Which of the following is a point-slope equation for a line with the point (-2, 4) and a slope of 3?

Answer:

x=24

Step-by-step explanation:

3/4(x-8)=12

Multiply each side by 4/3

4/3*3/4(x-8)=12*4/3

x-8 = 16

Add 8 to each side

x-8+8 = 16+8

x=24

Answer:

x = 24

Step-by-step explanation:

Essentially, you need to break this apart.

You need to isolate the x to figure it out with division or something.

To isolate, you need to get rid of the numbers around it.

To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.

You now have

x-8 = 12/0.75

You can quickly punch the right side into a calculator to make it easier.

x - 8 = 16

You then add 8 to both sides to finish off the x, to get

x = 24

Answer:

The 100 students who are asked questions.

No, because

2(y + 1,5)  = 2 · y + 2 · 1,5 = 2y + 3

2y + 3 ≠ 2y + 1,5

Answer:

No

Step-by-step explanation:

2 ( y + 1.5 ) = 2y + 3. Not 2y + 1.5

[tex]a-3+a-5=\\\\=a+a-3-5=\\\\=\boxed{2a-8}[/tex]

Answer:

C = y - 3x-1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

C = y - 3x-1 is in slope intercept form

The answer is A.

I took the test.

Answer:

0.861

Step-by-step explanation:

Answer:

31/36

Step-by-step explanation:

3/4 + 1/9

= 31/36 --> this is the simplest form, you can't simplify any further.

Answer:

x³ (4x + 1)(4x - 1)

Step-by-step explanation:

Answer:

x^3 (4x-1)(4x+1)

Step-by-step explanation:

16x^5-x^3

Factor out x^3

16* x^2*x^3 - x^3

x^3(16x^2 -1)

The term inside the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

x^3 ( (4x)^2 -1^2)

x^3 (4x-1)(4x+1)

Answer:

KM = 50 mm , ∠ K = 104°

Step-by-step explanation:

Note that KM = KL = 50mm ( congruent legs )

This indicates the triangle is isosceles with base angles congruent, both 38°

∠ K = 180° - (38 + 38)° = 180° - 76° = 104°

Answer:

So the answer is 398°

Step-by-step explanation:

hope it helps

Answer:

8th term is -15309

Step-by-step explanation:

[tex]{ \boxed{ \bf{u_{n} = a( {r}^{n - 1} ) }}} \\ { \tt{u_{8} = 7( {( - 3)}^{8 - 1}) }} \\ { \tt{u_{8} = 7( - 2187)}} \\ { \tt{u _{8} = - 15309}}[/tex]

r is the common difference, r = -21/7 = -3

Answer:

a₈ = - 15309

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{7}[/tex] = - 3 , then

a₈ = 7 × [tex](-3)^{7}[/tex] = 7 × - 2187 = - 15309

Step-by-step explanation:

The Birch tree has a greater density.

Answer:

The correct choice is Option A. m ≥ -28/5

Step-by-step explanation:

Multiply x and y by 2:

A. (-6, 4)

B. (2, 2)

C. (-2, -2)

Answer:

Step-by-step explanation:

Answer:

820

Step-by-step explanation:

41.2 * 19.8 = 41 *20 = 820

41.2

In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41

19.8

In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.

19+1 = 20

Answer:

add 3, add 5, add 3

Step-by-step explanation:

1, 4, 9, 12

add 3, add 5, add 3

Answer:

x^2

Step-by-step explanation:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

And so on.

So, the rule is x^2.

