Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?
х
2
4
6
10
60
y
12.
24
36
V
37
42
0 0 0 0
48
54

The lines in the picture parallel because they are equal width apart , option (D) is correct.

Two straight lines in a plane such that even on getting extend till infinity they do not intersect each other and always at same distance from each other .

In the given picture the red line and black lines appears to have same distance between them .They are parallel not only because they are coplanar as coplanar lines can intersect each other.

Two lines travelling to infinity need not to be parallel always as they can intersect at some point and still travel to infinity.

If two lines of same size are there still they can have different perpendicular distance between them at diff points, they can be slightly tilted towards each other . Therefore they need not be parallel when they are of same size. And given lines are infinite therefore we cannot say that they are of same size also.

If two lines are equal width apart and never meet then it means the distance between them is always same therefore they are parallel,

Therefore, the lines in the  picture are parallel because they are equal width apart option (d) is correct.

Also, Learn more about the parallel lines from the given below link:

https://brainly.com/question/19714372

#SPJ5

Answer:

-10x + y = 63

Step-by-step explanation:

Let's find the slope of this line.  Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10).  Thus, the slope, m, is m = rise / run = 10 / 1 = 10.

Using the point-slope version of the equation of a straight line, we get

y + 7 = 10(x + 7)

Performing the multiplication results in

y + 7 = 10x  + 70.

Rearranging these terms in the form Ax + By = C, we get:

-10x + y = 63

Check this by substituting -6 for x and 3 for y:

-10(-6) + 3 = 63     This is TRUE

Answer:

A. x

C. x – 5

D. x + 2

Step-by-step explanation:

From the question above, we are asked to find the factors of an algebraic expression that is given as:

x³ - 3x² - 10x

We would use the step of factorisation

Step 1

x(x² - 3x- 10)

The first factor of the algebraic expression has been obtained = x

Step 2

We factorise x² - 3x - 10

x² +2x - 5x - 10

(x²+2x) - (5x - 10)

x(x + 2) -5(x + 2)

(x + 2)(x - 5)

Step 3

x³ - 3x² - 10x

x(x² - 3x- 10)

(x)(x + 2)(x - 5)

Therefore, the factors of the algebraic expression are:

(x), (x + 2), (x - 5)

Answer:

3x+6y =0

-6y

3x=-6y

x=-2y

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Took it on Ed but it might be different

Answer:

D

Step-by-step explanation:

I did the math :)

Answer:

C

Step-by-step explanation:

I think the answer is C,

since to find the relative frequency, you divide the specific frequency

(in this case people over 30 who prefer ocean swimming, 185 people)

by the # of values total

(all values recorded, which in this case is the 609 peoples' surveys)

so, divide 185 by 609, which is C

Answer:

2. y =13x + 143

Step-by-step explanation:

plug in numbers in your calculator; go to stat → edit,then again to stat → calculate →linear reg→ enter and get a and b, round the numbers

a = 13 , b = 143

Answer:

If we have following equation right, then the angle between shorter sides is right angle:

Confirmed

Now we can start,

Assume that if the angle between shorter sides is right angle, then the equation should be equal in both sides.

Let's begin the equation,

→ 13² = 12² + 5²

→ 169 = 144 + 25

→ 169 = 169

→ LHS = RHS

Hence, the statement is proved.

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

Answer:

C) 0 ≤ x ≤ 25

Its correct! Hope this helps :)

Answer:

Step-by-step explanation:

y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.

f(x) = 5x = y(x).

Answer:

x=5

Step-by-step explanation:

5+2=7

5+8=13

13*7=91

Answer: 5 ft

Step-by-step explanation:

Our equation can be (x + 8)(x + 2) = 91. Now we solve:

(x + 8)(x + 2) = 91

x^2 + 2x + 8x + 16 = 91    expand

x^2 + 10x + 16 = 91           simplify

x^2 + 10x - 75 = 0            subtract 91 from both sides

(x + 15)(x - 5) = 0               factor

x + 15 = 0              x - 5 = 0

x [tex]\neq \\[/tex] -15                    x = 5

x can't equal -15 because you cannot have negative feet, so x = 5 feet

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:

A line of symmetry is a line that divides a shape such that they become mirror images of each other.

Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).

Learn more here: https://brainly.com/question/19670823

Answer:

140 yd³

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Ah ( A is the area of the triangular face and h is the depth )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

   = 0.5 × 5 × 8 = 20 yd² , thus

V = 20  × 7 = 140 yd³

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

Answer:

rectangles

Step-by-step explanation:

convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.

Answer:

m∠A = 60

m∠B = 60

m∠C = 60

Step-by-step explanation:

Please mark Branilest

Answer:

(-5 1/9, -4)

Step-by-step explanation:

Add the equations

5y=-20

y=-4

-9x+8(-4)=22

-9x-32=22

-9x=46

x= - 5 1/9

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

Answer:

Wednesday, October 10

Step-by-step explanation:

David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, ...

The smallest multiple of 12 that is a multiple of 7 is 84.

The first day all of them play together after July 18th is 84 days later.

84/7 = 12

We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.

Answer: Wednesday, October 10.

Answer:

B) 102°

Step-by-step explanation:

Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.

In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.

Answer:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:

or

Step-by-step explanation:

In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:

Having this, you can make the equation taking into account the proportion:

This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:

How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.

Answer:

b = 2.5 r

or

b = 5r/2

Answer:

8x^4 - 28x^3 + 4x^2.

Step-by-step explanation:

4x(2x^3 - 7x^2  + x)

= 4 * 2x^3 + 4x*-7x^2 + 4x*x

= 8x^4 - 28x^3 + 4x^2.

Answer:

8[tex]x^{4}[/tex]-28x³+4x²

Step-by-step explanation:

4x(2x³-7x²+x)=

8[tex]x^{4}[/tex]-28x³+4x²

2x³ × 4x = 8[tex]x^{4}[/tex]

7x² × 4x = 28x³

x × 4x = 4x²

Step-by-step explanation:

Explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle. (See the pink part of the circle in the picture above.)

A central angle is any angle whose vertex is located at the center of a circle. A central angle necessarily passes through two points on the circle, which in turn divide the circle into two arcs: a major arc and a minor arc. The minor arc is the smaller of the two arcs, while the major arc is the bigger. We define the arc angle to be the measure of the central angle which intercepts it.

The Inscribed Angle Conjecture I gives the relationship between the measures of an inscribed angle and the intercepted arc angle. It says that the measure of the intercepted arc is twice that of the inscribed angle.

The precise statements of the conjectures are given below. Each conjecture has a linked Sketch Pad demonstration to illustrate its truth (proof by Geometer's Sketch Pad!). The linked activities sheet also include directions for further "hands on" investigations involving these conjectures, as well as geometric problems which utilize their results.

The precise statement of the conjectures:

Conjecture (Inscribed Angles Conjecture I ): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc..



Corollary (Inscribed Angles Conjecture II ): In a circle, two inscribed angles with the same intercepted arc are congruent.



Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle.



Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

Answer: C. none of the above

Step-by-step explanation:

Because you are dealing with a positive and a negative number here, the only way you would be able to get a positive number out of both would be if you squared both of the numbers in parentheses. (grab a calculator and try it if you have one)

(6)^2 and (-6)^2 both give you 36.

And, 6)^3 and (-6)^3 both give you 216.

But, because there are no parentheses in the equation, then the answers would be different, so the correct answer is none of the above.

Answer:

2 2/3 yd

Step-by-step explanation:

Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?

8 ft x 1 yd/3 ft = 8/3 yd

As a mixed number:

8/3 = 2 2/3 yd of fabric

Answer:

The answer is a

Step-by-step explanation:

I hoped i helped

The right options are:

please see the attached picture

Hope it helps

Good luck on your assignment