The perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answer:

jk(x) = -16x^2 -12x+10

Step-by-step explanation:

j(x) = -4x+2

k(x) = 5+4x

jk(x) = (-4x+2) (5+4x)

FOIL

-4x*5 +-4x*4x +2*5 +2*4x

Combine like terms

-20x-16x^2 +10+8x

-16x^2 -12x+10

jk(x) = -16x^2 -12x+10

Answer:

X + Y     and    x+0+(y+0)    are both correct

Step-by-step explanation:

Explanation is on the image  

Option A, x + y and B. x + 0 + (y + 0)

(x + 0) + y + 0 is equivalent to.

equation is the relationship between variable and represented as    is example of polynomial equation.

(x + 0) + y + 0
= x + 0 + (y + 0 )
= x + y

Thus both the option A. and B. is correct.

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we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.

[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]

To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.

To find out how much of each color to mix, we can set up a proportion.

Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.

We can set up the following equation:

1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons

Cross multiplying gives us:

5x = 1.5(16.25 - x)

Simplifying the equation gives us:

5x = 24.375 - 1.5x

Combining like terms gives us:

6.5x = 24.375

Dividing both sides by 6.5 gives us:

x = 3.75

So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.

Put the answer into a calculator;

-√17 = -4.123105626

√17 = 4.123105626

Round to the nearest tenth by looking at the 2nd digit after the decimal point. If it is 5 or greater, round up, otherwise round down.

-√17 = 4.123105626

2 is less than 5, so we leave it as it is.

-√17  ≈ -4.12

√17 = 4.123105626

2 is less than 5, so we leave it as it is.

√17 = 4.12

v ≈ -4.12, 4.12

Let c = angle TPS

This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.

We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.

So we have these two equations

a+c = 90

b+c = 90

If we were to subtract straight down then we would end up with

a-b = 0

which solves to

a = b

after adding b to both sides

Answer:

Step-by-step explanation:

[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]

Answer: 9 or -9 it can be both

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the square root is fundamentally just what two numbers multiply together to make the number within the square root

9 x 9 = 81

so 9 is the square root

also think of the root of the square

9^2 the root in this case is the nine and te answer is 81

Answer:

16x^2

Step-by-step explanation:

To find the area of a square, we use the formula

A = s^2  where s is the side length

A = (4x)^2

A = 16x^2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to find how to find the area.

length*width

Since all sides of a square are the same:

4x*4x

16x^2 is the area of the square.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ TROLLER (don't worry, I didn't troll you)

Answer:

Step-by-step explanation:

Factor all the factors making up the square root.

108: 2*2*3*3*3

a^7: a*a*a*a*a*a*a

b^5:b * b * b * b * b

The rule for taking a square root of this is

For every pair, you get to take one number outside the root sign and throw the other one away.

2*3*a * a * a* b * b√(3*a * b)

6a^3b^2 * √(3*a*b)

Answer:

a variable numerator

Step-by-step explanation:

Answer:

Before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Before an algebraic fraction is selected as a final answer, we check that the answer is in the form of p/q, where q≠0 and HCF(p,q)=1.

Let a algebraic equation is

[tex]4x+4=18[/tex]

Subtract 4 from both sides.

[tex]4x=14[/tex]

Divide both sides by 4.

[tex]x=\frac{14}{4}[/tex]

Now cancel out the common factors.

[tex]x=\frac{7}{2}[/tex]

The final answer in algebraic fraction is 7/2.

Therefore, before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

Answer:

100 $

Step-by-step explanation:

Hello

If

300 $ ----> 3 days

X -----------> 1 day

X = [300*1] / (3)

X = 100 $

Best regards

Answer: 5 cents less

Step-by-step explanation:

The unit price for the 24 pack would be $1.10 and the unit price for the 12 pack would be $1.15.

Answer:

0.05

Step-by-step explanation:

Answer:

x = -6   x=4

Step-by-step explanation:

x^ 2 + 2 x = 24

Subtract 24 from each side

x ^2 + 2 x-24 = 24-24

x^2 +2x -24 = 0

Factor

What 2 numbers multiply to -24 and add to 2

6*-4 = -24

6+-4 = -2

(x+6) (x-4) =0

Using the zero product property

x+6 =0           x -4=0

x+6-6=0-6     x-4+4=0+4

x = -6   x=4

Answer:

6/7

In decimal form it would be 0.85714285714

Answer:

6/7

Step-by-step explanation:

Add 2/7 and 8/14:

Recognize that the LCD is 14.  Rewrite 2/7 as 4/14.

Then 4/14 + 8/14 = 12/14.  This reduces to 6/7.

Ken ate 6/7 of the chocolate bar in two days.

Answer:

Its the third choice.

Step-by-step explanation:

V = 1/3  pi r^2 h

= 1/3 pi 4^2 * 10

= (160/3) pi cm^3.

Answer:

third one:)

Step-by-step explanation:

i took the k12 test

Answer:

A^2+B^2=C^2

B^2=C^2-A^2

B=SQRT(C^2-A^2

Step-by-step explanation:

Answer:

[tex]b=\sqrt{c^2-a^2}[/tex].

Step-by-step explanation:

The given expression is [tex]c^2=a^2+b^2[/tex].

We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.

[tex]c^2-a^2=b^2[/tex].

