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Marina86 [1]
3 years ago
10

Which system is equivalent to​

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
7 0

The answer above is right

Anna007 [38]3 years ago
5 0

Answer:

the forth one

Step-by-step explanation:

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The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
Calculate the area of triangle ABC with altitude CD, given A (6,0) B(1,5) C (2,0) and D (4,2)
Elina [12.6K]
So hmm check the picture below

the height or altitude is CD
and the base is AB

how long are those? well \bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;A&({{ 6}}\quad ,&{{ 0}})\quad &#10;%  (c,d)&#10;B&({{ 1}}\quad ,&{{ 5}})\\\\&#10;C&({{ 2}}\quad ,&{{ 0}})\quad &#10;%  (c,d)&#10;D&({{ 4}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;AB=\sqrt{(1-6)^2+(5-0)^2}\qquad \qquad CD=\sqrt{(4-2)^2+(2-0)^2}

7 0
4 years ago
Read 2 more answers
Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro
pentagon [3]
Y=mx+b
x=number of newspapers
37.5 earned for 5 newspapers
37.5=5m+b

earned 75 and deliverd 20 newpapers
75=20m+b

we have

37.5=5m+b and
75=20m+b
multiply first equaiton by -1 and add to other equaiton

-37.5=-5m-b
<u>75=20m+b  +</u>
37.5=15m+0b

37.5=15m
divide both sides by 15
2.5=m

sub back to find b
75=2.5(20)+b
75=50+b
minsu 50 both sides
25=b

y=2.5x+25 is lnear funtion
7 0
3 years ago
Read 2 more answers
6 divided by 7.6 times 44
Delvig [45]

Answer:55.73333333333

Step-by-step explanation:

7 0
3 years ago
What number(s) should be distributed<br> -2(x -3)
aliya0001 [1]
-2 should be distributed to (x-3). so you would get the answer of -2x+6
5 0
3 years ago
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