Find the distance between the points G( – 5, 4) and H(2.6)
The exact distance between the two points is?

Answer:

option b is the correct answer.

Explanation is beloe

Step-by-step explanation:

x²+y²=9

xy=8

x+y=?

Now,

(x+y)²=x²+2×x×y+y²

(x+y)²=x²+2xy+y²

(x+y)²=x²+y²+2xy

(x+y)²=9+2×8

(x+y)²=9+16

(x+y)²=25

(x+y)²=5²

x+y=±5

I hope it helped U

stay safe stay happy

Step-by-step explanation:

[tex]we \: have \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ here \: {x}^{2} + {y}^{2} = 9 \\ xy = 8 \\ then {(x + y)}^{2} = 9 + 2 \times 8 \\ {(x + y)}^{2} = 9 + 16 = 25 \\ {(x + y)}^{2} = 25 \\ x + y = \sqrt{25} = +/-5 \\ thank \: you[/tex]

Answer:

V=880

Step-by-step explanation:

V=π(R^2 − r^2)L

V=(22/7)*7*(11^2-9^2)

V=880

Answer:

Line 1: (9+x)x

Line 2: x(9 + x)

The order of multiplies changed.

This is called a Commutative Property of Multiplication.

Line 3: x(x+9)

The order of added terms within parenthesis changed.

This is called a Commutative Property of Addition.

Line-1 to Line 2- Commutative property of multiplication

Line-2 to Line-3 =Commutative property of addition

Lets solve

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x^2+9x[/tex]

Answer:

123 456lcm divison method

Answer: 7-9

Step-by-step explanation: normal job hours

Like an 8, a 9-5 is what most people have so over 40 hours is overtime

Answer:

[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]

Step-by-step explanation:

We want to find the maximum and minimum values of the function:

[tex]\displaystyle f(x) = \sqrt{x + x^2} - 2\sqrt{x}[/tex]

On the interval [0, 4].

First, evaluate its endpoints:

[tex]\displaystyle \begin{aligned} f(0) &= \sqrt{(0)+(0)^2} - 2\sqrt{0} \\ &= 0 \\ \\ f(4) &= \sqrt{(4)+(4)^2} - 2\sqrt{(4)} \\ &= 2\sqrt{5} -4 \end{aligned}[/tex]

Recall that the extrema of a function occurs at its critical points; that is, where its derivative equals zero (or is undefined).

Take the derivative of both sides:

[tex]\displaystyle f'(x) = \frac{d}{dx}\left[ \sqrt{x + x^2} - 2\sqrt{x}\right][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} f'(x) &= \frac{1}{2\sqrt{x + x^2}} \cdot (1 + 2x) - 2\left(\frac{1}{2\sqrt{x}}\right) \\ \\ &= \frac{2x+1}{2\sqrt{x+x^2}} - \frac{1}{\sqrt{x}} \\ \\\end{aligned}[/tex]

Note that the derivative is undefined at x = 0. Hence, x = 0 is a critical point.

Solve for the zeros of the derivative:

[tex]\displaystyle\begin{aligned} \frac{2x+1}{2\sqrt{x + x^2}} - \frac{1}{\sqrt{x}} &= 0\\ \\ \frac{2x+1}{2\sqrt{x}\sqrt{1 + x }} - \frac{1}{\sqrt{x}} &= 0 \\ \\ \frac{2x+1}{2\sqrt{1+x}} - 1 &= 0\\ \\ 2x + 1 &= 2\sqrt{1+x} \\ \\ 4x^2 + 4x + 1 &= 4 + 4x \\ \\ x^2 &= \frac{3}{4} \\ \\ x= \frac{\sqrt{3}}{2} \end{aligned}[/tex]

Therefore, our only two critical points are at x = 0 and x = √3/2:

Evaluate the function at x = √3/2:

[tex]\displaystyle \begin{aligned} f\left(\frac{\sqrt{3}}{2}\right) &= \sqrt{\left(\frac{\sqrt{3}}{2} \right)+ \left(\frac{\sqrt{3}}{2}\right)^2} - 2 \sqrt{\left(\frac{\sqrt{3}}{2}\right)} \\ \\ &= \frac{\sqrt{3+2\sqrt{3}}}{2}- \frac{2\sqrt[4]{3}}{\sqrt{2}} \\ \\ &\approx -0.5900\end{aligned}[/tex]

In conclusion: the exact maximum and minimum values of f on the interval [0, 4] is:

[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]

Answer:

Step-by-step explanation:

The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)

for opposite: Its reflection and its symmetrical

opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.

Answer:

4y-5x-44=0

Step-by-step explanation:

It passes through one point with the formula being

y-y1=m(x-x1)

y-6=5/4(x-(-4))

y-6=5/4(x+4)

cross multiply

4(y-6)=5(x+4)

4y-24=5x+20

collect like terms

4y-5x=20+24

4y-5x=44

4y-5x-44=0

Answer:

Step-by-step explanation:

I will ASSUME you want an equation

In slope/intercept form it is

6 = (5/4)(-4) + b

b = 11

y = (5/4)x + 11

or in slope/point form is

(y - 6) = (5/4)(x + 4)

Answer:

314ft²

Step-by-step explanation:

A = 3.14(10²)

A = 3.14 x 100

A = 314ft²

Answer:

Area is 314 ft²

Step-by-step explanation:

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

r is radius,

[tex]r = \frac{diameter}{2} = \frac{20}{2} = 10 \: ft[/tex]

therefore:

[tex]A = 3.14 \times {10}^{2} \\ A = 3.14 \times 100 \\ A = 314 \: {ft}^{2} [/tex]

Step-by-step explanation:

we first find the gradient

when y1=-4, x1=-5 and y2=1, x2=4

gradient={(y2-y1)÷(x2-x1)}

gradient={1-(-4)}÷{4-(-5)}

gradient=(1+4)÷(4+5)

gradient=5÷9 OR 0.5555

To find the equation interm of x

we substitute for the gradient in the formula

y-y1=gradient (x-x1)

y-(-4)=(5÷9)(x-×-5)

y+4=(5÷9)(x+5)

y+4=(5x+25)÷9 Cross multiply ✖️

9(y+4)=(5x+25)(1)

9y+36=5x+25 collect like terms

9y=5x+25-36

9y=5x-11 divide both sides by 9

y=(5x-11)÷9.......ans

The property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.

The distributive property of multiplication states that the same result is obtained by multiplying the sum of two or more addends by a number or multiplying each addend individually and adding the products.

The steps for the distributive property of multiplication are:

Thus, the property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.

Learn more about the distributive property of multiplication at https://brainly.com/question/2898526

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Answer:

.75

Step-by-step explanation:

8 red marbles, 3 blue marbles, and 1 green marble = 12 marbles

P( not blue) = marbles that are not blue / total

                     =(8red+1 green) / 12

                     =9/12

                      = 3/4

                       .75

Answer:

7-15= -8

Step-by-step explanation:

Step-by-step explanation:

here ,

the total cost of copy is rs 5 and 3 upin 4 =5.75

the total cost of book is rs 15 and 5 upon 6 =12.5

so the cost of book is more then copy by 6.75(12.5-5.75)

Answer:

four hundred and thirty two million, five hundred and fifty three thousand, six hundred and two

Step-by-step explanation:

Answer:

Four hundred thirty-two million, five hundred fifty-three thousand, six hundred and two.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1.2*10 = 1.2

Answer:

12

Step-by-step explanation:

the "normal form" to write numbers : just the digits and a decimal point when needed.

so, 1.2 × 10 = 12

12 is the normal, standard decimal notation.

in some cases it can be also 12.0 or 12.00 (especially with money).

the other form is the scientific notation, where a number is written with its leading digits and the power of 10 as the total value "weight". like in this example 1.2 × 10¹

Answer:

$3480

Step-by-step explanation:

We know that the tax rate for the first $8000 is 15% and after $8000 the tax is 19%.

This means the total amount of money that Christine have to pay is equal to $8000 × 15% + ($20000 (the total) - $8000 (the amount that she already paid for the first $8000)) × 19%

This is equal to $1200 + $12000 × 19%

= $1200 + $2280

= $3480

Therefore, Christine must pay $3480 in income tax.

Answer:

SP=Rs.700

Step-by-step explanation:

cost price of a copy=R's.25

cost price of 20copy=20×25=Rs.500

profit=Rs.200

selling price of 20 copies=?

Now, we know that,

profit=sp-cp

or, 200=sp-500

or, 200+500=sp

thus, SP=Rs.700

Hence, the selling price of 20copies is 700.

Answer:

Ab paralelo DC

Step-by-step explanation:

Answer:

k = 70

Step-by-step explanation:

Since we have been given the value of x to be -ve5 (-5),

we multiply 6 and -5( value of x). Which gives;

-30.

Then add the answer (-30) to 100.

-

K = -30 + 100

= 100 - 30

=70

Note;

(+ * + = +)

( + * - = -)

(- * - = +)

I hope this helps you.

Answer:

[tex]k=70[/tex]

Step-by-step explanation:

[tex]k=6x+100[/tex]

[tex]x=-5[/tex]

[tex]k=6(-5)+100[/tex]

Remove parentheses:- [tex]\left(-a\right)=-a[/tex]

[tex]k=-6\times 5+100[/tex]

Multiply [tex]6\times5= 30[/tex]

[tex]k=-30+100[/tex]

Add [tex]-30+100=70[/tex]

[tex]k=70[/tex]

OAmalOHopeO

Answer:

yes

Step-by-step explanation:

x - 4y = 15

Substitute the point into the equation and see if the equation is true

7 -4(-2) = 15

7+8 = 15

15 =15

This is true so the point is a solution to the equation

Answer:

it's D

Step-by-step explanation:

2 dozen is 24 so we have 18 pnt butter and 24 choc chip.

they're putting 4 choc chp in each so do 24/4

they're putting 3 pnt butter in each so do 18/3

both are 6 so D is the answer

hi <3

product means multiplication, therefore we know there has to be a '2k' and we can eliminate option A

also, there is a mention of subtraction, so we can also eliminate option B

now we are left with C and D

it is stated that it is being subtracted FROM 17, therefore the 17 would have to come first

in short, your answer is option C

hope this helps :)

The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given that,

The product of 2 and a number k, subtracted from 17

we have to find the expression for given statement.

let the number be x

now, we have,

The product of 2 and a number k,

i.e. 2*k = 2k

then,  subtracted from 17

i.e. 17 - 2k

so, we get,

x = 17 - 2k

Hence, The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

To learn more on Expression click:

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Answer:

2b - 14

Step-by-step explanation:

2(b – 7)

2b - 14

Answer:

[tex]2b-14[/tex]

Step-by-step explanation:

Using the distributive property, [tex]2(b-7)[/tex] can be written as [tex](2\cdot b)-(2\cdot7)[/tex] which solved/simplified is [tex]2b-14[/tex]

Man, it's late! Well, hope this helped you out and answered your question!

The probability that a randomly selected student is female or left-handed is 107/137.

Probability = required outcome / Total possible outcomes

Probability that student is female or left-handed = [(probability that student is female + probability that female is left-handed)]

Therefore,

Probability that student is female :

P(Female student) = number of female / total number of student

Number of female student = 81

Total number of student = 137

P(Female student) = 81 / 137

P(Left handed student) = number of lefthanded student / total number of student

Number of left handed student = 26

Total number of student = 137= 26 / 137

P(student is female or left-handed) :

P(student is female or left-handed) :[(81/137) + (26/137)] = 107/137

Probability that student is female or left-handed is 107/137

Learn more : https://brainly.com/question/11234923

Answer:

Range is 19.54

Step-by-step explanation:

I. If R = H - L

when R is Range, H is highest value and L is lowest value

R = 25.6 - 6.06

R = 19.54

Answer:

angle f=147 degrees (alternate angles)

angle e=    33 degrees

Step-by-step explanation:

angle d =147 degrees

angle f=147 degrees (alternate angles)

angle e +angle d=180 (allied angles)

        e+ 147         =180

                   e      =180-147

                    e     =    33 degrees