Multiply and Simplify 3i(4-3i)-i(2+1)

Answer:

The answer is C

Step-by-step explanation:

25^2 = 625

20^2 = 400

625+400 = 1025

sqrt(1025) is the answer

Answer:

5 cups of flour need to make two cakes

Answer:

192 km

Step-by-step explanation:

80 km in 6 hours

N km in 2.5 hours

6/2.5 = 2.4

80 x 2.4 = 192

192 km

x^3 + 2x^2 + x + 2 = (x^2 + 1) (x + 2).

Answer:

a = 10

d = 5

Step-by-step explanation:

[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]

a + 4d = 30 ------------------(I)

[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]

a + 12d =70 -------------(II)

Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d

(I)         a +   4d = 30

(II)*(-1)   -a - 12d = -70   {Now add}

               - 8d   =  - 40

Divide both sides by (-8)

d = -40/-8

d = 5

Plugin d = 5 in equation (I)

a + 4*5 = 30

a + 20 = 30

a = 30 - 20

a = 10

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

I passed 7th grade with a B

Answer:

3 3/4

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

[tex]4 \times \frac{1}{2} \div \frac{3}{4 [/tex]

Answer:

Step-by-step explanation:

The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.

Answer:

side length of the triangle

Step-by-step explanation:

The perimeter of a triangle is the sum of the sides

For an equaliateral triangle all sides are the same length

if x = length

perimeter = x + x + x = 3x

Answer:

side length of the triangle

Step-by-step explanation:

The perimeter of a triangle is the sum of the sides

For an equaliateral triangle all sides are the same length

if x = length

perimeter = x + x + x = 3x

Answer: C

Step-by-step explanation: the key is to look at the relationships between the numbers. The y value increments by 5.5 or 5 respectively, which LOOKS like additive. However, it is actually multiplicitve, since the question is the relation between X and y, not the y values. From there you can simply test that 5x1=5, 5x2=10, etc, etc.

Answer:

B. One whole number one over two. 1½

Answer:

whats

Step-by-step explanation:

[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]

With the help of a helpful website...

a = √(c² - b²)

a = √(3² - 2²)

a = √(9 - 4)

a = √(5)

x = √(c² - b²)

x = √((√(5))² - 2²)

x = √(5-4)

x = √(1)

x = 1! YOU WERE RIGHT!

Answer:

angle f ≈ angle m

Answer:

∠F=∠M

Step-by-step explanation:

They are corresponding angles.

Hope this helps!

Answer:

108/43

Step-by-step explanation:

[tex](6\frac{2}{3}-\frac{2}{3}) : (\frac{8}{9}+1\frac{1}{2}) =[/tex]

[tex]= 6 : (\frac{16}{18}+\frac{3}{2}) =[/tex]

[tex]= 6 : (\frac{16}{18}+\frac{27}{18}) =[/tex]

[tex]= 6 : (\frac{43}{18}) =[/tex]

[tex]= 6 * \frac{18}{43} =[/tex]

[tex]= \frac{108}{43}[/tex]

Answer:

17

Step-by-step explanation:

[tex]60+2x=94 \\ \\ 2x=34 \\ \\ x=17[/tex]

Answer:

i) good luck

Step-by-step explanation:

Answer:

sorry hindi ko alam hirapuwu

Answer:

Square lot and 187500

Step-by-step explanation:

To find question number A, we can calculate the area of each lot. The square plot is:

2/5×2/5=4/25

The first one is

2/3×3/8=1/4

Then we can make both have the same denominator:

1/4=25/100, 4/25=16/100

That means that the square lot is bigger.

We know that the area is 1/4 square mile. So it's 1/4 of 750,000

That's

1/4×750000=187500

Hope that helps! :)

(a) Slope is rise over run, or change in y over change in x.

1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )

2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )

3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )

(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.

1 & 2 -> Parallel

1 & 3 -> Perpendicular

2 & 3 -> Perpendicular

     Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Line 1: slope: 1

Line 2: slope: -3/2

Line 1 and line 2: neither

Line 3 slope: - 1/3

Line 1 and 3: neither

Line 2 and 3: neither

Step-by-step explanation:

Line 1: (-5,-8) and (-1,4)

Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3

Line 2: (2,7) and (0,10)

Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2

Line 3. ((-6,-3) and (6,-7)

Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3

Answer:

I think it is 24 cus it's more bigger and cooler and hotter and shorter and butter

Answer:

p = - 5

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

( 3 , p )

( 2 , 2 )

m = - 7

[tex]\frac{2-p}{2-3}[/tex] = - 7

2 - p = - 7 ( - 1 )

2 - p = 7

p = - 5

Answer:

[tex]y=\frac{1}{2}x-1[/tex]

Step-by-step explanation:

To find the equation of the line you will use the slope-intercept formula [tex]y=mx+b[/tex]

[tex]slope=m=\frac{rise}{run}[/tex]

Answer:

There is no picture you need to post the picture first

Answer: Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

Answer:

Step-by-step explanation:

1) Area of triangle= 1/2 x b x h

b = 7.6cm h= 3.4cm

Area= 1/2 x 7.6 x3.4 = 12.92cm²

2)Divide the shape into a triangle and a rectangle

Area of rectangle : l x b

L= 20cm, b= 7cm

= 20 x 7 = 140 cm²

Area of triangle =1/2 x b xh

B = 20cm, h= 16 - 7 = 9cm

1/2 x 20x 9= 90cm²

Total area = 140 + 90 = 230cm²

3) area of triangle = 1/2 x b x h

B = 12cm, h= 5cm

= 1/2 x 12 x 5 = 30cm²

4) area of triangle = 1/2 x b x h

B = 15cm, h= 8cm

= 1/2 x 15 x 8 = 60cm²

5) divide the shape into two rectangles; the lower and the upper

Area of rectangle= l x b

Upper rectangle, l= 10cm, b= 27 - 9 = 18cm

Area= 10 x 18= 180cm²

Lower rectangle, l= 24cm, b= 9cm

Area = 24 x 9= 216cm²

180 + 216 = 396cm²

Answer:perpendicular bisector of the line segment joining the points A(5,2) and B(4,2).

Step-by-step explanation: