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Sidana [21]
3 years ago
12

In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4. What is the length of a diagonal?

Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

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The following lines are ______ <br><br> 4x + 2y = 10 y = -2x + 15
zmey [24]

Answer:

Parallel

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + 2y = 10 ( subtract 4x from both sides )

2y = - 4x + 10 ( divide through by 2 )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

and

y = - 2x + 15 ← is in slope- intercept form

with slope m = - 2

• parallel lines have equal slopes

then the 2 lines are parallel

4 0
1 year ago
Read 2 more answers
Which expression is not a perfect square trinomial?
puteri [66]

Answer:

Remember that a perfect square trinomial can be factored into the form (a+b)^2

or (a-b)^2

Examples:

(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - brainly.com/question/10522355#readmore

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Round 548.8 to the nearest thousand.
mote1985 [20]

Answer:

The answer is 1,000

8 0
3 years ago
Carla wants the total weight of the bags to be four pounds. If she can only pick one more bag, which bag weight should she pick?
pychu [463]

Answer:

1/8

Step-by-step explanation:

To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.

There are three -pound bags.

There are six -pound bags.

There are four -pound bags.

Multiply the weight and number of each bag to find the total weight of each different weight bag.

Now, add the three totals.

Finally, subtract the total weight from four pounds in order to find which weight Carla needs.

So, Carla should pick one -pound bag of candy to total four pounds.

4 0
2 years ago
If d = 390 mi, and r = 60 mi/h. what is the value of time (t)?
Jobisdone [24]
D = 390mi
r = 60 mi/h

390/60 = 6.5

(t) = 6.5 h
5 0
3 years ago
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