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2 years ago

Resolver por igualación 2x+3y=2 6x+12y=1

Mathematics

1 answer:

tigry1 [53]2 years ago

5 0

Answer:

$x = 3.5$

$y\approx1.666666667$

Step-by-step explanation:

To solve simultaneous equations, at least one of our variables must have the same coefficient. We can easily multiply the first equation by 4 to get 12y on both sides, so let's do that:

$8x + 12y = 8$

No let's subtract the second equation from the first equation to get the third equation:

$2x = 7$

Solve:

$x = 3.5$

Now, we can substitute this value into one of the original equations - let's use the second one:

$21 + 12y = 1$

Solve:

$12y = - 20$

$y = - \frac{ - 20}{12} = \frac{ - 10}{6} = - \frac{5}{3} \approx - 1.66666666667$

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Solve for c. a(c−b)=d

tatiyna

Answer:

c= ab + d/ a

Step-by-step explanation:

Let's solve for c.

a(c-b)=d

Step 1: Add ab to both sides.

-ab + ac + ab = d+ ab

ac = ab + d

Step 2: Divide both sides by a.

ac / a = ab + d / a

c = ab + d/ a

Answer:

c= ab + d/ a

Hope this helps ☝️☝☝

3 0

3 years ago

Which polynomials are prime? Check all that apply.

insens350 [35]

15x2+10x-9x+7
8x3+20x2+3x+12
11x4+4x2-6x2-16
Hope this helps !!

8 0

3 years ago

Read 2 more answers

What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm long, 11 cm wide, and 10 cm tal

sammy [17]

Answer:

√446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

Additional comment

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

8 0

2 years ago

The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying a

dybincka [34]

Answer:

The equation $35x+93\frac{3}{4} =190$ gives average time spent on 35 rehearsals.

Step-by-step explanation:

We are supposed to find that what question does the equation $35x+93\frac{3}{4} =190$ finds answer of.

We can see that 35x represents time spent on 35 rehearsals and $93\frac{3}{4}$ is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

$35x+\frac{375}{4} =190$

After subtracting $93\frac{3}{4}$ hours from 190 hours we will get time spent on 35 rehearsals.

$35x =190-\frac{375}{4}$

$35x =\frac{760-375}{4}$

$35x =\frac{385}{4}$

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

$x =\frac{96.25}{35}=2.75$

Therefore, equation $35x+93\frac{3}{4} =190$ finds average time spent on 35 rehearsals.

7 0

3 years ago

Read 2 more answers

2 Points What is the center of the circle given by the equation (x+ 5)^2 + (y-8)^2 = 1?

Y_Kistochka [10]

Answer:

(- 5, 8 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 5)² + (y - 8)² = 1 ← is in standard form

with centre (h, k ) = (- 5, 8 )

5 0

3 years ago