which is the solution to this system of equations?
x + y = 3
x - y = -3

A. (3,0)

B. (0,3)

C. (0,6)

D. (0,-3)

Answer:

6/n = n/18

n^2 = 108

n = sqrt 108

a^2 + b^2 = c^2

36 + 108 = m^2

144 = m^2

m=12

Let me know if this helps!

Answer:

-x^3 + 6x + 2

Step-by-step explanation:

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

The volume of the given square pyramid is 480 cubic centimeter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Slant height of pyramid is 10 cm and base is 8 cm.

The volume of square based pyramid =a²h/3.

Now, volume = (8²×10)/3

= 213.33 cubic centimeter

Therefore, the volume of a square pyramid is 213.33 cubic centimeter.

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Step-by-step explanation:

let the common ratio be r

(x-6)r=(x-2)

(x-2)r=(x+10)

r = (x-2)/(x-6)

and r = (x+10)/(x-2)

so, (x-2)/(x-6)=(x+10)/(x-2)

sloving it, you'll get x=8

so the value of x is 8

Answer:

(-2.5,1)

Step-by-step explanation:

Let the point be (m, n). Using section formula we have

m=(5*(-1)+3*(-5))/(5+3)=-20/8=-2.5

n=(5*(7)+3*(-9))/(5+3)=1

Answer:

-2x^4+x^3-5x+8

Step-by-step explanation:

8-5x+x^3-2x^4

Write the polynomial from highest powers of x to lowest

-2x^4+x^3-5x+8

Answer: the first table.

Step-by-step explanation:

The terms in the domain (x) should have only one range (y)

Answer:

A) x: -3, 0, -2, 8

    y: -1, 0, -1, 1

Step-by-step explanation:

Function has only one output for each input.

OAmalOHopeO

opposite angles of a llgrm are equal.

ABCD is a llgrm.

let angle A = 63 degree

so opposite angle of A is C is also 63.

let angle B=x degree =angle D

sum of all angles of a llgrm is 360 degree

angle A + angle B + angle C + angle D=360

63+x+63+x=360

126+2x=360

2x=360-126

x= 134/2

x=67

so the other angles are

A=63 B =67 C = 63 D = 67

All credit goes to

bijaymourya8114

Answer:

C

Step-by-step explanation:

sqrt(a^7) = sqrt(a^6 * a)

Answer:

390 Km

Step-by-step explanation:

distance = speed × time ( time in hours )

distance = 60 × 6.5 = 390 Km

Answer:

7a²b²(a - 2b)

Step-by-step explanation:

Given

7a³b² - 14a²b³ ← factor out 7a²b² from each term

= 7a²b²(a - 2b)

Answer:

selling prices =10% 10+150+15%=180

Answer:

-2/3

Step-by-step explanation:

Let us take the coordinates of any two points on the line, i.e.,

1. (0,3)

2. (3,1).

Slope

= Δy/Δx

= (y2 - y1)/(x2 - x1)

= (1 - 3)/(3 - 0)

= -2/3

So, the slope is -2/3.

f(x+1)=3x+4

[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]

[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto 3(3)+1[/tex]

[tex]\\ \sf\longmapsto 9+1[/tex]

[tex]\\ \sf\longmapsto 10[/tex]

Answer:

[tex]x + y = - 5[/tex]

Step-by-step explanation:

hopefully it is clear and makes sense

:)

Answer:

Step-by-step explanation:

B

The expression of 0.785 in the form p/q is 157/200

The ratio is defined as a way of dividing a variable by another variable.

Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)

0.785 = 785/1000

Express in its simplest form

785/1000 = 157/200

Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.

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Answer:

488

Step-by-step explanation:

Answer:

96% Davided by a 100.

Step-by-step explanation:

96/100

= 0.96

Answer:

let the number of plate be n,rate be r and number of people be p

P=K(constant)/(n*t)

K=PNT

K=14*35*2

K=980

T=(K)/(PN)

T=980/(20*60)

T=980/1200

T=0.817 hours=49 minutes.

Answer:

Just remember that V=½×A×B×H

where B is the base not breadth.

solving this yourself will give you the answer.

Answer: x = 8.77

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

4²+5² = h²

41 = h²

h = √41

Therefore two sides of the rectangle will √41

No using pythagoreus theorem in the bigger triangle

6² + (√41)² = x²

x² = 36+41

x² = 77

x = √77

x = 8.7749643874

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 8.77

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Answer:

x=8.6 c.x=5.7 d.x=26.3. d.x=26.3 is the answer

Answer:

$119.335

Step-by-step explanation:

8.23 per hour

14h 30 mins = 14.5 hrs

8.23*14.5 = 119.335

Answer:

238.67

Step-by-step explanation:

Answer:

7.82

Step-by-step explanation:

I solved it

If both triangles are similar then ratio of sides will be same.

[tex]\\ \sf\longmapsto \dfrac{12}{14}=\dfrac{y}{21}[/tex]

[tex]\\ \sf\longmapsto 12(21)=14y[/tex]

[tex]\\ \sf\longmapsto 14y=252[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{252}{14}[/tex]

[tex]\\ \sf\longmapsto y=18[/tex]

Answer:

y = 18

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are in proportion, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AC}{DF}[/tex] , substitute values

[tex]\frac{y}{12}[/tex] = [tex]\frac{21}{14}[/tex] ( cross- multiply )

14y = 252 ( divide both sides by 14 )

y = 18

Step-by-step explanation:

0.00451

[tex] = \frac{451}{100000} [/tex]

[tex] = \frac{4.51}{1000} [/tex]

[tex] = \frac{4.51}{ {10}^{3} } [/tex]

[tex] = 4.51 \times {10}^{ - 3} (option \: a)(ans)[/tex]

The required scientific notation  is A. 4.51x10⁻³  is equivalent to 0.00451. It's in scientific notation where 4.51 is between 1 and 10, and -3 is the exponent representing the decimal shift.

In scientific notation, a number is written in the form of "a × 10ⁿ" where "a" is a number between 1 and 10 (including 1 but excluding 10), and "n" is an integer exponent.

The goal is to represent the number in a more compact form using powers of 10.

0.00451

To express this in scientific notation, we need to find "a" and "n" such that "a × 10ⁿ" equals 0.00451.

The option A, 4.51 × 10⁻³ is the correct choice because:

"a" is 4.51, which is between 1 and 10.

"n" is -3, as we are shifting the decimal point three places to the left to convert 0.00451 to 4.51 × 10⁻³.

Therefore, 0.00451 is equivalent to  scientific notation option A. 4.51 × 10⁻³, which is option A.

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Answer:

I think it is segment...........