Solve the following system of equations by substitution. PLEASE HELP!

Answer:

B

Step-by-step explanation:

y = 2x - 4

y + 4 = 2x

x = y/2 + 4/2

x = y/2 + 2

—-

y = x/2 + 2

Answer:

y = x/2 + 2

This is the answer because I got it right on my test.

Answer:

D. 5

Step-by-step explanation:

Applying,

cos∅ = adjacent/Hypotenuse

From the diagram,

Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2

Therefore,

cos45° = s/5√2

make s the subject of the equation

s = cos45°×5√2

s = (1/√2)(5√2)

s = 5

Hence the right answer is D. 5

Step-by-step explanation:

volume of the sphere=4/3×π×r³

=4/3×3.14×11³

=5572.4533ft³

Answer:

0/1

Step-by-step explanation:

Answer:

5 is the value of y

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Answer:

x=3.75

Step-by-step explanation:

Answer:

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Answer:

{-2,-1, 0, 1, 8}

Step-by-step explanation:

Domain is the input values ie. x values

{-2,-1, 0, 1, 8}

Given:

The fraction is:

[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]

To find:

The expression that is equivalent to the given fraction.

Solution:

We have,

[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]

After taking LCM, we get

[tex]\dfrac{\dfrac{-2y+5x}{xy}}{\dfrac{3x-2y}{xy}}[/tex]

[tex]\dfrac{-2y+5x}{3x-2y}[/tex]

Therefore, the correct option is A.

Answer:

x = 8

Step-by-step explanation:

Answer:

y=-1x-4

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Answer:

Step-by-step explanation:

When two chords intersect inside the circle, the product of their segments are equal.

BE * ED = AE * EC

x *3x = 4 *3

3x²   = 12 {Divide both sides by 3}

  x² = 12/3

  x² = 4

  x = √4

  x = 2

Answer:

The value of x is 2.

Step-by-step explanation:

We know that , when the two chords are intersect inside the circle, the product of their segment are equal.

So, BE × ED = AE × EC

putting the values

x × 3x = 4 × 3

multiply the values

3 x ² = 12

divide 12 by 3

x ² = 12 / 3

x ² = 4

Taking the square root of 4

x = √4

x = 2

The value of x is 2.

Answer: -4

Explanation:

Absolute value is the distance that a number is away from zero. Keep in mind that the absolute value is always positive.

However since the negative sign is on the outside of the function , you leave it on the final answer. Therefore the answer is -4

Answer:

the solution is where the two objects intersect ...

1) A line can completely miss the circle (no solutions is possible)

2) a line can "kiss" the circle at one point (one solution)

3) note that a line can not "bend"... it can touch one side of the circle pass

through the center and touch the circle in a second spot (going out) .. two solutions...

those are the three possibility that are in the question that was posted...

three check comments are true

Step-by-step explanation:

Answer:

θ = 81.89°

Step-by-step explanation:

Si tenemos un círculo de radio R, el perímetro de este círculo estará dado por:

P = 2*pi*R

donde pi = 3.14

Ahora, si en lugar de el círculo completo solo queremos la longitud de un dado arco, definido por un ángulo θ, el largo de ese arco estará dado por:

L = (θ/360°)*2*pi*R

Notar que cuando θ = 360° (es decir, el ángulo del círculo completo) el largo del arco será igual que el perímetro, lo cual deberíamos esperar.

Ahora sabemos que:

El arco tiene 50m de longitud.

El radio del círculo es 35m

queremos encontrar el valor de θ

Reemplazando esos valores en la ecuación de arriba obtenemos:

50m = (θ/360°)*2*3.14*35m

Ahora solo debemos resolver esto para θ

50m = (θ/360°)*219.8m

(50m/219.8m) = (θ/360°)

(50m/219.8m)*360° = θ = 81.89°

Answer:

5/36

Step-by-step explanation:

There are 12 tiles

P( blue) = blue /total = 5/12

We put the first tile back so there are still 12 tiles in the bag

P(yellow) = yellow/total = 4/12 = 1/3

P( blue, yellow) = 5/12 * 1/3 = 5/36

Answer:

No solution is possible from the information provided

Step-by-step explanation:

you didn't include the function.

Answer:

A'E' = AE

Step-by-step explanation:

Transformation is the movement of a point from its initial position to a new position. Types of transformation are rotation, reflection, translation and dilation. If an object is transformed then all its points are also transformed.

Rigid transformations are transformations that preserves the shape an size of an object (i.e. the side length and angles). Examples of rigid transformations are rotation, translation and reflection.

Since rotation is a rigid transformation, the side lengths and angles of polygon A'B'C'D' would be the same as that of polygon ABCD. Therefore:

A'E' = AE

Answer:

Step-by-step explanation:

An explicit arithmetic formula in standard form is

[tex]A_n=a_1+d(n-1)[/tex] where n is the position of a number in thesequence, a1 is the first number in the given sequence, and d is the common difference. The common diff here is -5 since we have to subtract 5 from each term to get to the next one in the sequence. The first number is -12. So

a1 = -12

d = -5 and the explicit formula is

[tex]A_n=-12-5(n-1)[/tex] and you could simplify it a bit to

[tex]A_n=-12-5n+5[/tex] and finally to

[tex]A_n=-5n-7[/tex] which is a linear representation. Arithmetic sequences can all be simplified down to represent lines.

Answer:1565

Step-by-step explanation:

tehret

Answer:

Phải

Step-by-step explanation:

Answer:

45/7

Step-by-step explanation:

ok lets first find the total sum. there are 5 numbers so 13*5=65

2x+0+5x+11+9=65

7x=45

x=45/7 or 6.42857143

Answer:

-1 and 3

Step-by-step explanation:

The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.

Answer:

11,000 + 30+4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1 change in x and 4 change in y from 1,0 to 0,4 or 4/1

Answer:

12 square units

Step-by-step explanation:

Given

See attachment for net

Required

The surface area

The net has the following shapes:

So, the surface area is:

Area = Area of Square + 4 * Area of 1 Triangle

[tex]Area = 2 * 2 + 4 * \frac{1}{2} * 2 * 2[/tex]

[tex]Area = 4 + 8[/tex]

[tex]Area = 12[/tex]

Answer:

is the clean area the desired one (I assume, yes)?

then y <= 3x + 5

if the dotted area is the desired area, then

y >= 3x + 5

Step-by-step explanation:

the factor of x is the slope of the line expressed as y/x ratio.

clearly, the line shows that for x changing by 1 unit y changes by 3 units. so, the slope is 3/1.

that leaves us only with the 2 middle options.

for "y <=" the desired values of y for a given x must be on the line (equal) or below (smaller than the value of the line equation). that is true, if the desired area is the clear one (no dots).

so, "y >=" is true, if the dotted area is desired.