The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 = 1/4 (x - 12). What is the standard form of the equation for this line?

a) x-4y=8
b) x-4y=2
c) 4x-y=8
d) 4x-y=2​

Answer:

Math seminar is a course probably for freshman. They will work in a group to discuss several math problems.

Answer:

A. vertex B

B. Side BC and BD

C. Angle EBD

Step-by-step explanation:

An angle is an undefined term in plane geometry.

Vertex of [tex]\angle 4[/tex]

The vertex of an angle is the point where the rays that form the angle meet.

From the diagram, rays BE and BA meet at point B to form [tex]\angle 4[/tex].

Hence, the name of the vertex is B

Sides of [tex]\angle 1[/tex]

The sides of an angle are the rays or sides that form the angle

[tex]\angle 1[/tex] is formed by rays BC and BD

Hence, the sides are BC and BD

Another name for [tex]\angle 5[/tex]

An angle can be named by combining the sides and the vertex.

The sides of [tex]\angle 5[/tex] are DB and BE, while the vertex is B

This means that rays DB and BE meet at point B

Hence, another name is [tex]\angle DBE[/tex]

Classify the angles

Angles are classified based on the measure

[tex]\angle FBC[/tex] is a right angle, because [tex]\angle FBC = 90^o[/tex]

[tex]\angle EBF[/tex] is an obtuse angle because [tex]\angle EBF[/tex] is greater than [tex]90^o[/tex] but less than [tex]180^o[/tex]

[tex]\angle ABC[/tex] is a straight angle, because [tex]\angle ABC= 180^o[/tex]

Angle bisector

The line or ray that divides an angle into equal halves is an angle bisector.

Ray BE is an angle bisector, because it divides [tex]\angle DBA[/tex] into two equal halves.

Find [tex]\angle EBC[/tex]

We have:

[tex]\angle EBD = 36[/tex]

[tex]\angle DBC = 108[/tex]

[tex]\angle EBC[/tex] is calculated using:

[tex]\angle EBC = \angle EBD +\angle DBC[/tex]

[tex]\angle EBC = 108+36[/tex]

[tex]\angle EBC = 144[/tex]

Find [tex]\angle ABE[/tex]

We have:

[tex]\angle EBF = 117[/tex]

[tex]\angle DBC = 108[/tex]

[tex]\angle ABE[/tex] is calculated using:

[tex]\angle EBF = \angle ABE +\angle EBD + \angle ABF[/tex]

Where

[tex]\angle ABF = 90[/tex]

[tex]\angle ABE = \angle EBD[/tex]

So, we have:

[tex]117 = \angle ABE +\angle ABE + \angle 90[/tex]

[tex]117 = 2\angle ABE + 90[/tex]

Collect like terms

[tex]2\angle ABE =117 - 90[/tex]

[tex]2\angle ABE =27[/tex]

Divide both sides by 2

[tex]\angle ABE =13.5[/tex]

Read more about angles at:

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Answer:

A.3

Step-by-step explanation:

x-11=-8

x-11+11=-8+11

x=-8+11

x=3

Hope this helps ;) ❤❤❤

Answer: [tex]x=3[/tex]

Add 11 to both sides

[tex]x-11+11=-8+11\\x=3[/tex]

Answer:I cant see the diagram

Step-by-step explanation:

Answer:

C -4,3  D stays the same  B stays the same

Step-by-step explanation:

The three numbers between 0.63 and 0.64 will be 0.6325, 0.6350, and 0.6375.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The number between 0.63 and 0.64 is calculated as,

⇒ (0.63 + 0.64) / 2

⇒ 0.635

The number between 0.63 and 0.635 is calculated as,

⇒ (0.63 + 0.635) / 2

⇒ 0.6325

The number between 0.635 and 0.64 is calculated as,

⇒ (0.635 + 0.64) / 2

⇒ 0.6375

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer: X= 7.5

Step-by-step explanation:

You have to add the like terms 24+37 which gives you 61. Then subtract 76-61 which is 15. Then divide 15/2 which is 7.5

Answer:

when you translate you move the "x" term.  

so moving to the right is x-2 (sign opposite of direction)

g(x) = (x-2) + 2

Step-by-step explanation:

Answer: she would have to use 5 seed packets

This is because every seed packet has 15 plants so 15 x 5 would equal 75

If you only use 4 packets you would be short 5 plants so you have to add another packet to get all 65 plants

Step-by-step explanation:

For y = x^3 - 4 when x = 0, y = -4.

