13. Find the roots of the quadratic equation by using the quadratic formula and factorization method (i) x 2 – + 10 = 0

9514 1404 393

Answer:

  all space diagonals meet in the center of the prism

Step-by-step explanation:

The center of the prism is halfway between any pair of parallel faces. The dimension to it is half the dimension between the faces.

One way to find it is by seeing where the space diagonals meet.

Answer:

It would take Micheal 22 days.

Step-by-step explanation:

The end goal is to have 80 and we begin with 14

So, 80 - 14 = 66 pieces left to collect

If he collects 3 per day we'll divide 66 by 3, which equals 22

Therefore it takes him 22 days  

Answer: (1,-2) , (4,1)

Step-by-step explanation:

Given

The two curves are [tex]y=x^2-4x+1[/tex] and [tex]y=x-3[/tex]

From the figure, it observed that the two curves intersect at (1,-2) and (4,1).

So, the ordered pair from least to greatest is (1,-2) and (4,1)

Answer:

I BELIEVE ITS C {^_^}

Step-by-step explanation:

The trigonometric function y = 3cos(πx) has a period 2.

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

a is the function's amplitude.

The function's wavelength is b.

The phase shift of a function is c.

We already know that y = cosx has a 2 period.

The period is calculated as T= 2π/b and if T = 2.

y = 3cosx

2=2π/b

b= 2π/2 = π.

learn more about trigonometric functions here :

https://brainly.com/question/6904750

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Answer:

0

9

-2

-23

Step-by-step explanation:

a function f(x) defines a y-value for any valid x-value.

that's why it is often written as y = f(x).

the inverse function of an original function just turns the question upside down.

now we want to see for a given y-value of the original function, what was the original x-value to get this y.

therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.

so, in our example

f(x) = y = -4x - 3

4x + y = -3

4x = -y - 3

x = (-y - 3) / 4

in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".

so, the inverse function is therefore as a function of x

y = (-x - 3) / 4

for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0

when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.

so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.

for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2

for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.

Answer:

∠GIH or ∠HIG

Explanation:

Just make sure the vertex of the angle is the middle letter. In this case, it is I.

Answer:

2. angle BAD is equal to angle DCB?

3. angle CBA is equal to angle ADC, then

4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA

Step-by-step explanation:

since line BCD is equal to line DAB

AND line CBA is equal to line ADC

and because BEA triangle equals DEC, angles BEA and DEC are congruent

and angle BEC is equal to DEA

and yeah your right, it would be supplementary.

Answer:

I believe that

1) Isosceles, acute

3) Scalene, obtuse

5) Isosceles, right

7) Equilateral, acute

Step-by-step explanation:

This should help in the future. :)

Answer:

LN = 14

Step-by-step explanation:

diagonals of a parallelogram bisect each other so

LN = 2LP

LN = 2*7

LN = 14

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2  ,   y1 + y2/2)

=(-8 + 4/2  ,  2-(-2)/2)

=(-4/2  ,  2+2/2)

(-2  ,  2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 3)^2 + (2 - 7)^2}[/tex]

=[tex]\sqrt{(6)^2 + (-5)^2}[/tex]

=[tex]\sqrt{36 + 25}[/tex]

=[tex]\sqrt{61}[/tex]

=7.8 unit

Answer:

∠SVU = 49°

Step-by-step explanation:

∠SVU is an inscribed angle and arc SU is the arc it intercepts

If you didn't know an inscribed angle is equal to half the measure of its intercepted arc.

Hence ∠SVU = arc SU / 2

if arc SU = 98

Then ∠SVU = 98/2 = 49

Answer:

14x^3 LCD

(35x+4) / 14x^3

Step-by-step explanation:

5 /2x^2  + 2 / 7x^3

We need to find the least common denominator

2x^2  =2 *x*x

7x^2 = 7*x*x*x

x*x is common so we need to multiply that by 2*7*x

The least common denominator is 2*7*x*x*x = 14 x^3

To add the two, multiply to get the common denominator)

5/2x^2 * (7x/7x) +  2/7x^3 *(2/2)

35x/14x^3 + 4/14x^3

(35x+4) / 14x^3

Answer:

CDEF and GHIJ

Step-by-step explanation:

This prism is composed by parallelograms. A parallelogram is composed by two pairs of parallel lines

two parallelograms that are parallel can be: CDEF and GHIJ

Answer: -112/8=-14

Step-by-step explanation: Quotient means to divide.

Answer:

the slope of the graph is 3/2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Integer

Answer:

-75

Step-by-step explanation:

-39 = 24 +(n-1)(-7)

-39 = 24 +7-7n

-39 = 31-7n

7n = 31+39

7n=70

n=10

the sum = 10/2 × (24-39)

= 5 × -15

= -75

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

a linear expression is the form

[tex]y = mx + b[/tex]

Answer:

44 degrees

Step-by-step explanation:

The angles x + 2 and x are complementary; they sum up to 90 degrees.

Thus, x + 2 + x = 90 degrees, or:

2x = 88, or

x = 44.

