Find the perimeter of each polygon created by the coordinates.
A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)

a) 16.7

b) 14

c) 15.2

Answer:

x₁ = -4

x₂ = 0.5

Step-by-step explanation:

x² + 3.5x - 2 = 0                 * 2

2x² + 7x - 4 = 0 ​

(2x + 8)(2x -1)/2 = 0

2(x + 4)(2x - 1)/2 = 0

(x + 4)(2x - 1) = 0

x + 4 = 0

x₁ = -4

2x - 1 = 0

2x = 1

x₂ = 1/2

x₂ = 0.5

Answer: 35%

Step-by-step explanation:

8 + 5 + 7 = 20

50% = 10

25% = 5

10% = 2

5% = 1

25% + 10% = 5+2

35% = 7

Answer:

40 blueberry jelly beans

Step-by-step explanation:

Let us represent blue berry beans = b

Cherry jelly beans = c

Camilla has twice as many blueberry jelly beans as cherry jelly beans.

Hence,

b = 2c .........Equation 1

After eating 10 pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans.

hence,

b - 10 = 3(c - 10)

b - 10 = 3c - 30

Collect like terms.

- 10 + 30 = 3c - b

20 = 3c - b .........Equation 2

Subtitute 2c for b in Equation 2

20 = 3c - 2c

20 = c

Hence, she had 20 cherry jelly beans.

In the question, we are asked to find how many blueberry jelly beans she had.

Hence,

b = 2c .........Equation 1

Substituting 20 for c in Equation 1

b = 2 × 20

b = 40

Therefore, she originally had 40 blueberry jelly beans

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed { \sf{x = 27}}}}}[/tex]

Step-by-step explanation:

Given, value of y = 4

To find : Value of x

[tex] \sf{3x - 4y = 65}[/tex]

plug the value of y

[tex] \dashrightarrow{ \sf{3x - 4 \times 4 = 65}}[/tex]

Multiply the numbers : 4 and 4

[tex] \dashrightarrow{ \sf{3x - 16 = 65}}[/tex]

Move 16 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{3x = 65 + 16}}[/tex]

Add the numbers : 65 and 16

[tex] \dashrightarrow{ \sf{3x = 81}}[/tex]

Divide both sides by 3

[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{81}{3} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{ x = 27}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

-4 x 4=-16 so you add the 16 to the 65 and get 81 so then you divide the 3 from the x so it would be 81/3=27

Answer:

-14

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

4x−8=12

Step 1: Add 8 to both sides.

4x−8+8=12+8

4x=20

Step 2: Divide both sides by 4.

4x

4

=

20

4

x=5

Answer:

One solution, x=5.

Step-by-step explanation:

4x-8=12

To find the solution we have to find the value of x.

to find the value of x, we have to add 8 to BOTH sides.

4x-8=12   (Why add 8? because we have to do the opposite of the sign!)

   +8  +8

4x=20

Now to find X we have to ISOLATE IT.

So we take out 4, How? We do the opposite to both sides.

4/4 Cancels out

20/4 = 5

So now we know X=5

Insert in the main problem to check.

4(5)-8=12

20-8=12

12=12

Answer:

b=ra-2x

Step-by-step explanation:

You solve for b by simplifying both sides of the equation then isolating the variable.

Answer:

d 50.02

Step-by-step explanation:

Answer:

They installed 2 7 .6 6 trailers altogether

Step-by-step explanation:

Given that:

A landscaper installs 12 sections of trail

he's & his partner installs 12.5 sections of Trellis

the neighbor installs $3.16 sections of Trellis.

The number of trailers they install together can be calculated by finding the summation of all the value given.

i.e

The number of trailers they install together;

        1 2 . 0 0

=    + 1 2 . 5 0

           3 . 1 6    

        2 7 .6 6

Answer:

c.

Step-by-step explanation:

Let x be the number of adults in Tim's family. Then (17 - x) is the number of children in Tim's family.

We have $34x + $31.5(17 - x) = $558.

$34x + $31.5(17 - x) = $558

$34x + $535.5 - $31.5x = $558

$2.5x = $22.5

x = 9

Hence the answer is c.

Answer:

-9

Step-by-step explanation:

negative divided by positive = negative.

Answer:

4 times p

Step-by-step explanation:

Answer:

2 5/12

Step-by-step explanation:

you can combine two fractions if they have the same denominator (bottom number) by adding the numerators (top numbers) and keeping the bottom number the same.

1/12+4/12 is the same as 1+4 you just put the sum over 12:

2 1/12+4/12= 2 5/12

it can also be written as 29/12

Answer:

  27 13/24 inches

Step-by-step explanation:

Assuming the reported monthly growth is for the first month, the height will be ...

  22 7/8 + 4 2/3 = (22 +4) +(21/24 +16/24) = 26 +37/24 = 27 13/24

The height of the plant after the first month is 27 13/24 inches.

_____

Your graphing calculator can add these mixed numbers for you.

Answer:

cool!

Step-by-step explanation:

Answer:At the end of the day, he is [162 + 207 - 285]  = 84  ft above his starting height

Step-by-step explanation:

C.171

Step-by-step explanation:

4×7(2)-25

4×49-25

multiply 4×49=196-25

then subtract 196-25=171

Answer:

C. 171

Step-by-step explanation:

[tex]4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\[/tex]

Answer:

Step-by-step explanation:

cdfbdfbf

Answer:

"then a student earns a b"

Step-by-step explanation:

Step-by-step explanation:

Point T is between Points S and U, where all 3 points are collinear.

Therefore ST + TU must be equal to SU.

(2x + 6) + 4 = 4x

2x + 10 = 4x

2x = 10

x = 5.

Hence, length of ST = 2(5) + 6 = 16.

The length of ST will be 16 units.

A line segment is basically a line with two end points.

two or more than two co-linear points is needed to form a line segment.

In the given question

Line segment is SU

Point T is in between point S and point U here all the points are co-linear

SU = ST + TU

4x = (2x + 6) + 4

4x = 2x + 10

2x = 10

x = 5

∴ The length of  ST = 2x + 6 = (2×5) + 6 = 16 units

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Answer:

The answer you're looking for is 3

Step-by-step explanation:

Answer:

[tex]3[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{21}{[2*(19-14)-3]}[/tex]

First, subtract the values in your parentheses.

At this point, we can remove the brackets.

[tex]\frac{21}{2(5)-3}[/tex]

Multiply.

[tex]\frac{21}{10-3}[/tex]

Subtract.

[tex]\frac{21}{7}[/tex]

Simplify.

[tex]3[/tex]

Answer:

-25.17 miles per gallon.

-It costs $49.02 to fill your tank.

Step-by-step explanation:

-To find the miles per gallon, you can use a rule of three:

17.2 gallons →  433 miles

    1 gallon   →        x

x=(1*433)/17.2= 25.17

If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.

-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:

$2.85*17.2=$49.02

It costs $49.02 to fill your tank.

Answer:

work is shown and pictured

Answer:

[see below]

Step-by-step explanation:

We would need to undo the equation and preform inverse operations to get 'x' on one side. First, we need to get rid of 28 by adding 28 to each side. This would leave us with 7x on one side. Then, we wound divide each side by 7. This would leave us with 'x = 8'. If we plugged in the value, then it would satisfy the equation.

[tex]7x-28=28\\\\7x-28+28=28+28\\\\7x=56\\\\\frac{7x=56}{7}\\\\ \boxed{x=8}[/tex]

Checking the answer:

[tex]7(8)-28=28\\\\56-28=28\\\\\boxed{28=28}[/tex]

Hope this helps.

Answer:

[tex]3^4[/tex]

Step-by-step explanation:

There are four  3's

[tex]3\times 3\times3\times3 = 81\\\\3^4 = 81[/tex]

Answer: 3⁴

Explanation: Exponential form contains a base and an exponent.

The base is the number that is multiplied.

So in this case, 3 is the base.

Next we write the exponent which is the

number of times that the base is multiplied.

Since 3 is multiplied four times, the exponent is 4.

So in exponential form, 3 · 3 · 3 · 3 can be written as 3⁴.

Answer:

(0,2) (3,1)

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A and D.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

If we want to know whether a point is a solution to the equation or not, substitute it in the line and check whether both sides of the equation are equal or not.

A) 0,2

x + 3y = 6

0 + 3(2) = 6

6 = 3

B) 0,6

x + 3y = 6

0 + 3(6) ≠ 6

18 ≠ 6

C) 2,6

x + 3y = 6

2 + 3(6) ≠ 6

2 + 18 ≠ 6

D) 3,1

x + 3y = 6

3 + 3(1) = 6

3 + 3 = 6

6 = 6

E) 4,1

x + 3y = 6

4 + 3(1) ≠ 6

4 + 3 ≠ 6

F) 6, 2

x + 3y = 6

6 + 3(2) ≠ 6

6 + 6 ≠ 6

Hence, the correct option is A and D.

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Answer:

Factors of 64: 1, 2, 4, 8, 16

Step-by-step explanation:

Answer:

47 and 49

Step-by-step explanation:

This would not be between two consecutive whole numbers. Any number from 47.5 and less than 48 would round up, and any number from 48 to less than 48.5 would round down. It might be consecutive odd numbers that you meant, or your question is not clear enough.

Answer:

b < 5

Step-by-step explanation:

-2b + 4 > -6                ⇒ subtract 4 from both sides

-2b > - 6 - 4

-2b > -10                     ⇒ divide both sides by -2, it will change inequality sign to opposite

b < 5                           ⇒ answer

Answer:

Points N and K are on a plane A and plane S ( True )

Points P and M are on a plane B and plane S

Point P is the intersection of line n and line g ( True )

Points M, P, and Q are noncollinear ( True )

Line d intersects plane A at point N.

Step-by-step explanation:

Just took the test and got it right :)

The true are 1, 3, 4 and false are 2, 5.

To choose the statement are true or false.

A surface in which if any two points are chosen a straight line joining them lies completely in that surface. A plane is a flat, two-dimensional surface that prolongs infinitely far.

Given that:

1. Points N and K are on plane A and plane S.

From  that points N and K are on the plane A and on the plane S. Thus, this option is true.

2. Points P and M are on plane B and plane S.

From points P and M are on the plane B, but point M doesn't lie on the plane S. So, this option is false.

3. Point P is the intersection of line n and line g.

Point P lies on the line n as well as on the line g, therefore it is the point of intersection of these two lines. This option is true.

4. Points M, P, and Q are noncollinear.

It is true, because points M, P and Q do not lie on the same line at one time, that means they are noncollinear.

5. Line d intersects plane A at point N.

From the line d intersects plane S at point L, not at point N, then this option is false.

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Diagram is missing.

Answer:

46 1/2 miles

Step-by-step explanation:

Given:

Distance = 15 1/2 miles

Time = 1/3 hour

Distance =?

Time = 1 hour

Distance : time

15 1/2 miles : 1/3 hour = ? miles : 1 hour

31/2 miles ÷ 1/3 bout = x miles / 1 hour

31/2 × 3/1 = x / 1

93 /2 = x

x = 93/2 miles

= 46 1/2 miles

Therefore, the bus will travel 46 1/2 miles in an hour