Explain why there must be at least two lines on any given plane.

Answer:

480.

Step-by-step explanation:

We would need to draw the line of best fit through these point.

An estimate would be about 480.

Answer: [tex]12\ mph[/tex]

Step-by-step explanation:

Given

First cyclist travels [tex]3\ miles[/tex] in [tex]15\ min[/tex]

Then, [tex]7\ miles[/tex] in [tex]35\ min[/tex]

Average speed is given by [tex]=\dfrac{\text{Distance}}{\text{time taken}}[/tex]

[tex]V_{avg}=\dfrac{3+7}{15+35}[/tex]

[tex]V_{avg}=\dfrac{10}{50}=\dfrac{1}{5}\ mile/min[/tex]

[tex]V_{avg}=\dfrac{1}{5}\times 60\ miles/hr[/tex]

[tex]V_{avg}=12\ mph[/tex]

Thus cyclist speed is [tex]12\ mph[/tex]

Answer:

2,000,000,000.

Step-by-step explanation:

We know that when rounding, we take a look at the digit next to the digit we are rounding. So if I were to ask for you to round 122 to the nearest hundred, then the answer would be 100.

Remember that we round down if the digit next to it is 0-4. If the digit is 5-9, then we round up.

In this case, the digit next to the 2 is a 4. We know that we round down with a 4, so we go to the nearest whole billion, in this case 2 billion.

I hope this helps!

Answer:

107.8

Step-by-step explanation:

1 decimal point is the tenths place, thus we have 107.8

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

[tex]\frac{4}{20} = \frac{x}{360}[/tex]

Cross multiply:

[tex]1440 = 20x\\[/tex]

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

Answer:

l = 626.4/bh

Step-by-step explanation:

A triangular prism have a base that is triangular in shape. The volume of a prism has the volume represented as follows.

volume = Al

where

A = Base area

l = width

Since the base is a triangle the base area will be the area of a triangle. Therefore,

volume of a triangular prism = 1/2bh l

where

b = base of triangle

h = height of triangle

volume = 313.2 ft³

313.2 = 1/2bh l

Make the width(l) subject of the formula

multiply both sides by 2

626.4 = bhl

divide both sides by bh

l = 626.4/bh

l = 626.4/bh

recall l = width

Answer:

C

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

114° is an external angle of the triangle , thus

y + y = 114°

2y = 114° ( divide both sides by 2 )

y = 57° → C

Answer:

0

Step-by-step explanation:

Smallest value of C would be when A = - 2 and B = - 2

[tex]\because C = (A - B) ^2 \\ \therefore C = \{ - 2- ( - 2) \}^2 \\ \therefore C = \{ - 2 + 2 \}^2 \\ \therefore C = \{ 0 \}^2 \\ \huge \red{ \boxed{\therefore C = 0}}[/tex]

Answer:

105cm^2

Step-by-step explanation:

5 times 6 = 30

30 div 2 = 15

6 times 15 = 90

90 + 15 = 105

Answer:

The answer is "Expression: x+(x+2)".

Step-by-step explanation:

Given:

The sum of two consecutive even numbers

Proving:

Let,

The First number is = x

The second consecutive number is = x+2

Calculating value by adding value:

Expression:

[tex]\Rightarrow x+(x+2)\\\\[/tex]

when x= 1, 2, 3 .... it gives:

[tex]\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\[/tex]

That's why the sum of consecutive numbers is even.

Answer:

$10

Step-by-step explanation:

see attachment for the complete question.

140 - 50=90

90 divided by 9 is 10  

Therefore,the cost of shoes per person is $10.

Answer:

To make it clearer, I just put every thing under the formal form

f(x) = [tex]\left \{ {{2x^2-1~~~~if~~~~ x\leq -1} \atop {3x+2~~~~~if~~~~~x>-1}} \right.[/tex]

Step-by-step explanation:

Now, you have 2 equations with 2 conditions. One is > -1, and one is < -1.

The question is about f (5). So, which equation you use to replace x = 5? The first one or the second one? and why?

Answering those questions help you understand how it works.

Answer:

t15 is equal to 30-x so therefore t= 30-x/15

Answer:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

On a coordinate plane, a line has points (-2, -4) and (4, 2). Its slope is:

m = [2 - (-4)]/[4 - (-2)] = 1

To be parallel, both lines have the same slope.

General equation of a line:

y = mx + b

Replacing with m = 1 and Point P (0, 4), we get:

4 = 1(0) + b

4 = b

Therefore, the equation of the line is:

y = x + 4

Replacing x = -4 into the equation:

y = -4 + 4 = 0

Replacing x = -1 into the equation:

y = -1 + 4 = 3     then (-1, 3) lies on the line

Replacing x = -2 into the equation:

y = -2 + 4 = 2     then (-2, 2) lies on the line

Replacing x = 4 into the equation:

y = 4 + 4 = 8

Replacing x = -5 into the equation:

y = -5 + 4 = -1     then (-5, 1) lies on the line

Answer:

[tex](-1,3), (-2,2), (-5,-1)[/tex]

Step-by-step explanation:

1) There's Need for the segment. Reminds me the centroid of a triangle which divides the triangle into two segments in a 2:3 ratio.

