What is the solution of the system? Use elimination.

3 (-5x-2y=6)
3x+6y=6

Answer:

5.9

Step-by-step explanation:

Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use

[tex] {4}^{2} + {4}^{2} = {c}^{2} [/tex]

which simplify to

[tex]16 + 16 = {c}^{2} [/tex]

[tex]32 = {c}^{2} [/tex]

[tex] \sqrt{32} [/tex]

which is about 5.9

Answer:

Step-by-step explanation:

perimeter=2(100+16)

                =2(116)

                =232 cm

area=100(16)

       =1600 cm²

Answer:

i dont know lol

Step-by-step explanation:

Answer:

Drawing an angle in standard position always starts the same way, draw the initial side along the positive x-axis. To place the terminal side of the angle, you must calculate the fraction of a full rotation the angle represents.

Answer:

Get the number of rotations of the given angle by dividing 360 degrees with respect to positive x-axis.

Step-by-step explanation:

1. First draw a horizontal line (along x-axis).

2. Locate the terminal side of the angle by dividing 360 degrees. Recall that one full rotation is equal to 360 degrees.  So, to sketch 360 degrees, we will divide it by 360 degrees resulting in 1.

3. Similarly to draw 180 degrees, divide 180 by 360. This will result in 1/2. Therefore, it is half the way from x-axis.

Answer:

The cost of the sweater would be $17.28

The ratio is 24:1000 or 0.024.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

72 millimeters to 3 meters

Now, Convert 3 meter to millimeter

3 meter= 3 x 1000

             = 3000 mm

Then, ratio is

= 72 / 3000

= 24/1000

= 0.024

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

Answer:

D. 35x-35y+21

Step-by-step explanation:

Answer:

x = 2

Explanation:

according to BPT theorem,

BD BE

---- = ----

DA EC

6 x+1

--- = ----

4 x

6x = 4x +4 ( cross multiplication)

transposing,

6x -4x=4

2x= 4

x= 2

hence x=2

BE = x+1 =2+1 =3

EC = x =2

Answer:

3 ONE

IS IT RIGHT

Answer: 2(4)+2b=30  /missing lenght=11

Step-by-step explanation: We know the equation of a rectangle is 2a+2b=perimeter    "a" and "b" both represent a side length

2(4)+2b=30         <--- Plug in the know side lenght

8+2b=30            

8(-8)+2b=30(-8)  <--- Subtract "8" from both sides to further solve

2b=22

2b/2=22/2          <--- Divide each side by "2"

b=11

Answer:

Other root is 9 and p = 7.

Step-by-step explanation:

x^(2) - (3p-4)x + 11p-5 = 0 ,   x = 8.

Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:

8* A = 11p - 5

8 + A = -(-(3p - 4))

8 + A = -(-3p + 4)

8 + A = 3p - 4

A = 3p - 12.

Multiply this last equation by 8:

8A = 24p - 96

Now subtract the first equation from this:

8A - 8A =  24p - 11p - 96- (-5)

0 = 13p - 91

13p - 91 = 0

p = 91/13 = 7

and A = 3(7) - 12

= 9.

Answer:

Other root 9, p is 7

Step-by-step explanation:

Answer:

he initial number of water lily’s :the value 1.106 represents the population increase rateedge

Step-by-step explanation:

The value 3.915 represents the initial population in the exponential equation of water lilies.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

The standard exponential equation is given as; y = ab^x

where;a is the initial population b is the rate (growth or decline)

We have been Given the exponential equation; y = 3.915(1.106^x)

On comparison, we can see that,

a  = 3. 915

Hence, This shows that the value 3.915 represents the initial population of water lilies.

Learn more on exponential equation here:

brainly.com/question/2456547

#SPJ2

Answer:

[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]

Step-by-step explanation:

If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math

Answer: The number of girls on the debate team increased each year during these 5 years.

Step-by-step explanation:

Answer:

Part 1)

$170 + $1.21x = $491.86

Part 2)

170 + 1.21x + 491.86

1.21x = 491.86 - 170

1.21 x = 321.86

1.21x/ 1.21 = 321.86/ 1.21

x = 266 units produced

Part 3)

Twice that number of units = 266 x 2 = 532

$170 + ($1.21 x 532) =

$170 + $643.72 = $813.72

Answer:

C≈81.68

Step-by-step explanation:

I hppe this helps! ^^

☁️☁️☁️☁️☁️☁️☁️☁️

That would be 194 my friend!

Answer:

194

Step-by-step explanation:

1.

Step 1: Flip the equation.

p=2w+21

Answer:

p=2w+21

2.

Step 1: Add -b to both sides.

Step 2: Divide both sides by 2.

Answer:

a= −1 /2b+1/2 c

3.

Step 1: Add 2a to both sides.

−2a+b+2a=c+2a

b=2a+c

Answer:

b=2a+c

Answer:

4

Step-by-step explanation:

In a parallelogram AO and OC are equal. Therefore you should set up the equation 3x-4=8. When you add 4 to both sides you get 3x=12. When you divide both sides by 3 you get x=4

Answer:

x = 6

Step-by-step explanation:

AC = 5x - 24

AO = 3

AC and BD bisect each other at point O. This means AC ≅ CO.

So, 2(AO) = AC.

2(3) = 5x - 24

Multiply.

6 = 5x - 24

Combine the constants.

30 = 5x

Divide by 5.

x = 6

Answer:

A)

1.

Statement is - Vegetables are good for your health.

Let P - There are Vegetables , Q - they are good for health

Conditional statement is -If there are Vegetables , then they are good for the health.

Inverse Statement is - If there are no Vegetables, then they are not good for health.

Converse statement - If they are good for health , then they are vegetables.

Contra-positive statement - If they are not good for health , then they are not vegetables.

2.

Statement is - 3x + 8 = 14, x = 2

Let P - 3x + 8 = 14 , Q - x = 2

Conditional statement is -If 3x + 8 = 14 , then x = 2.

Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.

Converse statement - If x = 2 , then 3x + 8 = 14

Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14

3.

Statement is - A right triangle has a 90° angle.

Let P - Triangle has a 90° angle , Q - It is right triangle .

Conditional statement is -If Triangle has a 90° angle , then It is right triangle.

Inverse Statement is - If Triangle has not a 90° angle , then It is not right triangle.

Converse statement - If It is right triangle , then Triangle has a 90° angle.

Contra-positive statement - If It is not a right triangle  , then Triangle has not a 90° angle.

4.

Statement is - An eagle is a bird .

Let P - It is an eagle  , Q - It is a bird

Conditional Statement - If it is an eagle , then it is a bird.

Inverse statement - If it is not eagle , then it is not bird.

Converse statement - If it is a bird , then it is an eagle.

Contra-positive statement - If it is not a bird , then it is not an eagle.

5.

Statement is - A whale is a mammal

Let  P - It is a whale , Q - It is a mammal

Conditional Statement - If it is a whale , then it is a mammal.

Inverse statement - If it is not whale , then it is not mammal.

Converse statement - If it is a mammal , then it is a whale.

Contra-positive statement - If it is not a mammal , then it is not a whale.

6.

Statement is - Two circle with equal diameters are congruent

Let  P - Two circles have equal diameters , Q - They are congruent

Conditional Statement - If Two circles have equal diameters , then they are congruent.

Inverse statement - If two circles have not equal diameters , then they are not congruent.

Converse statement - If two circles are congruent , then they have equal diameters.

Contra-positive statement - If two circles are not congruent , then they have not equal diameters.

7.

Statement is - An angle that measures between 90 and 180 degrees is obtuse  angle

Let  P - An angle that measures between 90 and 180 degrees , Q - They are obtuse angle.

Conditional Statement - If An angle that measures between 90 and 180 degrees , then they are obtuse angle.

Inverse statement - If An angle that does not measures between 90 and 180 degrees , then they are not obtuse angle.

Converse statement - If an angle is obtuse angle , then that angle measures between 90 and 180 degrees.

Contra-positive statement - If an angle is not an obtuse angle , then that angle does not measures between 90 and 180 degrees.

8.

Statement is - Two planes with no common point are parallel.

Let P - Two planes have no common point , Q - they are parallel.

Conditional Statement - If Two planes have no common point , then they are parallel.

Inverse statement - If two planes have common point , then they are not parallel.

Converse statement - If two planes are parallel, then they have no common point.

Contra-positive statement - If two planes are not parallel, then they have common point.

9.

Statement is - Carrot is rich in Vitamin A.

Let P -  There are carrots , Q - they are rich in Vitamin A

Conditional statement is -If There are carrots , then they are rich in Vitamin A.

Inverse Statement is - If there are no carrots , then they are not rich in Vitamin A.

Converse statement - If they are rich in Vitamin A , then they are carrots

Contra-positive statement - If they are not rich in Vitamin A , then they are not carrots.

10.

Statement is - All reptiles have scales.

Let  P - All are reptiles , Q - they all have scales.

Conditional statement - If all are reptiles , then they all have scales.

Inverse statement - If all are not reptiles , they have no scales.

Converse statement - If all have scales , then all are reptiles.

Contra-positive statement - If all have no scales , then they all are not reptiles.

B)

1. Both the conditional and converse  statements are true.

Bi-conditional statement - There are vegetables if and only if they are good in health.

3. Both the conditional and converse  statements are true.

Bi-conditional statement - A triangle has a 90° angle if and only if it is a right triangle.

6. Both the conditional and converse  statements are true.

Bi-conditional statement - Two circle are equal diameter if and only if they are congruent.

7. Both the conditional and converse  statements are true.

Bi-conditional statement - An angle that measures between 90 and 180 degrees if and only if it is an  obtuse  angle.

8. Both the conditional and converse  statements are true.

Bi-conditional statement - Two planes has no common point if and only if they are parallel.

Answer:

p= 1125

Step-by-step explanation:

p-275= 850

p- 275= 850

  + 275  +275

p= 1125

P= the original population minus D= decrease in population is equal to C= the current population

p-d=c

Answer:

1125 people

Step-by-step explanation:

We don't know the exact quantity, but we know it has decreased by 275 and it's currently 850, so we will represent it like this:

x - 275 = 850

x = original amount of people

Now we just solve it like any equation

x = 850 + 275

x = 1125

Hope it was helpful ;)

Answer: 2 11/24

Step-by-step explanation:

How many hours does the plane save?

Time taken for the train = 5 1/8

Time taken for the plane = 2 2/3

The number of hours saved will then be:

= 5 1/8 - 2 2/3

Let the lowest common multiple be 24

= 5 3/24 - 2 16/24

= 2 11/24

The number of hours saved by the plane will be 2 11/24