solve for x: 3(x + 1) = −2(x − 1) + 6.

Step-by-step explanation:

Answer:

-3

3/2

Step-by-step explanation:

Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.

slope. Choose two points. For the sake of explainin, I am choosing

(-3,1)

and (0,3). That’s the y intercept!!

The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run

the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)

Rise= 3

run =2

Slope=rise/run=3/2

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular

Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

Answer:

1.22

53.08

Step-by-step explanation:

4. We can find the quarter circle, we can find the whole triangle, lets do that

The circle is, 1/4*(1)^2*pi, which is 1/4pi

The triangle is, 2 * 2 divided by 2, which is 2

2 - 1/4pi gives us the shaded part or

2 - 1/4*3.14

2 - 0.785 = 1.215 rounded to 1.22

5. The area of a cylinder is pir^2h. r is 10, h is 1.2

12pi cm^3

we have 20 m^3 which is 2000 cm^3

Let's divide,

2000/37.68 = 53.078, rounded gives us 53.08

Answer:

If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

Answer:

A Strawberries generally cost less.

D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.

Step-by-step explanation:

A and D

Step-by-step explanation:

2/5 x 1/3 = 2/15 inches squared

Answer:

Part 1 d/a = a/f

d/b = b/c

e/c = c/f

Explanation:

The triangles are similar.

This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.

Part 2:

78

Explanation:

Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.

5x –19 = 2x +11

3x = 30

x= 10

5(10) –19 = 31

2(10) + 11 = 31

Add the three sides: 31 +31 +16 = 78

Part 3:

Sin A= Cos B. both are a/b

Sin C= Cos A both are c/b

Sin C = c/b

Explanation:

Remember S=o/h, C=a/h , T=o/h

Look at the relationship of the sides to the angles given. If the sides match, the statement is true.

Sine of angle A is side a to side b. This is opposite/hypotenuse

Cosine of angle B is side a to side b This is adjacent/hypotenuse.

The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.

This can be confusing, but the more you practice, the easier it gets.

I hope this helps!

Answer:

Wassss uppppp

Step-by-step explanation:

i dont know

Answer:

$900

Step-by-step explanation:

Given that:

Principal, p = 5000

Interest, r = 6%

Period, t = 3 years

Using the relation :

Simple interest = Principal * Rate * Time

Simple interest = $5000 * 0.06 * 3

Simple interest = $900

Hence, amount of interest earned = $900

Answer:

Top left    Top middle     Bottom Left       Bottom right

Step-by-step explanation        

If the angle makes an "L" it is a 90 degrees angle or a right angle

If the angle makes a "V" it is less than 90 degrees or an acute angle

If the angle makes a "Stretched out  V" it is more than 90 degrees or an obtuse angle

The option that represents the acute angle will be option A, option B, option D, and option F.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

Then the option that represents the acute angle will be option A, option B, option D, and option F.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Answer:

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

Answer:

.........jdjdjdndjxbxbbxx

Answer: A because it keep going none stopping

Step-by-step explanation:

Step-by-step explanation:

For no. 4

x = 180° - 98° - 50°

x = 32°

For no. 5

x = 180°- 67°-56°

x = 57°

For no. 6

x = 180° - 22° - 47°

x = 111°

Hope it will help :)❤

Answer:

The predicted diameter of a tree after 12 years is 9 inches.

Step-by-step explanation:

The average diameter of the tree is represented by [tex]y = \frac{3}{4}\cdot x[/tex]. The predicted diameter of the tree after 12 years is determined by evaluating the linear function at [tex]x = 12[/tex]. That is:

[tex]y = \frac{3}{4}\cdot (12)[/tex]

[tex]y = 9[/tex]

The predicted diameter of a tree after 12 years is 9 inches.

Answer:

1242

Step-by-step explanation:

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Divide by the amount of consecutive numbers (4 in this instance)

It will be within a small range of those numbers

ex. The sum of 3 consecutive even integers is 24.

24/3 =8

Now guess and check

4+6+8=18 that's not 24 so don't add 4 instead on the other side of 8 put 10

6+8+10=24

Do roughly the same thing

All four consecutive even integers are;

-226 , -224 , -222 , -220

What is Integers?

An integers is a whole number which can be positive, negative or zero.

Given that;

Sum of four consecutive even integers is -892.

Let four consecutive even integers are;

2x , 2x + 2 , 2x + 4 and 2x + 6

Since, Sum of four consecutive even integers is -892.

Hence, We can formulate;

2x + 2x + 2 + 2x + 4 + 2x + 6 = -892

8x + 12 = -892

Subtract 12 both sides,

8x + 12 - 12 = -892 - 12

8x = -904

Divide by 8,

x = -904 / 8

x = - 113

So, All four even numbers are;

2x = 2 × -113 = -226

2x + 2 = -226 + 2 = -224

2x + 4 = -226 + 4 = -222

2x + 6 = -226 + 6 = -220

Thus, All four consecutive even integers are;

-226 , -224 , -222 , -220

Learn more about the integers visit:

https://brainly.com/question/929808

#SPJ5

i believe it’s (0,4) since it’s asking for vertex.

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

Answer:

Let the adjacent angles of the rhombus be 2x and 3x.

we know that the sum of the measures of the adjacent angles is equal to 180°.

2x+3x=180

=5x=180

=x=180/5

=x=36°

Hence,AB =BC=2×36°=72°

AD=DC=3×36°=108°

Hence,The angles of the rhombus are 72°,108°, 72°and108°.

I hope it's helpful!

Answer: Priya can make 15 burgers with 5 pounds of meat

Step-by-step explanation:

Step 1

From Priya's receipe,

1 burger can be made from  1/3 of a pound of meat  

  How many burgers can be made from 5 pound of meat

Step 2 Using the equation below, that

1 burger = 1/3 pound of meat

Therefore 5 pounds of meat

5 x 1 / 1/3 = 5/(1/3)

= 5 x3 = 15 Burgers.

Answer:

10a+6b=T------------2

Step-by-step explanation:

Given data

Let the number of adults be a

and the number of children be b

we are told that the total tickets is 100

hence

x+y=100-------------1

The cost of adult ticket = $10

The cost of children ticket = $6

since the total cost is T

Hence

10a+6b=T------------2

Answer:

Yes

Step-by-step explanation:

The line has to be loner to connect the other two.

Answer:

nice flex

Step-by-step explanation: