5. Could the equations y = 2x – 5 and
4x + y = –2 be written so they have similar
structure? Explain.

Answer:

its 1

Step-by-step explanation:

no cap

Answer:

1,2,1,2 answers for the rest of the question

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

*One half of two fifths of x.

We can see this by looking at the max value of the bottom box plot. This is the tip of the whisker on the right. This value (115) is larger than the corresponding max for the Gophers (110).

Answer:

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]

Required

Find the equivalent

To find the equivalent of the given expression; we have to apply laws of indices;

As a law;

[tex]a^{-m} = \frac{1}{a^m}[/tex]

So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]

This is further simplified to

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]

Combine to form a single fraction

[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]

Multiply numerator

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

The expression can not be further simplified

Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Answer:

c

Step-by-step explanation:

x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.

Hope this helped other than the guy above lol

Answer:

the answer is y+3=1/4x+4

Answer:

A

Step-by-step explanation:

Both of the coordinates are positive. The quadrant that has points with positive x and y coordinates is Quadrant I.

Problem 13

----------------------------

Explanation:

For any 45-45-90 triangle, the legs are the same length. One leg is 7, so the other leg is 7 as well. This means y = 7.

The hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. So that leads to 7*sqrt(2) being the hypotenuse. You can use the pythagorean theorem to solve 7^2+7^2 = x^2 to confirm that x = 7*sqrt(2)

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

Problem 14

------------------------------

Explanation:

The hypotenuse is 2*sqrt(3). Take half of this to get sqrt(3), which will be the length of the short leg y. So y = sqrt(3)

Multiply the short leg's length with sqrt(3) to get the length of the long leg

In other words,

long leg = (short leg)*sqrt(3)

long leg = sqrt(3)*sqrt(3)

long leg = sqrt(3*3)

long leg = sqrt(9)

long leg = 3

Therefore, x = 3

All of this applies to 30-60-90 triangles only. Like with problem 13, if you know two sides of a right triangle, you can use the pythagorean theorem to solve for the third missing side.

Answer:

12.6 hp

Step-by-step explanation:

output of motor = 85.4% of input of motor.

Given that motor delivers 10.75 hp, it means output of motor is 10.75hp

Using both the given conditions

10.75 = 85.4% of input of motor

=> 10.75 = 85.4/100  * input of motor

=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.

Input of motor rounded to 1 decimal place = 12.6 hp

Answer:

B.) one semicircle and two line segments

Step-by-step explanation:

The curve would be part of the 'semicircle'. The two line segments would make up the outside of the triangle. The perimeter would have to go around the semicircle's curve and the outside of the triangle.

Option B should be the correct answer.

Answer: The third one

Step-by-step explanation:

4d-6<18 Add six to both sides

4d<24 Divide both sides by 4

d<6 It is an open circle because it is not less than or equal to

Answer:

D. 9:1

Step-by-step explanation:

The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).

The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.

4 · 3 = 12

However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.

You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:

3.14 · 4² · 5 = 251.2

3.14 · 12² · 5 = 2,260.8

The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.

2.260.8 ÷ 9 = 251.2

Answer:

252.1

Step-by-step explanation:

Step-by-step explanation:

1. Population Area: this can be defined as a group of similar species

                                  inhabiting/ co-existing in a defined location or space

2. Urban population: urban areas are often more developed areas with                                                                   greater population than rural environments

                                   it's the people living in cities.

3. Population density: this  is a measurement of population per unit area..

Please take a look at this picture. The intersection point is at (2, 0)

If you need help with graphing, you can use the Desmos graphing calculator.

Hope I helped!

Answer: (2,0)

Step-by-step explanation:

Answer:

The answer is (a+c) + 7

Since addition is associative a + ( C + 7) can also be written as (a+c) + 7

Hope this helps you

Answer:

(a+c)+7

Step-by-step explanation: This method is called associative property.

On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.

Hope it would help :)

Answer:

Step-by-step explanation:he correct answer is:

the eighth root of 2 to the fifth power .

Explanation:

What we have is:

Using the rules of exponents, we know that when we divide powers with the same base, we subtract the exponents. The base of each exponent is 2, so we subtract:

7/8 - 1/4

We find a common denominator. The smallest thing that both 8 and 2 will evenly divide into is 8:

7/8 - 2/8 = 5/8

This gives us:

When rewriting rational exponents as radicals, the denominator is the root and the numerator is the power. This means that 8 is the root and 5 is the power, which gives us:

,

or in words, the eighth root of 2 to the fifth power.

The required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.

Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry.

Here,
In the graph, triangle ABC is transformed into triangle A'B'C' by a combination of rotation and translation. First, the triangle is rotated 270 degrees counterclockwise around the origin. Then, the resulting triangle is shifted 3 units down.

Thus, the required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.

