Consider the line y=8x - 3

Find the equation of the line that is parallel to this line and passes through the point (3, -2)

Find the equation of the line that is perpendicular to this line and passes through the point (3, -2)

Answer:

8x² - 18x - 5

Step-by-step explanation:

2x (4x+1) -5(4x+1)

8x²+2x -20x-5

8x²-18x -5

Answer:

y= 3x+8

Step-by-step explanation:

distribute the '3' on the right first

y-5 = 3x+3

now add '5' to each side

y=3x+8

Answer:

[tex]y = 3x + 8[/tex]

Step-by-step explanation:

Distribute 3 through the parentheses:

[tex]y - 5 = 3x + 3[/tex]

Move the constant to the right-hand side and change it sign:

[tex]y = 3x + 3 + 5[/tex]

Add the numbers.

[tex]3 + 5 = 8[/tex]

So, the answer will be:

[tex]y = 3x + 8[/tex]

Answer:

Yup your good

Step-by-step explanation:

Answer:

Yes the answer is correct.

Answer:

First choice

Step-by-step explanation:

The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.

Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.

Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.

The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.

Answer:

The first term is -3 and the common difference is 6

Step-by-step explanation:

Recall that the nth term of an arithmetic progression AP is given as

Tn = a + (n - 1)d

where

Tn is the nth term

a is the first term and

d is the common difference while n is the number of terms

Given that the 18th term of Arithmetic progression is 99 and 29th term is 165 then

substituting the given values into the formula

a + 17d = 99

a + 28d = 165

solve both equations simultaneously

11d = 165 - 99

11d = 66

d = 66/11

= 6

recall that a + 17d = 99

a + 17(6) = 99

a + 102 = 99

a = 99 - 102

= -3

hence the first term is -3 and the common difference is 6

Answer:

6 1/10

Step-by-step explanation:

Answer:

26/12

simplify—>13/6

Step-by-step explanation:

Find the LCD (lowest common denominator)

The LCD of these two fractions is 12. Convert them to their denominators.

5/3 *4/4 = 20/12

2/4 *3/3= 6/12

Then add! 6/12 + 20/12 = 26/12

Simplify —> 13/6

Answer: Choice D)  [tex]\sqrt{2}:1[/tex]

Explanation:

The diagram shows the hypotenuse is [tex]6\sqrt{2}[/tex] units long and the leg is 6 units long. This forms the ratio [tex]6\sqrt{2}:6[/tex] where the hypotenuse is listed first. This is because it's mentioned first in the instructions (when compared to the other side 6).

We then divide both parts of the ratio [tex]6\sqrt{2}:6[/tex] by 6 to end up with the final answer [tex]\sqrt{2}:1[/tex]. This ratio says "the hypotenuse is exactly [tex]\sqrt{2}[/tex] times that of the leg length". This only applies to 45-45-90 triangles.

Option D is correct, √2 : 1 represents the ratio of the hypotenuse to the given side.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right triangle.

6√2 is the hypotenuse of the triangle.

We have to find the ratio of the  hypotenuse to the given side.

Let the adjacent side length is 6.

The ratio is hypotenuse by the side length

6√2/6

The 6 on numerator and denominator will be cancelled.

√2/1

Hence, √2 : 1 represents the ratio of the hypotenuse to the given side.

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Answer:

The common difference is 1/5.

Step-by-step explanation:

Each new term is equal to the previous term, plus the common difference 1/5.

-2 + 1/5 = -10/5 + 1/5 = -9/5  = -1 4/5, and so on.

Answer:

Step-by-step explanation:

[tex]c.d.=-1\frac{4}{5} -(-2)\\=-\frac{9}{5} +2\\=\frac{-9+10}{5} \\=\frac{1}{5}[/tex]

Answer:

5/12

Step-by-step explanation:

2/3 - 1/4

Get a common denominator of 12

2/3 *4/4 = 8/12

1/4 *3/3 = 3/12

8/12 - 3/12

5/12

Answer:

5 twelfth

Step-by-step explanation:

jajajajsjdjhueieiejdndnndnejejsnsndbbbenejeje

Answer:

i think your answer is 8.

