What is 2x-3y=5
x+2y=-1

Answer:

  7.2 cm

Step-by-step explanation:

For the similar triangles, the ratio of the length of the bottom side to the right side is the same:

  bottom/right = (x cm)/(6 cm) = (12 cm)/(10 cm)

  x cm = (6 cm)(12/10) = 7.2 cm

_____

Technically, x = 7.2, not 7.2 cm.

Final answer:

Given an angle θ in Quadrant IV with cotθ = -2/17, a right triangle is formed. Using the Pythagorean theorem, the hypotenuse is calculated, and the five additional trigonometric functions of θ are determined with appropriate signs for Quadrant IV.

Explanation:

If θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17, we can find the five remaining trigonometric functions.

The cotangent of an angle θ, which is the reciprocal of the tangent, tells us that the tangent of θ is -17/2. Since the angle is in Quadrant IV, where cosine and secant are positive but sine and cosecant are negative, we can form a right triangle within the coordinate plane to represent this scenario. In this triangle, the adjacent side (x) to the angle θ will be positive, and the opposite side (y) will be negative.

Using the Pythagorean theorem, if we assume the adjacent side to be 17 (because cotθ = adjacent/opposite), and the opposite side to be -2 (to make cotθ = 17/(-2) = -2/17), the hypotenuse (r) can be calculated as:

√(17² + (-2)²) = √(289 + 4) = √293

Now we can find the other five trigonometric functions:

The signs of these values are consistent with the properties of trigonometric functions in the fourth quadrant.

Answer:

boat 75

Step-by-step explanation:

Car--360/6=60

Train--400/8=50

Boat--375/5=75

Answer:

Step-by-step explanation:

car traveled= 360

                        6

train traveled= 400

                           5

boat traveled= 375

                           5

traveled:

Car= 60km/h

train= 50km/h

boat= 75km/h

Therefore BOAT WITH 75km/h has the FASTEST average speed

Hope it is a proper explanation & correct answer

STAY SAFE

Answer:

Dave drove 168 miles during the 2nd part of the trip

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of Dave for part of the trip = 55 mph

Speed of Dave the rest of the trip = 60 mph

Total time of the round trip = 4 hours 12 minutes

Total distance of the trip = 245 miles

2. How far did Dave drive during the 2nd part of his trip?

Let's recall that the formula of speed is:

Speed = Distance/Time, therefore Distance = Speed * Time

x = Time of part of the trip

4 hours 12 minutes - x = Time of the rest of the trip

4.2 hours - x = Time of the rest of the trip

Now, we can write solve for x, this way:

55 * x + 60 (4.2 - x) = 245

55x + 252 - 60x = 245

-5x = 245 - 252

-5x = -7

x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8

1st part of the trip = 55 * 1.4 = 77 miles

2nd part of the trip = 2.8 * 60 = 168 miles

Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part

Answer: the one that sells 12 ounces for 1.95

Step-by-step explanation:

A: 1.95÷12=0.1625

B: 2.10÷18=0.1166666667

A gets more money.

Hope this helps ca.you tell me if it does and can you give me brainliest plzzz???

Answer:

used an interest calculator

Answer:

2

Step-by-step explanation:

Answer:

x = 4, y = 1---->7(4)(1) - 3 = 28 - 3 = 25

x = 1, y = 6---->1 + 4(6) = 25

x = 1, y = 3---->(1 + 3 + 1)² = 5² = 25

Answer:

The area is 18un^2

Step-by-step explanation:

The trapezoid area formula is (b1+b2)*h/2

so the two bases are 9 and 3. add them 9+3 = 12

the height is 3 multiply 12*3 = 36

then divide by two 36/2 = 18

The value of f(7) is 35

Solution:

Given function is:

f(x) = 5x

We have to find the value of f(7)

The value of f(7) can be found by substituting x = 7 in given function

Plug in x = 7 in function

[tex]f(x) = 5x\\\\f(7) = 5(7)\\\\f(7) = 5 \times 7\\\\f(7) = 35[/tex]

Thus the value of f(7) is 35

To find f(7), substitute x = 7 into the function f(x) = 5x. The value of f(7) is 35.

To find the value of f(7) if f(x) = 5x, substitute x = 7 into the function. We get:

Therefore, the value of f(7) is 35.

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Answer:

$309.01

Step-by-step explanation:

To calculate tax, you need to turn the percent to a decimal.  This is done by moving the decimal point two spaces to the left, adding zeros and needed.

4.75% = 0.0475

Now take the price of the bike, 295, and multiply it by 0.0475.

295 x 0.0475 = 14.0125

All you need are the first two numbers after the decimal point since you are dealing with money.

Add the product, 14.01, to the price of the bike, 295, and you have your answer.

$309.01

Hope this helps.

Answer:

309.01

Step-by-step explanation:

Answer:

C = -6

Step-by-step explanation:

1 +-7 =-6:::::::::::::::::::

Answer:

13013

Step-by-step explanation:

Express each number in terms of the product of prime numbers.

91 = 7 × 13

143 = 11 × 13

169 = 13 × 13

Now consider the maximum number of times each factor occurs for each number.

The factor 7 occurs once

The factor 11 occurs once

The factor 13 is repeated twice ( maximum number of times for 1 number )

Thus LCM = 7 × 11 × 13 × 13 = 13013

91 = 7×13

143 = 11×13

169 = 13²

LCM = 7×11×13² = 77×169 = 13013

Answer:

1:10 pm

Step-by-step explanation:

60 minutes in an hour, so

8:50am + 4 hours = 12:50pm

12:50pm + 20 minutes = 1:10pm

Answer:

b 119,600

Step-by-step explanation:

250+270+26+5=551 250+270 = 520 520/551 ~94%

94% of 126,776~ 119,600

Answer:

The length is 37yd

The width is 17yd

Step-by-step explanation: please see attachment for explanation

Answer:

80% of the candies are without nuts.

