if equation by parabola is given by, p(x) = x^2 -5x + 6 then its factors are:
A. (x-3)
B. (x-2)
C. Both (a) and (b)
D. None of the above

Answer:

A.1/3 B.5/8 C.1/25

Step-by-step explanation:

just simplify it down to the lowest

Answer:

Ä. 16/24 as reduced fraction = 2/3

B. 15/24 as reduced fraction= 5/8

Answer:

C. 7 units

Step-by-step explanation:

The given parameters are;

The length of the chord of the circle, [tex]\overline{AC}[/tex] = 14 units

The orientation of the radius and the chord = The radius is perpendicular to the chord

We have in ΔAOC, [tex]\overline{AO}[/tex] = [tex]\overline{OC}[/tex] = The radius of the circle

[tex]\overline{OB}[/tex] ≅ [tex]\overline{OB}[/tex]  by reflexive property

The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord [tex]\overline{AC}[/tex]

ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)

[tex]\overline{AO}[/tex] and [tex]\overline{OC}[/tex] are hypotenuse sides of ΔAOB and ΔCOB respectively and [tex]\overline{OB}[/tex] is a leg to ΔAOB and ΔCOB

Therefore;

ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency

Therefore;

[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] by definition of congruency

[tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] by segment addition postulate

∴ [tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] =  [tex]\overline{AB}[/tex] + [tex]\overline{AB}[/tex] = 2 ×  [tex]\overline{AB}[/tex]

∴  [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex]/2

[tex]\overline{AB}[/tex] = 14/2 = 7

[tex]\overline{AB}[/tex] = 7 units.

Answer:

7 units

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

This is basically asking how many 7/10 's fit in 1/5. Or 1/5 divided by 7/10.

1/5 divided by 7/10 is the same as 1/5 times the reciprocal, 10/7. Therefore it is 1/5*10/7, or 10/35.

That simplifies to 2/7.  

Answer:

22/7 is not pi

Step-by-step explanation:

22/7 is just a close approximation for pi, not pi itself.

If you put 22/7 into a calculator, you get:

3.142857...

While the number pi itself is:

3.1415926...

You can notice that pi is actually different than 22/7, even though the two numbers start out the same and are close to each other. Frequently in geometry, you use 22/7 as pi because it's so close and makes calculation easier.

Hope this helps!

Answer:

continuous, continuous

Step-by-step explanation:

Answer:

Rhombus, Square, Parallelogram :)

Step-by-step explanation:

I just did this question and I got the three answers above right. I hope this helps!

Answer:

If Point A (8,4) is reflected over point (6,−2), then that point becomes (4, -8).

Let me know if this helps!

Answer:

x=1

Step-by-step explanation:

log2( x^2 -x+2) = 1+2log2(x)

Rewriting 1 as log2(2)

log2( x^2 -x+2) = log2(2)+2log2(x)

We know that a log b = log a^b

log2( x^2 -x+2) = log2(2)+log2(x^2)

we know log a + log b = log (ab)

log2( x^2 -x+2) = log2(2*x^2)

Since the bases are the same the terms inside must be equal

x^2 -x+2 = 2x^2

Subtract 2x^2 from each side

-x^2 -x+2 = 0

Multiply by -1

x^2 +x-2 = 0

Factor

(x+2)(x-1)=0

Using the zero product property

x+2 = 0  x-1=0

x=-2  x=1

Checking the solutions

log2( x^2 -x+2) = 1+2log2(x)

X cannot be negative because 2 log2(x) cannot be negative

log2( 1^2 -1+2) = 1+2log2(1)

x=1

[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=1+2log_2x[/tex]

[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=log_22+2log_2x[/tex]

[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=2log_2(2x)[/tex]

[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=log_2(2x^2)[/tex]

[tex]\\ \rm\Rrightarrow x^2-x+2=2x^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+x-2=0[/tex]

[tex]\\ \rm\Rrightarrow (x+2)(x-1)=0[/tex]

log is always positive so x=1

Laws used

Answer:

When you plot the graph, you may see a line or a curve. This presents the trend of the relationship of the two quantities when the independent variable changes.

Graphs visually depict patterns and trends, while equations provide precise mathematical descriptions, both revealing valuable information about the relationship between two quantities.

Graphs visually represent data and patterns, allowing us to identify the nature of the relationship between two quantities. The slope and intercepts of a graph provide information about the rate of change and the values when one quantity is zero.

