Solve each equation mentally.
2x = 10
-3x = 21
ws
1/3x = 6
- 1/3x = -7

Answer:

First: 3 units Second: 7 units Third: 9 units

Step-by-step explanation:

19=x+(x+4)+3x

19=5x+4

15=5x

x=3

first side is 3 units

3+4=7

second side is 7 units

3*3=9

third side is 9 units

Answer:

X = 12.21

Step-by-step explanation:

Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.

(10)^2 + (7)^2 = C^2

100 + 49 = C^2

149 = C^2

12.2065 = C

Rounded to two decimal places, this makes X equal to 12.21.

The required value of x is 12.21 for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.

(10)² + (7)² = x²

100 + 49 = x²

149 = x²

x = √149

x = 12.2066

Rounded to two decimal places,

x = 12.21

Therefore, the required value of x is 12.21.

Learn more about Pythagoras's theorem here:

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Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

Answer:

square 3x which equals to 3x squared the square x which equals to x squared then add 3x squared to x squared to get 4x squared and then take the square root which equals to 4x

Answer:

A. C.

Step-by-step explanation:

Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

I mist that one its not the first one

Step-by-step explanation:

Answer:

The correct answer is the last image...I just got it right on the quiz.

Step-by-step explanation:

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

3:8

Step-by-step explanation:

The ratio of Mina's age to Naomi's age is 3 : 4

Multiplying the above ratio by 2 = 6:8

The ratio of Lev's age to Mina's age is 1 : 2

Multiplying the above ratio by 3

= 3:6

Therefore, ratio of Lev's age to Naomi's age in simplest form.

= 3:8

Answer:

3:8

Step-by-step explanation:

Let L, M, and N stand for the three ages.

The given ratios tell us that

M = 2L

and

N = 4/3M.

Therefore,

N = 4/3 x 2L = 8/3L.

This means that Lev's and Naomi's ages are in the ratio 3:8.

Answer:

answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.

Answer:

A. Frozen yogurt

Step-by-step explanation:

The frozen yogurt costs less than the frozen custard, even though you get the same amount (3 ounces)

No matter how much money Marco has, he would be able to buy more of the frozen yogurt because it has a cheaper unit rate.

So, the answer is A, frozen yogurt

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

[tex]\text{Is XYZ a right triangle if x = 12, y = 17, and z = 20?}[/tex]

[tex]\bold{Well, right\ angles\ usually\ equal\ to\ about\ approximately \ 90^\circ$}[/tex]

[tex]\bold{12(17)(20)}\\\bold{12(17)=204}\\\bold{204(20)=4,080}\\\bold{4,080\neq90^\circ$}\\\boxed{\boxed{\bold{\underline{NO}, because\ 4,080\ DOES\ NOT\ equal\ to\ to\ 90^\circ }}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

2-4=4+7=11 so that is the answer begginer

Answer:

My guess would be B

Step-by-step explanation:

I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses

answer on Brainly.

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

Answer:

64 cups

Step-by-step explanation:

If 1 gallon is equal to 16 cups then 4 gallons will be 16×4= 64

Hope that helps you!

Answer:

-9a^2+64

Step-by-step explanation:

Answer:

it's either in between 1 and 2 or it is 2

Step-by-step explanation:

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

Answer:

1. 18π

2. 39.27cm

3. 4[tex]x^{5}[/tex][tex]z^{8}[/tex]

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Answer:

x = 2/3 and y = 8/9

Step-by-step explanation:

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

Given

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence x = 2/3 and y = 8/9

Answer:

Domain: [0, 4]

Range: [0, 4]

Function? Yes

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

Since we see that each x-value has a unique y-value and passes the vertical line test.

∴ the relation is a function.

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that,a =-5i and b = -4x

We have to find the value of a+b in a fully simplified form.

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

=a+b

= -5i-4x

Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

Learn more about the complex number here:

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Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

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

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6