Mathematics College

Which statement best explains the relationship between
lines AB and CD?
They
Le
parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.

Answers

Answer 1

Answer:

A. parallel because their slopes are equal.

Step-by-step explanation:

because parallel means matching

meaning they have the same slope

Related Questions

The NY Jets won 45% of its games. If the team won 9 games how
many games did they lose?
a) 45
B) 20
c) 5
d) 11

Answers

Answer:

Step-by-step explanation:

total games 9/20x=9

x=20

so bubtarcting 9 from 20 we get 11 games which is D

if my answer helps please mark as brainliest.

APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5

Answers

Answer:

[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinatey₁ - y coordinatem - slope

Algebra II

Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]

Step 2: Differentiate

[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]

Step 3: Find Slope of Tangent Line

Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]

Step 4: Find Tangent Line Equation

Point (x, y)

Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]

Equation

Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]

Topic: AP Calculus AB/BC

Unit: Derivatives

Book: College Calculus 10e

Slove the following:

Answers

Answer:

let required no be x

[tex] \frac{1}{7} = \frac{x}{42} [/tex]

by doing crisscrossed multiplication

[tex]42 \times 1 = 7 \times x[/tex]

42=7x

dividing both side by 7

[tex] \frac{42}{7} = 7x \div 7[/tex]

6=x

therefore x=6

therefore value of remaining no.is 6

Step-by-step explanation:

solution

here,

let, the required number be x

1/7=x/42

or, 42= 7x

or, x= 42/ 7

therefore, x= 6

hope this helps u...

Find three consecutive even integers such that the product of the first and the second is 8
greater than - 10 times the third integer.

Answers

I think u should divide 8 and 10 then u will get your answer hope that helps

What is the solution to the expression -2-3-(-4)?

-9
-3
-1
5

Answers

Answer:

-1

Step-by-step explanation:

−2−3−(−4)

One number exceeds another by 8. The sum of the numbers is 46. What are the numbers?

Answers

[tex]x + x +8 = 46 \\ 2x = 46 - 8 \\ x = 48 \div 2 \\ x = 24[/tex]

AY
100
90
80
70
60
50
40
30
20
10
х
0
10 20
30 40 50 60 70 80 90 100

Answers

Answer: 849309

Step-by-step explanation:

solve for x please, will give braknliest

Answers

Answer: The answer should be 72

Explanation: Triangles add up to 180. The two bottom points are the same. So you would take 180 and subtract it by 36. That would give you 144. You would then take 144 and divide it by 2, because the two angles are the same and your only trying to find one.

Evaluate the function, f(m)=4+2.5m, when m=3

Answers

Answer:

11.5

Step-by-step explanation:

its up there

Solve. You must factor first.

5x^2+ 17x+ 14=0
Please show work

Answers

Answer:

the answer is X=-3

1) 5x^2+17x+14=0

2)5x^2+17x=-14+0

3)25x+17x=-14

4)42x=-14

5)42x/-14

6)x=-3

Can someone help me solve this

And what does complementary,
supplementary,vertical,
And adjacent angles mean!?!?!

Answers

Answer:

angle 6 and 5.

complementary means 2 angles whose sum is 90° and supplementary means 2 angles whose sum is 180°. a way to remember is that is: c(from complementary) is way before s(from supplementary) in the alphabet so you know that complementary has the smaller amount. adjacent angles share the same endpoint of and angle and vertical angles are pairs of the opposite angles made by intersecting lines

PLEASE HELP answer this and explain will mark brainliest

Answers

Answer:

a) n + 1 represents the next larger integer

b) n + n + 1 + n + 2 + n + 3

c) s = n + n + 1 + n + 2 + n + 3

d) n = [tex]\frac{s-6}{4}[/tex]

e) n = 2174 - 6 / 4 = 2168 / 4 = 542

Step-by-step explanation:

how do you find the equation to lines or a line on a graph??

Answers

Answer:

The point on the Y goes at the end of the equation. The dimensions of the point on the Y is the slope. So Y=2/3x+6

Step-by-step explanation:

Hope this helps! :)

The point on the Y graph

Which expressions are equivalent to 7(-3/4x-3)? Select two options.

Answers

Answer:

7(-3/4x-3) is the same as

7(-3/4x)-7(3) and

-5 1/4x-21

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

got 100 on the quiz

A right triangle has a rise of 16 and a run of 4.
A similar right triangle with a run of 5 will have
a rise of what

Answers

Answer:

5/4

Step-by-step explanation:

Make a proportion:

16/4 = 5/x

Cross Multiply:

20 = 16x

x = 5/4

The correct answer should be
5/4

At a store,a basketball has been discounted 20% off the regular price. The sale is $15 .What was the original price of the basketball? Show your work and explain your answer.

