find the length of a line joining the point ( 4,3 ) and origin .​

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i

{x}^{2}-5x-10x+50

x

2

−5x−10x+50

ii Collect like terms.

{x}^{2}+(-5x-10x)+50

x

2

+(−5x−10x)+50

iii Simplify.

{x}^{2}-15x+50

x

2

−15x+50

(x - 10)(x - 5) = ...

= x^2 + (-10 + (-5))x + (-10•(-5))

= x^2 - 15x + 50

Answer

6372 - power 4

Step-by-step explanation:

Answer:

a=6

Step-by-step explanation:

12-2a=3(a-6)

or,12-2a=3a-18

or,12-5a=-18

or,-5a=-30

or,a=6

hope this helps

At the start, it's given that x₁ (0) = 80 lb and x₂ (0) = 30 lb.

The amounts of salt in either tank change according to

dx₁/dt = (2 gal/min) (x₂/(100 - t ) lb/gal) - (3 gal/min) (x₁/(100 + t ) lb/gal)

dx₂/dt = (3 gal/min) (x₁/(100 + t ) lb/gal) - (2 gal/min) (x₂/(100 - t ) lb/gal)

To break this down a bit, consider tank A, for instance:

• solution flows in from B at a rate of 2 gal/min

• the volume of liquid in tank B after t minutes is

100 gal + (2 gal/min - 3 gal/min) (t min) = (100 - t ) gal

because the tank starts with 100 gallons of liquid, and 2 gallons are pumped in while 3 gal are pumped out each minute

• at any time t, the solution in B contains x₂ pounds of salt

• the concentration of the solution in A is then x₂/(100 - t ) lb/gal

• multiplying this by the inflow rate tells you how much salt is moving around each minute

Answer:

14.75789056

Step-by-step explanation:

I think so...

The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

Given expression as (- 1.4)⁸

as a result, if you have raised a negative integer to an even power, the response will be positive.

Eliminating the negative sign.

⇒ (1.4)⁸ = (1+0.4)⁸

⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴

⇒ 1+3.2+4.48+3.584+1.792

⇒ 14.056

If we used one more term we would get 14.62944

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Answer:

The digit that should be placed in the blank is 0.

Step-by-step explanation:

We are given the four-digit number: 138_

And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.

A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.

Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.

80 is indeed divisible by 4, while 85 is not.

In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.

answer:

-1

here's the explanation below :))

Answer:

yes

Step-by-step explanation:

functions have one input for every output.

the input side has unique and individual numbers therefore it's a function.

Answer:

2nd option

Step-by-step explanation:

If f(x) is an even function , then

f(x) = f(- x)

f(x) = x² - x + 8

f(- x) = (- x)² - (- x) + 8 = x² + x + 8

Since f(x) ≠ f(- x) then f(x) is not an even function

Answer:

20.2 feet

Step-by-step explanation:

Using Pythagoras theorem, we have

Height^2+13^2=24^2, height=sqrt(407)=20.2

Answer:

Step-by-step explanation:

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love xx

and i dont know the answer

[tex] \bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375[/tex]

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7  = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.

Answer:

The answer is A

Step-by-step explanation:

It has to exceed not be same or equal to

Answer:

y - 4 = -2/3 (x + 1)

Step-by-step explanation:

y2 - y1 / x2 - x1         -2 - 4 / 8 - (-1)      -6/9     = -2/3

y - 4 = -2/3 (x + 1)

Answer:

around 17 mistakes

Step-by-step explanation:

We can write a ratio to solve

54 words             300 words

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

3 mistakes             x mistakes

Using cross products

54x = 3*300

54x = 900

Divide by 54

54x/54 = 900/54

x =50/3

x = 16.66666666(repeating)

around 17 mistakes

X = mistakes in 300 words

54/3 = 300/X

54X = 3 x 300

X = 900/ 54

X = about 17 words, since 16 and 2/3 rounded to the nearest tenth is 17

Answer:

a

Step-by-step explanation:

kjddhllkfewtuikkbccjg

y = x^2 - 3x - 4

Factored Form: y = (x - 4)(x + 1)

X-Intercepts: (4,0) and (-1,0)

Axis of Symmetry: x = 1.5

Vertex: (1.5, -6.25)

Domain: All real numbers

Range: y > -6.25

Hope this helps!

Answer:

C

Step-by-step explanation:

There isn’t one

=================================================

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

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

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.

-72-30+10.

-72-30=-102

10-102 is also the same as

-102+10

The final answer is -92

Answer:

-92

Step-by-step explanation:

-72 + (-30) + 10 =

-72+ -30

Since they both have the same sign, add and then take the sign

72+30 = 102  and then take the negative sign

-102

-102+10

They have opposite signs, so we subtract and take the sign of the larger

102 -10 = 92

And 102 was negative so take the negative sign

-92

Answer:

Reflexion and rotation, then translation

Answered by GAUTHMATH

Answer:

$28.

Step-by-step explanation:

We have the system of equations

5b + 3s = 230          (b = cost of 1 ball and s = cost of 1 stick).

5b + 2s = 200

Subtract the above from the first equation:

s = 30

So, substituting in equation 1:-

5b + 3(30) = 230

5b = 230 - 3(30) = 140

b = 28.

Checking in equation 2:-

5(28) + 2(30)

= 10 + 60

= 200.

- this checks out OK.

The cost of one hockey ball will be $28.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The system of equations from the given data are:-

5b + 3s = 230          (b = cost of 1 ball and s = cost of 1 stick).

5b + 2s = 200

Subtract the above from the first equation:

s = 30

So, substituting in equation 1:-

5b + 3(30) = 230

5b = 230 - 3(30) = 140

b = 28.

Therefore, the cost of one hockey ball will be $28.

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Hi there!

[tex]\large\boxed{r\approx 10.6 cm}[/tex]

Solve for the radius using the pythagorean theorem:

a² + b² = c²

We know the lengths of the hypotenuse and one leg, so:

a = 12

b = ?

c = 16

Plug these into the equation:

12² + b² = 16²

Simplify:

144 + b² = 256

Subtract both sides by 144:

b² = 112

Take the square root:

b ≈ 10.6

Thus the radius is about 10.6 cm.

Answer:

carna estralia con frema es 36+12.125tt ernits es answeana

Step-by-step explanation:

Answer:

18+12.125π units²