The graphs of y=x+4 and y=−2x+1 are shown. What is the solution of the system?



A. (−4,0)
B. (−1,3)
C. (0,1)
D. (0,4)

Answer:

3x + y = 20 and x - 2y = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

Given

3x + y = 17 ( subtract 3x from both sides )

y = - 3x + 17 ← in slope- intercept form

with slope m = - 3

Para;;el lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = - 12 + c ⇒ c = 8 + 12 = 20

y = - 3x + 20 ← in slope- intercept form

Add 3x to both sides

3x + y = 20 ← in standard form

--------------------------------------------------------

(b)

Given

y + 2x = 13 ( subtract 2x from both sides )

y = - 2x + 13 ← in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 1 + c ⇒ c = 3 - 1 = 2

y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form

Multiply through by 2 to clear the fraction

2y = x + 4

x - 2y = - 4 ← in standard form

Answer:

I'm going to also give you how to get the answer... not just the answer.. you will need to know this for a test :/  so learn it  :P

Step-by-step explanation:

Sin(30)=12

to remember what Sin and Cos at those speacial angles in degrees are.. just use this Sin(degrees)

Sin(0) = 0/2         =0

Sin(30)= [tex]\sqrt{1}[/tex]/2         = 1/2

Sing(45) = [tex]\sqrt{2}[/tex]/2    = [tex]\sqrt{2}[/tex]/2

Sin(60)=[tex]\sqrt{3}[/tex]/2   = [tex]\sqrt{3}[/tex]/2

Sin(90)=[tex]\sqrt{4}[/tex]/2    = 1

Cos is exactly the same but counts backwards from 90°

Cos(90) = 0/2         =0

Cos(60) =  [tex]\sqrt{1}[/tex]/2         = 1/2

Cos(45) = [tex]\sqrt{2}[/tex]/2    = [tex]\sqrt{2}[/tex]/2

Cos(30) = [tex]\sqrt{3}[/tex]/2   = [tex]\sqrt{3}[/tex]/2

Cos(0) =[tex]\sqrt{4}[/tex]/2    = 1

note that the numerators just count from  0,1,2,3,4  , see?  you can remember sin and cos  now  :)   since you can count to 4   :P

Sin(30) =12

1/2 =12  while that statement makes no sense....  obviously 1/2 isn't equal to 12 but.. what's being said is that the angle of 30°  gives you a side that is 12 units long.  

so looking at what I wrote above.. which angle in degrees matches Sin when you look at Cos?  

Sin(30)= 1/2 and Cos(60) also = 1/2  huh

sooo  β = 60 °

got it?  :/

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The discriminant is ...

  b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112

A negative discriminant means there are no real solutions to the equation.

_____

The complex solutions are 1±i√7.

If we assume the equation has a typographical error and is intended to be ...

  2x^2 -4x -16 = 0

The solutions are x = -2 and x = 4.

Answer:

You can't solve for ab, but you can simplify:

3 + 5ab

Step-by-step explanation:

7 + 6ab - ab - 4

7 + 5ab - 4

3 + 5ab

Answer:

8ab

Step-by-step explanation:

7-4+6ab-ab

3+5ab

8ab

Answer:

C

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

Answer: x < 4

Step-by-step explanation: To plot an inequality, find the number and go the way the sign is pointing.

In this problem...

The less than sign is pointing left, and the number is 4. We use an open circle because the sign is not equal to. If it was, we would of put a closed circle.

<, or > = Open circle (Not shaded)

≤, or ≥ = Closed circle (Shaded)

I attached a image to proof the answer is correct.

Let me know if you have any questions.

~ Lily, from Brainly.

Answer:

1005.3 ft³

Step-by-step explanation:

cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?

Given that:

Base diameter = 8feets

Radius, r = 8/2 = 4 feets

Height h, = 20 feets

Volume of cylinder, V = πr²h

V = π * 4² * 20

V = π * 16 * 20

V = 1005.3096

V = 1005.3096 ft³

Answer:

A ∝ BCD or A = kBCD (k = constant ), then A varies jointly as B, C and D.