The value of x is 44 degrees.

<EAD (2nd option)

The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.

Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one

Step-by-step explanation:

f(x)=2x+1 and g(x)=x²-7

(f/g)(x) = (2x+1)/(x²-7)

Answer:

pls answer my questions plsss

Answer:

75

Step-by-step explanation:

87°

Step-by-step explanation:

We know that sum of angles of triangle is 180 ° .

21° + 72° + x = 180°

combine like terms

93 ° + x = 180 °

Subtract 93 ° from each side

93° - 93° + x = 180° - 93°

x = 87 °

The midpoint formula:

[tex] \large \boxed{( \frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2} )}[/tex]

From the graph, the point starts from (-3,2) and ends at (4,-1).

Substitute these points in the formula.

[tex] \large{( \frac{ - 3 + 4}{2} , \frac{2 - 1}{2}) = ( \frac{1}{2} , \frac{1}{2} )}[/tex]

Hence the midpoint is (1/2,1/2)

Answer

Answer:

60 is the median

Step-by-step explanation:

Answer:

9(x + 2)

Step-by-step explanation:

3/5(x+30)

multiply fractions

3(15x + 30)/5

factor 3(15x + 30) = 45(x + 2)

divide the numbers

45(x + 2)/5

45/5=9

= 9(x + 2)

Answer:

9x + 18

Step-by-step explanation:

[tex]\frac{3}{5} ( 15x + 30 )[/tex]

9x + 18

Answer:

AC = 7.42

Step-by-step explanation:

Draw a picture!

∠ACB = 90 - 38 = 52º

Use Law of Sines

AC/sin38 = 9.5/sin52

AC = 9.5/sin52 * sin38

Use calculator

AC = 7.422213451813815

AC = 7.42   Rounded to 3SF

Answer:

The answer to this problem is True.

Answer:

E + F = 2c² + 5c + 4

Step-by-step explanation:

[tex]E = 6c^2 - 2c - 1 \\\\F = -4c^2 + 7c +5\\\\E + F = (6c^2 - 2 c -1) + ( -4c^2 + 7c +5)[/tex]

         [tex]=(6c^2 -4c^2) +(-2c + 7c) + (-1 + 5)[/tex]      [tex][\ arranging \ terms\ ][/tex]

         [tex]= 2c^2 + 5c + 4[/tex]

___________________________________

[tex]\quad\quad\quad\quad\tt{E = 6 {c}^{2} - 2c - 1}[/tex]

[tex]\quad\quad\quad\quad\tt{ F = - 4 {c}^{2} + 7c + 5}[/tex]

[tex]\quad\quad\quad\quad\tt{E + F = ?}[/tex]

[tex]\quad\quad\quad\tt{(6 {c}^{2} - 2c - 1) + ( - 4 {c}^{2} + 7c + 5)}[/tex]

[tex] \quad\quad\quad\quad\tt{ ⟶(6 {c}^{2} ) + ( - 4 {c}^{2}) = \boxed{ \pink{2 {c}^{2} }}}[/tex]

[tex] \quad\quad\quad\quad\tt{ ⟶ ( - 2c) + ( 7c) = \boxed{ \pink{5c }}}[/tex]

[tex] \quad\quad\quad\quad\tt{ ⟶ ( - 1) + ( 5) = \boxed{ \pink{4 }}}[/tex]

[tex] \quad\quad\quad\quad\tt{E + F =2 {c}^{2} + 5c + 4 }[/tex]

[tex] \quad\quad\quad\quad\tt{\boxed{ \boxed{ \color{magenta}{ 2 {c}^{2} + 5c + 4 }}}}[/tex]

___________________________________

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✍︎ C.Rose❀

Answer:

Cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones. Es decir, resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

Si compro 2 bombones de chocolate negro y 5 de chocolate blanco, la suma da $40. Si compro 4 bombones de chocolate negro y 2 de chocolate blanco, gasto $26. Siendo:

Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{2*x+5*y=40} \atop {4*x+2*y=26}} \right.[/tex]

El método de sustitución consiste en aislar en una ecuación una de las dos incógnitas para sustituirla en la otra ecuación.

Entonces, aislando la variable x de la primer ecuación:

[tex]x=\frac{40-5*y}{2}[/tex]

Sustituyendo en la segunda ecuación:

[tex]4*\frac{40-5*y}{2}+2*y=26[/tex]

Resolviendo:

[tex]\frac{4}{2}* (40-5*y)+2*y=26[/tex]

2* (40-5*y)+2*y=26

2*40- 2*5*y+2*y=26

80- 10*y+2*y=26

- 10*y+2*y=26 -80

-8*y= -54

y= (-54)÷ (-8)

y= 6,75

Reemplazando en la expresión [tex]x=\frac{40-5*y}{2}[/tex], se obtiene:

[tex]x=\frac{40-5*6,75}{2}[/tex]

[tex]x=\frac{40-33,75}{2}[/tex]

[tex]x=\frac{6,25}{2}[/tex]

x= 3,125

Entonces, cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75