We take the square root of both sides to get;

[tex]\pm \sqrt{c^2-a^2}=b[/tex].

Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then

[tex]b=\sqrt{c^2-a^2}[/tex].

Bonsoir,

Combien fait 87$ augmenté de 200% ?

87 $ x 200/100 = 174 $ d'augmentation,  

174 + 87 = 261 $

Answer:

A) 4

Work is shown in attached sheet! :)

Answer:

Option A is correct

Common ratio = 4

Step-by-step explanation:

Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.

[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]

As per the statement:

The values in the table represent a exponential function.

Since, Geometric sequences and exponential functions are very closely related to each other.

At x= 1;

y = 9

At x = 2;

y = 36 and so on....

By definition we have;

[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]

After solving we get;

r  =4

Therefore, the common ratio of the associated geometric is, 4

Answer:

20 + 8 + 0.1 + 0.09

Step-by-step explanation:

Answer:

20 + 8 + 0.1 + 0.09

20 wholes +8 wholes =28 then...

.1 tenth+.09 hundereths=.19 add..

28+.19=.  28.19

➷ Add 24 to both sides:

x^2 + 10x + 24

Find two values that multiply to make 24 but add to make 10

As you will notice, this is 6 and 4

Now factorize it:

(x + 4)(x + 6)

The values of x would be the opposite of what is in the parenthesis

Therefore x = -4 or x = -6

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

x= -6                    x=-4

Step-by-step explanation:

x2 + 10x = −24

Add 24 to each side

x2 + 10x+24 = −24+24

x2 + 10x +24=0

Factor

(x+6) (x+4) = 0

Using the zero product property

x+6 = 0             x+4 = 0

x+6-6 = 0-6      x+4-4 =0-4

x= -6                    x=-4

Answer:

Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean

Answer:

The answer is 18.5.

Step-by-step explanation:

First, we have to add them all.

7 + 12 + 21 + 34 = 74

Next, we divide the sum by how many numbers we added (we added four numbers).

74 / 4 = 18.5.

I hope this helped! :-D

Answer:

The unit rate is 0.11 $/ounce

Step-by-step explanation:

we know that

To find the unit rates divide the total cost by the total volume

so

(6/54)=0.11 $/ounce

Answer:

Step-by-step explanation:

12/5 is the answer.

Median: Order the numbers from least to greatest and look in the center for the median; if two numbers add together than divide by 2

78,79,86,88,88,88,92,95, so the median is 88 because when 2 numbers are the same, you can just take the shortcut and say it because you are going to get the same number

The mode is 88

The mean is 86.75

And the range is 17

Can I have brainliest if it is correct plz?

Answer:

This person below is correct. (i wrote this so you could mark them brainliest cus you need 2 answers to be able to mark) :)

have a great day

[tex]3(x+4)=3x+12[/tex

Answer:

3x + 12

Step-by-step explanation:

3(x+4) => (3 · x) + (3 · 4) => 3x + 12

Answer:

x^3 - 7x^2 + 4x + 30

Step-by-step explanation:

The equation is already simplified to its fullest if we're looking at factored form.

Otherwise, just multiply everything out using a punnett square.

Answer:

x^3 - 7x^2 + 4x + 30

Step-by-step explanation:

I just did this one hope this helps

Answer:

8.398

Step-by-step explanation:

If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal

8398 / 10 = 839.8 Move the decimal 1 place.

839.8/100 = 8.398 Move the decimal 2 places.

In both instances, move the decimal left.

Answer:

The volume of cube =  x³ -6x²y + 12xy² - 8y³

Step-by-step explanation:

It is given that,

Side length of cube s = (x - 2y)

Volume of cube = s³

Points to remember

(a - b)³ = a³ - 3a²b + 3ab² - b³

To find the volume of cube

s = (x - 2y)

Volume V = s³ = (x - 2y)³

(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³

  = x³ -6x²y + 12xy² - 8y³

Therefore the volume of cube =  x³ -6x²y + 12xy² - 8y³

Answer:

[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Step-by-step explanation:

We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.

[tex]Volume =  (x-2y)^3[/tex]

We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]

So expanding the given expression accordingly:

[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]

Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Small cooler can hold= 6 gallons

and big cooler can hold= 30 gallons

Let the numbers of gallons hold by a small cooler is: x gallons

and the number of gallons hold by a bigger cooler is: 5x gallons.

( Since it was given that:

The bigger cooler is 5 times as large as the smaller cooler  )

Also the total number of gallons of punch for a party is: 36 gallons

Hence, we get:

   x+5x=36

i.e.  6x=36

On dividing both side by 6 we get:

   x=6

Hence, the number of gallons hold by small cooler is: 6 gallons

and number of gallons hold by big cooler is: 5×6=30 gallons

store a single drink cost $3/12 =25c

store b single drink cost $5.50/ 22 = 25c

store c single drink cost $4.75/18 = 26c

store d single drink cost $8/36 = 22c

hence store d offers the best buy

To determine the best buy among four stores selling soft drinks, compare the price per can or pack for each store. Store D offers the best buy with a cost of approximately $0.22 per can.

To determine which store offers the best buy, we need to compare the prices per can or pack of each store.

Therefore, Store D offers the best buy with a cost of approximately $0.22 per can.

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