Step-by-step explanation:

The value of 'w' when x = 4 and y = 3 is, 40.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The value of w varies jointly with x and y.

Let, w ∝ xy ⇒ w = kxy.

5 = k×(3/4)×2.

5 = (3/2)k.

k = 10/3.

Now, x = 4 and y = 3.

Therefore,

w = (10/3)×4×3.

w = 40.

learn more about proportion here :

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Answer:

Answer is 50cc Number D

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3.4.2

Answer:

23

Step-by-step explanation:

6(4) - 1

24 - 1

23

......

Answer:

in 2.5 hours the bird will fly 150 miles

Step-by-step explanation:

take 60 mins and divide it into 4(=15) take 15 and multiply it by 10 leaving 150 miles in 2hours and 30 minutes

send a picture pls so I can help you

Answer:

Step-by-step explanation:

open circle on -4 and open circle on 4 and a line connecting them

Answer:

38 / 8 is 4.75

Step-by-step explanation:

Um I tried putting a photo of my work but it wouldn't let me sorry ;-;

Answer:

1. 70.84

2. 144.75

3. 147.89

4.295.89

Answer:

The third graph is correct for the inequality 2x + 3y > -3

Step-by-step explanation:

The slope of the graph is –2/3.

The y-intercept is –1

The area above the dashed be line is shaded.

To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.

For example: (1,1)

2(1) + 3(1) > –3

2 + 3 > –3

5 > –3 True.

The graph that represents [tex]2x + 3y > -3[/tex] is (3)

The inequality is given as:

[tex]2x + 3y > -3[/tex]

Subtract 2x from both sides of the inequality

[tex]3y > -3 -2x[/tex]

Divide through by 3

[tex]y > -1 -\frac 23x[/tex]

Rewrite the inequality as follows:

[tex]y > -\frac 23x-1[/tex]

The above inequality means that:

Hence, the graph that represents [tex]2x + 3y > -3[/tex] is (3)

Read more about inequalities at:

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Answer:

I think It is the second one

Step-by-step explanation:

I hope this helps:)

Answer:

Part A

The proof of the conditions for similarity is presented as follows;

If           ∠O ≅ ∠V;   [tex]\dfrac{OJ}{AL} = \dfrac{OY}{FA}[/tex]

Then     ΔJYO ~ ΔLFA by SAS similarity theorem

Part B

If           ∠A ≅ ∠U;   [tex]\dfrac{AR}{US} = \dfrac{AY}{UN}[/tex]

Then     ΔRAY ~ ΔSUN by SAS similarity theorem

Step-by-step explanation:

By the Side-Angle-Side SAS similarity theorem, If a triangle that have two of its sides proportional to two sides of another triangle and the included angle between the proportional sides in both triangles are congruent the two triangles are similar

Answer:

11%/ 0.11

Step-by-step explanation:

I=prt

154=700*x*2

154=1400x

divide 1400 by both sides

=0.11

or 11%

Answer:0

Step-by-step explanatio cuz 2x7 is 14 14-14 is 0 and 0+0 is 0 so its 0

Answer:

A) 2nd quadrant

B) 2th quadrant

Step-by-step explanation:

hope this helps have a nice day!!

Answer:

nice

Step-by-step explanation:

Answer:

if it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth.

The increase after 10 years is (108%)^10 - 100% which is bigger than 80%.

If the value of a stock increases by 8% each year, then, that is not equal to the value of a stock increases 80% each decade.

The degree to which a value increases expressed in percent form is known as percentage increase.

Given that, The value of a stock increases by 8% each year.

a) If it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth, the incasement in percentage is an exponential increase not a linear increase, so we can't say that, the value of the stock increases 80% each decade

b) Since,  (108%)¹⁰ > 80%

Hence, the increase after 10 years is (108%)¹⁰, will be bigger than 80%.

Hence, If the value of a stock increases by 8% each year then, that is not equal to the value of a stock increases 80% each decade

For more references on percentage increase, click;

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