Answer: 159

Step-by-step explanation:

We have to find the surface area of two triangles and 3 rectangles

To find the surface areas of the triangles, we use the formula: base x height / 2

6 x 5.5 / 2 = 16.5

Multiply that by 2 since there are 2 of them

16.5 x 2 = 33

To find the surface area of the rectangles, we multiply the length and width

7 x 6 = 42

Multiply that by 3 since there are 3 of them

42 x 3 = 126

Add up all the surface areas

126 + 33 = 159

The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331

The volume of the cone can be calculated by the given formula:

                       The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

where r = radius of the cone

           h = height of the cone

Solution:

The volume of the original cone= .......1

It is given that the height and radius of a cone are multiplied by 11.

then volume

= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]

= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2

The change in volume of the cone after multiplying 11 to r and h would be

dividing equation 2 by equation 1

=  [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]

= 121*11

= 1331

Thus, The volume of the original cone is multiplied by 1331

Learn more about the volume of the cone:

https://brainly.com/question/1315822

Answer:

22 degrees

Step-by-step explanation:

Corresponding angles in similar triangles are equal

So the corresponding angle would be 22 degrees

Answer:

[tex]3 {x}^{2} - 16x + 16 \\ 3 {x}^{2} - 12x - 4x + 16 \\ 3x(x - 4) - 4(x - 4) \\ (3x - 4)(x - 4)[/tex]

Step-by-step explanation:

I hope it helped U

stay safe stay happy

Answer:

13

Step-by-step explanation:

[2×1+6×4]÷2

[2+24]÷2

26÷2

13

Answer:

y=-3x+5

Step-by-step explanation:

concepts: y=mx+b is slope intercept equation formula

m=slope

b= y intercept

Therefore we need to find the slope and y intercept

first find slope

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

let y2 be 2

let y1 be -4

let x2 be 1

let x1 be 3

[tex]\frac{2-(--4)}{1-3}[/tex]

6/-2 = -3

m=-3

slope is -3

y= -3x+ b

we need find y intercept now

just plug in (1,2) into that equation

2=-3(1)+b

b=5

y=-3x+5

Step-by-step explanation:

1/(seca-tana) - 1/cosa=1/cosa -1/(seca+tana)

There are many ways to solve this, let's take a look at a simple one

1/(seca-tana) + 1/(seca+tana) =1/cosa + 1/cosa

((seca-tana)+(seca+tana))/(sec^2a-tan^2a)=2/cosa

(seca-tana+seca+tana)/1=2*1/cosa

2seca=2seca

Answer:

(x, y ) → (x + 7, y + 5 )

Step-by-step explanation:

Consider the coordinates of R and R'

R (- 5, 0 ) and R' (2, 5 )

x- direction : - 5 → 2 is + 7 units

y- direction : 0 → 5 is + 5 units

Translation rule is (x, y ) → (x + 7, y + 5 )

Answer:

8A

Step-by-step explanation:

We are multiplying the matrix by a scalar

Each term in the first matrix is multiplied by 2

[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]

Factor out 2

[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]

We know that the determinant of a matrix when multiplied by a scalar is found by

det ( a A) =a^n * det (A)

The scalar in this case is 2  and n is the number of rows ( or columns) since the matrix must be square

 det (2A) = 2^3 det(A)  = 8A

Answer:

(A)

Step-by-step explanation:

Factor the 2 out and do 2/1=x/A

X=2A

Answer:

8.06

Step-by-step explanation:

by using pythagoras

BC^2=1^2+8^2

BC^2=1+64

BC^2=65

BC=√65

BC=8.06

  [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

Know more about x-intercept and y-intercept here:

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Answer: Option 4 (Hexagon)

Step-by-step explanation:

A equilateral triangle, square and hexagon can be used to form a tessellation.

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Answer:

Below

Step-by-step explanation:

First we can find the volume of the box

v = lwh

v = (20)(16)(16)

v = 5120 in^3

Find the volume of the cylinder using this formula

   V = πr^2h

   V = π(5)^2(20)

   V = 1570.79633 (plug this into the final equation, not the rounded one in case it screws up the final value)

   V = 1570.8 in^3

Now we can find the volume of the shaded region by subtraction

5120 - 1570.7963= 3549.2037

Rounding to the nearest 10th and you get....

V = 3549.2

Hope this helps!

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)