How to find the area of a triangle

Answer:

D

Step-by-step explanation:

So, let's say that we have the following equation:

[tex]x^2+bx=0[/tex]

And we want to complete the square.

What we need to do is to divide the coefficient of x by half. Square that. Then add that number to both sides.

The answer that reflects this is choice D.

For instance if we have:

[tex]x^2+4x=0[/tex]

Divide 4 by 2 and then square it.

4/2 is 2. 2²=4. Add 4 to both sides. Thus:  

[tex](x^2+4x)+4=0+4[/tex]

And now, we can complete the square:

[tex](x+2)^2=4[/tex]

Answer:

Step-by-step explanation:

[tex](-3,-3) =(x_1,y_1)\\ (-6,1)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\\ \\d = \sqrt{(-6-(-3))^2+(1-(-3))^2}\\ \\d = \sqrt{(-6+3)^2+(1+3)^2}\\ \\d = \sqrt{(-3)^2 +(4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25}\\ \\d =5[/tex]

Answer:

  -6, -1, 4, 9

Step-by-step explanation:

You can substitute the values and do the arithmetic:

  f(-1) = 5(-1) -1 = -5 -1 = -6

Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.

  f(0) = -6 +5 = -1

  f(1) = -1 +5 = 4

  f(2) = 4 +5 = 9

The (input, output) pairs are ...

  (-1, -6), (0, -1), (1, 4), (2, 9)

Answer:

let, one number be x

then, other number be x-3

X+X-3=15

or, 2X=15+3

or,2X=18

or,X=18÷2

or,X=9

one number =9

then another number=X-3=9-3=6

The system of equations with two numbers x ad y are,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Given that,

The sum of two numbers is fifteen.

And, One number is three less than the other.

Let us assume that,

Two variables for the numbers in the system of equations are x and y.

Hence, we can write the system of equations as,

The sum of two numbers is fifteen.

⇒ [tex]x + y = 15[/tex]

And, One number is three less than the other.

⇒ [tex]x = y - 3[/tex]

So, the system of equations is,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ4

Answer:

≈0.76

Step-by-step explanation:

P(A) = 0.33

P(A and B) = 0.25

P(B) = ?

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

Probability of two events happening is the product of individual probabilities

Then to find the probability of one of the events:

Answer:

(a) The probability that the house size is over 1371 square feet is 0.4483.

(b) The probability that the house size is under 1296 square feet is 0.3974.

(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.

Step-by-step explanation:

We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346  square feet with a standard deviation of 191 square feet.

Let X = the sizes of houses in Kenton County

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean size of houses = 1346 square feet

            [tex]\sigma[/tex] = standard deviation = 191 square feet

(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)

        P(X > 1371) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{1371-1346}{191}[/tex] ) = P(Z > 0.13) = 1 - P(Z [tex]\leq[/tex] 0.13)

                                                             = 1 - 0.5517 = 0.4483

The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.

(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)

        P(X < 1296) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1296-1346}{191}[/tex] ) = P(Z < -0.26) = 1 - P(Z [tex]\leq[/tex] 0.26)

                                                             = 1 - 0.6026 = 0.3974

The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.

(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)

       P(773 < X < 1637) = P(X < 1637) - P(X [tex]\leq[/tex] 773)

      P(X < 1637) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1637-1346}{191}[/tex] ) = P(Z < 1.52) = 0.9357

       P(X [tex]\leq[/tex] 773) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{773-1346}{191}[/tex] ) = P(Z [tex]\leq[/tex] -3) = 1 - P(Z [tex]\leq[/tex] 3)

                                                             = 1 - 0.9987 = 0.0013

The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.

Therefore, P(773 square feet < X < 1637 square feet)  = 0.9357 - 0.0013 = 0.9344.  

Answer:

D. [tex]5\cdot\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]5\div 2 =\frac{5}{2} \\\\5\times\frac{1}{2}\\\\=\frac{5}{1}\times\frac{1}{2}\\\\=\frac{5}{2} \\[/tex]

Answer:

- False

- True

- false

Step-by-step explanation:

- The variable that changes is the price

- 30 is the slope and 6 is the y-int

- 30(.75) + 6 = 28.5

Answer:

B. $840

Step-by-step explanation:

Given that

Rate of simple interest = 3.5%

Principal amount = $12,000

Time = 2 year

To find:

Interest earned = ?