Here's where you can find out more about transformation: brainly.com/question/18065245
#SPJ7

Answer:

The length of the missing segment is 44

Step-by-step explanation:

Given

The figure above

Required

Determine the missing segment

Let the missing segment be represented with x

Given that, there exist parallel lines between the two triangles;

The relationship between the sides of the triangles is as follows;

[tex]\frac{20}{x} = \frac{10+20}{22+x}[/tex]

[tex]\frac{20}{x} = \frac{30}{22+x}[/tex]

Cross Multiply

[tex]20 * (22 + x) = 30 * x[/tex]

Open bracket

[tex]20 * 22 + 20 * x = 30 * x[/tex]

[tex]440 + 20x = 30x[/tex]

Subtract 20x from both sides

[tex]440 + 20x - 20x= 30x- 20x[/tex]

[tex]440 = 30x- 20x[/tex]

[tex]440 = 10x[/tex]

Divide both sides by 10

[tex]\frac{440}{10} = \frac{10x}{10}[/tex]

[tex]\frac{440}{10} = x[/tex]

[tex]44 = x[/tex]

[tex]x = 44[/tex]

Hence, the length of the missing segment is 44

Answer:

  21h miles

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

__

We are given that ...

  biking time = h

  walking time = 2h

  running time = (1/4)(2h) = h/2

The total distance traveled is ...

  total distance = biking distance + walking distance + running distance

     = (10)(h) +(3)(2h) +(10)(h/2)

     = 10h + 6h + 5h

  total distance = 21h . . . miles

Answer:

21h miles

Step-by-step explanation:

The appropriate relation is ...

 distance = speed · time

__

We are given that ...

 biking time = h

 walking time = 2h

 running time = (1/4)(2h) = h/2

The total distance traveled is ...

 total distance = biking distance + walking distance + running distance

    = (10)(h) +(3)(2h) +(10)(h/2)

    = 10h + 6h + 5h

 total distance = 21h . . . miles:

Answer:

D) 4.02 units

Step-by-step explanation:

This will be a right triangle, where b = 4 and angle A is 6 degrees

We want to find c

cos A = adjacent / hypotenuse

cos 6 = 4/c

c cos 6 =4

c = 4/ cos 6

c =4.022033118

Answer:

(3, 0)

Step-by-step explanation:

Step 1: Find slope

m = (-48 + 64)/(-15 + 21)

m = 8/3

y = 8/3x + b

Step 2: Find b

-32 = 8/3(-9) + b

-32 = -24 + b

b = -8

Step 3: Write linear equation

y = 8/3x - 8

Step 4: Find x-intercept

0 = 8/3x - 8

8 = 8/3x

x = 3

Answer:

The correct answer is (3, 0)

Hope this help!

Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

-6+(-2)= -8

-2*(-6)= 12

now the polynomial quadratic is:

(x+6)(x+2)

Answer:

Isosceles add upto 180°

To find x =180°-22°=158°

Answer:

x = 79°

Step-by-step explanation:

→ Remember that vertically opposite angles are equal so 22° is opposite to CAB so angle CAB is 22°

CAB = 22°

→ Remember the fact that

Using the information we form an equation,

2x + 22 = 180

→ Minus 22 from both sides to isolate 2x

2x = 158

→ Divide both sides by 2 to isolate x

x = 79°

Answer:

-

Step-by-step explanation:

becuase (-3)(-4) will give you a positive and when you mutipy it with the 5 and 6 you will still get postive but when you multiply with -7, you will get a negitive

Answer:

Negative

Step-by-step explanation:

[tex](-3)(-4)(5)(6)(-7)\\\\-3*-4*5*6*-7\\\\\boxed{-2520}[/tex]

The product has a negative sign.

Brainilest Appreciated.

Answer:

no the ratios of corresponding sides are not equal

Step-by-step explanation:

For two rectangles to be considered similar, the ratio of the length of their corresponding sides must be of equal measure.

Let's find out if the 2 given rectangles are similar or not by finding the ratio of the length of their corresponding sides as follows:

3/3 = 1

4/6 = 2/3

Thus, 3/3 ≠ 4/6

The ratio of their corresponding sides are not equal. Therefore, the two rectangles bare not similar.

The answer is: "no the ratios of corresponding sides are not equal".

Answer:

you have to divivide both number to find the height=57.1

Step-by-step explanation:

Step-by-step explanation:

Perimeter = 2×(Height × Base)

269.4 = 2(Height × 77.6)

269.4 = 155.2 × 2Height

2Height = 114.2

Height = 57.1 miles

Answer:  (-x, y-7)

Step-by-step explanation:

A reflection across the y-axis changes the sign of the x-value.

(x, y)   →  (-x, y)

Shifting down 7 units subtracts 7 from the y-value.

(-x, y)   →   (-x, y-7)

Answer:

The answer is option B

f( 5) = - 1

Hope this helps you

Regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.

The slope (m) of the graph is

m = (4 - 0) / (0 - 4)

m = -1

From general linear equation:  y = mx + c

The equation of the function is;

y = -x + 4

f(x) = -x + 4

Let us check all the options one by one.

If x = 0,

F(0) = 4  This is not true

If x = 5

F(5) = -5 + 4

F(5) = -1  This is true.

Therefore, regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.

Learn more about Function here : https://brainly.com/question/17043948

Answer:

86.82%

Step-by-step explanation:

A nautical mile = 6,174 feet.

Statute mile =5,360 feet

The percentage of a statute mile to a nautical mile is calculated as:

5360/6174 × 100

= 0.8681567865 × 100

= 86.81567865%

Approximately to the nearest hundredth = 86.82%

Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%