One of the sides of a rectangle has length 7. Which of the following points, paired with (6,5), will make a side of this length?

Answer:

3x + 4 = 14

3x = 10

x = 10/3

- 3x - 4 = 14

- 3x = 18

x = -6

x = 10/3; x = -6

Answer:

Two solutions were found :

x=10/3

x=-6

Step-by-step explanation:

|3x+4|=14  

Two solutions were found :

x=10/3

x=-6

Absolute Value Equation entered :

     |3x+4|=14  

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |3x+4| = 14  

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x+4|

For the Negative case we'll use -(3x+4)  

For the Positive case we'll use (3x+4)  

Step  3  :

Solve the Negative Case

     -(3x+4) = 14  

    Multiply

     -3x-4 = 14  

    Rearrange and Add up

     -3x = 18  

    Divide both sides by 3  

     -x = 6  

    Multiply both sides by (-1)  

     x = -6  

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

     (3x+4) = 14  

    Rearrange and Add up

     3x = 10  

    Divide both sides by 3  

     x = (10/3)  

    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

x=-6

x=10/3

Solutions on the Number Line

Two solutions were found :

x=10/3

x=-6

Answer:

7000-24x

Step-by-step explanation:

The question states that the car depreciates every month over the 2 years. This means that the value will go down from its original price. So with that we can rule out the last two choices which has addition.

The depreciation is every month, so in 2 years, there are 24 months. We can get the total deduction by multiplying the depreciation amount and the number of months that had passed over 2 years.

So your answer would be:

7000-24x

Answer:

58

Step-by-step explanation:

right triangle is usually 45°45°90°

given angles: 90°and 32°

90+32=122

then 180-122=58°

Taking the sum of the three interior angles of a triangle and the definition of a right triangle, you get that the value of the other angle is 58°.

The right triangle is a geometric figure that is considered as a polygon formed by three sides that form a right angle and two acute angles. That is, a right triangle is one that has an interior angle that is right, that is, it measures 90º.

On the other hand, the sum of the three interior angles of a triangle is equal to 180 °.  Being α, β and γ the interior angles of the triangle, then:

α + β + γ= 180°

Being a right angle, whose value is 90 °, and another angle whose value is 32 °, it is replaced:

90° + 32° + γ= 180°

and solving you get:

122° + γ=180°

γ= 180° - 122°

γ= 58°

Then, the value of the other angle is 58°.

Learn more about the sum of the three interior angles of a triangle with this example:

First subtract 17 to both sides (what you do on one side you must do to the other). Since 17 is being added, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

p + 17 - 17 < 19 - 17

p + 0 < 2

p < 2  

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

p < 2

aka p is less then two

This means that the graph will have an empty circle and the arrow will go to the left of 2. (image below)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x = 3/2, 9/2.

Step-by-step explanation:

Line 3:  36.

Line  6: 3/2.

Last line:  9/2, 3/2.

Answer:

(x + 2)(x - 8)

Step-by-step explanation:

You had your signs altered. You want your B to result in -6, not 6.

I am joyous to assist you anytime.

Answer:

18

Step-by-step explanation:

f(x) = 2(x)^2 +5 sqrt(x+2)

Let x =2

f(2) =2(2)^2 +5 sqrt(2+2)

    = 2 *4 + 5 (sqrt(4))

    = 8 + 5*2

    = 8 + 10

   = 18

Answer:

y - 3 = 5(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 5 and (a, b) = (- 1, 3), hence

y - 3 = 5(x - (- 1)), that is

y - 3 = 5(x + 1) ← in point- slope form

Answer:

It's d. -4x^2 + 2x + 2.

Step-by-step explanation:

            -4x^2 + 2x + 2.

            ------------------------

6x + 3 )-24x^3 + 0x^2 + 18x + 6

            -24x^3 - 12x^2

             --------------------

                            12x^2 + 18x

                            12x^2  + 6x

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

                                           12x + 6

                                           12x + 6

Answer:

No x-intercept.

Step-by-step explanation:

The zeroes are not real so it will not pass through the x axis.

Answer:

The correct option is A) No x-intercepts.

Step-by-step explanation:

Consider the provided information.

Nature of solution based on the value of discriminant :

If D = b² − 4ac > 0 then there exist two Real Solutions or roots.

If D = b² − 4ac = 0 then there exist one Real Solutions or roots.

If D = b² − 4ac < 0 then there exist no Real Solutions or roots

Here, we need to remember that the root of an equation and x-intercepts are the same thing.

Now consider the provided information.

The graph of an equation with a negative discriminant means:

D = b² − 4ac < 0

From the above values of discriminant we can say, there exist no Real roots or no x-intercepts.