Equations, on the other hand, offer precise mathematical descriptions of the relationship. The form of the equation reveals the nature of the relationship, while coefficients and constants provide specific information. Solving equations yields solutions that satisfy the relationship.

Both graphs and equations work together to provide a comprehensive understanding of the relationship between two quantities, with graphs offering visual insights and equations providing precise mathematical information.

Learn more about equations here;

https://brainly.com/question/4803354

#SPJ6

Answer:

The blue dot is located at -3

B

Step-by-step explanation:

Might be wrong

Answer:

Step-by-step explanation:

This is a geometric means problem. Namely, n is the geometric mean between the 2 smaller triangles within that larger one. Set up the problem accordingly:

[tex]\frac{28}{n}=\frac{n}{7}[/tex] and cross multiply:

[tex]n^2=196[/tex] so

n = 14

Answer:

Answer is x=1 inthe sentences

Answer:

6 and 14

Step-by-step explanation:

let the second number=x

the first number=3x-4

(x+3x-4)+5=25

4x-4+5=25

4x+1=25

4x=25-1

4x=24

x=6

Since x is the first number,the first number is 6

second number=3•6-4

=18-4=14

Answer:

Step-by-step explanation:

In a parallelogram, this one in particular:

KR = RM

JR = RL

We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that

KM = KR + RM, but since KR and RM are the same length, the equation becomes

KM = 2KR. Filling that in with the expressions I'm given for KM and KR:

3x - 5 = 2(x + 7) and

3x - 5 = 2x + 14 and

x = 19. Now I can find the length of JL:

JL = 4x - 10 so

JL = 4(19) - 10 and

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.

El área del cuadrado es de 3 centímetros cuadrados.

Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:

Aplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.

Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.

Aprende más en https://brainly.com/question/16405529

El área del cuadrado es de 18 centímetros cuadrados.  

El procedimiento de resolución se basa en conocer que la Medida de la Diagonal de un Cuadrado inscrito es igual a la Medida del Radio del Círculo, lo cual permite determinar el valor de la medida del Cuadrado en función del Radio del Círculo. Finalmente, determinamos el Área del Cuadrado mediante su fórmula conocida.

Dado que existe un cuadrado inscrito en un círculo, la medida de la diagonal del cuadrado es igual a la medida del radio del círculo. Además, conocemos que un cuadrado está formado por 4 triángulos rectángulos con configuración angular 45-45-90. Entonces, la medida del lado del cuadrado se calcula mediante la siguiente relación geométrica:

[tex]l = \sqrt{2}\cdot R[/tex] (1)

Donde:

[tex]R[/tex] - Radio del círculo, en centímetros.

[tex]l[/tex] - Longitud del lado del cuadrado, en centímetros.

Por otra parte, la ecuación de área del cuadrado es igual a:

[tex]A = l^{2}[/tex] (2)

Donde [tex]A[/tex] es el área del cuadrado, en centímetros cuadrados.

Si sabemos que [tex]R = 3\,cm[/tex], entonces el área del cuadrado es:

[tex]l = \sqrt{2}\cdot (3\,cm)[/tex]

[tex]l = 3\sqrt{2}\,cm[/tex]

[tex]A = (3\sqrt{2}\,cm)^{2}[/tex]

[tex]A = 18\,cm^{2}[/tex]

El área del cuadrado es de 18 centímetros cuadrados.  

He aquí una pregunta relacionada sobre el área del cuadrado: https://brainly.com/question/23915250

Respuesta:

A = 1/16 × x²

Explicación paso a paso:

Un alambre de longitud x se dobla en forma de cuadrado. Como un cuadrado tiene 4 lados iguales la longitud de cada lado (l) será:

l = 1/4 × x

Para calcular el área de un cuadrado (A) usaremos la siguiente fórmula.

A = l²

A = (1/4 × x)²

A = 1/16 × x²

Answer:

0.63 ÷ 0.3 = 63 x 10^-2 ÷ 3 x 10^-1 = 63 / 3  x 10^(-2--1) = 21 x 10^-1 = 2.1

Answer:

2.1.

Step-by-step explanation:

63/3 = 21

0.63 = 63 / 100

and 0.3 = 3 / 10

so 0.63/0.3 = 63 /100 / 3/10 = 63/100 * 10/3

= 63/3 / 10

So the answer is 21 / 10 = 2.1.

Answer:

x^4+x^2+5

Step-by-step explanation:

f(x) = x^2 -3x+7

g(x) = x^2+2

f(g(x) =  Place g(x) in for x in the function f(x)

       = (x^2+2)^2 -3(x^2+2) +7

FOIL and Distribute

       = x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7

Combine like terms

    = x^4+x^2+5

Answer:

It will take 25 minutes

Step-by-step explanation:

4% every minute for 25 mins is 4x25=100

Answer:

18

Step-by-step explanation:

RQ = (22+14)/2 = 36/2 = 18

Answer:

QR = 18

Step-by-step explanation:

The midsegment QR is half the sum of the parallel bases, that is

QR = [tex]\frac{JM+KL}{2}[/tex] = [tex]\frac{22+14}{2}[/tex] = [tex]\frac{36}{2}[/tex] = 18

Answer: 79

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

10x² - 7x + 10

x = 3

Substitute the value into the expression

= 10 (3)² - 7 (3) + 10

Simplify by multiplication

= 10 (9) - 21 + 10

= 90 - 21 + 10

Simplify by subtraction

= 69 + 10

Simplify by addition

= 79

Hope this helps!! :)

Please let me know if you have any questions

Answer:

92

Step-by-step explanation:

The variable 'x' shows up twice in this expression.  Replace each instance of 'x' with 3:

10(3)^2 - 7(3) + 10  =  10(9) - 21 + 19  =  92

Answer:

Here,

SP with VAT = Rs. 99000

Discount = 10%

VAT = 10%

Discount Amount =?

VAT Amount = ?

We know,

SP = "100" /"100 + v% "  × SP with VAT    

 = "100" /"100 + 10 "  × 99000    

= "100" /"110 "  × 99000      

= Rs. 90000 ∴   VAT Amount = SP with VAT – SP    

= Rs. 99000 – 90000    

= Rs. 9000 Again,  MP = "100" /"100 – d% "  × SP      

=  "100" /"100 – 10 "  × 90000      

=  "100" /"90"  × 90000      

= Rs. 100000

∴   Discount Amount = MP – SP          

= Rs. 100000 – 90000          

= Rs. 10000

Step-by-step explanation:

Here is the list of all formulas on MP, Discount, SP, and VAT.

1. Discount Amount = Discount % of MP    

2. Discount % = (Discount Amount)/MP  ×100%      

3. SP = MP – Discount Amount    

4. SP = (100 - d%)/(100 )  × MP    

5. MP = 100/(100 - d% )  × SP  

 6. VAT amount = VAT percent of SP    

7. VAT percent = (VAT Amount)/SP  ×100%  

 8. SP with VAT = SP + VAT amount    

9. SP with VAT = (100 + v%)/(100 )  × SP    

10. SP = 100/(100 + v% )  × SP with VAT  

 11. MP = (100 × 100)/((100 - d%)(100 + v%))  × SP with VAT    

12. SP with VAT = ((100 - d%)(100 + v%))/(100 × 100)  × MP

Answer:

364 days

Step-by-step explanation:

Magic bean will take 364 days to grow 14.56 m tall.

A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.

Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.

First we need to convert the height in m into cm.

14.56 m=14.56*100=1456 cm

If it grows 4 cm in one day then:

It will take 1456/4=364 days (a year) to grow completely.

To know more about unit conversion refer:

https://brainly.com/question/6243489

#SPJ2

X = regular hours, v is overtime

Replace the letters with the given hours and sales:

4.50(22) + 4.50(1.5)(8) + 0.18(1892)

Simplify:

99 + 54 + 340.56

Add everything together:

493.56

He made C. $493.56

A function assigns the values. Clifford's gross pay is $493.56. The correct option is C, $493.56.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the function to calculate total amount that is made by Clifford is modeled as,

A = 4.50(x) + 4.50(1.5)(v) + 0.18(d),

where x represents the regular hours, v represent the holiday hours and d represents the sales made by Clifford.

Now, as it is given that Clifford worked 22 regular hours and 8 holiday hours and had $1,892 in food sales. Therefore, if plug the values in the function then,

A = 4.50(x) + 4.50(1.5)(v) + 0.18(d)

A = 4.50(22) + 4.50(1.5)(8) + 0.18(1892)

= 99 + 54 + 340.56

= 493.56

Hence, Clifford's gross pay is $493.56.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

Answer:

x = 2

Step-by-step explanation:

Answer:

where are the numbers

Step-by-step explanation:

Answer:

x = 53°

Step-by-step explanation:

The angle 115° and the angle formed by the sum of x+62° are external alternates angles, so it means they have the same measure, and you can find the value of x doing:

115°- 62° = 53°