what is the quotient of the rational expression below? 3x+1/x+8 ÷ x-7/5x

Answer: (-6, -3)

Step-by-step explanation:

We have the point (-3, -6)

And we want to do a reflection over the line y = x.

When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)

So if our original point is (-3, -6) then the reflected point is (-6, -3)

Answer:

28

Step-by-step explanation:

So I just figured out by counting. The top has 8, which means the bottom also has 8. The sides are 3, 2, 1, 1, 2, 3

The total is 8 + 8 + 3 + 2 + 1 + 1 + 2 + 3 =  28

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

[tex]\angle ACB=55^{\circ}[/tex] (Alternate interior angles)

For any angle [tex]\theta[/tex],

[tex]tan \theta[/tex] = side opposite to angle/side adjacent to angle

[tex]\tan C=\frac{AB}{BC}[/tex]

Put [tex]\angle C=55^{\circ}\,,\,BC=2.8\,\,miles[/tex]

[tex]AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles[/tex]

So, the current altitude of the plane is 4 miles.

Answer:

the nature of the roots of an equation is real, distinct and irrational

Step-by-step explanation:

Given Data provided in the question according to the question is as follows:

[tex]2x^2 + 8x + 3 = 0[/tex]

where

a = 2  ,  b = 8 , c = 3

As we know that

Quadratic expression

[tex]ax^2 + bx +c = 0[/tex]

Delta = [tex]b^2 - 4ac[/tex]

[tex]= (8)^2 - 4 (2) (3)[/tex]

= 64 - 24

= 40

Here,

Delta > 0, it does not contain perfect square

Therefore the nature of the roots of an equation is real, distinct and irrational

Answer:

B

Step-by-step explanation:

Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.

Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B

where L is the length and B is the breadth

our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle

So, let’s say the sides measure 5 inches by 4 inches

Enlarging these by a factor of 6, we have 30 inches by 24 inches

The new area of the rectangle would thus be ;

30 inches * 24 inches = 720 inches^2

Answer:

b

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

That is exactly what a perimeter is. Hope this helps

Answer:

B.

Step-by-step explanation:

First find the other two angles in the triangle using supplementary angles.

They are 90° and 55°

Now just subtract them from 180

180 - 90 - 55 = 35°

Answer: -3

Step-by-step explanation:

-3^2=-3*-3=-9

Because the square of q is equal to -9, the square root of -9 is equal to q.

Because of this fact, we can find the square root of -9 to get our answer.

[tex]\sqrt{-9}[/tex] = 3 i.

Therefore, q is equal to 3 i or [tex]\sqrt{-9}[/tex].

Hope this helped! :)

Answer:

30

Step-by-step explanation:

If 15/50 = x/100,

then 50x=1500,

and x-30

:-)

Answer:

7 and -5

Step-by-step explanation:

1. Factor: (x-7)(x+5)

2. Set both to zero and solve

Answer:

[tex]Volume = 54\,\pi[/tex]

Step-by-step explanation:

Recall the formula for the volume of a cylinder:

[tex]Volume=\pi \,R^2\,H[/tex]

where R is the radius of the cylinder's base, and H is the cylinder's height.

Therefore, in our case the volume becomes:

[tex]Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi[/tex]

Answer: (-4, -1)

Step-by-step explanation:

Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.

So the new point is now (-4, 1).

Now we reflect over the x-axis which means the y-value of 1 becomes negative.

So the final point is (-4, -1)

Answer:

(-4,-1)

Step-by-step explanation:

when you translate it by 3 units up, it becomes (-4,-1). and when you reflect over the x axis, it becomes (-4,-1)

Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

Answer:

1,9,3,27

Step-by-step explanation:

if we break it down we can see:

1x27=27

9x3=27

Answer:

All whole numbers are integer

All natural numbers are rational numbers

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

edge 2021 :)

Answer:

x^2+6x+8

Step-by-step explanation:

x x x=x^2

x x2= 2x

4 x x=4x

4 x 2= 8

x^2+2x+4x+8

x^2+6x+8

Answer:

  [tex]\dfrac{\overline{RS}}{\overline{VU}}=\dfrac{\overline{ST}}{\overline{UT}}\quad\text{and}\quad\angle S\cong\angle U[/tex]

Step-by-step explanation:

To use the SAS similarity theorem, you must show proportionality between corresponding sides, and congruence of the angle between them.

The answer shown above is the only answer choice that mentions an angle.

__

Comment on other choices

Choice B shows the three sides are proportional, so would be useful if the SSS similarity theorem were to be invoked. It isn't helpful for the using the SAS similarity theorem.

Choices C and D get the proportion statements wrong.

Answer:

RS/VU=ST/UT and Angle S congruent Angle U

Answer:

4/6 , 3/4, 7/8

Step-by-step explanation:

7/8 4/6 3/4

The common denominator is 24

7/8*3/3 = 21/24

4/6* 4/4 = 16/24

3/4 * 6/6 = 18/24

From smallest to largest

16/24, 18/24, 21/24

4/6 , 3/4, 7/8

Answer:

− 4 b − 44

Step-by-step explanation:

Answer:

-4(b + 11)

Step-by-step explanation:

-4(b + 2) - 36    (multiply -4 into parentheses via distributive property)

= b(-4) + 2(-4) - 36

= -4b -8 - 36

= -4b - 44    (this could be an answer, but we can still simplify further by factoring out -4)

= -4(b + 11)

Answer:

your answer is -4!

Step-by-step explanation:

plz mark me brainliest

Answer:

1700

Step-by-step explanation:

Answer:

Correct option: C

Step-by-step explanation:

To solve the equation m*5 - 8 = -6, we can use the following steps:

step1: sum 8 in both sides, to make m*5 be the only term in the left side.

m*5 = 2

step2: divide both sides by 5, then we will have 'm' isolated in the left side.

m = 2/5

So the operations we could use is: add 8 to each side and then divide each side by 5.

Correct option: C

Answer:the answer is -17

Step-by-step explanation:

Answer:

It could help Logan to first study the constitution and shape of this type of armor in order to make a mental image of the positions of the angles as well as the size.

Step-by-step explanation:

A previous study allows Logan to understand that these types of trusses have a triangular shape and are widely used in the construction of roofs, therefore Logan could use to draw this type of trusses.

Answer:

n=2.5

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

Expand parentheses:

2n+10=-9+8n+4

Combine like terms:

15=6n

Divide both sides by 6:

n=2.5

Hope this helps!

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

Answer:

The surface area of the cylinder is 251.2cm²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

radius = half of diameter

r = 10/2 = 5cm

To calculate the area of ​​the circle we use the following formula

a = area

r = radius = 5cm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

The area of the circle is 78.5cm²

To calculate the lateral area of ​​the cylinder we use the following formula

a = area  =

h = heighti = 3cm

r = radius = 5cm

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 5cm * 3cm

a = 6.28 * 15cm²

a = 94.2cm²

The lateral area of ​​the cylinder is 94.2cm²

Now we add the lateral area of ​​the cylinder with 2 times the area of ​​the circle and obtain the area of ​​the cylinder

94.2cm²  + (2 * 78.5cm²) = 251.2cm²

The surface area of the cylinder is 251.2cm²

Answer:

first box: -14[tex](x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14[/tex]

second box: zero

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2

Answer:

CP - SP = LOSS when CP is more than SP