Thus, the correct option is A) No x-intercepts.

Answer:The  answer is C! Hope this helps Please mark me Brainalist!

If not i totaly get it :D

Step-by-step explanation:

Answer:

Give oliviadimatteo44 Brainliest because he/she is correct

Step-by-step explanation:

checked on edge 2020-2021

Answer:

B. X squared is -3 times -3, which is equal to 9.

Step-by-step explanation:

Answer:

the x value

Step-by-step explanation:

Answer:

The correct graph is A

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

[tex]c=2h+2[/tex] ---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A

see the attached figure

Answer:

No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

Step-by-step explanation:

The triangle has vertices A(1,1), B(5,1), C(3,4).

First transformation is reflection over y-axis with the rule

(x,y)→(-x,y)

so,

Second transformation is rotation by 270° counterclockwise with the rule

(x,y)→(y,-x)

so

No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

Step-by-step explanation:

What program do you guys use to do the fancy stuff that the guy above did, because I gotta do it by paper and it's annoying lol

Answer:

Area of circle R = 75π un² or ≈235.5 un²

Step-by-step explanation:

The problem says that m∠TRS = 120º. The total number of degrees in a circle is 360º. 120º is a third of 360º. Therefore, we can prove that the shaded sector is a third of the circle.

The problem then says that the area of the shaded sector is 25π and we have to calculate the area of the entire circle. Since we already know that the shaded sector is a third of the circle, we can simply multiply 25π by 3 in order to calculate the area of t he entire circle.

25π × 3 = 75π.

Area of circle R = 75π un² or ≈235.5 un²

Answer: 75

Step-by-step explanation:

If the measure of TRS is 120, that is 1/3 the total of 360. Meaning the area of the shaded part is 1/3 the area of the full circle. If the area of the shaded part is 25, that means 25 is 1/3 the full area. the equation for that can be (25 = 1/3x) with x being the full area of the circle.

To solve just multiply both sides by the reciprocal of 1/3, which is 3.

25 x 3 = 75, which is your answer.

Answer:

45

Step-by-step explanation:

every term in the sequence is 3 more than the last, so:

12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45

1 2 3 4 5 6 7 8 9 10 11 12

45 is the 12th term

Answer:

Option b - 45

Step-by-step explanation:

Given : Sequence 12,15,18,21,...

To find : What is the 12th term in the sequence?

Solution :

Sequence 12,15,18,21,... is an arithmetic progression.

Where, first term is a=12

Common difference is d=15-12=3

The nth term of the sequence is

[tex]a_n=a+(n-1)d[/tex]

The 12th term is

[tex]a_{12}=12+(12-1)(3)[/tex]

[tex]a_{12}=12+(11)(3)[/tex]

[tex]a_{12}=12+33[/tex]

[tex]a_{12}=45[/tex]

Therefore, The 12th term of the sequence is 45.

So, Option b is correct.

We apply the following property:

(x^n)^m = x^(n • m)

Let m = 2

(P^1/2)^2 = P^(1/2 • 2) = P

Follow below steps;

The property of exponents that you must apply to the expression p1/2 to derive p as the result is the power law for fractional exponents. This law states that when raising a number to a fractional exponent, it is equivalent to taking its root.

Example: p1/2 is the same as taking the square root of p, resulting in p.

When dealing with fractional exponents like 1/2, remember that they represent roots, such as square roots in this case.

Answer:

c. x=6

Step-by-step explanation:

Answer:

[tex]\large\boxed{x=2y^2}[/tex]

Step-by-step explanation:

[tex]y=2x^2\\\\\text{exchange x to y and vice versa:}\\\\x=2y^2\\\\\text{solve for y:}\\\\2y^2=x\qquad\text{divide both sides by 2}\\\\y^2=\dfrac{x}{2}\to y=\sqrt{\dfrac{x}{2}}[/tex]

Answer:

D. [tex]x=2y^2[/tex]

Step-by-step explanation:

We have been given an equation [tex]y=2x^2[/tex]. We are asked to choose the equation that could be solved to get the inverse of given equation.

We know that to find the inverse of a function, we interchange the x and y variables and then we solve for y.

Upon interchanging x and y variables in our given equation, we will get:

[tex]x=2y^2[/tex]

Therefore, the equation [tex]x=2y^2[/tex] can be simplified to find the inverse of our given equation and option D is the correct choice.