2.On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)

1) Let's find the slope of the line [tex]r[/tex] with points [tex]A(-2,-4) \:and\:B(4,2)[/tex]

[tex]m=\frac{2-(-4)}{4-(-2)}=\frac{6}{6}=1[/tex]

2) Now the linear coefficient,

[tex]y=mx+b\\0=1(-2)+b\\b=-2[/tex]

Then the first line [tex]r[/tex] whose points are [tex]A(-2,-4) \:and\:B(4,2)[/tex] is [tex]y=x-2[/tex]

3) From Analytical Geometry, a Parallel line must have the same slope, so that these lines may never intercept each other just like the graph below. So the slope, the angular coefficient must value the same amount.

[tex]m_1=m_{2} \therefore m_{1}=m_{2}=1[/tex]

So, the line [tex]s[/tex] is :

[tex]y=mx+b\\4=1*0+b\\\therefore b=4\\y=x+4[/tex]

4) Testing the points

[tex]2=-4+4 \:\\2\neq 0\\(-1,3)\\3=-1+4\\3=3\\(-2,2)\\2=-2+4\\2=2\\(4,2)\\2\neq 2+4\\(4,2)\\2\neq 4+2\\(-5,-1)\\-1=-5+4\\-1=-1[/tex]

Answer:

true

Step-by-step explanation:

is it true? i am not sure

Answer:

Step-by-step explanation:

We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle

the slant height is equivalent to the hypotenuse

the height is equivalent to the opposite

while the base(half) is the adjacent

Given

the base of the pyramid= [tex]22.2 in[/tex]

the adjacent is = [tex]\frac{22.2}{2} = 11.1 in[/tex]

the slant height (hypotenuse)= [tex]88.2 in[/tex]

we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').

[tex]c^2=a^2 + b^2[/tex]

[tex]hyp^2=opp^2+adj^2[/tex]

substituting we have

[tex]88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in[/tex]

Answer:

A =200.96 in ^2

Step-by-step explanation:

The radius of the circle is 8 in

The area of the circle is

A = pi r^2

A = 3.14 * 8^2

A =200.96 in ^2

Answer:

A is the answer

Step-by-step explanation:

Area of a circle= 3.14*8^2

8^2=64

64*3.14=200.96

Answer:

7

Step-by-step explanation:

15 + 8(2 - 3)

15 + 16 - 24

15 - 8

= 7

Answer:

100

Step-by-step explanation:

6x6=36

adding 4 is equal to 10

10x10 = 100

Answer:

1

Step-by-step explanation:

The Other Dimension:

2/3 divided by 1 1/2 = 2/3 x 3/2 = 1

Hope this helps

Ps. I have taken the dimension length to be  a mixed number, because they were farther apart. please let me know if wrong

Answer:

Step-by-step explanation:

28x-12y=16 and -6x-12y=3

or

14x-6y=4 and -14-28y=1

or

-28x-12y=16 and 28x-56y=14

Answer:

b=0.5

and the other part is:

B.) The graph shows exponential decay

D.) The graph shows y=2^x reflected over the y-axis

Step-by-step explanation:

i just did this problem on edge 2020

Answer: 0.5, B&D

Step-by-step explanation:

Answer:

5.25 pounds

Step-by-step explanation:

We know that 16 ounces  = 1 pound

Divide 84 ounces by 1 pound

84/16 = 5.25 pounds

Answer:

[tex]5.25 \: \: pounds[/tex]

Step-by-step explanation:

[tex]1 \: \: pounds = 16 \: ounces \\ [/tex]

so,

[tex]84 \: \: ounce = 5.25 \: \: pounds[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

d = 9

Step-by-step explanation:

Calculate the slope of ab then equate to 3.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

Step-by-step explanation:

replace x with y and y with x

Answer:

90 miles per hour is the average speed.

Step-by-step explanation:

The formula for Average Speed can be given as follows:

[tex]\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}[/tex]

Here time taken is from 1 PM to 4 PM i.e.

Total Time taken = (4-1) hours = 3 hours

Also, it is given that the Total distance covered = 270 miles

As per the formula above:

[tex]\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour[/tex]

So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.

Answer: 5. The second box required more material to make.

6. A company saves about $84.94 by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box.

Step-by-step explanation:

5.  To solve this problem you need to find the volume of the boxes.

Volume of the first box.

v= 8 * 6.25 * 10.5

v= 525  

Second box volume

9 * 5.5 * 11.75 = 581.625

Which means the second box required more material to make because it has the greatest volume.

6. To solve this you have to multiply the volume of small and large boxes by 50 the multiply it by 0.03.

525 * 50 = 26250 * 0.03 = 785.5

581.625 *50 = 29081.25 * 0.03= 872.4375

872.4375 - 785.5  = 84.9375 which is about $84.94.

Answer:

6 times 7 times 8

Step-by-step explanation: