HELP. Drag the tiles to the correct boxes to complete the pairs.
Match each product of complex numbers with its value.

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Answer:

9x

Step-by-step explanation:

(x² + 2x) - (x² - 7x) ← distribute parenthesis

= x² + 2x - x² + 7x ← collect like terms

= 9x

Answer:

9x

Step-by-step explanation:

( x ² + 2 x ) - ( x² - 7 x )

Simply the expression

Remove unnecessary parantheses

combine like terms

Answer:

1/12 mile

Step-by-step explanation:

We can use a ratio to solve

7/12 miles       x miles

---------------- = ---------------

7 minutes       1 minute

Using cross products

7 /12 * 1 = 7x

Divide each side by 7

7/12 * 1/7 = x

1/2 = x

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

⠀

Randy walks 7/12 miles in 7 minutes

Sooo

He walks in one minutes is

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

Hence,

he walks in 1 minutes is 1/12 miles.

Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )

Answer:

c: y=(x-1)(x-3)

Step-by-step explanation:

Answer:

620

amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620

Answer:

7/25 or .28

Step-by-step explanation:

sin=opp/hyp

7/25

1. Divide 240 by 10 = 24

2. Multiply 24 • 8 = 192

Michele will need 192 oz. of mayonnaise.

Answer:

192 oz

Step-by-step explanation:

Hi there!

1) Create a proportion

[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]

2) Solve for x

[tex]\frac{8}{10} =\frac{x}{240}[/tex]

Multiply both sides by 240

[tex]\frac{8}{10} *240=x\\192=x[/tex]

Therefore, Michele would need 192 oz of mayonnaise.

I hope this helps!

Answer:

1) 11.75

2) 11.5

3) 11 and 14

4) 16.75

5) 13, and 16

Step-by-step explanation:

The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8

1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75

2) The data arranged in increasing order is presented as follows;

8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14

The count of he data points = 12

The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12  11)/2 = 11.5

The median = 11.5

3) The mode of the data set are 11 and 14

4) Where there are 5 more days per month that had a temperature above 40°C, we get;

The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5

5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;

8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2

10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16

Therefore, the mode are 13, and 16

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Answer:

B) 1.4

Step-by-step explanation:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

The maximum length of the seesaw is 1.4 meters

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the length of the seesaw, hence using trigonometric ratio:

sin(45) = 1 / h

h = 1.4 meters

The maximum length of the seesaw is 1.4 meters

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

Answer:

y = 5x + 19

Step-by-step explanation:

y = 5x + b

4 = 5(-3) + b

4 = -15 + b

19 = b

Answer:

Step-by-step explanation:

Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!

If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:

[tex]w=\frac{1}{2}t[/tex]  Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:

[tex]w=\frac{1}{2}(4)[/tex] and

w = 2. So we're good!

Answer:

No its doesn't satisfy the equation.

[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]

tan=sin/cos so tan=3/5/4/5=3/4

Answer:

SOH CAH TOA

3/5 opposite over hypotenuse

4/5 adjasent over hypotenuse

tan= opposite over adjasent which is 3/4

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3

=48+18

=66

The equation of the line is y + 1 = 3(x - 2).

The correct option is (3).

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

The line passes through the point (2, -1)

slope of the given line is 3

By using the slope intercept form of line:

y = mx + c

where m is the slope

c is the y intercept

The line passes through the point (2, -1) so substituting the point in the equation also m = 3

y = 3x + c

-1 = 3(2) + c

c = -7

The equation of the line now can be written as:

y = 3x - 7

y + 1 = 3x - 7 + 1

y + 1 = 3(x - 2)

Hence, the equation of the line is y + 1 = 3(x - 2).

To learn more about equation, click:

brainly.com/question/10413253

#SPJ5

Answer:

Slope-intercept

y = 3/4(x) - 7

Point slope

y -5= 3/4(x - 16)

Step-by-step explanation:

In slope-intercept

We have the general slope intercept as;

y = mx + b

where m is the slope and b is the y-intercept

in this case, m = 3/4 and b = -7

So we have;

y = 3/4(x) - 7

In point-slope

we have the general form as;

y-y1 = m(x-x1)

So what we have is as follows;

y -5= 3/4(x - 16)

Where we have (x1,y1) = (16,5)

Respuesta:

15%

Explicación paso a paso:

Dado :

Precio de compra = $ 4000

Precio de venta = $ 4600

El beneficio obtenido por la venta del artículo:

Precio de venta - precio de compra

$ (4600-4000) = $ 600

El porcentaje de beneficio obtenido:

Beneficio / precio de compra * 100%

600/4000 * 100%

600/4000 * 100%

0,15 * 100%

= 15%

Answer:

_____________________________

2 x 5 = 10

2 x 4 = 8

10 + 8 = 18

______________________________

5 + 4 = 9

_______________________________

_ 9 = 18

18 : 9 = 2

Answer:

mcd(28,48) = 4

Para encontrar el mcd de 28 y 48:

Los factores de 28 son 28, 14, 7, 4, 2, 1.

Los factores de 48 son 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.

Los factores en común de 28 y 48 son 4, 2, 1, los cuales intersectan los dos conjuntos arriba.

En la intersección de los factores de 28 ∩ factores de 48 el elemento mayor es 4.

Por lo tanto, el máximo común divisor de 28 y 48 es 4.

Answer:

Step-by-step explanation:

r=5 cm

area=πr²

perimeter=2πr

substitute the value of r and calculate.

Answer:

78.54 [tex]cm^{2}[/tex] Area

31.42 cm   Circumference/perimeter

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi[/tex]r

A = [tex]\pi[/tex][tex]5^{2}[/tex]

A = 25[tex]\pi[/tex]

A = 78.54

C = 2[tex]\pi[/tex](5)

C = 10[tex]\pi[/tex]

C = 31.42

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as [tex]x + 2y\geq 1200[/tex].​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are [tex]\$600[/tex] a term.

So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.

The fees for a boarding student are [tex]\$1200[/tex] a term.

The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.

Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:

[tex]\text{Total fees}=600x+1200y[/tex]

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

[tex]600x+1200y\geq 720000[/tex]

[tex]600(x+2y)\geq 720000[/tex]

Divide both sides by 600.

[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]

[tex]x+2y\geq 1200[/tex]

Hence proved.

Answer:

check footprints and then check finger print the finger print pour powder on it and Trace

Answer:

5.28

Step-by-step explanation:

we use the formula

H²=B²+P²

and we will get the answer

branliest if it is helpful

Answer:

Angle BXY

using pythogoras theory which is

hyp*2= opp*2 +adj*2

hypothenus being the longest part of the angle BX=?

Step-by-step explanation:

hyp= 4.2*2+ 3.2*2

hyp*2 =17.64 + 10.24

hyp*2 = 27.88

hyp =√27.88

hyp=5.28...Ans

note *2...square

Answer:

12,-2

Step-by-step explanation:

Answer:

.

Step-by-step explanation: