What is the equation in slope-intercept form of the line that passes through the point (4, 1) and is parallel to the line represented by y=−2x+3?

Answer:

48x = 14

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Systems

50x - y = 6

-2x + y = 8

Step 2: Solve for x

Elimination

Answer:

79 degrees

Step-by-step explanation:

the 2 angles together make a 180 degree angle

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Look at the line carefully. You can see that the line crosses the point (0,2). See it? The value of 2 in the point (0,2) is the y-intercept.

The given equations are all in the form

y = mx + b, where b is the y-intercept.

So, based on this data, we conclude that the line represents the equation y = (1/3)x + 2.

Choice C is the answer.

Answer:

(2, 2[tex]\sqrt{3}[/tex]) and (4,0)

Step-by-step explanation:

Let x be half of the triangles length

3x  = 6

x = 2

so B should be (2, 2[tex]\sqrt{3}[/tex])

and D should be (4, 0)

^two-dimentional figure^

area from circle

=

[tex]\pi \times r ^{2} [/tex]

=3,14 × 50²

=3,14 × 2500

=7850 cm².

closest= 7854 cm² ✅✅

Answer:

3.333 m

Step-by-step explanation:

Divide speed by frequency

3 x 10^8 / 9 x 10^7

Answer:

I think the domain would be the x values and range would be the y values in the given 2 points.

Domain : [2 , 8]

Range : [-5 , -3]

I hope you get this right.

Answer:

6/25 or 0.24

Step-by-step explanation:

(3/5) / (2 1/2) =

(3/5) / (5/2) =

(3/5) × (2/5) =

6/25 = 0.24

Answer:

6/25

Step-by-step explanation:

I Divided 3/5 by 1/2

Answer:

The slope of a line parallel to this line will be: 6

The slope of the perpendicular line will be: -1/6

Step-by-step explanation:

We know the slope-intercept form

[tex]y=mx+b[/tex]

Here,

Given the equation

[tex]y=6x-7[/tex]

Thus, the slope of the line is: 6

The slope of a line parallel to the line:

We have already determined that the slope of the line is: 6

Thus, the slope of a line parallel to this line will be: 6

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: 6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

[tex]\frac{-1}{6}\:\:[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-\frac{1}{6}[/tex]

Therefore, the slope of the perpendicular line will be: -1/6

The graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

For any proportional relationship, we can find the slope of the graph by using any point on the line of the graph. The slope of the graph is also the unit rate, Therefore, picking a point on the line, (x, y), we have:

Slope (m) = y/x.

Number of miles Tyrell walks (y) = 12 miles

Time spent working (x) = 3 hours

The unit rate or slope = y/x = 12/3

Slope/unit rate (m) = 4 miles per hour.

From the graphs given, only graph B has the same unit rate/slope as 4, when we use the point, (5, 20).

Slope of graph B = 20/5 = 4.

Therefore, the graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

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Answer:

8y+2zand^3x+3z+4

Step-by-step explanation:

Answer:

[tex]xm+nxy=14[/tex]

Step-by-step explanation:

Given that x = 2, y = 3, m = 4 and n= 1.

Putting all the given values to get the value of xm+nxy.

So, the value of [tex]xm+nxy=2\times 4 + 1\times 2 \times 3=14[/tex]

Hence, [tex]xm+nxy=14[/tex].

The length of QT should be considered when the Parallelogram QRST where QR = 6X - 5 is to be [tex]x=-13/3[/tex].

SInce

Parallelogram QRST where QR = 6X - 5 and RS = 4x + 13

So here we can write like

-3x = 13

x = [tex]-13 /3[/tex]

hence, The length of QT should be considered as the [tex]x=-13/3[/tex].

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Answer:

D

Step-by-step explanation:

you must solve first

18x < 45

x < 2.5

the number line will have an arrow with an open circle since it does not include 2.5. the line will head towards 0 and negatives since it's less than 2.5 so your answer is D

Answer: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

if someone drove 640 miles in 4 hours,

, it means that they drove 640/4=160 miles per hour

in 12 hours

160*12=1920

or

640............................4 h

640*3.........................4*3 hours

which give syou the same answer

1920.............................12 hours

Answer:

1,920 miles

Step-by-step explanation:

640 divided by 4 = 160

160 x 12 = 1,920

Answer:

option a is answer (the included side)

For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.

In the case when there is two angles and there is nonincluded side for one triangle that should be congruent to two angles and a nonincluded side of a second triangle, so the triangles should be considered as the congruent.

therefore, For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.

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Answer:

2x + 3 = -7  ---> x = -5

4.5x - 7 = 20 ---> x = 6

-3x + 7 = 28 ---> x = -7

Step-by-step explanation:

2x + 3 = -7

2x = -10

x = -5

4.5x - 7 = 20

4.5x = 27

x = 6

-3x + 7 = 28

-3x = 21

x = -7

Answer:

1.17*10^14 km

Step-by-step explanation:

kindly find attached the image for your reference

Step one:

The diameter of Mars is approximately 6794 km

hence the radius is = 6794/2= 3397km

Step two:

Use the Pythagorean Theorem

[tex]x^2 + 3397^2 = (3397 + 25)^2\\\\[/tex]

[tex]x^2 + 11539609 = (11710084)^2\\\\x^2 + 11539609 = (11710084)^2\\\\x^2= (11710084)^2-11539609 \\\\x^2= 1.37*10^14-11539609 \\\\x^2=1.37*10^14\\\\x= √1.37*10^14\\\\x=1.17*10^14 km[/tex]

Answer:

49 and 97 is not the answer

Answer:no graph is shown below

Step-by-step explanation:

But since is no solution they can't have the same slope.

Answer:

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore, given as follows;

[tex]f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}[/tex]

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore the correct answer is C

Fill in the inequalities below to specify the graph's domain shown. Domain: __ is not greater than or equal to x, which is below 4.

Fill in the inequalities below to specify the graph's range shown.

Range: __ is not greater than or equal to y, which is below 5.

The domain and range is the graph's domain is its set of potential input values, and its range is its set of potential output values.

Following is the finished inequality reflecting the set of the domain and range;

First,

Domain: -4 is below x, which is below or equal to 4.

Second,

Range: -2 is below y, which is below or equal to 5

The attached graph shows that the point (-4, 5) has an open circle, which denotes that the point has no value.

The closed circle at the other end of the graph, at the coordinates (4, -2), denotes that the graph has a value at that location (4, -2)

First,

The domain of a graph is the set of potential inputs (x-values) for the graph, expressed as inequality is -4 < x ≤ 4

Therefore;

To complete the inequality for the domain, gives;

Domain: -4 is less than x which is less than or equal to 4

Second,

The range of a graph are the possible output (y-values) of the graph, in inequality notation, the domain of the attached graph is -2 ≤ y < 5

the domain supplies the necessary inequality to be complete;

Range: -2 is less than or equal to y which is less than 5.

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Answer:

c

Step-by-step explanation:

Answer:

0.78 cubic inches/sec

Step-by-step explanation:

you take 3.9 cubic feet and multiply it by 12 to convert it into inches and you get 46.8 cubic inches. then you divide by 60 to convert minutes to second and you get 0.78. hope that helps

Answer:

1123.2 cubic inch per second

Step-by-step explanation:

3.9 feet^3 = per minute

? = second

39 = 60 sec

? = 1 sec

39/60 =0.65 feet cubic

1 cubic foot = 1728 cubic inch

0.65 feet cubic = ?

0.65 * 1728

= 1123.2 cubic inch