Solution:

Formula for Simple Interest is given as:

[tex]S.I. = \dfrac{PRT}{100}[/tex]

Where P is the principal amount

R is the annual Rate of interest

T is the time for which principal was invested.

Here, we are given that:

P = $12,000

R = 3.5%

T = 2 years

Putting all the values in the formula:

[tex]SI= \dfrac{12000\times 3.5 \times 2}{100}\\\Rightarrow SI= 12\times 35 \times 2\\\Rightarrow SI = \$840[/tex]

So, answer is:

B. $840

Answer:

  a[n] = a[n-1] +(3n +2)

Step-by-step explanation:

The difference between Day 1 and Day 2 is 9 - 1 = 8 cells. The difference between a2 and a1 in each of the answer choices is a2 -a1 = ...

  3n = 3(2) = 6 ≠ 8

  n+2 = 2+2 = 4 ≠ 8

  3(n+2) = 3(2+2) = 12 ≠ 8

  3n +2 = 3(2) +2 = 8 . . . . . . this is the appropriate choice:

  [tex]\boxed{a_n=a_{n-1}+(3n+2)}[/tex]

Answer:

$20

Step-by-step explanation:

Please mark me as brainliest

Answer:

Elena's retirement party will cost $20 if she invites 10 guests.

Step-by-step explanation:

We know this because the problem tells us that the party will cost $16 if she invites 8 guests, which means that every guest costs $2 and if we multiply 2 and 10 we get 20.

Answer:

x+14.

Step-by-step explanation:

Sum of a number and 14 is x+14.

Answer:

V≈4778.36cm³

Step-by-step explanation:

Answer:

1/3πr^2h.

1/3×3.142×13^2×27.

1/3×14336.946

4778.982cm^3

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

Answer:

∠ AOB = 17.5°

Step-by-step explanation:

∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )

[tex]\frac{1}{3}[/tex] ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )

[tex]\frac{4}{3}[/tex] ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )

4 ∠ COD = 210 ( divide both sides by 4 )

∠ COD = 52.5°

Thus

∠ AOB = [tex]\frac{1}{3}[/tex] × 52.5° = 17.5°

Answer:

x=7, y=-2 (negative 2)

Step-by-step explanation:

Answer:

The answer is 1 1/9 ft

Step-by-step explanation:

Multiply 5/3 x 2/3 x 1

Answer:

y = 39

Step-by-step explanation:

|y−43|−|y−35| =0

add |y−35| to each side

|y−43|= |y−35|

This tells us that y must be between 35 and 43

That means |y−35| is positive so we can remove the absolute value signs

|y−43|  is negative so we negate each term ( or multiply by -1)

-y+43 = y - 35

Add y to each side

y-y+43 = y+y-35

43 = 2y -35

Add 35 to each side

43+35 = 2y

78 = 2y

Divide by 2

78/2 = 2y/2

39 = y

Answer:

Step-by-step explanation:

Answer:

small: 40:15    large: 120:45    all: 160:60

Step-by-step explanation:

the way i did this was

40÷8=5 i did this because we now need to multiply 5×3=15 because thats how we get the number of trash cans.

now do the same thing for the other one

120÷8=15 → 15×3=45

an easy way to check ur answers is to divide the ratio that is given to you (8:3 so 8÷3) and see if it gets the same number as ur new ratio (40:15 so 40÷15)

Im in 8th grade and I hoped this helped :)

Answer:

87.648

Step-by-step explanation:

It may be hard to multiply decimals. However, if you can break the decimal up into two separate equations, it can make it easier. Solving 73.04 x 1.2 is the same as solving (73.04 x 1) + (73.04 x 0.2). You already can say that 73.04 x 1 is 73.04. And then you can solve 73.04 x 0.2. Solving 73.04 x 0.2 is the same as solving 73.04 divided by 5, which will get you 14.608. Finally, all you have to do is add the two sums (73.04 + 14.608) which will get you your answer of 87.648.

Answer:

Output 2019 = 1.425 million dollar

Step-by-step explanation:

Given:

Output 2009 = 1.5 million dollar

Projected decrease output = 5%

Find:

Output 2019

Computation:

Output 2019 = Output 2009[100% - Projected decrease output]

Output 2019 = 1.5 [100% - 5%]

Output 2019 = 1.425 million dollar

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.

