Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain

Answer:

254.5cm²

Step-by-step explanation:

I assumed that the units is cm.

hope it helps!!!

Answer: 67°

Step-by-step explanation:

Complementary angle refers to the angle that when added together will be equal to 90°.

Let the measurement of the angle's complement be x.

Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,

x + 2x + 21 = 90

3x + 21 = 90

3x = 90 - 21

3x = 69

x = 69°/3

x = 23°

Therefore, the angle will be:

= 2x + 21

= 2(23°) + 21°

= 46° + 21°

= 67°

The angle is 67°.

Answer:

[-25, ∞) , {y|y ≥ -25}

Step-by-step explanation:

^^^

Answer:

answer 60

Step-by-step explanation:

The LCM(12, 20) = 60.

Answer:

x = 35

Step-by-step explanation:

-6/5x-4=-46​

Add 4 to each side

-6/5x-4+4=-46+4

-6/5x=-42​​

Multiply each side by -5/6 to isolate x

-5/6 * -6/5x=-42 * -5/6​

x = 35

Answer:

x = 35

Step-by-step explanation:

-6 / 5x - 4 = - 46

Add 4 to each side

- 6 / 5 x - 4 + 4 = - 46 + 4

- 6 / 5 x = - 42

To find x, multiply 42 by 5 and then divide by 6.

x = 42 × 5 / 6

x = 7 × 5

x = 35

Answer:

it changed to f(x)+7 because it has an asymptote of 7

Answer:

The money borrowed by Morgan is $ 3.15.

Step-by-step explanation:

Money borrowed by Morgan to buy chips = $ 0.35

Number of times goes to the station = 9

Money borrowed by Morgan in 9 time visit to station

= 9 x $ 0.35

=$ 3.15

Answer:

ans: option b

Step-by-step explanation:

remember that,

For matrix addition or subtraction of two or more matrices must have same order and only operation done with corresponding elements,

if you find helpful make it brainlist

Answer:

thas multiple matrix bro

Step-by-step explanation:

Answer:

[tex]{ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}[/tex]

Answer:

3.8 inches

Step-by-step explanation:

12 = 2 x 22/7 x r

84= 2 x 22 x r

42 = 22r

r = 1.9

2r = 3.8inches.

diameter is twice the radius

diameter = 3.8 inches

hope its right. good luck!

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

Population in US = 290.9 million.

= 290,900,000

Average amount spent per person on health care = Total health care cost in US / Population in US

= 1,700,000,000,000 / 290,900,000

= $5843.9326228944

Approximately,

$5,843.9

To the nearest whole number

= $5,844

Answer:

Non of the given options

A function that represent an exponential decay and 2 as the y-intercept is y = 0.85ˣ + 1

Step-by-step explanation:

An exponential decay function is a function that reduces in magnitude at a constant percentage rate, r (< 1)

An exponential decay can be represented by the formula, y = a·(1 - r)ˣ

Therefore, the growth factor, (1 - r) = b is less than 1 for an exponential decay

Therefore the function that represent an exponential decay is y = 0.85ˣ, while a function that represent an exponential decay and has a y-intercept of 2 is y = 0.85ˣ + 1. therefore, non of the options

Answer:

d

Step-by-step explanation:

it is impossible to tell since no numbers were given nor signs were offered to help us know whether we are dealing with additon , subtraction , multiplication or division

Answer:

Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28

Step-by-step explanation:

The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;

m = The slope of the line

c = The y-intercept

Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;

Fot the given point, the x-value = 4, and the y-value = 8, we get;

8 = m₁·4 + c₁...Line 1 and

8 = m₂·4 + c₂...Line 2

m₁ ≠ m₂

If we set m₁ = 3, for line 1, we get;

8 = 3 × 4 + c₁ = 8 = 12 + c₁

∴ c₁ = 8 - 12 = -4

c₁ = -4

The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;

y = 3·x - 4

The equation for Line 2 where m₂ = -5 for example, we have;

8 = -5 × 4 + c₂

∴ c₂ = 8  + 5 × 4 = 28

c₂ = 28

The general form for the equation for Line 2 becomes;

y = -5·x + 28

Therefore;

The equation of the two formed lines that pass through the point (4, 8) are;

y = 3·x - 4 and y = -5·x + 28

Answer:

additive inverse properties

Answer:

hmm what could it be I DNT kno

Answer:

speed = 32km/hr

Step-by-step explanation:

Time

10:15 to 10:30 = 1/4 hr

speed = distance/time

speed = 8 / (1/4)

speed = 32km/hr

Answer:

2

Step-by-step explanation:

Because 10/5 is 2

The scale factor for the given distances will be 2. The correct option is 2.

To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.

The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):

Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2

Therefore, the correct answer is option 2). The scale factor is 2.

To know more about scale factors follow

https://brainly.com/question/30215044

#SPJ2

Answer:

the answer is 77.1

Answer:

Answer is y = 6

Step-by-step explanation:

Solve for y.

Answer:

Y=6 I think but I’m not positive.

sorry if I’m wrong.

haha

get it? POSITIVE?

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When taking an esponent to an exponent multiply them

4 ^(1/3)^3 = 4^1 = 4

Answer:

300 Bags

Step-by-step explanation:

According to the Question,

The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m

overall area - pool area = border area(A)

A = π×5.5² - π×3.5²

A = 56.55 sq m  

the volume of the concrete, change 50 mm to .05 m

56.55 * 05 = 2.8275 cu/meters

1 cubic metre requires 106 x 20 kg bags.

106 * 2.8275 = 299.715 ≈ 300bags

Answer:

RS = 2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

RS² + RT² = TS² , that is

RS² + 6² = 8²

RS² + 36 = 64 ( subtract 36 from both sides )

RS² = 28 ( take the square root of both sides )

RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )

Answer:

18.6

Step-by-step explanation:

We know a side and a angle opposite of that side

(AC and Angle B respectively).

We know another side(AB). and are trying to find a angle opposite of it.

Let use Law of Sines rules.

[tex] \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} [/tex]

Substitute the values in.

[tex] \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } [/tex]

Solve for sin x by taking the reciprocal of both sides.

[tex] \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} [/tex]

Remeber sin 90 =1 and multiply 7 by both sides.

[tex] \frac{1}{22} \times 7 = \sin(x) [/tex]

Take the inverse of sin to find the angle measure.

[tex] \sin {}^{ - 1} (x) = \frac{7}{22} [/tex]

The answer is

18.6

Hi!

i think We can set up a proportion to solve this

\frac{3}{12} \frac{x}{16}

12

3

16

x

Cross multiply

3 x 16 = 48

48/12 = 4

The answer is 4

Hope this helps! :)