The graph plots for equations, a,b,c, and d: which pair of equations have (4,8) as its solution?

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AOBC is a parallelogram ,

Thus :

[tex]OA = BC = a[/tex]

And ;

[tex]AC = OB = b [/tex]

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M is the midpoint of AC ,

So :

[tex]AM = MC = \frac{b}{2} \\ [/tex]

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According to case of Cosine in ∆ OAM :

[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]

So :

[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]

[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]

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I have something more to tell.

Just for know more...

According to the case of Sine in ∆ OAM :

[tex] \frac{OM}{ sin(A) } = \frac{

AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]

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Answer:uh

Step-by-step explanation:

Answer:

slope(m)=change in y/change in x

-7=y-(-2)/x-(-7)

-7=y+2/x+7

-7(x+7)=y+2

-7x-49=y+2

-7x-49-2=y

-7x-51=y (B)

Answer:

A - 1:6

Step-by-step explanation:

Answer:

16

m=10 per hour=1

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

B.................

Answer:

triangular pyramid

Step-by-step explanation:

its 4 triangular shapes put them together and you get a pyramid not a rectangular, square pyramid or prism and neither a triangular prism

Answer:

Subtract 6x on both sides

Add 4 on both sides

[tex]x^{2} -9x+20=0[/tex]

Step-by-step explanation:

[tex]x^{2} -3x+16=6x-4\\\\x^{2} -9x+20=0[/tex]

Answer:

25

Step-by-step explanation:

5(x+6)−(5−x)−6x

Remember PEMDAS

P – Parentheses

E – Exponents

M – Multiplication

/D – Division  (whichever comes first from left to right)

A – Addition

/S – Subtraction (whichever comes first from left to right)

First, let's distribute the left side:

5 * x = 5x

5 * 6 = 30

5x + 30

Now, lets distribute the right side

-(5 - x) = -1(5 - x)

-1 * 5 = -5

-1 * -x = x  ( - * - = +)

x - 5

Now we have:

5x + 30 + x - 5 - 6x

Let's combine like terms.

5x, -6x, and x are like terms. 5x + x =  6x - 6x = 0

30 and -5 are like terms. 30 - 5 = 25

25

Since we can't simplify this any further, that is our answer.

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Answer:

27.7778

Step-by-step explanation:

If 13 out of 18 players are seniors then 5 of them are not.

To find the percentage you do (5/18) ⋅ 100

5 divided by 18 gives us 0.27777778

Then we multiply by 100 (or move the decimal point two spaces to the right)

The result should be 27.7778%

(the 7s go on forever)

Answer:

11.2 hours

Step-by-step explanation:

The unknown is the hour time: 120+50.30x=250+38.70x. Now solve it: Subtract 38.70 and 120 from both sides and you get 11.6x=130 x=130/11.6 or 11.2 (about)

So the answer is 11.2 hours. Hope this helps :D

Answer:

So your answer is x = 11.2068965517

or

about, X = 11.21 (to the nearest tenth)

Step-by-step explanation:

50.30x + 120 = 38.70x + 250 (Given)

Move variables to the right and constants to the left by subtracting both sides.

11.6x = 130 (subtraction Property of equaity)

x = 11.2068965517 (Division property of equality)

Answer: d,f

[tex]-x\geq 4\\=> x\leq -4[/tex]

=> all the values are d and f

Step-by-step explanation:

Answer:

[tex]\boxed {129\textdegree}[/tex]

Step-by-step explanation:

Both angles labeled, are actually Supplementary Angles (which two angles that add up to [tex]180\textdegree[/tex]). So, to find the missing measurement of an angle, which is the angle labeled in [tex]x[/tex], you need to take [tex]51\textdegree[/tex] and subtract it from [tex]180\textdegree[/tex] to get the missing angle measurement:

[tex]180\textdegree - 51\textdegree[/tex]

[tex]\boxed {129\textdegree}[/tex] (angle measurement for the angle labeled in [tex]x[/tex])

Answer:

-8d-5

Step-by-step explanation:

Distribute the Negative Sign:

=−6d+2+−1(7+2d)

=−6d+2+(−1)(7)+−1(2d)

=−6d+2+−7+−2d

Combine Like Terms:

=−6d+2+−7+−2d

=(−6d+−2d)+(2+−7)

=−8d−5

Answer:

B. 1/2

Step-by-step explanation:

You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.

1/2 inch : 1 week

1/2

I Hope That This Helps! :)

Answer:

(a) 2000 mL

(b) 70 mL, 30 mL

(c) No

Step-by-step explanation:

Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.

(a) Let x mL of Artesia is added to 500  mL of Borromeo to produce a 60% acid solution.

So, 70% of x + 20% of 500 = 60% of (x+500)

[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]

[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.

(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.

So, x+y=100\Rightarrow y= 100-x

And, 70% of x + 20% of y = 55% of (100)\\\\

[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]

[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.

and y= 100-x= 100-70=30 mL.

(c)  Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.

And, 70% of x + 20% of y = 80% of (x+y)

[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]

As x and y are amount of Artesia and Borromeo, so x>0 and y>0

[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.

Ad the negative value of x/y is not so x/y=-6 is not possible, hence,  any combination of Artesia and Borromeo that is 80% acid solution is not possible.

Answer:

40%

Step-by-step explanation:

9514 1404 393

Answer:

  (x -t -250)/2

Step-by-step explanation:

The amount left from x after paying t and 250 is ...

  x -t -250

If this is split into two equal parts, each share is ...

  share = (x -t -250)/2

Answer:

B C E

Step-by-step explanation:

(:

Answer: 13 months.

Step-by-step explanation:

25+10+10+10+10+10+10+10+10+10+10+10+10+10= $155

Answer:

sad

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(\sqrt(25)-10)+5  = -10

It's B 3(√25 -10)+5

Answer:

D

Step-by-step explanation:

it is because the brackets at B makes sense when you calculate individually

Answer:

2.9843075e+20

Step-by-step explanation:

Am pretty sure tht the answer

Answer:

a+3

2a+6

3a+9

Step-by-step explanation:

simplify by dividing by 7 and then multiply by any number in this case I did 1, 2 and 3

Answer:

B...i'm pretty sure that this Is the right one

Answer:

Step-by-step explanation:

a. f(5) = 5+7 = 12

b. f(-1) = -1+7 =6

c. f(-3) = -3+7 =4

Answer:

she can't finish reading the book in 10 days

Step-by-step explanation:

Given that:

Number of pages = 325

Number of pages read per day= 25

Using the linear relation:

y = mx + c

y = number of pages left

m = reading rate ; c = initial number of pages

y = - 25x + 325

Point slope relation :

y - y1 = m(x - x1)

m = slope

We can factorise the equation to the point slope form:

y - 325 = 25(0 - 10)

y - 325 = 0 - 250

y - 325 = - 250

y = - 250 + 325

y = 75

Hence, number of pages left after 10 days = 75, thus she can't finish reading the book in 10 days

Answer:

The answer shoudl be 6.2 miles

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

Most likely A.

Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low  

Answer:

$1015

Step-by-step explanation:

280 divided by 2 140 times $7.25 is $1015

The amount of money that the store lose by giving away the free tubes of paint is $1015.

Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.

Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:

= 140 × $7.25

= $1015

Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.

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