Answers

Answer:

$18

Step-by-step explanation:

Since there was a 20% discount all we have to do is add 20% to the sale price.

15 increase 20% =

15 × (1 + 20%) = 15 × (1 + 0.2) = 18

can you help me with this

Answers

Answer:

Step-by-step explanation:

180-(67+28)

180-95

please mark brainliest

Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2?

Answers

Answer:

34°

Step-by-step explanation:

complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.

What is the circumference of a circle with a radius of 3
inches? Use
3.14

Answers

Answer:

C= 18.85 if you want circumference, A= 28.27 if you want area.

Step-by-step explanation:

For circumference, you would want to multiply the radius with pi (pi x 3.14). The formula for it that you could keep in mind is, "C = 2 pi r" For area, the formula of the circle is, "A = pi r^2" or "Area equals pi r squared"

The circumference of a circle with a radius of 3 inches is 18.84 inches.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the circumference of a circle with a radius of 3 inches.

The formula for circumference of circle is 2πr

Where r is the radius of the circle.

Given radius is 3 inches

Circumference=2π(3)

=6π

The value of π is 3.14

=6×3.14

=18.84 inches

Hence, the circumference of a circle with a radius of 3 inches is 18.84 inches.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

Surface Area of 20,30,80 and combine like terms 18h + 30hk will give brainliest to correct answers

Answers

Answer:

48000 surface area and 6h(5k+3) Like Terms equation

Step-by-step explanation:

Surface Area steps

20×30×80

Multiply 20 and 30 to get 600.

600×80

Multiply 600 and 80 to get 48000.

48000

Combine Like Terms Steps

18h+30hk

Factor out 6.

6(3h+5hk)

Consider 3h+5hk. Factor out h.

h(3+5k)

Rewrite the complete factored expression.

6h(5k+3)

What is the inequality shown?

Answers

This type of graph is called a segment.

To write the solution set which represents the graph

of a segment, read the segment from left to right.

If you take a look at the segment shown here, we would start with the endpoint on the left which is a -4, our variable x would be in the middle, and we would finish things off with the endpoint on the right, which is 5.

Since we have an open dot at -4, we use a less than sign between the -4 and the x and since we have a closed dot at 5, we use a less tan or equal to sign between the x and the 5.

It's important to understand that when representing a segment by reading it from left to right, you will only use "less than" or "less than or equal to" between the parts, never "greater than" or "greater than or equal to."

So the solution for this graph is read {x: -4 < x ≤ 5}.

would this be 90? with steps please

Answers

Answer:

K so the added measure of all the angles in a rhombus should be 360 degrees so the answer is 90.

Step-by-step explanation:

i dunno how else to explain.

Please help ASAP ......

Answers

Answer:

Closed 11 shaded to the right

Step-by-step explanation:

Answer:

Step-by-step explanation:

X is equal to or greater than 12

Someone help me please crack this code?

Answers

Answer:

B=1 C=4 D=6 A=9

Step-by-step explanation:

Its a clock

Answer:

A = 9

B = 1

C = 4

D = 6

Step-by-step explanation:

I need help with this If right

Answers

Answer:

14° I think sorry if its wrong this was quick one

Answer:

[tex]10^0[/tex]

Step-by-step explanation:

the sum of all angles should add to a straight line, a straight line has an angle of 180 so add 92 and 78 subtracting the total from 180

[tex]92+78=170\\180-170=10\\answer =10^0[/tex]

⅚of the number of pupils in a class is 4 greater than three-quarters of the number in the class .find the number of pupils in the class

Answers

Answer:

48 pupils

Step-by-step explanation:

let the number of people in the class be x

⅚ of the number of pupils in a class is expressed as ⅚x

4 greater than three-quarters of the number in the class is expressed as 3/4x+4

Equating both expressions

⅚x = 3/4x + 4

5x/6 - 3x/4 = 4

(10x-9x)/12 = 4

x/12 = 4

x = 4*12

x = 48

Hence the number of pupils in the class is 48 pupils

Could you help with this question?

(X-2)= -5.5

Answers

Answer:

-3.5 i believe

Step-by-step explanation:

Answer : X=-3.5

Step-by-step explanation:

What is 2/5 as a decimal and percent

Answers

.4 as a decimal, 40% as a percent

Simplify 9р – 2р +р

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

9р – 2р +р

7p+p

Help me pls pls pls

Answers

The answer for this question is

4y+8

Answer:

Step-by-step explanation:

Multiply each term in the parentheses by 4.After that you will multiply the numbers and get *4y+8*

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