For y = x^2 + 3 when x = 0, y = 3.

Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.

The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.

Hence the answer is D.

Answer: Alternate Interior Angles

Step-by-step explanation:

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Answer:

It's -15 than normal

Answer:

7 m

Step-by-step explanation:

As the question is given, the tree is broken from the middle and the length of the broken part is:

So it is 7 m

Answer:

Any value of x makes the equation true.

All real numbers

Interval Notation:

(−∞,∞)

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

8x+11=2(4x-7)+25

8x+11=8x-14+25

8x+11=8x+11

8x-8x=11-11

x=0

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5(6x - y)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{20x + 10x - 5y}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{30x - 5y}}[/tex]

Take 5 as common

[tex] \dashrightarrow{ \sf{5(6x - y)}}[/tex]

Hope I helped!

Best regards! :D

Answer:

30x-5y

Step-by-step explanation:

20x+10x=30x

30x-5y

5x+8=x

Step 1: Subtract x from both sides.

5x+8−x=x−x

4x+8=0

Step 2: Subtract 8 from both sides.

4x+8−8=0−8

4x=−8

Step 3: Divide both sides by 4.

4x

4

=

−8

4

x=−2

Answer:

x=−2

i hope this helps you

Answer:

the answer is 3/4

Step-by-step explanation:

√3x3/4x4

I. e. 3/4

Hope it helps

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Answer: d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The amount of tickets p is more or equal to 18

Answer:

the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer

Answer:

The answer is A

Step-by-step explanation:

Answer:

I think it should be put at

(5,4)

Answer:

(4,3)

Step-by-step explanation:

To get from the fire pit to the tree, you have to go up 6 and over 6. 1/3 of each of those distances is 2 (6*1/3). So to get 1/3 of the distance, you have to go up to and over 2 from the fire pit. That would land at the point (4,3)

Answer:

B.6x^2

Step-by-step explanation:

[tex]\left(2x^2\right)\times\:3\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=2x^2\times\:3\\\\=6x^2[/tex]

Answer:

C. 2.3%

Step-by-step explanation:

What percent of 55 is 125 kind of also means how many 55's can go into 125 so you do 125 divided by 55 which is 2.272727.....and so on.

In the answer choices C. 2.3% is the closest.

Answer:

-9x+12

Step-by-step explanation:

(-8x + 5) - (x – 7)​

Distribute the minus sign

(-8x + 5) - x + 7

Combine like terms

(-8x -x+ 5+7) ​

-9x +12

Answer:

X equal to 8

Step-by-step explanation:

Three times eleven

Thirty three minus one

Thirty two divide by four

Answer: x=8

Step-by-step explanation:

Given

[tex]\frac{4x+1}{3} =11[/tex]

Multiply 3 on both sides (multiplication property of equality)

[tex]\frac{4x+1}{3} *3=11*3[/tex]

[tex]4x+1=33[/tex]

Subtract 3 on both sides (subtraction property of equality)

[tex]4x+1-1=33-1[/tex]

[tex]4x=32[/tex]

Divide 4 on both sides (division property of equality)

[tex]4/4 x= 32/4[/tex]

[tex]x=8[/tex]

Answer:

x=1   and  y=-2

Step-by-step explanation:

5-2i-7=-2-2i

x-(3-yi)=x-3+yi

we write this equation   -2 - 2i = (x-3)  +yi

so -2=x-3                  and       -2i=yi    

    +3      +3                               :i    :i

    1=x                                         -2= y

so x=1      and   y= -2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30x + 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{6(2x + 1) + 3(6x + 2)}[/tex]

Distribute 6 through the parentheses

Similarly, distribute 3 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 6 + 18x + 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{12x + 18x + 6 + 6}}[/tex]

[tex] \dashrightarrow{ \sf{30x + 6 + 6}}[/tex]

Add the numbers : 6 and 6

[tex] \dashrightarrow{ \sf{30x + 12}}[/tex]

Hope I helped!

Best regards! :D

Answer:

x2y = 9

Step-by-step explanation: