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3 years ago

Tank A initially contained 124 liters of water.

Mathematics

1 answer:

Taya2010 [7]3 years ago

4 0

The following amounts of water have not been listed.

However, to find m all you need to do it;

the amount of water which is in the tank - 124 = x

x ÷ 9 = m

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What is the slope of a line parallel to the graph of y-2=4(x+1)

Brrunno [24]

Answer:

Step-by-step explanation:

Basándonos en el hecho de que 2 rectas paralelas L1 y L2 son paralelas como lo indica el problema sabemos que m1=m2

por lo tanto si resolvemos la ecuación punto-pendiente que tenemos alli

y-2=4(x+1)

y-2=4x+4

y=4x+4+2

y=4x+6

De esta forma tendríamos la tan conocida ecuación de una recta

y=mx+b

Donde "m" es la pendiente de dicha recta y "b" es el punto de interseccion con el eje y

por lo tanto en este caso la pendiente m=4

8 0

4 years ago

(−5k <br> 3<br> −6k+1)+(−6k <br> 2<br> +5k)

sleet_krkn [62]

Answer:

-12k+3

Step-by-step explanation:

(-11k+1)+(-1k+2)

7 0

4 years ago

A conjecture and the flowchart proof used to prove the conjecture are shown.

pishuonlain [190]

Answer:

∠1 is supplementary to ∠3.

Step-by-step explanation:

Given information: ABCD is a parallelogram.

Prove: ∠1 is supplementary to ∠3.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = exterior angle adjacent to angle D B C.

Statement Reason

∠2 is supplementary to ∠3 Linear pairs

m∠2+m∠3=180° Definition of supplementary angles

$m\angle 1=m\angle 2$ Alternative interior angles

m∠1+m∠3=180° Substitute property of equality

∠1 is supplementary to ∠3 Definition of supplementary angles

Hence proved.

3 0

4 years ago

What is the difference between a rational number and anirrational number?

pashok25 [27]

Step-by-step explanation:

I'm sure u could've googled this answer.

Rational numbers refers to a number that can be expressed in a ratio of two integers.

An irrational number is one which can't be written as a ratio of two integers.

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

3 0

4 years ago

Find the distance between the two given points. O(-3,-2) and P(-3,4)

aliina [53]

Answer:

$\boxed {\boxed {\sf d= 6}}$

Step-by-step explanation:

Distance can be found using this formula:

$d=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2$

Where (x₁, y₁) and (x₂, y₂) are the points.

We are given the points O (-3, -2) and P(-3,4). Therefore,

$x_1= -3 \\y_1= -2 \\x_2= -3 \\y_2=4$

Substitute the values into the formula.

$d=\sqrt {(-3--3)^2+(4--2)^2$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Solve inside the parentheses first.

(-3--3)= -3+3=0
(4--2)= 4+2=6

$d= \sqrt {(0)^2+ (6)^2}$

Solve the exponents.

(0)²= 0*0=0
(6)²= 6*6=36

$d=\sqrt {0+36$

Add.

$d= \sqrt {36$

Take the square root.

$d=6$

The distance is 6.

3 0

3 years ago