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SVETLANKA909090 [29]
3 years ago
8

Which equations support the fact that rational numbers are closed under addition?

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

3/16+3/16=6/16

Step-by-step explanation:

HOPE ITS HELP YOU

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Please help. Thank you
Inessa [10]

Given:

PQRS\sim TUVW

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

PQRS\sim TUVW

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

k=\dfrac{VW}{RS}

k=\dfrac{25}{35}

k=\dfrac{5}{7}

Therefore, the scale factor from PQRS to TUVW is k=\dfrac{5}{7}.

6 0
4 years ago
Slope intercept form that passes though the point (-2,-3) and has a slope of 5/2
olganol [36]

\text{Given that,}\\\\(x_1,y_1) = (-2,-3), ~~\text{and slope,}~~m = \dfrac 52\\\\\\\text{Now,}\\\\y -y_1 =m(x-x_1)\\\\\implies y +3 = \dfrac52 (x+2)\\\\\implies y = \dfrac 52(x+2) -3\\\\\\\implies y = \dfrac{5}2 x + 5 -3 \\\\\\\implies y = \dfrac 52 x + 2\\\\\\\text{This is the slope-intercept form(y =mx+b)}.

8 0
3 years ago
Read 2 more answers
2x + 5y = -3<br> 2x + 2y = 6
oee [108]

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + 5y = - 3 → (1)

2x + 2y = 6 → (2)

Subtracting (1) from (2) term by term will eliminate the x- term

(2x - 2x) + (2y - 5y) = 6 - (- 3), that is

- 3y = 9 ( divide both sides by - 3 )

y = - 3

Substitute y = - 3 in either of the 2 equations and solve for x

Substituting y = - 3 in (1)

2x + 5(- 3) = - 3

2x - 15 = - 3 ( add 15 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Solution is (6, - 3 )

8 0
3 years ago
Read 2 more answers
Allison runs for 1 3/4 minutes and travels 1/5 mile. What is her speed in miles per minute?
Mars2501 [29]
41.5 jus look it up on the internet
6 0
3 years ago
5 friends are going on a 3 kilometer hike. Each person is going to lead the group for an equal distance of their hike. How many
kykrilka [37]

Answer:

  0.6 km

Step-by-step explanation:

(3 km)/(5 friends) = 0.6 km/friend

Each person should lead for 0.6 km.

6 0
3 years ago
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