9/45 = 0.2

0.2 = 20%

The remainder is 80%

Answer:

Step-by-step explanation:

16.72 or 17

Answer:

16.72

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, all you would have to do is multiply 3.8*4.4

3.8*4.4=16.72

However, I'm not sure why {maybe a typo?}, but 16.72--nor any other numbers similar are listed.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

The rate of speed of jet is 104 miles per hour

The jet could cover 1144 miles in 11 hours

Given that,

A jet travels 520 miles in 5 hours

[tex]speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{520}{5}\\\\Speed = 104\ miles\ per\ hour[/tex]

Time = 11 hours

Speed = 104 miles per hour

[tex]Distance = speed \times time\\\\Distance = 104 \times 11\\\\Distance = 1144[/tex]

Thus the jet could cover 1144 miles in 11 hours

Answer:

x=1 y= 7

x=2 y= 10

x=3 y= 13

Step-by-step explanation:

y=3x+4

y=3(1)+4

=7

y=3(2)+4

=-10

y=3(3)+4

=13

For this case we have the following equation:

[tex]y = 3x + 4[/tex]

We must find the value of the variable y when the variable x takes certain values.

For [tex]x = 1:[/tex]

[tex]y = 3 (1) +4\\y = 3 + 4\\y = 7[/tex]

For [tex]x = 2:[/tex]

[tex]y = 3 (2) +4\\y = 6 + 4\\y = 10[/tex]

For [tex]x = 3:[/tex]

[tex]y = 3 (3) +4\\y = 9 + 4\\y = 13[/tex]

Thus, the values of y are 7,10,13 respectively.

Answer:

[tex]y = 7\\y = 10\\y = 13[/tex]

Find how far the car traveled in one minute by dividing distance traveled by total time:

2 5/8 miles / 3 1/2 minutes = 3/4 mile per minute.

Now for distance (D) multiply miles per minute by number of minutes (m)

D = 3/4m

Answer:

x < - 3

Step-by-step explanation:

Given

x + 5 < 2 ( subtract 5 from both sides )

x < - 3

Yo sup??

x+5<2

adding -5 on both the sides

x+5-5<2-5

x<-3

Therefore x can take any value from -3 (-3 not included) to negative infinity.

Hope this helps.

Answer:

5 packages                 . .

Step-by-step explanation:

Answer:

5 packages of diapers

Answer:

14

Step-by-step explanation:

4/(2/7)=(4/1)(7/2)=28/2=14

A) Equation: f = 2.75p

B) 38.5 cups of flour are needed to make 14 pound cakes

Step-by-step explanation:

A)

The table shows the following data:

Pound cakes, p  3 6 9

Cups of flour, f 8.25 16.5 24.75

From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:

[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]

This means that for each additional pound  cake, we need 8.25 more cups of flour.

This is a direct relationship between the two variables, therefore we can write their relationship using the equation:

[tex]f=2.75 p[/tex]

B)

Now we can complete the table.

We have to found how many cups of flour are needed when the number of pound cakes is

p = 14

In order to do that, we use the equation found in part A):

f = 2.75p

And substituting p = 14 into the equation, we find

f = (2.75)(14)= 38.5

Which means that 38.5 cups of flour are needed to make 14 pound cakes.

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Answer:

The answer is A

Step-by-step explanation:

B (1/4x)^2 will widen the parabola

C 4x^2 is too wide to be g(x)

D (16x)^2 is too narrow to be g(x)

A is the correct answer. When graphed on desmos . com / calculator it shows this is the correct answer. I hope this helped!

Answer:

y=2/5x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=2/5(x-(-5))

y+5=2/5(x+5)

y=2/5x+2-5

y=2/5x-3

Answer:

see graph of y=3/4 x-4

Step-by-step explanation:

Assuming you mean

[tex]y = \frac34x - 4[/tex]

Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.

You have to be careful on how you write these equations down. It might very well be that you meant:

[tex]y = \frac{3}{4x-4}[/tex] or [tex]y = \frac{3}{4x} - 4[/tex]

However, those are more complex so I'm hoping for the first one... ;-)

Answer:

lenght = 13 inches

width = 7 inches

Step-by-step explanation:

p= 2(l+b)

let lenght be x

width be y

so x=y+6

40 = 2(y+6 + y)

40= 2( 2y+6 )

20= 2y +6

2y = 20-6

2y=14

y=7

x=7+6=13

so lenght is 13 inches

width is 7 inches

The problem is about finding the length and width of a rectangle given its perimeter and their relationship. Solve it by forming an equation from the given information and solving for 'x'. The resulting dimensions are a width of 7 inches and length of 13 inches.

The question given is a problem in algebra and pertains to the dimension of a rectangle. To solve it, let's assume the width of the rectangle to be 'x'. As per the information given, the length can be written as 'x+6'. The formula for the perimeter of a rectangle is 2*(Length + Width).

In this problem, we have perimeter = 40 inches. By substituting the values of length and width into the formula, we get: 2*(x + (x+6)) = 40.

By simplifying, you find that 2*(2x+6) = 40, which reduces to 4x+12 = 40. If you subtract 12 from each side, you get: 4x = 28. Finally, dividing each side by 4 you find the width 'x' equals 7.

Substituting x=7 in length equation: length = 7+6 = 13. So, the dimensions of the rectangle are width = 7 inches, and length = 13 inches.

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Answer:

look at the picture shown