2. A number 'a' is equal to the square of the number 'b' plus three times the
number'c
o Write a formula for 'a'

Answer:

When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

3 boards that are 12 feet long = 38÷2=19

Queremos encontrar dos números enteros tales que su diferencia sea de 6 y la suma de sus cuadrados sea igual a 260.

Veremos que los dos números son 8 y 14.

Primero, podemos definir esos números como A y B.

Entonces tenemos que:

A - B = 6

A^2 + B^2 = 260

Esto es un sistema de ecuaciones.

Para resolverlo, el primer paso es aislar una de las variables en una de las ecuaciones, vamos a hacer esto en la primera.

A - B = 6

A = 6 + B

Ahora reemplazamos esto en la otra ecuación.

A^2 + B^2 = 260

(6 + B)^2 + B^2 = 260

36 + 12*B + B^2 + B^2 = 260

36 + 12*B + 2*B^2 = 260

Ahora podemos resolver esto para B:

2*B^2 + 12*B + 36 - 260 = 0

2*B^2 + 12*B - 224

Las soluciones estan dadas por la formula de Bhaskara:

[tex]B = \frac{-12\pm \sqrt{12^2 - 4*2*(-224)} }{2*2} \\\\B = \frac{-12 \pm 44 }{4}\\\\B = (-3 \pm 11)[/tex]

Entonces las dos soluciones son:

B = -3 + 11 = 8

B = -3 - 11 = -14

Sabemos que los números son positivos, asi que elejimos la primera, entonces tenemos:

B = 8.

Con esto podemos calcular el valor de A como:

A - B = 6

A = 6 + B = 6 + 8 = 14

Entonces los dos números son:

8 y 14.

Si deseas aprender más, puedes leer:

https://brainly.com/question/24761554

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

Answer:

- 6-c/b

Step-by-step explanation:

3 ( c − b x ) = 18

=> c - bx = 18/3

=> -bx = 6 - c

∴ x = - 6-c/b

Hopefully this helps!!

The given formula written in the form of x as the subject is obtained as  x = (c - 6)/b.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given formula is  3(c − bx) = 18.

It is in the form of a linear equation.

It can be rewritten as follows,

3(c − bx) = 18

⇒ c − bx = 18/3

⇒ bx = c - 6

⇒ x = (c - 6)/b

Which implies the formula written as x as the subject.

Hence, the required form of the given formula is  x = (c - 6)/b.

To know more about Linear equation click on,

brainly.com/question/11897796

#SPJ2

Option B

Total difference

[tex]\\ \rm\Rrightarrow (81-72)-(76-69)[/tex]

The correct expression is (81 - 72) - (76 - 69).

Option 2 is correct.

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

The high and low temperature for Friday and Saturday is given in the table.

Temperature change = High Temperature - Low Temperature

To find the expression which tells how much greater the temperature change was on Friday than on Saturday:

= Temperature change on Friday - Temperature change on Saturday

= (81 - 72) - (76 - 69)

Hence, the correct expression is (81 - 72) - (76 - 69)

To learn more about arithmetic, click:

brainly.com/question/23848329

#SPJ2

Answer:

yes it's a function, but not a relation.

Step-by-step explanation:

Because it is a polynomial function

Answer:

WR = 16

Step-by-step explanation:

The centroid M is the point where the 3 medians intersect

The median is a segment that goes from one of the triangle's vertices to the midpoint of the opposite side.

WY is a median of the triangle , then

WY = YR = 8

WR = wy + yr = 8 + 8 = 16

Answer:

No

Step-by-step explanation:

10x - 4

x = 2/5

Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.

Answer:

Step-by-step explanation:

- 4x^3 / (- 4) = 32 / (- 4)

x should and cannot be negative or it shouldn't be for example (- x) = 90

cubic root (x^3) = cubic root (- 8)

x = cubic root (- 8)

x = 2i

what is "i"?

It is an imaginary number as you cannot square, cubic, or whatever root with a negative in it. so instead you must add "i" to remove the negative as a replacement and indicator that it was a negative number.

3/4

a double negative equals a positive

Answer:

3/4 is your answer

Step-by-step explanation:

Answer:

1280 is the answer. hope it helps you

Answer:

129º

Step-by-step explanation:

This is just a guess since you didn't include the diagram

b is supplemetary to a

therefor

b = 180 - a

b = 180 - 51

b = 129º

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]

(b)

7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]

c)

[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²

(d)

[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]

Answer:

number

Step-by-step explanation:

number than number lol sorry i dont know i wish i could help you

Answer:

vector.

Step-by-step explanation:

Answer:

I think the greater fraction is 27/5

Answer:

Step-by-step explanation:

what is greater: 19/5, 27/5, 10/3, 14/5​

fractions are divisions, we divide to see the greater

19/5= 3.8

27/5= 5.4

10/3= 3.33

14/5= 2.8

Answer:

add

subtract

multiply

Step-by-step explanation:

Answer: 20k

Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.

Answer:

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

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

check

90 + 30 + 60 = 180°

the answer is good

Answer:

y=-3x-9

Step-by-step explanation:

Let's find the slope of the line

m=-2-10/3--1

m=-12/4=-3

The equation is given as

y-y1=m(x-x1)

y--2=-3(x-3)

y+2=-3x+9-2

y=-3x-7-2

y=-3x-9

Answer:

The first option you have selected should be correct. if any doubt comment.

Answer:

The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2

Step-by-step explanation:

Answer:

x=54

Step-by-step explanation:

2x+13=3x-41

   -13       -13

__________

2x=3x-54

-3x  -3x

__________

-1x=-54

__   __

-1      -1

X=54

I Hope this helped <3

Answer:

x = 54

Step-by-step explanation:

If m||n, these two angles will be equal in degrees

3x - 41 = 2x + 13

3x - 2x = 13 + 41

x = 54

Answer:

x=43.25

Step-by-step explanation:

this is a isosceles triangle so the other angle is also x

2x+93.5=180

2x=86.5

x=43.25

Answer:

15 in i am guessing

Step-by-step explanation:

i need to know the height of the can first

The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.

A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.

Given that, the input and the output variables in this problem are as follows:

Input variable: Actual height = 80 in

Output variable: Height on set = 44 in

k = 44/80

k = 0.55.

Therefore, the equation is:

y = 0.55x.

Then the height on the set when the actual height is of 7 inches is given by:

y = 0.55(7) = 3.85 inches.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

Answer:

x-intercept(s): (-2, 0), (6, 0)

y-intercept(s): (0, -6)

Step-by-step explanation:

An x-intercept represents the point(s) at which the parabola intersects the x axis.  A parabola can have 0, 1, or 2 x-intercepts.  

A y-intercept represents the point at which the parabola intersects the y axis.  A parabola always has exactly 1 y-intercept.

Hope it helps :) and let me know if you're still confused.

Answer:

= 215008. 21 in²

Step-by-step explanation:

Answer:

If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent.  SSS

Step-by-step explanation:

or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent.  SAS

Answer:

3 square miles

Step-by-step explanation: