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frutty [35]
3 years ago
11

Question 6 of 15

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

LE=5\ units

Step-by-step explanation:

we know that

In a rectangle, the two diagonals are congruent and each diagonal bisects the other

so

LN=2KE ----> equation A

KE=LE -----> equation B

step 1

Find the value of x

solve equation A

LN=2KE

substitute the given values

(2x+2)=2(3x-7)

solve for x

2x+2=6x-14\\6x-2x=2+14\\4x=16\\x=4

step 2

Find the value of KE

KE=3x-7

substitute the value of x

KE=3(4)-7=5\ units

Remember that

KE=LE  -----> by each diagonal bisects the other

therefore

LE=5\ units

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The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are
shtirl [24]

Answer:

Step-by-step explanation:

(x - 3)/2= 1

x - 3 = 2

x = 5

(y - 8)/2 = -2

y - 8 = -4

y = 4

(5, 4) coordinates for B

3 0
2 years ago
The cost of staying in a hotel is given by the formula C=50d+20, where C is the cost in £ and d is the number of days a person s
Fynjy0 [20]

Answer:

a) £320

b) £720

c) 2 days

Step-by-step explanation:

The question is all about inputting values and finding a result or rearranging and finding a result.

a) d = 6. C = 50(6)+20      = 320

b) d = 2x7 (7 days a week)  C = 50(2x7) + 20     = 720

c) C = 120 ... 120 = 50d+20

100 =50d      d = 100/50      = 2

3 0
2 years ago
There are total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotic
kari74 [83]
First off we have x number of students in the robotics club, 12 more in the Science club, and 84 students in total. This means:
Robotics Club = x
Science Club = (x + 12)
Total = 84

Okay, so here's the equation:

x + (x + 12) = 84 ~ Add like terms.
2x + 12 = 84 ~ Subtract 12 by both sides.
2x = 72 ~ Divide both sides by 2.
x = 36 ~ Meaning that the Robotics Club has 36 members.

At this point you can do: 84 - 36 = 48 which gives you the number of members in the Science Club, though...:

36 + (36 + 12) = 84 ~ Add the two in the parenthesis to get your answer.
36 + 48 = 84 ~ 48 is the number of Students in the Science Club.
84 = 84

In conclusion: The Science Club has 48 students.

Hope that helps. ^ ^
{-Ghostgate-}
8 0
3 years ago
(3.5x10^5)/(5x10^-3)
DerKrebs [107]

Answer:

70000000

Step-by-step explanation:

(3.5x10^5)/(5x10^-3) = 70000000/1

I'm sorry if the answer is wrong

4 0
2 years ago
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N a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above th
tresset_1 [31]

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

h(t) = -2t^{2} + 10t

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

h(0) = -2*0^{2} + 10*0 = 0

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

8 0
3 years ago
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