Answer:

6.

Step-by-step explanation:

The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.

source: https://socratic.org/questions/whats-the-absolute-value-of-6

i hope this helps!

Answer:

6

Step-by-step explanation:

Absolute value of -6 = 6

Absolute value refers to only the distance from the origin and not the direction. So, always it is positive

Answer:

[tex]Domain = (-\infty, \infty)[/tex]

[tex]Range = (-\infty, 4][/tex]

Increasing interval is: [tex](-\infty, 0)[/tex]

Decreasing interval is: [tex](0, \infty)[/tex]

Constant at no interval

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The domain

From, the attached graph, we have:

[tex]y = -x^2 + 4[/tex]

The degree of the polynomial (i.e 2) is even.

Hence, the domain is the set of all real numbers, i.e.

[tex]Domain = (-\infty, \infty)[/tex]

Solving (b): The range

The curve of [tex]y = -x^2 + 4[/tex] opens downward, and the maximum is:

[tex]y_{max} = 4[/tex]

This means that the minimum is:

[tex]y_{mi n} = -\infty[/tex]

Hence, the range of the set is:

[tex]Range = (-\infty, 4][/tex]

Solving (c): Interval where the function increases/decreases/constant

In (a), we have:

[tex]Domain = (-\infty, \infty)[/tex]

Split to 2 (at vertex x = 0)

[tex](-\infty, 0)[/tex] and [tex](0, \infty)[/tex]

So:

The increasing interval is: [tex](-\infty, 0)[/tex]

The decreasing interval is: [tex](0, \infty)[/tex]

The function has a tangent at [tex]x = 0[/tex] but at no interval, was the function constant

The radius of the given circle is 13 unit.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Answer:

7 times the value of 2,304 times 681

Step-by-step explanation:

✨

Answer:

it is a

Step-by-step explanation:

hope it helps

Answer:

17 feet

Step-by-step explanation:

cos = adj/hyp

cos60 = adj/34

34 * cos60 = adj

adj = 17

In short, all you need to do is change "diameter" to "radius" in question 2. Other than that, you're perfect.

Answer:

7x + 8

Step-by-step explanation:

15x + 10 - 8x + 8

combine like terms

7x + 8

Answer:

$357

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

1/3*3/5*(2*1/4)

1/3*3/5*9/4

(1*3*9)/(3*5*4)=27/60 = 9/20

Answer:

[C] 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Limits

Derivatives

Definition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{h \to 0} \frac{f(3 + h) - f(3)}{h}[/tex]

[tex]\displaystyle f(x) = x^3[/tex]

Step 2: Solve

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:(-1,3)B

Step-by-step explanation:

just graph on desmos

Answer:

1) OTT

2) PGF

3) RBT

4) YGT

5) 24 different ways.. I just counted the total number of combinations.

6) 1/24 since there are 24 different outcomes and PBF is just one.

Answer:

The area of the figure is 61.24 cm

Step-by-step explanation:

The area for the parallelogram is determined by base x height, so 7 x 6 = 42.

The area of a circle is [tex]\pi[/tex]r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.

42 + 19.24 = 61.24

Answer: [tex]1\dfrac{3}{8}\ \text{inch}[/tex]

Step-by-step explanation:

Given

Rainfall in September is [tex]\frac{7}{8}[/tex] inch

Rainfall in October is [tex]2\frac{1}{4}[/tex] inch

Convert mixed fraction into fraction

[tex]\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}[/tex]

Difference between the two gives that how much more rain fall in October compared to September

[tex]\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}[/tex]

Answer:

a. $25 + ($0.20 × 150) = $25 + $30 = $55

b. $145 ÷ $0.20 = 725 miles

Given:

Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, Lamont finished in 100 minute.

To find:

Who had the faster time?

Solution:

We know that,

1 hour = 60 minutes

Time taken by Brooke = 1 hour 50 minutes

                                     = 60 minutes + 50 minutes

                                     = 110 minutes

Time taken by Lamont = 100 minutes.

Since the time taken by Lamont is less than the Brooke, therefore Lamont had the faster time.