculated by using the following equation (formula):

K.E = 1/2 × mv²

Where:

Note: 50 km/h to m/s = 50 × 1000/3600 = 13.89 m/s

By substituting the given parameters into the formula for the kinetic energy of a physical object, we have the following:

Kinetic energy, K.E = 1/2 × 800 × 13.89²

Kinetic energy, K.E = 400 × 192.90

Kinetic energy, K.E = 77160.49 Joules.

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Complete Question:

An 800 kg car travels at 50 km/h, what will its kinetic energy be?

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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Answer:

  23,325 ft, about 4.42 miles

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle, where the side adjacent to the 2.7° angle of climb is the horizontal distance, and the side opposite is the vertical change in altitude. That change is ...

  5600 ft -4500 ft = 1100 ft

and the angle relation is ...

  tan(2.7°) = opposite/adjacent = (1100 ft)/(horizontal distance)

Multiplying this equation by (horizontal distance)/tan(2.7°) gives ...

   horizontal distance = (1100 ft)/tan(2.7°) ≈ 23,325 ft

Dividing this by 5280 ft/mi gives ...

  horizontal distance ≈ 4.42 mi

The airplane travels about 23,325 ft, or 4.42 miles, horizontally as it climbs.

Answer:

4k-2/3

Step-by-step explanation:

Answer:

$568.75.

Step-by-step explanation:

Answer:

12.5 kg

Step-by-step explanation:

50 divided by 4 = 12.5

Answer: 37.5kg

Step-by-step explanation:

When you hear "of", it indicates multiplication. When you multiply by 1/4, you can also divide by 4 to get the same answer. 50/4 = 12.5kg sold

But that isnt our net sugar because thats how much he sold. Subtract that from what he has currently, and youll get the sugar he has after selling the 1/4th.

50 - 12.5 = 37.5kg

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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