Area of the floor= length*width

Length= 19 feet

Width= 13 feet

Area= 19*13

Area= 247 feet²

Volume of the pod= area*height

Height of the pod= 5 feet

Area= 247 feet²

volume= 247*5

Volume= 1235 feet³

Answer:

1) The line AB can be renamed as BA   and  h

2 ) Points B, D and C are on the same line.

3)  ABE is the another name given to the plane F.

4) E is another point which is not coplanar with ABC.

5) Another name for CD is g or DC

6) AB CB DB are rays with end points B

7) BC and BD are opposite rays .

8) CB or g is another name for CD

Step-by-step explanation:

1) The line AB can be renamed as BA   and h

2 ) Collinear points are those points which lie on the same line. So points B, D and C are on the same line.

3) Points ABE define the plane F so ABE is the another name given to the plane F.

4) E is another point which is not coplanar with ABC. ( Coplanar points are those points which are situated on the same plane)So from the picture we see that point E lies far away from the plane of ABC.

5) Another name for CD is g or DC

6) AB CB DB are rays with end points B

7) BC and BD are opposite rays . ( A ray is a line which extends indefinitely . In simple words it has no end point. It may pass through certain points. It is represented by an arrow at one end.)

8) CB or g is another name for CD

Answer/Step-by-step explanation:

In mathematics, there's an order to follow in solving calculations like the problems given above. The acronym, PEDMAS illustrates or makes us remember which order to follow. The acronym stands for:

P - Parenthesis. Given any problem to solve, first, solve any operation within a parenthesis. That is, expressions that are grouped together.

E - Exponents. Next in line of priority order is to solve expressions involving exponents.

D - Division

M - Multiplication

A - Addition, and

S - Subtraction.

Now, solve each expression given in the correct order of operation using PEDMAS:

10 - 3³ ÷ 9

10 - 27 ÷ 9

10 - 3

= 7 (the order of operation is EDS = Exponent, Division, and lastly, Subtraction)

7² ÷ (4 + 3)

7² ÷ 7

49 ÷ 7

= 7 (order of operation = PED)

7 × 5 - 2²

7 × 5 - 4

35 - 4

= 31 (EMS)

(6 + 2²) × 10

(6 + 4) × 10

10 × 10

= 100 (PM)

3 × 6 + 8²

3 × 6 + 64

18 + 64

= 82 (EMA)

4³ - 10 ÷ 5

64 - 10 ÷ 5

64 - 2

= 32 (EDS)

3² × 2 - 9

9 × 2 - 9

18 - 9

= 9 (EMS)

9 × 3² - 8

9 × 9 - 8

81 - 8

= 73 (EMS)

6² ÷ 3 - 5

36 ÷ 3 - 5

12 - 5

= 7 (EDS)

(9 - 5)² ÷ 4

(4)² ÷ 4

16 ÷ 4

= 4 (PED)

3x +5 = 2x +15

Subtract 5 from both sides:

3x = 2x + 10

Subtract 2x from both sides:

X = 10

Answer:

The answer is x=10.

3x-2x=15-5.

x=10.

Answer:

a and c are undefined.

b and d are zero.

Step-by-step explanation:

Vertical lines are undefined because of division by 0  (a and c).

The run is zero.

Horizontal lines have a slope of 0 (b and d).

The rise is zero.

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3(2x+2)=18+4(x-5)[/tex]

Distribute the left and the right:

[tex]3(2x)+3(2)=18+4(x)+4(-5)[/tex]

Simplify:

[tex]6x+6=18+4x-20[/tex]

Combine on the right:

[tex]6x+6=4x-2[/tex]

Subtract 4x from both sides. The right cancels:  

[tex](6x+6)-4x=(4x-2)-4x\\2x+6=-2[/tex]

Subtract 6 from both sides. The left cancels:

[tex](2x+6)-6=(-2)-6\\2x=-8[/tex]

Divide both sides by 2:

[tex](2x)/2=(-8)/2\\x=-4[/tex]

Thus, the value of x is -4.

Answer:

x = -4

Step-by-step explanation:

3(2x + 2)=18 + 4(x - 5)

6x + 6= 18 +4x - 20

6x - 4x = -2-6

2x = -8

x = -4