Answer:

The probability of choosing a black card then a white card, without

replacement is 24/91

Step-by-step explanation:

* Lets explain how to solve the problem

- There is a box contain some cards

- There are 8 white cards in the box

- There are 6 black cards in the box

- Two cards are choosing from the box a black card and then a white

 card, without replacement

∵ The number of the white cards in the box is 8

∵ The number of the black cards in the box is 6

∴ The total number of the cards in the box = 8 + 6 = 14

- We will chose the first card which is a black card

- We have 6 choices from 14 choices

∵ The number of the black cards is 6

∵ The total number of the cards is 14

∴ P(black) = 6/14 = 3/7

- Now the number of the black cards is 5 and the total number of the

 cards is 13 because there is no replacement

- We will chose the second card which is a white card

- We have 8 choices from 13 choices

∵ The number of the white cards is 8

∵ The total number of the cards is 13

∴ P(white) = 8/13

- Lets find the probability of choosing a black card then a white card

∵ P(black) = 3/7 and P(white) = 8/13

∴ P(black and white) = 3/7 × 8/13 = 24/91

* The probability of choosing a black card then a white card, without

  replacement is 24/91

[tex]\huge{\text{Hey there!}}[/tex]

[tex]\text{Question yourself}\bf{\ How\ many\ times\ does\ 20\ goes\ into\ 100?}[/tex]

[tex]\huge{\text{20\ *\ 100 = ?}}[/tex]

[tex]\text{If you remember the steps onto how to solve\bf{\ long\ multiplication}}[/tex]  [tex]\text{then, you should know how to solve this equation just with more steps!}[/tex]

[tex]\huge\boxed{\boxed{\text{Answer: A. 2,000}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\huge\frak{LoveYourselfFirst:)}[/tex]

20 times 100 is 2000.

2 times 1 is 2 and you add on the three zero's in both numbers to the end of the final number.

so, it would be 2000.

Answer:

d

Step-by-step explanation:

Answer:

[tex]\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}[/tex]

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

[tex]\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}[/tex]

The middle point of the base is placed at point

[tex]\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i[/tex]

The length of the height is the distance between the points 5+9i and 7+3i

[tex]\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}[/tex]

So, the area of the triangle is

[tex]A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}[/tex]

Answer:

A

Step-by-step explanation:

did on edge

[tex]\bf \begin{cases} a+b=-1\\ x+y+z=2 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} 7a+7b\qquad &+6z+6x+6y\\\\ 7(a+b)&+6(z+x+y)\\\\ 7(a+b)&+6(x+y+z)\\\\ 7(-1)&+6(2)\\\\ -7&+12&\implies 5 \end{array}[/tex]

Answer:

5

Step-by-step explanation:

hihi, so the key to this is manipulating the equations. Realizing that 7a + 7b is just 7*(a+b) makes this fairly simple since you already know what a+b equals and just have to multiply that by 7. Same goes with x, y, and z. 6x + 6y + 6z is the same as 6(x + y + z). Thus, -1 * 7 + 2 * 6 = 5

Answer:

c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.

Step-by-step explanation:

The original price of Pineapples=$5.15

New price of Pineapples=$3.88

Find change in price of Pineapples

Change in price=original price- new price

[tex]=5.15-3.88=1.27[/tex]

The price of Pineapple was reduced by $1.27

% reduction in price

(reduction value/original value) × 100

[tex]=\frac{1.27}{5.15} *100=24.66[/tex]

=24.66%

The original price of grape fruits=$2.25

New price of grape fruits=$1.56

Change in price of grape fruit

Change in price= original price -new price

[tex]=2.25-1.56=0.69[/tex]

% reduction in price of grape fruits

(reduction value/original value)×100

[tex]=\frac{0.69}{2.25} *100=30.67[/tex]

=30.67%

Answers

The fruit that has its price reduced by a greater percentage is grape fruit

How many percentage points greater = 30.67%-24.66% = 6.01 points

Answer:

The answer is C on Edge 2020

Step-by-step explanation:

I just took a quiz.

Answer:

The middle option.

Step-by-step explanation:

This is because the points on each triangle are equidistant from the imaginary line in between the two triangles.  It isn't the first option because that is a rotation, and it isn't the third right option because that is a translation.

Please mark for Brainliest!! :D Thanks!!

For more information or questions, please comment below and I'll respond ASAP.

Answer:

e -8 =x

Step-by-step explanation:

1 = In(x + 8)

To get rid of the natural log, raise each side to the base e

e^1 = e^ (ln(x+8))

e^ln cancels

e^1 = x+8

Subtract 8 from each side

e^1 -8 = x+8-8

e -8 =x

Answer:

Step-by-step explanation:

Plug the numbers into the formula.  It might help you to know that 1 newton = 1 kg-m/s^2 .

2050000 kg-m/s^2 = 40000 kg * a

a = 2050000 / 40000 (m/s^2) = 51.25 meters / second^2