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kvasek [131]
3 years ago
9

I need help on this math problem.

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

B: (0, a)

C should have the same y value as B

D: (a,0)

C should have the same x value as D


So point C is (a,a)

Since point A is on the origin, its point is (0,0)


You use the slope formula and plug in point A and C:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{a-0}{a-0}

m=\frac{a}{a}

m = 1


So the value that belongs in the green box is 1


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Please help ASAP!!
marta [7]

Answer:

D. NM=12; mK=70°

Step-by-step explanation:

KN≈KM so they have the same 55° and then

180°-55°-55°=70° and

6*2=12

3 0
3 years ago
joe weighs 20lbs.less yhantwice jeffs weight.if jeff would gain 10lbs.,then together they wouldweigh 250lbs. how much does each
masya89 [10]
So,

Let x represent Joe's weight and y represent Jeff's weight.

"Joe weighs 20 lbs. less than twice Jeff's weight."
x = 2y - 20

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
(y + 10) + x = 250

We now have our two open sentences.
x = 2y - 20
(y + 10) + x = 250

Get rid of parentheses.
x = 2y - 20
x + y + 10 = 250

We will use Elimination by Substitution.
2y - 20 + y + 10 = 250

Collect Like Terms.
3y - 10 = 250

Add 10 to both sides.
3y = 260

Divide both sides by 3.
Jeff's\ weight = 86 \frac{2}{3} \ lbs.

Substitute again.
x = 2(86 \frac{2}{3} )-20

Multiply.
x = 173 \frac{1}{3} -20

Subtract.
Joe's\ weight = 153 \frac{1}{3}\ lbs.

Check.

"Joe weighs 20 lbs. less than twice Jeff's weight."
Jeff's weight times two is 173 and one-third.
20 lbs. less than that is 153 and one-third lbs. Check.

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
86 and two-thirds + 10 = 96 and two-thirds.
96 and two-thirds + 153 and one-third equals 250 lbs. Check.

Joe's\ weight\ is\ 153 \frac{1}{3} \ lbs.
Jeff's\ weight\ is\ 86 \frac{2}{3} \ lbs.
3 0
3 years ago
Pls help me I don't understand​
frutty [35]

Answer:

d. \:  \:  \: 25 {x}^{6}

Step-by-step explanation:

Given,

Side of the square

= 5 {x}^{3}

Therefore, area of the square = side × side

=  {5x}^{3}  \times 5 {x}^{3}

= 5 \times 5 \times  {x}^{3 + 3}

= 25 {x}^{6}

8 0
3 years ago
Read 2 more answers
Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3
chubhunter [2.5K]

Answer:

The simplified form is \dfrac{2(x-1)}{3(x+1)}.

x =1 is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

\dfrac{2a^2-4a+2}{3a^2-3}

Let us simplify the numerator and denominator separately.

The numerator is given as 2a^2-4a+2

2 is a common factor in all the three terms. So, we factor it out. This gives,

=2(a^2-2a+1)

Now, a^2-2a+1=(a-1)(a-1)

Therefore, the numerator becomes 2(a-1)(a-1)

The denominator is given as: 3a^2-3

Factoring out 3, we get

3(a^2-1)

Now, a^2-1 is of the form a^2-b^2=(a-b)(a+b)

So, a^2-1=(a-1)(a+1)

Therefore, the denominator becomes 3(a-1)(a+1)

Now, the given expression is simplified to:

\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}

There is (x-1) in the numerator and denominator. We can cancel them only if x\ne1 as for x=1, the given expression is undefined.

Now, cancelling the like terms considering x\ne1, we get:

\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}

Therefore, the simplified form is \dfrac{2(x-1)}{3(x+1)}

The simplification is true only if  x\ne1. So, x =1 is the excluded value for the given expression.

8 0
4 years ago
Easy Question, Easy Points<br><br><br>Topic: Volume<br><br><br>Focus on question 12
Sever21 [200]

Answer:

The air is .6m^3

Step-by-step explanation:

The volume of a cube is

V = s^3 where s is the side length

The volume of the tank is

V = 1^3 = 1 m^3

The volume of the water is 1 by 1 by .4

V = l*w*h

   = 1 *1*.4

   = .4 m^3

The difference must be filled by air

1- .4 = .6 m^3

The air is .6m^3

3 0
3 years ago
Read 2 more answers
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