Find the value of x.

Hi! Your answer is m = 4 or slope is 4.

Make sure to read an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:

[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]

The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".

From (2,4) and (3,8). We substitute the given coordinate points in the formula.

[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]

Hence, the slope is 4.

Additional Note

Hope this helps!

Answer:

V = 12π in³

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Radius r = 2 in

Height h = 3 in

Step 2: Find Volume

Answer:

55.1

Step-by-step explanation:

delta math

Answer:

58

Step-by-step explanation:

4 × 5 to the power of 2 + 3 × 5 + 3

Answer:

Option B

118

Step-by-step explanation:

[tex]4{x}^{2} + 3x + 3[/tex]

By putting the value of x = 5

[tex] = 4 {(5)}^{2} + 3 \times 5 + 3[/tex]

= 4 × 25 + 15 + 3

= 100 + 18

= 118 (Ans)

Answer:

13 yards

Step-by-step explanation:

Answer: I believe it’s C

Step-by-step explanation: I hope i’m right

Answer:

see below

Step-by-step explanation:

5/8+ 3/8

Since the denominator is the same, we can add the numerators

(5+3) /8 = 8/8 = 1

5/8- 3/8

Since the denominator is the same, we can subtract the numerators

(5-3) /8 = 2/8 = 1/4

Answer:

Sum=1

Difference= 1/4

Step-by-step explanation:

I added them together to find the sum.

I subtracted them to find the difference.

Answer:

Yes

Step-by-step explanation:

20% of 90= 72

then you want to subtract the amount of money you have minus how much it is 75 - 72 = 3

since the answer is a positive number that means yes.

Answer:

3 Dress pants and 6 jeans

Step-by-step explanation:

Answer:

x= -1

Step-by-step explanation:

Given data

We have the expression as

(x+1)/(x+1)= 1/2​

let us first cross multiply

2(x+1)=(x+1)

2x+2=x+1

collect like terms

2x-x=1-2

x= -1

Hence the value of x=-1

Answer:

24 I guess

Step-by-step explanation:

There are 2 sides in a coin so 12 x 2 = 24

Answer:

[tex]\frac{8}{25}[/tex]

Step-by-step explanation:

Since any percentage is out of 100, we make 100 the denominator.

Answer:

Check pdf

Step-by-step explanation:

Answer:

4811?

Step-by-step explanation:

sorry if incorrect

Answer:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Step-by-step explanation:

Given

[tex]x=t[/tex]

[tex]y=e^{-t}[/tex]

[tex]z=2t-t^2[/tex]

(0, 1, 0)

The vector equation is given as:

[tex]r(t) = (x,y,z)[/tex]

Substitute values for x, y and z

[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]

Differentiate:

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

The parametric value that corresponds to (0, 1, 0) is:

[tex]t = 0[/tex]

Substitute 0 for t in r'(t)

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2)[/tex]

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

[tex]r(t) = a + tv[/tex]

Such that:

[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]

The equation becomes:

[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]

[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]

[tex]r(t) = (0+t,1-t,0+2t)[/tex]

[tex]r(t) = (t,1-t,2t)[/tex]

By comparison:

[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]

The parametric equations for the tangent line are:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Answer:41.25

Step-by-step explanation:

22/8 equals 2.75. Multiply the distance the car can travel by 2.75 to find how many miles it can run on with 22 gallons of gas. The answer will be 41.25 mi. Hope this helps :)

Answer:

135.87

Step-by-step explanation:

7% of 126.99 is 8.8893

add 126.99 to 8.8893

you get ~135.87

Answer:

8.89

Step-by-step explanation:

Take the cost of the item times the tax rate to find the amount of tax

126.99 * 7%

Change to decimal form

126.99 * .07

8.8893

Round to the nearest cent

8.89

Answer:

10

Step-by-step explanation:

Answer:

The answer is 3/4

Step-by-step explanation:

If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The "form factor" in the attached is the difference between the sum of the squares of the short sides and the square of the long side. If that difference is 0, the Pythagorean theorem is satisfied, and the triangle is a right triangle. When the difference is positive, the triangle is acute; negative, the triangle is obtuse.

As you can see, all but the third triangle are right triangles.

__

Example calculation:

A: 5^2 +12^2 -13^ = 25 +144 -169 = 0

__

I like to let a spreadsheet do the work when there are repetitive calculations. The formula and data only need to be entered once.

Answer:

c = 12.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

Leg a = 7.5

Leg b = 10

Hypotenuse c = c

Step 2: Solve for c

Answer:

(b) 42m

Step-by-step explanation:

Perimeter of a rectangle ⇒ P=2(l+w)

Which means P=2·(12+9)

Which equals 42

Answer:

2743.851 adults aged 57 through 85 years used at least one prescription medication.

Step-by-step explanation:

I did this on a calculator so yeah...

Answer:

32

Step-by-step explanation:

24/(3/4)

Answer:

32 meals

Step-by-step explanation:

24 / (3/4)

Multiply by reciprocal:

24 x (4/3) = 32

Answer:

142

Step-by-step explanation:

142 I believe on study island

Answer: 100

Mode is simply the number which appears most often.

100 is the only number that appears more than once

Answer:

Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.  

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Step-by-step explanation: